CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 11, 19, 27, ?, 43, 51
A. 35
B. 51
C. 27
D. 43
Correct Answer: A
This is an arithmetic series with common difference 8; the missing term is 35.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 1414 is divided by 13?
A. 10
B. 11
C. 0
D. 12
Correct Answer: A
1414 = 13 × 108 + 10; therefore the remainder is 10.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 13 that is less than 4831?
A. 4823
B. 4836
C. 4824
D. 4810
Correct Answer: A
4831 ÷ 13 has integer quotient 371; 13 × 371 = 4823.
CSS - PMS - CCE - PCS - Mathematics
Number System
How is the integer 43 classified?
A. Irrational
B. Neither prime nor composite
C. Composite
D. Prime
Correct Answer: D
43 has exactly two positive divisors, 1 and 43; therefore it is prime.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many positive divisors does 75 have?
A. 6
B. 8
C. 5
D. 7
Correct Answer: A
75 = 3^1 × 5^2. Number of divisors = (1+1)(2+1) = 6.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 458 so that the result is exactly divisible by 7?
A. 10
B. 4
C. 3
D. 2
Correct Answer: C
The remainder is 3; subtracting the remainder makes the number divisible by 7.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 27 that is less than 1058?
A. 1054
B. 1053
C. 1026
D. 1080
Correct Answer: B
1058 ÷ 27 has integer quotient 39; 27 × 39 = 1053.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 58, 66, 74, 82, ?, 98
A. 98
B. 82
C. 90
D. 106
Correct Answer: C
This is an arithmetic series with common difference 8; the missing term is 90.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 22, 74, 30, 72, 38, 70, ?
A. 38
B. 68
C. 46
D. 54
Correct Answer: C
Odd-position terms are 22, 30, 38, ... with difference 8. Hence the next odd-position term is 46.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 82, 92, 84, 94, 86, 96, ?
A. 96
B. 78
C. 88
D. 106
Correct Answer: C
The operations alternate +10, -8. After the last +10, subtract 8: 96 - 8 = 88.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 2401 is divided by 19?
A. 10
B. 8
C. 9
D. 7
Correct Answer: D
2401 = 19 × 126 + 7; therefore the remainder is 7.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 2, 4, 9, 17, 28, ?
A. 42
B. 30
C. 45
D. 39
Correct Answer: A
The differences are 2, 5, 8, 11, increasing by 3. The next difference is 14, so the answer is 42.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be added to 2813 so that the result is exactly divisible by 8?
A. 11
B. 3
C. 4
D. 5
Correct Answer: B
2813 leaves remainder 5 on division by 8. Add 8 - 5 = 3.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 10, 59, 14, 61, 18, 63, ?
A. 18
B. 22
C. 65
D. 26
Correct Answer: B
Odd-position terms are 10, 14, 18, ... with difference 4. Hence the next odd-position term is 22.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 28, 65, 126, 217, ?
A. 351
B. 344
C. 197
D. 343
Correct Answer: B
Each term is n³ + 1. Thus the next term is 7³ + 1 = 344.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 1, 3, 12, 60, 360, ?
A. 360
B. 2520
C. 2527
D. 2160
Correct Answer: B
The multipliers are ×3, ×4, ×5, ×6; the next multiplier is ×7. Thus 360 × 7 = 2520.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 37, 65, 101, 145, 197, ?
A. 257
B. 249
C. 265
D. 309
Correct Answer: A
The first differences are [28, 36, 44, 52]; their second difference is constant at 8. Continuing the pattern gives 257.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the LCM of 6 and 19.
A. 19
B. 114
C. 115
D. 125
Correct Answer: B
LCM = (6 × 19) ÷ HCF(6,19) = 114.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 70, 77, 69, 76, 68, 75, ?
A. 60
B. 75
C. 82
D. 67
Correct Answer: D
The operations alternate +7, -8. After the last +7, subtract 8: 75 - 8 = 67.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the units digit of 15^55?
A. 7
B. 9
C. 5
D. 1
Correct Answer: C
Units digits repeat cyclically; applying the cycle for base 15 gives units digit 5.