50+ Logical Deduction Questions and Answers Pdf - 1

Question: 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) 70 years

(B) 71 years

(C) 72 years

(D) 74 years

Ans: B

Required sum = (80 - 3 x 3) years = (80 - 9) years = 71 years.

Question: 2

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

(A) 5

(B) 7

(C) 9

(D) 2

Ans: B

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.

Question: 3

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 in a minute. How many rolls would be cut in 24 minutes?

(A) 120 rolls

(B) 108 rolls

(C) 54 rolls

(D) 32 rolls

Ans: A

Number of cuts made to cut a roll into 10 pieces = 9.

Required number of rolls = $${45 × 24} / {9}$$ = 120.

Question: 4

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) 5

(D) 6

Ans: D

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.

Question: 5

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) 35

Ans: C

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.

Let number of boys 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).

´ (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.

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