CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 17 that is less than 3192?
A. 3180
B. 3196
C. 3179
D. 3162
Correct Answer: C
3192 ÷ 17 has integer quotient 187; 17 × 187 = 3179.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 141x divisible by 9?
A. 8
B. 4
C. 3
D. 6
Correct Answer: C
A number is divisible by 9 when its digit sum is divisible by 9. Thus 1+4+1+x must be a multiple of 9, giving x = 3.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 3, 10, 31, 94, 283, ?
A. 851
B. 849
C. 847
D. 850
Correct Answer: D
Each term is obtained by ×3 + 1. So 283 × 3 + 1 = 850.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 8 and LCM 616. What is their product?
A. 4936
B. 624
C. 4928
D. 616
Correct Answer: C
For two positive integers, product = HCF × LCM = 8 × 616 = 4928.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 21, 22, 24, 27, 31, ?
A. 37
B. 36
C. 35
D. 32
Correct Answer: B
The differences are 1, 2, 3, 4, increasing by 1. The next difference is 5, so the answer is 36.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 30, 44, 60, 78, 98, ?
A. 120
B. 118
C. 122
D. 140
Correct Answer: A
The first differences are [14, 16, 18, 20]; their second difference is constant at 2. Continuing the pattern gives 120.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 5, 10, 17, 28, 41, ?
A. 60
B. 58
C. 41
D. 71
Correct Answer: B
Successive prime numbers are added: 5, 7, 11, 13, 17. Add 17 next, giving 58.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 26, 33, 44, 57, 74, ?
A. 110
B. 74
C. 95
D. 93
Correct Answer: D
Successive prime numbers are added: 7, 11, 13, 17, 19. Add 19 next, giving 93.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 17 that is less than 1965?
A. 1938
B. 1972
C. 1956
D. 1955
Correct Answer: D
1965 ÷ 17 has integer quotient 115; 17 × 115 = 1955.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be added to 709 so that the result is exactly divisible by 14?
A. 5
B. 19
C. 6
D. 9
Correct Answer: A
709 leaves remainder 9 on division by 14. Add 14 - 9 = 5.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify 6/18.
A. Rational
B. Whole number
C. Irrational
D. Prime number
Correct Answer: A
6/18 is a ratio of two integers with a non-zero denominator, so it is rational.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 35, 40, 47, 58, 71, ?
A. 101
B. 71
C. 88
D. 90
Correct Answer: C
Successive prime numbers are added: 5, 7, 11, 13, 17. Add 17 next, giving 88.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 67, 74, 81, 88, 95, ?
A. 95
B. 102
C. 109
D. 116
Correct Answer: B
The common difference is 7. So the next term is 95 + 7 = 102.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 81, 93, 88, 100, 95, 107, ?
A. 107
B. 90
C. 119
D. 102
Correct Answer: D
The operations alternate +12, -5. After the last +12, subtract 5: 107 - 5 = 102.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 1, 5, 14, 30, 55, ?
A. 91
B. 85
C. 80
D. 97
Correct Answer: A
The increments are consecutive squares: 4, 9, 16, 25; next add 6² = 36. So the answer is 91.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 64, 71, 78, 85, 92, ?
A. 113
B. 92
C. 106
D. 99
Correct Answer: D
The common difference is 7. So the next term is 92 + 7 = 99.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 27, 41, 32, 45, 37, 49, ?
A. 53
B. 37
C. 42
D. 47
Correct Answer: C
Odd-position terms are 27, 32, 37, ... with difference 5. Hence the next odd-position term is 42.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 17, 4, and 6?
A. 204
B. 17
C. 208
D. 408
Correct Answer: A
The required number is LCM(17, 4, 6) = 204.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 28, 45, 66, 91, 120, ?
A. 153
B. 149
C. 182
D. 157
Correct Answer: A
The first differences are [17, 21, 25, 29]; their second difference is constant at 4. Continuing the pattern gives 153.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 24, 72, 28, 79, 32, 86, ?
A. 40
B. 32
C. 36
D. 93
Correct Answer: C
Odd-position terms are 24, 28, 32, ... with difference 4. Hence the next odd-position term is 36.