IBPS:Blood Relations Questions and answers

1. Pointing to a photograph Lata says, "He is the son of the only son of my

grandfather." How is the man in the photograph related to Lata?

A. Brother B. Uncle

C. Cousin D. Data is inadequate

Answer & Explanation

Answer: Option A

Explanation:

The man in the photograph is the son of the only son of Lata's grandfather

i.e., the man is the son of Lata's father. Hence, the man is the brother of

Lata.

2. If A + B means A is the mother of B; A - B means A is the brother B; A % B means A is the

father of B and A x B means A is the sister of B, which of the following shows that P is the

maternal uncle of Q?

A. Q - N + M x P B. P + S x N - Q

C. P - M + N x Q D. Q - S % P

Answer & Explanation

Answer: Option C

Explanation:

P - M → P is the brother of M

M + N → M is the mother of N

N x Q → N is the sister of Q

Therefore, P is the maternal uncle of Q.

3. If A is the brother of B; B is the sister of C; and C is the father of D, how D is related to A?

A. Brother B. Sister

C. Nephew D. Cannot be determined

Answer & Explanation

Answer: Option D

Explanation:

If D is Male, the answer is Nephew.

If D is Female, the answer is Niece.

As the sex of D is not known, hence, the relation between D and A cannot be determined.

Note: Niece - A daughter of one's brother or sister, or of one's brother-in-law or sister-in-law.

Nephew - A son of one's brother or sister, or of one's brother-in-law or sister-in-law.

4. If A + B means A is the brother of B; A - B means A is the sister of B and A x B means A is the

father of B. Which of the following means that C is the son of M?

A. M - N x C + F B. F - C + N x M

C. N + M - F x C D. M x N - C + F

Answer & Explanation

Answer: Option D

Explanation:

M x N → M is the father of N

N - C → N is the sister of C

and C + F → C is the brother of F.

Hence, M is the father of C or C is the son of M.

5. Introducing a boy, a girl said, "He is the son of the daughter of the father of my uncle." How is

the boy related to the girl?

A. Brother B. Nephew

C. Uncle D. Son-in-law

Answer & Explanation

Answer: Option A

Explanation:

The father of the boy's uncle → the grandfather of the boy and daughter of the grandfather →

sister of father.

6. Pointing to a photograph of a boy Suresh said, "He is the son of the only son of my mother."

How is Suresh related to that boy?

A. Brother B. Uncle

C. Cousin D. Father

Answer & Explanation

Answer: Option D

Explanation:

The boy in the photograph is the only son of the son of Suresh's mother i.e., the son of

Suresh. Hence, Suresh is the father of boy.

7. If A + B means A is the brother of B; A x B means A is the son of B; and A %

B means B is the daughter of A then which of the following means M is the

maternal uncle of N?

A. M + O x N B. M % O x N + P

C. M + O % N D. None of these

Answer & Explanation

Answer: Option D

Explanation:

Because the sex of O is not known.

8. If D is the brother of B, how B is related to C? To answer this question which

of the statements is/are necessary?

1. The son of D is the grandson of C.

2. B is the sister of D.

A. Only 1 B. Only 2

C. Either 1 or 2 D. 1 and 2 both are required

Answer & Explanation

Answer: Option D

Explanation:

Given: D is the brother of B.

From statement 1, we can detect that D is son of C (son of D is the grandson

of C).

From statement 2, we can detect that B is 'Female' (sister of D).

Therefore, B is daughter of C.

9. If A + B means A is the father of B; A - B means A is the brother B; A % B

means A is the wife of B and A x B means A is the mother of B, which of the

following shows that M is the maternal grandmother of T?

A. M x N % S + T B. M x N - S % T

C. M x S - N % T D. M x N x S % T

Answer & Explanation

Answer: Option A

Explanation:

M x N → M is the mother of N

N % S → N is the wife of S

and S + T → is the father of T.

Hence, M is the maternal grandmother of T.

10. Pointing to a photograph. Bajpai said, "He is the son of the only daughter of

the father of my brother." How Bajpai is related to the man in the

photograph?

A. Nephew B. Brother

C. Father D. Maternal Uncle

Answer & Explanation

Answer: Option D

Explanation:

The man in the photo is the son of the sister of Bajpai. Hence, Bajpai is the

maternal uncle of the man in the photograph.

11. Deepak said to Nitin, "That boy playing with the football is the younger of the

two brothers of the daughter of my father's wife." How is the boy playing

football related to Deepak?

A. Son B. Brother

C. Cousin D. Brother-in-law

Answer & Explanation

Answer: Option B

Explanation:

Father's wife → mother. Hence, the daughter of the mother means sister and

sister's younger brother means brother. Therefore, the boy is the brother of

Deepak.

12. If X + Y means X is the daughter of Y; X - Y means X is the brother of Y; X % Y means X is

the father of Y and X x Y means X is the sister of Y. Which of the following means I is the niece

of J?

A. J - N % C x I B. I x C - N % J

C. J + M x C % I D. I x C + N - J

Answer & Explanation

Answer: Option D

Explanation:

I x C → I is the sister of C

C + N → C is the daughter of N

and N - J → N is the brother of I.

Hence, I is niece of J.

13. Veena who is the sister-in-law of Ashok, is the daughter-in-law of Kalyani.

Dheeraj is the father of Sudeep who is the only brother of Ashok. How Kalyani

is related to Ashok?

A. Mother-in-law B. Aunt

C. Wife D. None of these

Answer & Explanation

Answer: Option D

Explanation:

Ashok is the only brother of Sudeep and Veena is the sister-in-law of Ashok.

Hence Veena is the wife of Sudeep. Kalyani is the mother-in-law of Veena.

Kalyani is the mother of Ashok.

14. If A + B means A is the sister of B; A x B means A is the wife of B, A % B

means A is the father of B and A - B means A is the brother of B. Which of the

following means T is the daughter of P?

A. P x Q % R + S - T B. P x Q % R - T + S

C. P x Q % R + T - S D. P x Q % R + S + T

Answer & Explanation

Answer: Option B

Explanation:

P x Q → P is the wife of Q

Q % R → Q is the father of R

R - T → R is the brother of T

T + S → T is the sister of S.

Therefore, T is the daughter of P.

15. Pointing to a woman, Abhijit said, "Her granddaughter is the only daughter of

my brother." How is the woman related to Abhijit?

A. Sister B. Grandmother

C. Mother-in-law D. Mother

Answer & Explanation

Answer: Option D

Explanation:

Daughter of Abhijit's brother → niece of Abhijit. Thus the granddaughter of

the woman is Abhijit's niece.

Hence, the woman is the mother of Abhijit.

16. Amit said - "This girl is the wife of the

grandson of my mother". How is Amit

related to the girl?

A. Father B. Grandfather

C. Husband D. Father-in-law

Answer & Explanation

Answer: Option D

Explanation:

The girl is the wife of grandson of Amit's

mother i.e., the girl is the wife of son of

Amit. Hence, Amit is the father-in-law of

the girl.

17. A and B are children of D. Who is the father of A? To answer this question which of the

statements (1) and (2) is necessary?

