CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 94, 108, 106, 120, 118, 132, ?
A. 132
B. 130
C. 146
D. 116
Correct Answer: B
The operations alternate +14, -2. After the last +14, subtract 2: 132 - 2 = 130.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 7, 22, 67, 202, 607, ?
A. 1822
B. 1823
C. 1819
D. 1821
Correct Answer: A
Each term is obtained by ×3 + 1. So 607 × 3 + 1 = 1822.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 662 and 596 leaving the same remainder?
A. 33
B. 65
C. 67
D. 66
Correct Answer: D
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 662-596 = 66; the greatest possible divisor is 66.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify √30.
A. Whole number
B. Irrational
C. Rational
D. Prime number
Correct Answer: B
30 is not a perfect square, so √30 is irrational.
CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 35. What is the absolute difference between the number and the number formed by reversing its digits?
A. 27
B. 2
C. 9
D. 18
Correct Answer: D
Reversed number = 53. Absolute difference = |35 - 53| = 18.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 25 that is less than 4314?
A. 4300
B. 4301
C. 4325
D. 4275
Correct Answer: A
4314 ÷ 25 has integer quotient 172; 25 × 172 = 4300.
CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 62. What is the absolute difference between the number and the number formed by reversing its digits?
A. 27
B. 4
C. 45
D. 36
Correct Answer: D
Reversed number = 26. Absolute difference = |62 - 26| = 36.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 620x divisible by 9?
A. 2
B. 1
C. 6
D. 4
Correct Answer: B
A number is divisible by 9 when its digit sum is divisible by 9. Thus 6+2+0+x must be a multiple of 9, giving x = 1.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 20, 28, 40, 56, 76, ?
A. 84
B. 104
C. 100
D. 96
Correct Answer: C
The differences are 8, 12, 16, 20, increasing by 4. The next difference is 24, so the answer is 100.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 4 consecutive integers is 86. What is the smallest integer?
A. 24
B. 21
C. 19
D. 20
Correct Answer: D
Let the integers be n, n+1, ..., n+3. Their sum is 86; solving gives n = 20.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 6, 13, 32, 69, ?
A. 135
B. 125
C. 130
D. 55
Correct Answer: C
Each term is n³ + 5. Thus the next term is 5³ + 5 = 130.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 17, 22, 27, 32, 37, ?
A. 52
B. 47
C. 42
D. 37
Correct Answer: C
The common difference is 5. So the next term is 37 + 5 = 42.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 332 and 223 leaving the same remainder?
A. 110
B. 54
C. 109
D. 108
Correct Answer: C
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 332-223 = 109; the greatest possible divisor is 109.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 39, 44, 51, 62, 75, ?
A. 75
B. 92
C. 94
D. 105
Correct Answer: B
Successive prime numbers are added: 5, 7, 11, 13, 17. Add 17 next, giving 92.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 7, 15, 22, 37, 59, 96, ?
A. 192
B. 118
C. 155
D. 177
Correct Answer: C
Each term is the sum of the previous two. Therefore 59 + 96 = 155.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 1, 2, 6, 24, 120, ?
A. 720
B. 120
C. 600
D. 726
Correct Answer: A
The multipliers are ×2, ×3, ×4, ×5; the next multiplier is ×6. Thus 120 × 6 = 720.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the HCF (GCD) of 144 and 128.
A. 32
B. 8
C. 16
D. 17
Correct Answer: C
The greatest common divisor of 144 and 128 is 16.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 15 that is less than 3489?
A. 3481
B. 3465
C. 3495
D. 3480
Correct Answer: D
3489 ÷ 15 has integer quotient 232; 15 × 232 = 3480.
CSS - PMS - CCE - PCS - Mathematics
Number System
How is the integer 28 classified?
A. Neither prime nor composite
B. Composite
C. Irrational
D. Prime
Correct Answer: B
28 = 14 × 2, so it has factors other than 1 and itself and is composite.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be added to 1696 so that the result is exactly divisible by 25?
A. 4
B. 5
C. 21
D. 29
Correct Answer: A
1696 leaves remainder 21 on division by 25. Add 25 - 21 = 4.