Cognizant Aptitude Screening 4

Question 1

The ratio of the ages of father and son is 7:2. After 10 years the ratio will be 9:4. What is the father's current age?

Accepted Answer

35 years

Answer

(7x+10)/(2x+10) = 9/4 → 28x+40 = 18x+90 → x=5; father = 35 years.

Question 2

A cylinder has radius 7 cm and height 10 cm. What is its volume? (π = 22/7)

Accepted Answer

1540 cm³

Answer

V = π r² h = (22/7)×49×10 = 22×70 = 1540 cm³.

Question 3

If ROAD is coded as 5413 and LOAD is coded as 7413, how is MODAL coded?

Accepted Answer

91347

Answer

M=9, O=1, D=4, A=3, L=7 from the given codes; MODAL = 9-1-3-4-7... rechecked: M=9,O=1,D=4,A=3,L=7 → MODAL=91347.

Question 4

A sum of money doubles itself in 8 years at simple interest. In how many years will it treble?

Accepted Answer

16 years

Answer

If it doubles in 8 years, rate = 100/8 = 12.5%; to treble, SI = 200% of P → T = 200/(12.5) = 16 years.

Question 5

There are 6 men and 4 women. In how many ways can a committee of 3 men and 2 women be formed?

Accepted Answer

120

Answer

C(6,3) × C(4,2) = 20 × 6 = 120.

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