1. C is the brother of A and the son of E.

2. F is the mother B.

A. Only (1) B. Only (2)

C. Either (1) or (2) D. (1) and (2) both

Answer & Explanation

Answer: Option B

Explanation:

A and B are children of D.

From (1), C is the brother B and son of E.

Since, the sex of D and E are not known. Hence (1) is not sufficient to answer the question.

From (2). F is the mother of B. Hence, F is also the mother of A. Hence D is the father of A.

Thus, (2) is sufficient to answer the question.

18. Pointing towards a man, a woman said, "His mother is the only daughter of my mother." How

is the woman related to the man?

A. Mother B. Grandmother

C. Sister D. Daughter

Answer & Explanation

Answer: Option A

Explanation:

Only daughter of my mother → myself.

Hence, the woman is the mother of the man.

19. If P $ Q means P is the brother of Q; P # Q means P is the mother of Q; P * Q means P is the

daughter of Q in A # B $ C * D, who is the father?

A. D B. B

C. C D. Data is inadequate

Answer & Explanation

Answer: Option A

Explanation:

A is the mother of B, B is the brother of C and C is the daughter of D. Hence, D is the father.

A (Parents) D

B - is - Brother - of - C

20. Introducing Salman, Aamir says, "She is the wife of only nephew of only brother of my

mother." How Salman is related to Aamir?

A. Wife B. Sister

C. Sister-in-law D. Data is inadequate

Answer & Explanation

Answer: Option A

Explanation:

Brother of mother means maternal uncle. Hence only nephew of Aamir's maternal uncle means

Aamir himself. Therefore Salman is the wife of Aamir.

21. If A + B means A is the brother of B; A % B means A is the father of B and A x B means A is

the sister of B. Which of the following means M is the uncle of P?

A. M % N x P B. N x P % M

C. M + S % R % P D. M + K % T x P

Answer & Explanation

Answer: Option D

Explanation:

M + K → M is the brother of K

K % T → K is the father of T

T x P → T is the sister of P

Therefore, K is the father of P and M is the uncle of P.

22. Pointing to Varman, Madhav said, "I am the only son of one of the sons of his father." How is

Varman related to Madhav?

A. Nephew B. Uncle

C. Father or Uncle D. Father

Answer & Explanation

Answer: Option C

Explanation:

Madhav is the only son of one of the sons of Varman's father → Either Varman is the father or

uncle of Madhav.

23. Introducing a woman, Shashank said, "She is the mother of the only daughter of my son."

How that woman is related to Shashank?

A. Daughter B. Sister-in-law

C. Wife D. Daughter-in-law

Answer & Explanation

Answer: Option D

Explanation:

The woman is the mother of Shashank's granddaughter. Hence, the woman is the daughter-inlaw

of Shashank.

24. If A + B means B is the brother of A; A x B means B is the husband of A; A - B means A is the

mother of B and A % B means A is the father of B, which of the following relations shows that

Q is the grandmother of T?

A. Q - P + R % T B. P x Q % R - T

C. P x Q % R + T D. P + Q % R - T

Answer & Explanation

Answer: Option A

Explanation:

Q - P → Q is the mother of P

P + R → R is the brother of P

Hence, → q is the mother of R

R % T → R is the father of T.

Hence, Q is the grandmother of T.

25. 1. A3P means A is the mother of P

2. A4P means A is the brother of P

3. A9P means A is the husband of P

4. A5P means A is the daughter of P

Which of the following means that K is the mother-in-law of M?

A. M9N3K4J B. M9N5K3J

C. K5J9M3N D. K3J9N4M

Answer & Explanation

Answer: Option B

Explanation:

M9N → M is the husband of N

N5K → N is the daughter of K

Hence, → M is the son-in-law of K

K3J → K is the mother of J

Hence, → K is a lady

Hence, → K is the mother-in-law of M.

26. Pointing to a photograph Anjali said, "He is the son of the only son of my grandfather." How is

the man in the photograph related to Anjali?

A. Brother B. Uncle

C. Son D. Data is inadequate

Answer & Explanation

Answer: Option A

Explanation:

The man in the photograph is son of Anjali's grandfather's son i.e., the son of Anjali's father.

Hence, the boy is the brother of Anjali.

27. Pointing to a person, Deepak said, "His only brother is the father of my daughter's father".

How is the person related to Deepak?

A. Father B. Grandfather

C. Uncle D. Brother-in-law

Answer & Explanation

Answer: Option C

Explanation:

Father of Deepak's daughter's father → Deepak's father.

Hence, the person in the brother of Deepak's father.

Therefore, the person is the uncle of Deepak.

28. P is the mother of K; K is the sister of D; D is the father of J. How is P related to J?

A. Mother B. Grandmother

C. Aunt D. Data inadequate

Answer & Explanation

Answer: Option B

Explanation:

P is the mother of K

K is the sister of D

D is the father of J.

Therefore, J is the nephew or niece of K and P is the grandmother of J.

29. If P $ Q means P is the father of Q; P # Q means P is the mother of Q and P * Q means P is

the sister of Q, then N # L $ P * Q shows which of the relation of Q to N?

A. Grand son B. Grand daughter

C. Nephew D. Data is inadequate

Answer & Explanation

Answer: Option D

Explanation:

As the sex of Q is not known, hence, data is inadequate.

30. If A $ B means A is the brother of B; A @ B means A is the wife of B; A # B means A is the

daughter of B and A * B means A is the father of B, which of the following indicates that U is

the father-in-law of P?

A. P @ Q $ T # U * W B. P @ W $ Q * T # U

C. P @ Q $ W * T # U D. P @ Q $ T # W * U

Answer & Explanation

Answer: Option A

Explanation:

P @ Q → P is the wife of Q ...(1)

Q $ T → Q is the brother of T ...(2)

T # U → T is the daughter of U

Hence, → Q is the son of U ...(3)

U * W → U is the father of W.

From (1) and (3), U is the father-in-law of P.

31. Introducing a man, a woman said, "He is the only son of the mother of my mother." How is

the woman related to the man?

A. Mother B. Sister

C. Niece D. Maternal aunt

Answer & Explanation

Answer: Option C

Explanation:

The man is the only son of the mother of the woman. Hence, the man is the maternal uncle of

the woman. So, the woman is the niece of the man.

32. Pointing to Gopi, Nalni says, "I am the daughter of the only son of his grandfather." How Nalni

is related to Gopi?

A. Niece B. Daughter

C. Sister D. Cannot be determined

Answer & Explanation

Answer: Option C

Explanation:

Nalni is the daughter of the only son of Gopi's grandfather. Hence, it's clear that Nalni is the

sister of Gopi.

33. A's son B is married with C whose sister D is married to E the brother of B. How D is related to

A?

A. Sister B. Daughter's-in-law

C. Sister-in-law D. Cousin

Answer & Explanation

Answer: Option B

Explanation:

Since E is the brother of B

Therefore, A is the father of E

but D is the wife of E.

Hence, D is the daughter-in-law of A.

34. Pointing to a lady a person said, "The son of her only brother is the brother of my wife." How

is the lady related to the person?

