CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 12, 40, 124, 376, 1132, ?
A. 3396
B. 3397
C. 3404
D. 3400
Correct Answer: D
Each term is obtained by ×3 + 4. So 1132 × 3 + 4 = 3400.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 3570 is divided by 22?
A. 6
B. 8
C. 9
D. 7
Correct Answer: A
3570 = 22 × 162 + 6; therefore the remainder is 6.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 4, 20, 45, 81, 130, ?
A. 202
B. 186
C. 179
D. 194
Correct Answer: D
The increments are consecutive squares: 16, 25, 36, 49; next add 8² = 64. So the answer is 194.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 4 consecutive integers is 46. What is the smallest integer?
A. 14
B. 10
C. 11
D. 9
Correct Answer: B
Let the integers be n, n+1, ..., n+3. Their sum is 46; solving gives n = 10.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 141! ?
A. 14
B. 34
C. 35
D. 33
Correct Answer: B
Trailing zeros = ⌊141/5⌋ + ⌊141/25⌋ + ... = 28 + 5 + 1 = 34.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 9, 14, 19, 24, ?, 34
A. 24
B. 39
C. 29
D. 34
Correct Answer: C
This is an arithmetic series with common difference 5; the missing term is 29.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be added to 510 so that the result is exactly divisible by 14?
A. 9
B. 6
C. 8
D. 22
Correct Answer: C
510 leaves remainder 6 on division by 14. Add 14 - 6 = 8.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be added to 266 so that the result is exactly divisible by 12?
A. 22
B. 11
C. 10
D. 2
Correct Answer: C
266 leaves remainder 2 on division by 12. Add 12 - 2 = 10.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 3 consecutive integers is 204. What is the middle integer?
A. 68
B. 71
C. 67
D. 69
Correct Answer: A
The middle integer equals the average: 204 ÷ 3 = 68.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 42, 55, 49, 62, 56, 69, ?
A. 69
B. 82
C. 63
D. 50
Correct Answer: C
The operations alternate +13, -6. After the last +13, subtract 6: 69 - 6 = 63.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 3, 7, 15, 31, 63, ?
A. 128
B. 125
C. 126
D. 127
Correct Answer: D
Each term is obtained by ×2 + 1. So 63 × 2 + 1 = 127.
CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 82. What is the absolute difference between the number and the number formed by reversing its digits?
A. 63
B. 6
C. 54
D. 45
Correct Answer: C
Reversed number = 28. Absolute difference = |82 - 28| = 54.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 14, 61, 16, 66, 18, 71, ?
A. 20
B. 76
C. 18
D. 22
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
What least number must be subtracted from 2585 so that the result is exactly divisible by 8?
A. 1
B. 9
C. 7
D. 2
Correct Answer: A
The remainder is 1; subtracting the remainder makes the number divisible by 8.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 27, 28, 32, 41, 57, ?
A. 77
B. 87
C. 73
D. 82
Correct Answer: D
The increments are consecutive squares: 1, 4, 9, 16; next add 5² = 25. So the answer is 82.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 19, 26, 33, 40, ?, 54
A. 47
B. 54
C. 40
D. 61
Correct Answer: A
This is an arithmetic series with common difference 7; the missing term is 47.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 34 that is less than 4269?
A. 4251
B. 4250
C. 4216
D. 4284
Correct Answer: B
4269 ÷ 34 has integer quotient 125; 34 × 125 = 4250.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the units digit of 67^69?
A. 9
B. 7
C. 3
D. 1
Correct Answer: B
Units digits repeat cyclically; applying the cycle for base 67 gives units digit 7.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 10, 12, 14, 16, 18, ?
A. 20
B. 24
C. 22
D. 18
Correct Answer: A
The common difference is 2. So the next term is 18 + 2 = 20.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 57, 92, 135, 186, 245, ?
A. 320
B. 304
C. 312
D. 371
Correct Answer: C
The first differences are [35, 43, 51, 59]; their second difference is constant at 8. Continuing the pattern gives 312.