CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 17, 26, 42, 67, 103, ?
A. 145
B. 152
C. 139
D. 159
Correct Answer: B
The increments are consecutive squares: 9, 16, 25, 36; next add 7² = 49. So the answer is 152.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the LCM of 11 and 7.
A. 11
B. 78
C. 77
D. 84
Correct Answer: C
LCM = (11 × 7) ÷ HCF(11,7) = 77.
CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 92. What is the absolute difference between the number and the number formed by reversing its digits?
A. 63
B. 54
C. 7
D. 72
Correct Answer: A
Reversed number = 29. Absolute difference = |92 - 29| = 63.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 825x divisible by 9?
A. 4
B. 8
C. 6
D. 3
Correct Answer: D
A number is divisible by 9 when its digit sum is divisible by 9. Thus 8+2+5+x must be a multiple of 9, giving x = 3.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the HCF (GCD) of 32 and 20.
A. 5
B. 8
C. 2
D. 4
Correct Answer: D
The greatest common divisor of 32 and 20 is 4.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 1241 is divided by 23?
A. 0
B. 2
C. 1
D. 22
Correct Answer: D
1241 = 23 × 53 + 22; therefore the remainder is 22.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 38, 57, 80, 107, 138, ?
A. 177
B. 173
C. 204
D. 169
Correct Answer: B
The first differences are [19, 23, 27, 31]; their second difference is constant at 4. Continuing the pattern gives 173.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the units digit of 76^44?
A. 8
B. 2
C. 0
D. 6
Correct Answer: D
Units digits repeat cyclically; applying the cycle for base 76 gives units digit 6.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 35, 53, 75, 101, 131, ?
A. 201
B. 165
C. 167
D. 129
Correct Answer: B
The terms follow 2n² + 3 for consecutive n. For n = 9, the term is 2×9² + 3 = 165.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 9, 13, and 5?
A. 13
B. 590
C. 585
D. 1170
Correct Answer: C
The required number is LCM(9, 13, 5) = 585.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 4 to 235, inclusive, are divisible by 3?
A. 78
B. 76
C. 84
D. 77
Correct Answer: D
Count = ⌊235/3⌋ - ⌊(4-1)/3⌋ = 78 - 1 = 77.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the HCF (GCD) of 105 and 75.
A. 15
B. 7
C. 30
D. 16
Correct Answer: A
The greatest common divisor of 105 and 75 is 15.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 18, 25, 36, 49, 66, ?
A. 102
B. 85
C. 66
D. 87
Correct Answer: B
Successive prime numbers are added: 7, 11, 13, 17, 19. Add 19 next, giving 85.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 23, 23, 27, 27, 31, 31, ?
A. 31
B. 38
C. 39
D. 35
Correct Answer: D
Odd-position terms are 23, 27, 31, ... with difference 4. Hence the next odd-position term is 35.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 2073 so that the result is exactly divisible by 27?
A. 21
B. 20
C. 6
D. 48
Correct Answer: A
The remainder is 21; subtracting the remainder makes the number divisible by 27.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 429x divisible by 9?
A. 8
B. 3
C. 6
D. 4
Correct Answer: B
A number is divisible by 9 when its digit sum is divisible by 9. Thus 4+2+9+x must be a multiple of 9, giving x = 3.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 5 and LCM 105. What is their product?
A. 105
B. 525
C. 110
D. 530
Correct Answer: B
For two positive integers, product = HCF × LCM = 5 × 105 = 525.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 6, 24, 78, 240, 726, ?
A. 2178
B. 2184
C. 2190
D. 2181
Correct Answer: B
Each term is obtained by ×3 + 6. So 726 × 3 + 6 = 2184.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 75, 89, 103, 117, 131, ?
A. 145
B. 159
C. 173
D. 131
Correct Answer: A
The common difference is 14. So the next term is 131 + 14 = 145.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 3 consecutive integers is 30. What is the middle integer?
A. 9
B. 13
C. 11
D. 10
Correct Answer: D
The middle integer equals the average: 30 ÷ 3 = 10.