A. Maternal aunt B. Grandmother

C. Sister of father-in-law D. None of these

Answer & Explanation

Answer: Option C

Explanation:

Brother of person's wife → brother-in-law of the person. Hence, the son of lady's brother is

brother-in-law of the person.

Therefore, the brother of the lady is the father-in-law of the person. Hence, the lady is the

Sister of the person's father-in-law.

35. 1. B5D means B is the father of D.

2. B9D means B is the sister of D.

3. B4D means B is the brother of D.

4. B3D means B is the wife of D.

Which of the following means F is the mother of K?

A. F3M5K B. F5M3K

C. F9M4N3K D. F3M5N3K

Answer & Explanation

Answer: Option A

Explanation:

F3M → F is the wife of M

M5K → M is the father of K

Therefore, F is the mother of K.

36. A $ B means A is the father of B; A # B means A is the sister of B; A * B means A is the

Daughter of B and A @ B means A is the brother of B. Which of the following indicates that M

is the wife of Q?

A. Q $ R # T @ M B. Q $ R @ T # M

C. Q $ R * T # M D. Q $ R @ T * M

Answer & Explanation

Answer: Option D

Explanation:

Q $ R → Q is the father of R

R @ T → R is the brother of T

Hence, → Q is the father of T

T * M → T is the daughter of M

Hence, → M is the mother of T

Hence, M is the wife of Q.

37. If A $ B means A is the brother of B; B * C means B is the son of C; C @ D means C is the

wife of D and A # D means A is the son of D, how C is related to A?

A. Maternal grandmother B. Maternal aunt

C. Aunt D. Mother

Answer & Explanation

Answer: Option D

Explanation:

A $ B → A is the brother of B

B * C → B is the son of C

Hence, → A is the son of C

C @ D → C is the wife of D

Hence, → C is the mother of A.

38. Pointing to a girl Sandeep said, "She is the daughter of the only sister of my father." How is

sandeep related to the girl?

A. Uncle B. Cousin

C. Father D. Grandfather

Answer & Explanation

Answer: Option B

Explanation:

The girl is the daughter of the sister of Sandeep's father. Hence, the girl is the cousin or

Sandeep is the cousin of the girl.

39. Pointing to a boy in the photograph Reena said, "He is the only son of the only child of my

grandfather." How Reena is related to that boy?

A. Mother B. Sister

C. Aunt D. Cannot be determined

Answer & Explanation

Answer: Option B

Explanation:

The boy in the photograph is the only son of Reena's grandfather's only son; i.e., the boy is

the only son of Reena's father.

Hence, the boy is the brother of Reena or Reena is the sister of the boy.

40. 1. A * B means A is the sister of B

2. A $ B means B is the mother of A

3. A + B means A is the brother of B

4. A = B means B is the father of A.

Which of the following means M is the maternal uncle of N?

A. M = P + Q * N B. N + P = Q * M

C. N * P $ Q * M D. None of these

Answer & Explanation

Answer: Option D

Explanation:

No answer description available for this question. Let us discuss.

41. If M x N means M is the daughter of N; M + N means M is the father

of N; M % N means M is the mother of N and M - N means M is the

brother of N then P % Q + R - T x K indicates which relation of P to K?

A. Daughter-in-law B. Sister-in-law

C. Aunt D. None of these

Answer & Explanation

Answer: Option D

Explanation:

P % Q → P is the mother of Q

Q + R → Q is the father of R

R - T → R is the brother of T

Hence, → Q is the father of T

T x K → T is the daughter of K

Hence, → Q is the husband of K.

Therefore, P is the mother-in-law of K.

42. If P + Q means P is the brother of Q; P x Q means P is the father of Q

and P - Q means P is the sister of Q, which of the following relations

shows that I is the niece of K?

A. K + Y + Z - I B. K + Y x I - Z

C. Z - I x Y + K D. K x Y + I - Z

Answer & Explanation

Answer: Option B

Explanation:

K + Y → K is the brother of Y

Y x I → Y is the father of I

Hence, → K is the uncle of I

and I - Z → I is the sister of Z

Hence, → I is the niece of K.

43. Pointing towards a girl, Abhisek says, "This girl is the daughter of only

a child of my father." What is the relation of Abhisek's wife to that

girl?

A. Daughter B. Mother

C. Aunt D. Sister

Answer & Explanation

Answer: Option B

Explanation:

Only the child of my father means 'Abhisek' himself. This means the

girl is the daughter od Abhisek. Hence, Abhisek's wife is the mother of

the girl.

44. If A $ B means B is the father of A; A # B means B is the mother of

A; A * B means B is the sister of A and A @ B means B is the husband

of A, which of the following indicates that N is the grandmother of P?

A. P * Q # M $ N B. P @ Q $ M # N

C. P # Q $ N * M D. None of these

Answer & Explanation

Answer: Option D

Explanation:

No answer description available for this question. Let us discuss.

45. Anupam said to a lady sitting in a car, "The only daughter of the

brother of my wife is the sister-in-law of the brother of your sister."

How the husband of the lady is related to Anupam?

A. Maternal uncle B. Uncle

C. Father D. Son-in-law

Answer & Explanation

Answer: Option D

Explanation:

Anupam's son-in-law is the brother of the lady who was sitting in the

car. Hence, the husband is also the son-in-law of Anupam.

46. If P + Q means P is the brother of Q; P x Q means P is the wife of Q and P % Q means P

is the daughter of Q then which of the following means D is the uncle of A?

A. A % B x C + D B. A x B + C % D

C. A + C % B x D D. None of these

Answer & Explanation

Answer: Option D

Explanation:

No answer description available for this question. Let us discuss.

47. A is the son of C; C and Q are sisters; Z is the mother of Q and P is the son of Z. Which of the

following statements is true?

A. P and A are cousins

B. P is the maternal uncle of A

C. Q is the maternal grandfather of A

D. C and P are sisters

Answer & Explanation

Answer: Option B

Explanation:

C and Q are sisters and A is the son of C. Hence, C is the mother of A or Z is the mother Q.

Hence, Z is the maternal grandmother of A. P is the son of Z. Hence, P is the maternal uncle of

A.

48. M is the father of N who is the son of V. In order to know the relation of M to P, which of the

statement/statements is/are necessary?

1. P is the brother of V.

2. The daughter of N is the granddaughter of V.

A. Only (1) B. Only (2)

C. Either (1) or (2) D. (1) and (2) both

Answer & Explanation

Answer: Option A

Explanation:

M is the father of N and N is the son of V.

Hence, V is the mother of N.

From (1), P is the brother of V

Therefore, M is the brother-in-law of P because V is the wife of M.

From (2), the daughter of N, is the granddaughter of V. From this we do not get any relation

of M to P.

49. Pointing a photograph X said to his friend Y, "She is the only daughter of the

father of my mother." How X is related to the person of photograph?

A. Daughter B. Son

C. Nephew D. Cannot be decided

Answer & Explanation

Answer: Option B

Explanation:

'The only daughter of the father of X's mother' means mother of X.

Hence X is the son of the lady in the photograph.

