CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 13, 54, 15, 51, 17, 48, ?
A. 19
B. 45
C. 17
D. 21
Correct Answer: A
Odd-position terms are 13, 15, 17, ... with difference 2. Hence the next odd-position term is 19.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 50 is divided by 4?
A. 1
B. 2
C. 0
D. 3
Correct Answer: B
50 = 4 × 12 + 2; therefore the remainder is 2.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 18, 22, 31, 47, 72, ?
A. 102
B. 114
C. 97
D. 108
Correct Answer: D
The increments are consecutive squares: 4, 9, 16, 25; next add 6² = 36. So the answer is 108.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be added to 1612 so that the result is exactly divisible by 12?
A. 9
B. 20
C. 8
D. 4
Correct Answer: C
1612 leaves remainder 4 on division by 12. Add 12 - 4 = 8.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the HCF (GCD) of 154 and 140.
A. 15
B. 14
C. 28
D. 7
Correct Answer: B
The greatest common divisor of 154 and 140 is 14.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the units digit of 54^55?
A. 8
B. 6
C. 0
D. 4
Correct Answer: D
Units digits repeat cyclically; applying the cycle for base 54 gives units digit 4.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 4, 7, 12, 19, 28, ?
A. 27
B. 39
C. 40
D. 51
Correct Answer: B
The terms follow 1n² + 3 for consecutive n. For n = 6, the term is 1×6² + 3 = 39.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 16, 24, 32, 40, ?, 56
A. 40
B. 48
C. 56
D. 64
Correct Answer: B
This is an arithmetic series with common difference 8; the missing term is 48.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 80, 89, 98, ?, 116, 125
A. 116
B. 98
C. 125
D. 107
Correct Answer: D
This is an arithmetic series with common difference 9; the missing term is 107.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 26, 34, 43, 53, 64, ?
A. 75
B. 76
C. 72
D. 77
Correct Answer: B
The differences are 8, 9, 10, 11, increasing by 1. The next difference is 12, so the answer is 76.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 1376 is divided by 11?
A. 1
B. 3
C. 4
D. 2
Correct Answer: A
1376 = 11 × 125 + 1; therefore the remainder is 1.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 65 to 374, inclusive, are divisible by 13?
A. 24
B. 28
C. 25
D. 23
Correct Answer: A
Count = ⌊374/13⌋ - ⌊(65-1)/13⌋ = 28 - 4 = 24.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 22, 23, 26, 31, 38, ?
A. 47
B. 39
C. 45
D. 49
Correct Answer: A
The differences are 1, 3, 5, 7, increasing by 2. The next difference is 9, so the answer is 47.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 57, 66, ?, 84, 93, 102
A. 75
B. 66
C. 84
D. 93
Correct Answer: A
This is an arithmetic series with common difference 9; the missing term is 75.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 14 that is less than 1919?
A. 1918
B. 1932
C. 1904
D. 1919
Correct Answer: A
1919 ÷ 14 has integer quotient 137; 14 × 137 = 1918.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 3, 9, 16, 24, 33, ?
A. 44
B. 42
C. 39
D. 43
Correct Answer: D
The differences are 6, 7, 8, 9, increasing by 1. The next difference is 10, so the answer is 43.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 10, 5, and 13?
A. 135
B. 260
C. 13
D. 130
Correct Answer: D
The required number is LCM(10, 5, 13) = 130.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the units digit of 39^89?
A. 1
B. 5
C. 9
D. 3
Correct Answer: C
Units digits repeat cyclically; applying the cycle for base 39 gives units digit 9.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be added to 1990 so that the result is exactly divisible by 16?
A. 10
B. 26
C. 11
D. 6
Correct Answer: A
1990 leaves remainder 6 on division by 16. Add 16 - 6 = 10.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 6, 30, 150, 750, 3750, ?
A. 18750
B. 3750
C. 3755
D. 18755
Correct Answer: A
Each term is multiplied by 5. Therefore 3750 × 5 = 18750.