Q1. A father’s age is four times as much as the sum of the ages of his three children but 6 years hence his age will be only double the sum of their ages. Then the age of the father is (in years)
50
60
65
55
70
Solution:
Let age of 3 children = x
Age of father = 4x
According to question,
4x+6=2(x+6×3) ⇒ x=15
∴ Father’s age
= 4 × 15
= 60 years.

Q2. Two years ago, A was four times as old as B. 8 years hence, A’s age will exceed B’s age by 12 years. The ratio of the present ages of A to B is
5:3
3:2
2:1
3:1
1:3
Solution:

Q3. Everybody in a room shakes hands with every else. If total number of hand-shaken is 66, then number of persons in the room is
11
12
13
14
16
Solution:

Q4. If the radius of a semicircle is increased by 20%, what will be increment in its area?
20%
40%
44%
50%
45%
Solution:

Q5. If the price of a commodity is increased by 18% then by how much percent one should decrease his consumption in order to keep expenditure same as previous?
900/59%
800/59%
700/59%
600/49%
100/9%
Solution:

Directions (6-10): What approximate value should come in place of the question mark (?) in the following questions? (You are not expected to calculate the exact value.)

Q6. √9026 × (5.96)²=?
3050
3780
2340
3420
3950
Solution:
? = √9026 × (5.96)²
≃ 95 × 6²
? ≃ 3420

Q7. 4734.96 - 3454.03 - 1612.86 = ? - 1611.43
1280
2290
1020
18150
1040
Solution:
4734.96 – 3454.03 – 1612.86 =? – 1611.43
⇒ ? ≃ 4735 – 3454 – 1613 + 1611
? ≃ 1279
? ≃ 1280

Q8.
27
9
4
16
21
Solution:

Q9. 133.008 × 2.97 - 111.87 + 74.13 = ?
311
234
360
290
399
Solution:
? ≃ 133 × 3 – 112 + 74
≃ 399 - 38 ?
≃ 361
The nearest value to 361 in the options is 360

Q10. 32.1 × 2799 ÷ 549 + 120 = ?
220
280
375
505
190
Solution:

Directions (11-15): What will come in place of question mark (?) in the following no. series?

Q11. 3, 5, 8, 12, 17, ?, 30
25
27
22
24
23
Solution:

Q12. 1, 8, 27, 64, ?, 216, 343
145
160
125
180
140
Solution:
Pattern is
1³, 2³, 3³, 4³, 5³, 6³
∴ ? = 125

Q13. 18, 21, 16, 23, 14, ?
25
8
14
10
12
Solution:

Q14. 0.4, 2.4, ?, 27.4, 114.6, 579
6.4
4.2
8.3
7.8
6.8
Solution:
The pattern is
×1+2, ×2+3, ×3+4, ×4+5, ×5+6 ………
∴ ? = 2.4×2+3 = 7.8

Q15. 4.5, 7, 18, ?, 335, 2004
76
64
72
63
68
Solution:
Pattern is
×2 – 2, ×3 – 3, ×4 – 4, ……..
∴ ? = 18 × 4 – 4 = 68