IBPS:Arithmetic Reasoning Questions and answers

1. A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B
has missed 27 times, A has killed

A. 30 birds
B. 60 birds
C. 72 birds
D. 90 birds


Answer: Option A

2. David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors
per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building
and rides down at the rate of 63 floors per minute. If they continue travelling at these rates,
then at which floor will their paths cross ?

A. 19 B. 28
C. 30 D. 37


Answer: Option C

3. I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If
I keep 5 in a pack, I am left with none. What is the minimum number of sweets I have to pack
and distribute?

A. 25 B. 37
C. 54 D. 65


Answer & Explanation
Answer: Option A
Explanation:
Clearly, the required number would be such that it leaves a remainder of 1 when divided by 2,
3 or 4 and no remainder when divided by 5. Such a number is 25.


4. If a clock takes seven seconds to strike seven, how long will it take to strike ten ?


A. 7 seconds
B. 9 seconds
C. 10 seconds
D. None of these

Answer: Option D


5. In a group of cows and hens, the number of legs are 14 more than twice the number of heads.
The number of cows is


A. 5 B. 7
C. 10 D. 12


Answer & Explanation
Answer: Option B
Explanation:
Let the number of cows be x and the number of hens be y.
Then, 4x + 2y = 2 (x + y) + 14 4x + 2y = 2x + 2y + 14 2x = 14 x = 7.


6. A father tells his son, "I was of your present age when you were born". If the father is 36 now,
how old was the boy five years back ?


A. 13 B. 15
C. 17 D. 20


Answer & Explanation
Answer: Option A
Explanation:
Let the father's age be x and the son's age be y.
Then, x - y = y or x = 2y,
Now, x = 36. So, 2y = 36 or y = 18.
Therefore Son's present age = 18 years.
So, son's age 5 years ago = 13 years.


7. A student got twice as many sums wrong as he got right. If he attempted 48 sums in all, how
many did he solve correctly ?


A. 12 B. 16
C. 18 D. 24


Answer & Explanation
Answer: Option B
Explanation:
Suppose the boy got x sums right and 2x sums wrong.
Then, x + 2x = 48 3x = 48 x = 16.


8. In a class, 3/5 of the students are girls and rest are boys. If 2/9 of the girls and 1/4 of the
boys are absent, what part of the total number of students is present ?


A. 17/25 B. 18/49
C. 23/30 D. 23/36

Answer: Option C

9. In a family, a couple has a son and a daughter. The age of the father is three times that of his
daughter and the age of the son is half of that of his mother. The wife is 9 years younger to
her husband and the brother is seven years older than his sister. What is the age of the
mother?


A. 40 years
B. 45 years
C. 50 years
D. 60 years


Answer & Explanation
Answer: Option D
Explanation:
Let the daughter's age be x years.
Then, father's age = (3x) years.
Mother's age = (3x - 9) years; Son's age = (x + 7) years.
So, x + 7 = (3x-9)/2 2x + 14 = 3x - 9 x = 23.
Therefore Mother's age = (3X - 9) = (69 - 9) years = 60 years.


10. If a 1 mm thick paper is folded so that the area is halved at every fold, then what would be
the thickness of the pile after 50 folds ?


A. 100 km
B. 1000 km
C. 1 million km
D. 1 billion km

Answer & Explanation
Answer: Option D
Explanation:


11. First bunch of bananas has (1/4) again as many bananas as a second bunch. If the second
bunch has 3 bananas less than the first bunch, then the number of bananas in the first bunch
are


A. 9 B. 10
C. 12 D. 15


Answer: Option D


12. Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the
sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not
connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive)
which are not connected with 6 is


A. 18 B. 22
C. 42 D. 43


Answer & Explanation
Answer: Option D
Explanation:
Numbers from 1 to 60, which are divisible by 6 are : 6,12,18, 24, 30, 36,42, 48, 54, 60.
There are 10 such numbers.
Numbers from 1 to 60, the sum of whose digits is 6 are : 6, 15, 24, 33, 42, 51, 60.
There are 7 such numbers of which 4 are common to the above ones. So, there are 3such
uncommon numbers.
Numbers from 1 to 60, which have 6 as one of the digits are 6, 16, 26, 36, 46, 56, 60.
Clearly, there are 4 such uncommon numbers.
So, numbers 'not connected with 6' = 60 - (10 + 3 + 4) = 43.


13. Find the number which when added to itself 13 times, gives 112.


A. 7 B. 8
C. 9 D. 11
Answer & Explanation
Answer: Option B
Explanation:
Let the number be x. Then, x + 13x = 112 14x = 112 x = 8.


14. Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of
the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her,
how heavy was the original cake ?


A. 120 grams
B. 140 grams
C. 240 grams
D. 280 grams
E. None of these


Answer & Explanation
Answer: Option C
Explanation:
The seven pieces consist of 6 smaller equal pieces and one half cake piece.
Weight of each small piece = 20 g.
So, total weight of the cake = [2 x (20 x6)]g= 240 g.


15. A total of 324 coins of 20 paise and 25 paise make a sum of Rs. 71. The number of 25-paise
coins is


A. 120 B. 124
C. 144 D. 200


Answer & Explanation
Answer: Option B
Explanation:
Let the number of 20-paise coins be x. Then, number of 25-paise coins = (324 - x).
Therefore 0.20 x x + 0.25 (324 - x) = 71 20x + 25 (324 - x) = 7100
5x= 1000 x = 200. Hence, number of 25-paise coins = (324 - x) - 124.


16. A player holds 13 cards of four suits, of which seven are black and six are red. There are twice
as many diamonds as spades and twice as many hearts as diamonds. How many clubs does he
hold?


A. 4 B. 5
C. 6 D. 7


Answer & Explanation
Answer: Option C
Explanation:
Clearly, the black cards are either clubs or spades while the red cards are either diamonds or
hearts.
Let the number of spades be x. Then, number of clubs = (7 - x).
Number of diamonds = 2 x number of spades = 2x;
Number of hearts = 2 x number of diamonds = 4x.
Total number of cards = x + 2x + 4x + 7 - x - 6x + 7.
Therefore 6x + 7 = 13 6x = 6 x - 1.
Hence, number of clubs = (7 - x) = 6.


17. The taxi charges in a city comprise of a fixed charge, together with the charge of the distance
covered. For a journey of 16 km, the charges paid are Rs. 156 and for a journey of 24 km, the
charges paid are Rs. 204. What will a person have to pay for travelling a distance of 30 km?


A. Rs. 236
B. Rs. 240
C. Rs. 248
D. Rs. 252


Answer & Explanation
Answer: Option B
Explanation:
Let the fixed charge be Rs. x and variable charge be Rs.y per km. Then,
x + 16y = 156 ...(i) and
x + 24y = 204 ...(ii)
Solving (i) and (ii), we get: x = 60, y = 6.
Therefore Cost of travelling 30 km = 60 + 30 y = Rs. (60 + 30 x 6) = Rs. 240.


18. If every 2 out of 3 readymade shirts need alterations in the sleeves, and every 4 out of 5 need
it in the body, how many alterations will be required for 60 shirts ?

