50+ Logical Deduction Questions and Answers Pdf - 2

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Question: 6

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) 13

(D) 18

View Answer

Ans: C

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.

Question: 7

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) 70

(B) 75

(D) 85

View Answer

Ans: B

Clearly, out of every 16 person, there is one captain.

So, number of captains = 1200 ÷ 16 = 75.

Question: 8

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) 10

(B) 20

(D) 60

View Answer

Ans: B

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.

∴ 3x + 120 = 180

3x = 60

∴ x = 20.

Question: 9

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 in the blue box and twice as many in the blue box as there in the red box. How many balls are there in the green box?

(A) 18

(B) 36

(D) 54

View Answer

Ans: D

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 = 2 x 2R = 4R or G = 3R.

Putting G = 3R and B = 2R in (i), we get :

R + 3R + 2R = 108

⇔ 6R = 108

⇔ R = 18.

∴ Number of balls in green box = G = 3R = (3 x18) = 54.

Question: 10

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, 20 years

(B) 32 years, 23 years

(D) 35 years, 29 years

View Answer

Ans: B

When Ravi's brother was born, let Ravi's father 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.

50+ Logical Deduction Questions and Answers Pdf - 2

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