1. Complete the series: 0, 1, 8, 27, 64, 125, ?
A) 216
B) 343
C) 512
D) 729
2. 5 : 3125 :: 7 : ?
A) 823543
B) 16807
C) 117649
D) 78125
3. Find the missing number: 1, 5, 14, 30, 55, ?
A) 91
B) 85
C) 99
D) 105
4. A person’s current age is such that 7 years ago it was half of what it will be 7 years from now. How old is the person?
A) 14
B) 21
C) 28
D) 35
5. Two pipes A and B fill a tank. A fills in 12 hours, B empties in 18 hours. If both open together, how long to fill the tank?
A) 36 hours
B) 40 hours
C) 45 hours
D) 72 hours
6. Complete the series: 1, 2, 6, 24, 120, ?
A) 360
B) 720
C) 840
D) 960
7. 21 : 7 :: 55 : ?
A) 10
B) 11
C) 15
D) 20
8. If 35% of a number equals 70, what is 60% of that number?
A) 100
B) 120
C) 140
D) 160
9. Find the odd one out: 1, 8, 27, 64, 125, 343
A) 1
B) 8
C) 125
D) 343
10. A train 200 m long crosses a pole in 10 seconds. How long to cross a 1 km platform?
A) 50 seconds
B) 55 seconds
C) 60 seconds
D) 65 seconds
11. 4 : 256 :: 6 : ?
A) 46656
B) 1296
C) 7776
D) 4096
12. X is 5 years older than Y. In 10 years, X will be twice as old as Y was 5 years ago. How old is Y now?
A) 5
B) 10
C) 15
D) 20
13. Complete the series: 3, 7, 15, 31, 63, ?
A) 127
B) 119
C) 125
D) 133
14. What number should replace the ? : 11=121, 12=144, 13=169, 14=196, 15=?
A) 225
B) 256
C) 289
D) 324
15. 125 : 5 :: 343 : ?
A) 7
B) 14
C) 21
D) 49
16. A, B, C, D fill a tank in 20, 30, 40, 60 days. A and B together take 12 days. How long for all four?
A) 5 days
B) 6 days
C) 7 days
D) 8 days
17. Find the missing number: 2, 3, 7, 18, 59, ?
A) 188
B) 192
C) 196
D) 200
18. Starting from 12:00 noon, after 23 hours 30 minutes, what time is it?
A) 11:30 AM
B) 12:30 PM
C) 11:30 PM
D) 12:30 AM
19. 9 : 3 :: 25 : ?
A) 5
B) 10
C) 15
D) 20
20. A 6×6×6 cube is painted and cut into unit cubes. How many have exactly 1 face painted?
A) 216
B) 144
C) 108
D) 96
Answers
1. **A) 216**
2. **C) 117649**
3. **A) 91**
4. **B) 21**
5. **A) 36 hours**
6. **B) 720**
7. **B) 11**
8. **B) 120**
9. **D) 343**
10. **B) 55 seconds**
11. **A) 46656**
12. **B) 10**
13. **A) 127**
14. **A) 225**
15. **A) 7**
16. **A) 5 days**
17. **A) 188**
18. **C) 11:30 PM**
19. **A) 5**
20. **B) 144**