CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 33, 40, 51, 64, 81, ?
A. 102
B. 100
C. 81
D. 117
Correct Answer: B
Successive prime numbers are added: 7, 11, 13, 17, 19. Add 19 next, giving 100.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 465x divisible by 9?
A. 3
B. 4
C. 8
D. 6
Correct Answer: A
A number is divisible by 9 when its digit sum is divisible by 9. Thus 4+6+5+x must be a multiple of 9, giving x = 3.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 36, 41, 48, 59, 72, ?
A. 91
B. 89
C. 72
D. 102
Correct Answer: B
Successive prime numbers are added: 5, 7, 11, 13, 17. Add 17 next, giving 89.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 96 to 365, inclusive, are divisible by 7?
A. 39
B. 40
C. 38
D. 52
Correct Answer: A
Count = ⌊365/7⌋ - ⌊(96-1)/7⌋ = 52 - 13 = 39.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 284 and 150 leaving the same remainder?
A. 135
B. 67
C. 133
D. 134
Correct Answer: D
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 284-150 = 134; the greatest possible divisor is 134.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 3216 so that the result is exactly divisible by 20?
A. 4
B. 15
C. 16
D. 36
Correct Answer: C
The remainder is 16; subtracting the remainder makes the number divisible by 20.
CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 70. What is the absolute difference between the number and the number formed by reversing its digits?
A. 63
B. 7
C. 72
D. 54
Correct Answer: A
Reversed number = 7. Absolute difference = |70 - 7| = 63.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 21, 29, 39, 51, 65, ?
A. 79
B. 73
C. 81
D. 83
Correct Answer: C
The differences are 8, 10, 12, 14, increasing by 2. The next difference is 16, so the answer is 81.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 39, 60, 85, 114, 147, ?
A. 180
B. 188
C. 184
D. 217
Correct Answer: C
The first differences are [21, 25, 29, 33]; their second difference is constant at 4. Continuing the pattern gives 184.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 75, 78, 81, 84, 87, ?
A. 90
B. 87
C. 96
D. 93
Correct Answer: A
The common difference is 3. So the next term is 87 + 3 = 90.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 7, 21, 63, 189, 567, ?
A. 1704
B. 570
C. 1701
D. 567
Correct Answer: C
Each term is multiplied by 3. Therefore 567 × 3 = 1701.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 33, 41, 49, 57, ?, 73
A. 57
B. 65
C. 81
D. 73
Correct Answer: B
This is an arithmetic series with common difference 8; the missing term is 65.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 12, 23, 40, 63, 92, ?
A. 121
B. 127
C. 133
D. 156
Correct Answer: B
The first differences are [11, 17, 23, 29]; their second difference is constant at 6. Continuing the pattern gives 127.
CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 73. What is the absolute difference between the number and the number formed by reversing its digits?
A. 4
B. 27
C. 45
D. 36
Correct Answer: D
Reversed number = 37. Absolute difference = |73 - 37| = 36.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 25 to 238, inclusive, are divisible by 15?
A. 13
B. 15
C. 14
D. 16
Correct Answer: C
Count = ⌊238/15⌋ - ⌊(25-1)/15⌋ = 15 - 1 = 14.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 4, 5, and 12?
A. 12
B. 120
C. 60
D. 64
Correct Answer: C
The required number is LCM(4, 5, 12) = 60.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 329 and 286 leaving the same remainder?
A. 42
B. 21
C. 43
D. 44
Correct Answer: C
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 329-286 = 43; the greatest possible divisor is 43.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the HCF (GCD) of 88 and 64.
A. 8
B. 9
C. 4
D. 16
Correct Answer: A
The greatest common divisor of 88 and 64 is 8.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 30, 44, 36, 50, 42, 56, ?
A. 34
B. 56
C. 48
D. 70
Correct Answer: C
The operations alternate +14, -8. After the last +14, subtract 8: 56 - 8 = 48.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 1, 3, 9, 27, 81, ?
A. 81
B. 246
C. 84
D. 243
Correct Answer: D
Each term is multiplied by 3. Therefore 81 × 3 = 243.