A.    88   B. 123

C. 133 D. 143

Answer: Option C



19. At the end of a business conference the ten people present all shake hands with each other
once. How many handshakes will there be altogether?

A. 20 B. 45
C. 55 D. 90


Answer & Explanation
Answer: Option B
Explanation:
Clearly, total number of handshakes = (9+ 8 + 7 + 6 + 5 + 4 + 3 + 2+1) = 45.


20. After distributing the sweets equally among 25 children, 8 sweets remain. Had the number of
children been 28, 22 sweets would have been left after equal distribution. What was the total
number of sweets?


A. 328
B. 348
C. 358
D. Data inadequate


Answer & Explanation
Answer: Option C
Explanation:
Let the total number of sweets be (25x + 8).
Then, (25x + 8) - 22 is divisible by 28
(25x - 14) is divisible by 28 28x - (3x + 14) is divisible by 28
(3x + 14) is divisible by 28 x = 14.
Therefore Total number of sweets = (25 x 14 + 8) = 358.


21. A group of 1200 persons consisting of captains and soldiers is travelling in a train. For every
15 soldiers there is one captain. The number of captains in the group is


A. 85 B. 80
C. 75 D. 70
Answer & Explanation
Answer: Option C
Explanation:
Clearly, out of every 16 persons, there is one captain. So, number of captains (1200/16) = 75.


22. In a caravan, in addition to 50 hens, there are 45 goats and 8 camels with some keepers. If
the total number of feet be 224 more than the number of heads in the caravan, the number of
keepers is


A. 5 B. 8
C. 10 D. 15


Answer & Explanation
Answer: Option D
Explanation:
Let number of keepers be x. Then,
Total number of feet = 2 x 50 + 4 x 45 + 4 x 8 + 2x = 2x + 312.
Total number of heads = 50 + 45 + 8 + x= 103 + x.
Therefore (2x + 312) = (103 + x) + 224 or x = 15.


23. A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips
back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his
ascent at 8.00 a.m., at what time will he first touch a flag at 120 feet from the ground?


A. 4 p.m.
B. 5 p.m.
C. 6 p.m.
D. None of these


Answer & Explanation
Answer: Option C
Explanation:
Net ascent of the monkey in 1 hour = (30 - 20) feet = 10 feet.
So, the monkey ascends 90 feet in 9 hours i.e. till 5 p.m.
Clearly, in the next 1 hour i.e. till 6 p.m. the monkey ascends remaining 30 feet to touch the
flag.


24. A number consists of two digits whose sum is 11. If 27 is added to the number, then the digits change their places. What is the number?


A. 47 B. 65
C. 83 D. 92


Answer & Explanation
Answer: Option A
Explanation:
Let the ten's digit be x. Then, unit's digit = (11 - x).
So, number = 10x + (11 - x) = 9x + 11.
Therefore (9x + 11) + 27 = 10 (11 - x) + x 9x + 38 = 110 - 9x 18x = 72 x = 4.
Thus, ten's digit = 4 and unit's digit = 7.
Hence, required number = 47.


25. An enterprising businessman earns an income of Re. 1 on the first day of his business. On
every subsequent day, he earns an income which is just double of that made on the previous
day. One the 10th day of business, his income is


A. Rs. 29
B. Rs. 210
C. Rs. 10
D. Rs. 102


Answer & Explanation
Answer: Option A
Explanation:
Income on the first day = Re. 1.
Income on the 2nd day = Rs. (1x2) = Rs. 21.
Income on the 3rd day = Rs. (21 x 2) = Rs. 22 and so on. Thus, Income on the rath day = Rs.
2n-1.
Therefore Income on the 10th day = Rs. 29.


26. Nitin's age was equal to square of some number last year and the following year it would be
cube of a number. If again Nitin's age has to be equal to the cube of some number, then for
how long he will have to wait?


A. 10 years
B. 38 years
C. 39 years
D. 64 years


Answer & Explanation
Answer: Option B
Explanation:
Clearly, we have to first find two numbers whose difference is 2 and of which the smaller one
is a perfect square and the bigger one a perfect cube.
Such numbers are 25 and 27.
Thus, Nitin is now 26 years old. Since the next perfect cube after 27 is 64,
so required time period = (64 - 26) years = 38 years.


27. On Children's Day, sweets were to be equally distributed among 175 children in a school.
Actually on the Children's Day, 35 children were absent and therefore each child got 4 sweets
extra. Total how many sweets were available for distribution ?


A. 2400 B. 2480
C. 2680 D. 2800

Answer: Option D


28. Between two book-ends in your study are displayed your five favourite puzzle books. If you
decide to arrange the five books in every possible combination and moved just one book every
minute, how long would it take you ?


A. 1 hour
B. 2 hours
C. 3 hours
D. 4 hours


Answer & Explanation
Answer: Option B
Explanation:
Clearly, number of ways of arranging 5 books = 5 ! = 5 x 4 x 3 x 2 x 1 = 120.
So, total time taken = 120 minutes = 2 hours.


29. A placed three sheets with two carbons to get two extra copies of the original. Then he
decided to get more carbon copies and folded the paper in such a way that the upper half of
the sheets were on top of the lower half. Then he typed. How many carbon copies did he get?


A. 1 B. 2
C. 3 D. 4


Answer & Explanation
Answer: Option B
Explanation:
Since the number of carbons is 2, only two copies can be obtained.


30. A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many
pages does the book have ?


A. 1000 B. 1074
C. 1075 D. 1080


Answer & Explanation
Answer: Option B
Explanation:
No. of digits in 1-digit page nos. = 1x9 = 9.
No. of digits in 2-digit page nos. = 2 x 90 = 180.
No. of digits in 3-digit page nos. = 3 x 900 = 2700.
No. of digits in 4-digit page nos. = 3189 - (9 + 180 + 2700) = 3189 - 2889 = 300.
Therefore No. of pages with 4-digit page nos. = (300/4) = 75.
Hence, total number of pages = (999 + 75) = 1074.

IBPS:Arithmetic Reasoning Questions and answers

1. The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages
three years ago ?
A. 71 years
B. 72 years
C. 74 years
D. 77 years

 Answer & Explanation
Answer: Option A
Explanation:
Required sum = (80 - 3 x 3) years = (80 - 9) years = 71 years.

2. Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets
from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B
and C from A ?
A. Rs. 4, Rs. 23
B. Rs. 13, Rs. 17
C. Rs. 15, Rs. 14
D. Rs. 17, Rs. 13
Answer & Explanation
Answer: Option B
Explanation:
Let Rs. x be the fare of city B from city A and Rs. y be the fare of city C from city A.
Then, 2x + 3y = 77 ...(i) and
3x + 2y = 73 ...(ii)
Multiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17.
Putting y = 17 in (i), we get: x = 13.

3. An institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same.
What fraction of the total number of students took part in the fete ?


A. 2/13
B. 13/40
C. Data inadequate
D. None of these

Answer & Explanation
Answer: Option C
Explanation:
No answer description available for this question. Let us discuss.


