CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 21, 24, 27, 30, 33, ?
A. 39
B. 33
C. 42
D. 36
Correct Answer: D
The common difference is 3. So the next term is 33 + 3 = 36.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 12, 61, 20, 63, 28, 65, ?
A. 44
B. 36
C. 28
D. 67
Correct Answer: B
Odd-position terms are 12, 20, 28, ... with difference 8. Hence the next odd-position term is 36.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 1, 17, 42, 78, 127, ?
A. 191
B. 183
C. 176
D. 199
Correct Answer: A
The increments are consecutive squares: 16, 25, 36, 49; next add 8² = 64. So the answer is 191.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 10, 25, 55, 115, 235, ?
A. 475
B. 470
C. 480
D. 473
Correct Answer: A
Each term is obtained by ×2 + 5. So 235 × 2 + 5 = 475.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the LCM of 20 and 11.
A. 242
B. 221
C. 220
D. 20
Correct Answer: C
LCM = (20 × 11) ÷ HCF(20,11) = 220.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 21, 29, 30, 37, 39, 45, ?
A. 48
B. 57
C. 53
D. 39
Correct Answer: A
Odd-position terms are 21, 30, 39, ... with difference 9. Hence the next odd-position term is 48.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 2, 7, 17, 37, 77, ?
A. 154
B. 157
C. 160
D. 155
Correct Answer: B
Each term is obtained by ×2 + 3. So 77 × 2 + 3 = 157.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 4, 23, 27, 50, 77, 127, ?
A. 204
B. 154
C. 231
D. 254
Correct Answer: A
Each term is the sum of the previous two. Therefore 77 + 127 = 204.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 1016 is divided by 13?
A. 2
B. 4
C. 5
D. 3
Correct Answer: A
1016 = 13 × 78 + 2; therefore the remainder is 2.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 509 and 380 leaving the same remainder?
A. 64
B. 130
C. 129
D. 128
Correct Answer: C
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 509-380 = 129; the greatest possible divisor is 129.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 10, 26, 51, 87, 136, ?
A. 208
B. 192
C. 185
D. 200
Correct Answer: D
The increments are consecutive squares: 16, 25, 36, 49; next add 8² = 64. So the answer is 200.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 5, 8, and 13?
A. 520
B. 1040
C. 13
D. 525
Correct Answer: A
The required number is LCM(5, 8, 13) = 520.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 3411 so that the result is exactly divisible by 12?
A. 9
B. 15
C. 2
D. 3
Correct Answer: D
The remainder is 3; subtracting the remainder makes the number divisible by 12.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 448 and 360 leaving the same remainder?
A. 88
B. 87
C. 44
D. 89
Correct Answer: A
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 448-360 = 88; the greatest possible divisor is 88.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 17, 27, 41, 59, 81, ?
A. 109
B. 79
C. 135
D. 107
Correct Answer: D
The terms follow 2n² + 9 for consecutive n. For n = 7, the term is 2×7² + 9 = 107.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 14, 19, 26, 37, 50, ?
A. 80
B. 69
C. 50
D. 67
Correct Answer: D
Successive prime numbers are added: 5, 7, 11, 13, 17. Add 17 next, giving 67.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 530x divisible by 9?
A. 2
B. 4
C. 6
D. 1
Correct Answer: D
A number is divisible by 9 when its digit sum is divisible by 9. Thus 5+3+0+x must be a multiple of 9, giving x = 1.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 28, 29, 33, 42, 58, ?
A. 78
B. 88
C. 74
D. 83
Correct Answer: D
The increments are consecutive squares: 1, 4, 9, 16; next add 5² = 25. So the answer is 83.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 15, 18, 24, 33, 45, ?
A. 63
B. 57
C. 48
D. 60
Correct Answer: D
The differences are 3, 6, 9, 12, increasing by 3. The next difference is 15, so the answer is 60.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 8, 24, 32, 56, 88, 144, ?
A. 264
B. 232
C. 288
D. 176
Correct Answer: B
Each term is the sum of the previous two. Therefore 88 + 144 = 232.