CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 100 to 336, inclusive, are divisible by 6?
A. 56
B. 41
C. 39
D. 40
Correct Answer: D
Count = ⌊336/6⌋ - ⌊(100-1)/6⌋ = 56 - 16 = 40.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 54, 66, 78, 90, 102, ?
A. 114
B. 126
C. 102
D. 138
Correct Answer: A
The common difference is 12. So the next term is 102 + 12 = 114.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 3 consecutive integers is 150. What is the middle integer?
A. 53
B. 51
C. 49
D. 50
Correct Answer: D
The middle integer equals the average: 150 ÷ 3 = 50.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 16, 21, 30, 43, 60, ?
A. 85
B. 77
C. 81
D. 65
Correct Answer: C
The differences are 5, 9, 13, 17, increasing by 4. The next difference is 21, so the answer is 81.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 1, 9, 25, 57, 121, ?
A. 256
B. 249
C. 247
D. 242
Correct Answer: B
Each term is obtained by ×2 + 7. So 121 × 2 + 7 = 249.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 10, 17, and 15?
A. 1020
B. 510
C. 520
D. 17
Correct Answer: B
The required number is LCM(10, 17, 15) = 510.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 16, 22, 28, 34, 40, ?
A. 58
B. 40
C. 46
D. 52
Correct Answer: C
The common difference is 6. So the next term is 40 + 6 = 46.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 1, 6, 16, 36, 76, ?
A. 156
B. 152
C. 160
D. 154
Correct Answer: A
Each term is obtained by ×2 + 4. So 76 × 2 + 4 = 156.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 14, 24, 38, 62, 100, 162, ?
A. 262
B. 200
C. 324
D. 300
Correct Answer: A
Each term is the sum of the previous two. Therefore 100 + 162 = 262.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify 31/21.
A. Whole number
B. Rational
C. Irrational
D. Prime number
Correct Answer: B
31/21 is a ratio of two integers with a non-zero denominator, so it is rational.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 41, 53, ?, 77, 89, 101
A. 53
B. 77
C. 89
D. 65
Correct Answer: D
This is an arithmetic series with common difference 12; the missing term is 65.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 1639 is divided by 24?
A. 7
B. 9
C. 8
D. 10
Correct Answer: A
1639 = 24 × 68 + 7; therefore the remainder is 7.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 4 consecutive integers is 206. What is the smallest integer?
A. 50
B. 54
C. 49
D. 51
Correct Answer: A
Let the integers be n, n+1, ..., n+3. Their sum is 206; solving gives n = 50.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 25, 30, 35, ?, 45, 50
A. 45
B. 35
C. 40
D. 50
Correct Answer: C
This is an arithmetic series with common difference 5; the missing term is 40.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 9, 29, 38, 67, 105, 172, ?
A. 210
B. 315
C. 344
D. 277
Correct Answer: D
Each term is the sum of the previous two. Therefore 105 + 172 = 277.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 23 that is less than 4111?
A. 4071
B. 4095
C. 4117
D. 4094
Correct Answer: D
4111 ÷ 23 has integer quotient 178; 23 × 178 = 4094.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 16, 56, 25, 60, 34, 64, ?
A. 68
B. 43
C. 34
D. 52
Correct Answer: B
Odd-position terms are 16, 25, 34, ... with difference 9. Hence the next odd-position term is 43.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 4 consecutive integers is 234. What is the smallest integer?
A. 56
B. 57
C. 61
D. 58
Correct Answer: B
Let the integers be n, n+1, ..., n+3. Their sum is 234; solving gives n = 57.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the HCF (GCD) of 140 and 220.
A. 10
B. 20
C. 21
D. 40
Correct Answer: B
The greatest common divisor of 140 and 220 is 20.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 2470 so that the result is exactly divisible by 7?
A. 6
B. 1
C. 13
D. 5
Correct Answer: A
The remainder is 6; subtracting the remainder makes the number divisible by 7.