4. A number of friends decided to go on a picnic and planned to spend Rs. 96 on eatables. Four
of them, however, did not turn up. As a consequence, the remaining ones had to contribute
Rs. 4 each extra. The number of those who attended the picnic was

A. 8 B. 12
C. 16 D. 24

Answer & Explanation
Answer: Option A
Explanation:


5. A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have
as many as E has and if I give you three cards, you will have as many as D has." A and B
together have 10 cards more than what D and E together have. If B has two cards more than
what C has and the total number of cards be 133, how many cards does B have ?

A. 22 B. 23
C. 25 D. 35

Answer & Explanation
Answer: Option C
Explanation:
Clearly, we have :
B-3 = E ...(i)
B + 3 = D ...(ii)
A+B = D + E+10 ...(iii)
B = C + 2 ...(iv)
A+B + C + D + E= 133 ...(v)
From (i) and (ii), we have : 2 B = D + E ...(vi)
From (iii) and (vi), we have : A = B + 10 ...(vii)
Using (iv), (vi) and (vii) in (v), we get:
(B + 10) + B + (B - 2) + 2B = 133 5B = 125 B = 25.


6. A pineapple costs Rs. 7 each. A watermelon costs Rs. 5 each. X spends Rs. 38 on these fruits.
The number of pineapples purchased is

A. 2
B. 3
C. 4
D. Data inadequate
Answer & Explanation
Answer: Option C
Explanation:


7. A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of
course, senior to me and the difference between our ages is one-eleventh of their sum." The
woman's age is

A. 23 years
B. 34 years
C. 45 years
D. None of these

Answer & Explanation
Answer: Option C
Explanation:
Let x and y be the ten's and unit's digits respectively of the numeral denoting the woman's
age.
Then, woman's age = (10X + y) years; husband's age = (10y + x) years.
Therefore (10y + x)- (10X + y) = (1/11) (10y + x + 10x + y)
(9y-9x) = (1/11)(11y + 11x) = (x + y) 10x = 8y x = (4/5)y
Clearly, y should be a single-digit multiple of 5, which is 5.
So, x = 4, y = 5.
Hence, woman's age = 10x + y = 45 years.


8. A girl counted in the following way on the fingers of her left hand : She started by calling the
thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5 and then reversed
direction calling the ring finger 6, middle finger 7 and so on. She counted upto 1994. She
ended counting on which finger ?

A. Thumb
B. Index finger
C. Middle finger
D. Ring finger

Answer & Explanation
Answer: Option B
Explanation:
Clearly, while counting, the numbers associated to the thumb will be : 1, 9,17, 25,.....
i.e. numbers of the form (8n + 1).
Since 1994 = 249 x 8 + 2, so 1993 shall correspond to the thumb and 1994 to the index
finger.


9. A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee
notes. The number of notes of each denomination is equal. What is the total number of notes
that he has?

A. 45 B. 60
C. 75 D. 90

Answer & Explanation
Answer: Option D
Explanation:
Let number of notes of each denomination be x.
Then, x + 5x + 10x = 480 16x = 480 x = 30.
Hence, total number of notes = 3x = 90.


10. What is the product of all the numbers in the dial of a telephone ?


A. 1,58,480
B. 1,59,450
C. 1,59,480
D. None of these


Answer & Explanation
Answer: Option D
Explanation:
Since one of the numbers on the dial of a telephone is zero, so the product of all the numbers
on it is 0.

11. A is 3 years older to B and 3 years younger to C, while B and D are twins. How many years
older is C to D?


A. 2 B. 3
C. 6 D. 12

Answer & Explanation
Answer: Option C
Explanation:
Since B and D are twins, so B = D.
Now, A = B + 3 and A = C - 3.
Thus, B + 3 = C - 3 D + 3 = C-3 C - D = 6.

12. The 30 members of a club decided to play a badminton singles tournament. Every time a
member loses a game he is out of the tournament. There are no ties. What is the minimum
number of matches that must be played to determine the winner ?


A. 15
B. 29
C. 61
D. None of these


Answer & Explanation
Answer: Option B
Explanation:
Clearly, every member except one (i.e. the winner) must lose one game to decide the winner.
Thus, minimum number of matches to be played = 30 - 1 = 29.


13. In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two
trees is 2 metres and a distance of one metre is left from all sides of the boundary of the
garden. The length of the garden is


A. 20 m
B. 22 m
C. 24 m
D. 26 m
Answer & Explanation
Answer: Option C

Explanation:
Each row contains 12 plants.
There are 11 gapes between the two corner trees (11 x 2) metres and 1 metre on each side is
left.
Therefore Length = (22 + 2) m = 24 m.


14. 12 year old Manick is three times as old as his brother Rahul. How old will Manick be when heis twice as old as Rahul ?


A. 14 years
B. 16 years
C. 18 years
D. 20 years
Answer & Explanation
Answer: Option B


Explanation:
Manick's present age = 12 years, Rahul's present age = 4 years.
Let Manick be twice as old as Rahul after x years from now.
Then, 12 + x = 2 (4 + x) 12 + x = 8 + 2x x = 4.
Hence, Manick's required age = 12 + x = 16 years.


15. A tailor had a number of shirt pieces to cut from a roll of fabric. He cut each roll of equal
length into 10 pieces. He cut at the rate of 45 cuts a minute. How many rolls would be cut in
24 minutes?

A. 32 rolls
B. 54 rolls
C. 108 rolls
D. 120 rolls
Answer & Explanation
Answer: Option D
Explanation:
Number of cuts made to cut a roll into 10 pieces = 9.
Therefore required number of rolls = (45 x 24)/9 = 120.


16. In a class of 60 students, the number of boys and girls participating in the annual sports is in
the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than
the number of boys not participating in the sports. If the number of boys participating in the
sports is 15, then how many girls are there in the class ?

A. 20
B. 25
C. 30
D. Data inadequate
E. None of these


Answer & Explanation
Answer: Option C
Explanation:
Let the number of boys and girls participating in sports be 3x and 2x respectively.
Then, 3x = 15 or x = 5.
So, number of girls participating in sports = 2x = 10.
Number of students not participating in sports = 60 - (15 + 10) = 35.
Let number of boys not participating in sports be y.
Then, number of girls not participating in sports = (35 -y).
Therefore (35 - y) = y + 5 2y 30 y = 15.
So, number of girls not participating in sports = (35 - 15) = 20.
Hence, total number of girls in the class = (10 + 20) = 30.

17. There are deer and peacocks in a zoo. By counting heads they are 80. The number of their
legs is 200. How many peacocks are there?


A. 20 B. 30
C. 50 D. 60


Answer & Explanation
Answer: Option D
Explanation:
Let x and y be the number of deer and peacocks in the zoo respectively. Then,
x + y = 80 ...(i) and
4x + 2y = 200 or 2x + y = 100 ...(ii)
Solving (i) and (ii), we get) x = 20, y = 60.


18. A man wears socks of two colours - Black and brown. He has altogether 20 black socks and 20
brown socks in a drawer. Supposing he has to take out the socks in the dark, how many must
he take out to be sure that he has a matching pair ?
A. 3
B. 20
C. 39
D. None of these


Answer & Explanation
Answer: Option A
Explanation:
Since there are socks of only two colours, so two out of any three socks must always be of the
same colour.


