# Solutions

1. 1
From statement A;

Fathers present age = x years

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Vishal’s present age = 2/11 x

From statement C and A

2/11x + 4 = 1/4(x+4)

x/4 – 2x/11 = 3

x = 44years

Vishal Age = 8 years

2. 5

From statement A & C

P/h = sin 60

h = 13cm

P = 13 * sqroot(3)/2

b/h = cos 60

b = 13/2

Area of triangle = 1/3 * 13/2 sqroot(3) * 13/2 = 169/12 sqroot(3) cm^2

3. 3

From statement A & B

Part of vessel filled in 1 hr = 1/8

Part of vessel filled by (pipe + leak) in 1 hour = 1/12

Part of vessel emptied by leak in 1 hour

= 1/12 – 1/8 = -1/24

4. 1

From statement C

M1D1 = M2D2

4 * 15 = 5 * D2

D2 = 12 days

5. 2
From all A, B and C

Total age of 14 students and Principal is

= 15 × 16 = 240 years

Age of Principal = 240 – 14 × 13 = 58 years

6. 3

√5590 / 3√3370 = ?

√1.65/3 = 1.28/3 = 0.429

7. 2

(3525 + 5567 + 9853) ÷ (3132 + 1975 + 2275) × 7 = ?

18945 ÷ 7382 × 7

2.57 × 7 = 17.99 = 18(approx.)

8. 4
√25000 * √3.999 = 4

158 × 2 = 316

9. 1

Suppose the present ages of Karan and Arjun are 4k and 5k respectively.

Then,

(4k + 6)/(5k + 6) = 7/8

Sum of the ages of Karan and Arjun

= 4k + 5k = 9k

= 9 × 2 = 18 years

10. 3

Required Ratio = 10,000*48: 8,000*42: 12,000*36

= 30: 21: 27 = 10: 7: 9