CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 41, 44, ?, 50, 53, 56
A. 50
B. 44
C. 53
D. 47
Correct Answer: D
This is an arithmetic series with common difference 3; the missing term is 47.
CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 24. What is the absolute difference between the number and the number formed by reversing its digits?
A. 2
B. 27
C. 18
D. 9
Correct Answer: C
Reversed number = 42. Absolute difference = |24 - 42| = 18.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 15, 18, and 10?
A. 100
B. 18
C. 90
D. 180
Correct Answer: C
The required number is LCM(15, 18, 10) = 90.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 59, 63, 67, ?, 75, 79
A. 67
B. 71
C. 79
D. 75
Correct Answer: B
This is an arithmetic series with common difference 4; the missing term is 71.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 28, 37, 31, 30, 34, 23, ?
A. 16
B. 34
C. 40
D. 37
Correct Answer: D
Odd-position terms are 28, 31, 34, ... with difference 3. Hence the next odd-position term is 37.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 4090 is divided by 21?
A. 16
B. 18
C. 19
D. 17
Correct Answer: A
4090 = 21 × 194 + 16; therefore the remainder is 16.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 14, 77, 16, 73, 18, 69, ?
A. 20
B. 22
C. 65
D. 18
Correct Answer: A
Odd-position terms are 14, 16, 18, ... with difference 2. Hence the next odd-position term is 20.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 84! ?
A. 18
B. 19
C. 8
D. 20
Correct Answer: B
Trailing zeros = ⌊84/5⌋ + ⌊84/25⌋ + ... = 16 + 3 = 19.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 6, 11, and 9?
A. 396
B. 11
C. 204
D. 198
Correct Answer: D
The required number is LCM(6, 11, 9) = 198.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 4, 8, 16, 28, 44, ?
A. 48
B. 60
C. 64
D. 68
Correct Answer: C
The differences are 4, 8, 12, 16, increasing by 4. The next difference is 20, so the answer is 64.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify 9/8.
A. Irrational
B. Prime number
C. Rational
D. Whole number
Correct Answer: C
9/8 is a ratio of two integers with a non-zero denominator, so it is rational.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be added to 784 so that the result is exactly divisible by 10?
A. 16
B. 7
C. 6
D. 4
Correct Answer: C
784 leaves remainder 4 on division by 10. Add 10 - 4 = 6.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 30, 37, 34, 35, 38, 33, ?
A. 42
B. 31
C. 38
D. 46
Correct Answer: A
Odd-position terms are 30, 34, 38, ... with difference 4. Hence the next odd-position term is 42.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 3, 19, 44, 80, 129, ?
A. 178
B. 201
C. 193
D. 185
Correct Answer: C
The increments are consecutive squares: 16, 25, 36, 49; next add 8² = 64. So the answer is 193.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 19, 30, 29, 28, 39, 26, ?
A. 49
B. 24
C. 59
D. 39
Correct Answer: A
Odd-position terms are 19, 29, 39, ... with difference 10. Hence the next odd-position term is 49.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 25, 41, 66, 102, 151, ?
A. 223
B. 215
C. 207
D. 200
Correct Answer: B
The increments are consecutive squares: 16, 25, 36, 49; next add 8² = 64. So the answer is 215.
CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 28. What is the absolute difference between the number and the number formed by reversing its digits?
A. 6
B. 54
C. 45
D. 63
Correct Answer: B
Reversed number = 82. Absolute difference = |28 - 82| = 54.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 1669 so that the result is exactly divisible by 7?
A. 2
B. 3
C. 10
D. 4
Correct Answer: B
The remainder is 3; subtracting the remainder makes the number divisible by 7.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 18, 26, 36, 48, 62, ?
A. 80
B. 70
C. 76
D. 78
Correct Answer: D
The differences are 8, 10, 12, 14, increasing by 2. The next difference is 16, so the answer is 78.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 292 and 265 leaving the same remainder?
A. 28
B. 26
C. 27
D. 13
Correct Answer: C
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 292-265 = 27; the greatest possible divisor is 27.