19. A motorist knows four different routes from Bristol to Birmingham. From Birmingham to
Sheffield he knows three different routes and from Sheffield to Carlisle he knows two different
routes. How many routes does he know from Bristol to Carlisle ?
A. 4 B. 8
C. 12 D. 24
Answer & Explanation
Answer: Option D


Explanation:
Total number of routes from Bristol to Carlisle = (4 x 3 x 2) = 24.

20. If you write down all the numbers from 1 to 100, then how many times do you write 3 ?

A. 11 B. 18
C. 20 D. 21
Answer & Explanation
Answer: Option C
Explanation:
Clearly, from 1 to 100, there are ten numbers with 3 as the unit's digit- 3, 13, 23, 33, 43, 53,
63, 73, 83, 93; and ten numbers with 3 as the ten's digit - 30, 31, 32, 33, 34, 35, 36, 37, 38,
39.
So, required number = 10 + 10 = 20.





21. In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the
boys and the total number of boys is two-thirds of the total number of students in the class,
what is the number of girls in the class ?


A. 6 B. 12
C. 18 D. 24

Answer & Explanation
Answer: Option B

Explanation:
Let the number of boys be x. Then, (3/4)x = 18 or x = 18 x(4/3) = 24.
If total number of students is y, then (2/3) y = 24 or y = 24 x (3/2) = 36.
Therefore Number of girls in the class = (36 - 24) = 12.
22. A father is now three times as old as his son. Five years back, he was four times as old as his
son. The age of the son (in years) is


A. 12 B. 15
C. 18 D. 20


Answer & Explanation
Answer: Option B
Explanation:
Let son's age be x years. Then, father's age = (3x) years.
Five years ago, father's age = (3x - 5) years and son's age = (x - 5) years.
So, 3x - 5 = 4 (x - 5) 3x - 5 = 4x - 20 x = 15.


23. A waiter's salary consists of his salary and tips. During one week his tips were 5/4 of his
salary. What fraction of his income came from tips ?

A. 4/9 B. 5/4
C. 5/8 D. 5/9
Answer & Explanation
Answer: Option D
Explanation:

24. Mac has £ 3 more than Ken, but then Ken wins on the horses and trebles his money, so that
he now has £ 2 more than the original amount of money that the two boys had between them.
How much money did Mac and Ken have between them before Ken's win ?

A. £ 9
B. £ 11
C. £ 13
D. £ 15

Answer & Explanation
Answer: Option C
Explanation:
Let money with Ken = x. Then, money with Mac = x + £ 3.
Now, 3x = (x + x + £ 3) + £ 2 x = £ 5.
Therefore Total money with Mac and Ken = 2x + £ 3 = £ 13.

25. If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice in how many days ?


A. 1 day
B. 4 days
C. 40 days
D. 100 days


Answer & Explanation
Answer: Option D
Explanation:


26. Five bells begin to toll together and toll respectively at intervals of 6, 5, 7, 10 and 12 seconds.
How many times will they toll together in one hour excluding the one at the start ?

A. 7 times
B. 8 times
C. 9 times
D. 11 times
Answer & Explanation
Answer: Option B
Explanation:


L.C.M. of 6, 5, 7, 10 and 12 is 420.
So, the bells will toll together after every 420 seconds i.e. 7 minutes.
Now, 7 x 8 = 56 and 7 x 9 = 63.
Thus, in 1-hour (or 60 minutes), the bells will toll together 8 times, excluding the one at the
start.


27. A bus starts from city X. The number of women in the bus is half of the number of men. In city
Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In
the beginning, how many passengers entered the bus ?

A. 15 B. 30
C. 36 D. 45
Answer & Explanation
Answer: Option D
Explanation:
Originally, let number of women = x. Then, number of men = 2x.
So, in city Y, we have : (2x - 10) = (x + 5) or x - 15.
Therefore Total number of passengers in the beginning = (x + 2x) = 3x = 45.


28. A, B, C, D and E play a game of cards. A says to B, "If you give me 3 cards, you will have as
many as I have at this moment while if D takes 5 cards from you, he will have as many as E
has." A and C together have twice as many cards as E has. B and D together also have the
same number of cards as A and C taken together. If together they have 150 cards, how many
cards has C got ?


A. 28 B. 29
C. 31 D. 35


Answer & Explanation
Answer: Option A


Explanation:
Clearly, we have :
A = B - 3 ...(i)
D + 5 = E ...(ii)
A+C = 2E ...(iii)
B + D = A+C = 2E ...(iv)
A+B + C + D + E=150 ...(v)
From (iii), (iv) and (v), we get: 5E = 150 or E = 30.
Putting E = 30 in (ii), we get: D = 25.
Putting E = 30 and D = 25 in (iv), we get: B = 35.
Putting B = 35 in (i), we get: A = 32.
Putting A = 32 and E = 30 in (iii), we get: C = 28.


29. A farmer built a fence around his square plot. He used 27 fence poles on each side of the
square. How many poles did he need altogether ?

A. 100
B. 104
C. 108
D. None of these


Answer & Explanation
Answer: Option B
Explanation:
Since each pole at the corner of the plot is common to its two sides, so we have :
Total number of poles needed = 27 x 4 - 4 = 108 - 4 = 104.


30. In a city, 40% of the adults are illiterate while 85% of the children are literate. If the ratio of
the adults to that of the children is 2 : 3, then what percent of the population is literate ?


A. 20% B. 25%
C. 50% D. 75%
Answer & Explanation
Answer: Option D
Explanation:


31. A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will
be 31. What are the present ages of B and C ?

A. 9, 46
B. 9, 50
C. 10, 46
D. 10, 50
Answer & Explanation
Answer: Option B
Explanation:
We have : A = 3B ...(i) and
C - 4 = 2 (A - 4) ...(ii)
Also, A + 4 = 31 or A= 31-4 = 27.
Putting A = 27 in (i), we get: B = 9.
Putting A = 27 in (ii), we get C = 50.


32. Today is Varun's birthday. One year, from today he will be twice as old as he was 12 years
ago. How old is Varun today ?

A. 20 years
B. 22 years
C. 25 years
D. 27 years


Answer & Explanation
Answer: Option C
Explanation:
Let Varan's age today = x years.
Then, Varan's age after 1 year = (x + 1) years.
Therefore x + 1 = 2 (x - 12) x + 1 = 2x - 24 x = 25.


33. A bird shooter was askgd how many birds he had in the bag. He replied that there were all
sparrows but six, all pigeons but six, and all ducks but six. How many birds he had in the bag
in all?

A. 9 B. 18
C. 27 D. 36
Answer & Explanation
Answer: Option A
Explanation:
There were all sparrows but six' means that six birds were not sparrows but only pigeons and
ducks.
Similarly, number of sparrows + number of ducks = 6 and number of sparrows + number of
pigeons = 6.
This is possible when there are 3 sparrows, 3 pigeons and 3 ducks i.e. 9 birds in all.
34. Mr. Johnson was to earn £ 300 and a free holiday for seven weeks' work. He worked for only 4
weeks and earned £ 30 and a free holiday. What was the value of the holiday?

