CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 13, 20, 31, 44, 61, ?
A. 61
B. 82
C. 97
D. 80
Correct Answer: D
Successive prime numbers are added: 7, 11, 13, 17, 19. Add 19 next, giving 80.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the units digit of 33^98?
A. 1
B. 3
C. 9
D. 5
Correct Answer: C
Units digits repeat cyclically; applying the cycle for base 33 gives units digit 9.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many positive divisors does 20 have?
A. 8
B. 5
C. 6
D. 7
Correct Answer: C
20 = 2^2 × 5^1. Number of divisors = (2+1)(1+1) = 6.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 15, 31, 56, 92, 141, ?
A. 190
B. 205
C. 213
D. 197
Correct Answer: B
The increments are consecutive squares: 16, 25, 36, 49; next add 8² = 64. So the answer is 205.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 5 consecutive integers is 85. What is the middle integer?
A. 22
B. 18
C. 16
D. 17
Correct Answer: D
The middle integer equals the average: 85 ÷ 5 = 17.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 1, 5, 17, 53, 161, ?
A. 482
B. 485
C. 487
D. 483
Correct Answer: B
Each term is obtained by ×3 + 2. So 161 × 3 + 2 = 485.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 1508 so that the result is exactly divisible by 23?
A. 36
B. 12
C. 10
D. 13
Correct Answer: D
The remainder is 13; subtracting the remainder makes the number divisible by 23.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 1, 4, 16, 64, 256, ?
A. 260
B. 1024
C. 1028
D. 256
Correct Answer: B
Each term is multiplied by 4. Therefore 256 × 4 = 1024.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 21, 27, 33, 39, 45, ?
A. 57
B. 45
C. 51
D. 63
Correct Answer: C
The common difference is 6. So the next term is 45 + 6 = 51.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 6, 9, 14, 21, 30, ?
A. 41
B. 42
C. 53
D. 29
Correct Answer: A
The terms follow 1n² + 5 for consecutive n. For n = 6, the term is 1×6² + 5 = 41.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the LCM of 29 and 29.
A. 58
B. 31
C. 841
D. 29
Correct Answer: D
LCM = (29 × 29) ÷ HCF(29,29) = 29.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 22, 38, 58, 82, 110, ?
A. 170
B. 146
C. 142
D. 138
Correct Answer: C
The first differences are [16, 20, 24, 28]; their second difference is constant at 4. Continuing the pattern gives 142.
CSS - PMS - CCE - PCS - Mathematics
Number System
How is the integer 72 classified?
A. Prime
B. Neither prime nor composite
C. Irrational
D. Composite
Correct Answer: D
72 = 6 × 12, so it has factors other than 1 and itself and is composite.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 22, 29, 40, 53, 70, ?
A. 91
B. 106
C. 70
D. 89
Correct Answer: D
Successive prime numbers are added: 7, 11, 13, 17, 19. Add 19 next, giving 89.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 433 and 366 leaving the same remainder?
A. 33
B. 67
C. 68
D. 66
Correct Answer: B
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 433-366 = 67; the greatest possible divisor is 67.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 926x divisible by 9?
A. 6
B. 2
C. 1
D. 4
Correct Answer: C
A number is divisible by 9 when its digit sum is divisible by 9. Thus 9+2+6+x must be a multiple of 9, giving x = 1.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many positive divisors does 10 have?
A. 6
B. 3
C. 5
D. 4
Correct Answer: D
10 = 2^1 × 5^1. Number of divisors = (1+1)(1+1) = 4.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 1055 so that the result is exactly divisible by 6?
A. 5
B. 4
C. 11
D. 1
Correct Answer: A
The remainder is 5; subtracting the remainder makes the number divisible by 6.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 4, 6, 9, 14, 21, ?
A. 32
B. 39
C. 34
D. 21
Correct Answer: A
Successive prime numbers are added: 2, 3, 5, 7, 11. Add 11 next, giving 32.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 15 and LCM 495. What is their product?
A. 510
B. 495
C. 7425
D. 7440
Correct Answer: C
For two positive integers, product = HCF × LCM = 15 × 495 = 7425.