A. £ 300
B. £ 330
C. £ 360
D. £ 420


Answer & Explanation
Answer: Option B
Explanation:


35. What is the smallest number of ducks that could swim in this formation - two ducks in front of
a duck, two ducks behind a duck and a duck between two ducks ?

A. 3 B. 5
C. 7 D. 9

Answer & Explanation
Answer: Option A
Explanation:
Clearly, the smallest such number is 3.
Three ducks can be arranged as shown above to satisfy all the three given conditions.


36. Three friends had dinner at a restaurant. When the bill was received, Amita paid 2/3 as much
as Veena paid and Veena paid 1/2 as much as Tanya paid. What faction of the bill did Veena
pay ?

A. 1/3 B. 3/11
C. 12/13 D. 5/8
Answer & Explanation
Answer: Option B
Explanation:


37. In a class, 20% of the members own only two cars each, 40% of the remaining own three cars
each and the remaining members own only one car each. Which of the following statements is
definitely true from the given statements ?

A. Only 20% of the total members own three cars each.
B. 48% of the total members own only one car each.
C. 60% of the total members own at least two cars each.
D. 80% of the total members own at least one car.
E. None of these


Answer & Explanation
Answer: Option B
Explanation:
Let total number of members be 100,
Then, number of members owning only 2 cars = 20.
Number of members owning 3 cars = 40% of 80 = 32.
Number of members owning only 1 car = 100 - (20 + 32) = 48.
Thus, 48% of the total members own one car each.


38. When Rahul was born, his father was 32 years older than his brother and his mother was 25
years older than his sister. If Rahul's brother is 6 years older than him and his mother is 3
years younger than his father, how old was Rahul's sister when he was born ?


A. 7 years
B. 10 years
C. 14 years
D. 19 years
Answer & Explanation
Answer: Option B


Explanation:
When Rahul was born, his brother's age = 6 years; his father's age = (6 + 32) years = 38
years, his mother's age = (38 - 3) years = 35 years; his sister's age = (35 - 25) years = 10
years.


39. A certain number of horses and an equal number of men are going somewhere. Half of the
owners are on their horses' back while the remaining ones are walking along leading their
horses. If the number of legs walking on the ground is 70, how many horses are there ?


A. 10 B. 12
C. 14 D. 16


Answer & Explanation
Answer: Option C
Explanation:
Let number of horses = number of men = x.
Then, number of legs = 4x + 2 x (x/2) = 5x.
So, 5X = 70 or x = 14.


40. Ravi's brother is 3 years senior to him. His father was 28 years of age when his sister was
born while his mother was 26 years of age when he was born. If his sister was 4 years of age
when his brother was born, what were the ages of Ravi's father and mother respectively when
his brother was born?


A. 32 years, 23 years
B. 32 years, 29 years
C. 35 years, 29 years
D. 35 years, 33 years


Answer & Explanation
Answer: Option A
Explanation:
When Ravi's brother was born, let Ravi's father's age = x years and mother's age = y years.
Then, sister's age = (x - 28) years. So, x - 28 = 4 or x = 32.
Ravi's age = (y - 26) years. Age of Ravi's brother = (y - 26 + 3) years = (y - 23) years.
Now, when Ravi's brother was born, his age = 0 i.e. y - 23 = 0 or y = 23.


41. The number of boys in a class is three times the number of girls. Which one of the following
numbers cannot represent the total number of children in the class ?

A. 48 B. 44
C. 42 D. 40
Answer & Explanation
Answer: Option C
Explanation:
Let number of girls = x and number of boys = 3x.
Then, 3x + x = 4x = total number of students.
Thus, to find exact value of x, the total number of students must be divisible by 4.
42. A shepherd had 17 sheep. All but nine died. How many was he left with ?


A. Nil B. 8
C. 9 D. 17


Answer & Explanation
Answer: Option C
Explanation:
'All but nine died' means 'All except nine died' i.e. 9 sheep remained alive.


43. In a family, the father took 1/4 of the cake and he had 3 times as much as each of the other
members had. The total number of family members is


A. 3 B. 7
C. 10 D. 12
Answer: Option C


44. In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many
balls in the green and red boxes combined as there are in the blue box and twice as many in
the blue box as there are in the red box. How many balls are there in the green box ?


A. 18
B. 36
C. 45
D. None of these


Answer & Explanation
Answer: Option D
Explanation:
Let R, G and B represent the number of balls in red, green and blue boxes respectively.
Then, .
R + G + B = 108 ...(i),
G + R = 2B ...(ii)
B = 2R ...(iii)
From (ii) and (iii), we have G + R = 2x 2R = 4R or G = 3R.
Putting G = 3R and B = 2R in (i), we get:
R + 3R + 2R = 108 6R = 108 R = 18.
Therefore Number of balls in green box = G = 3R = (3 x 18) = 54.


45. In a cricket match, five batsmen A, B, C, D and E scored an average of 36 runs. D Scored 5
more than E; E scored 8 fewer than A; B scored as many as D and E combined; and B and C
scored 107 between them. How many runs did E score ?


A. 62 B. 45
C. 28 D. 20


Answer & Explanation
Answer: Option D
Explanation:
Total runs scored = (36 x 5) = 180.
Let the runs scored by E be x.
Then, runs scored by D = x + 5; runs scored by A = x + 8;
runs scored by B = x + x + 5 = 2x + 5;
runs scored by C = (107 - B) = 107 - (2x + 5) = 102 - 2x.
So, total runs = (x + 8) + (2x + 5) + (102 - 2x) + (x + 5) + x = 3x + 120.
Therefore 3x + 120 =180 3X = 60 x = 20.
46. The total number of digits used in numbering the pages of a book having 366 pages is

A. 732 B. 990
C. 1098 D. 1305
Answer & Explanation
Answer: Option B
Explanation:
Total number of digits
= (No. of digits in 1- digit page nos. + No. of digits in 2-digit page nos. + No. of digits in 3-
digit page nos.)
= (1 x 9 + 2 x 90 + 3 x 267) = (9 + 180 + 801) = 990.


47. In a family, each daughter has the same number of brothers as she has sisters and each son
has twice as many sisters as he has brothers. How many sons are there in the family ?

A. 2 B. 3
C. 4 D. 5


Answer & Explanation
Answer: Option B
Explanation:
Let d and s represent the number of daughters and sons respectively.
Then, we have:
d - 1 = s and 2 (s - 1) = d.
Solving these two equations, we get: d - 4, s = 3.
48. At a dinner party every two guests used a bowl of rice between them, every three guests used
a bowl of dal between them and every four used a bowl of meat between them. There were
altogether 65 dishes. How many guests were present at the party ?


A. 60
B. 65
C. 90
D. None of these


Answer & Explanation
Answer: Option A
Explanation:


49. Ayush was born two years after his father's marriage. His mother is five years younger than
his father but 20 years older than Ayush who is 10 years old. At what age did the father get
married?


A. 23 years
B. 25 years
C. 33 years
D. 35 years