CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 4, 15, 48, 147, 444, ?
A. 1338
B. 1332
C. 1468
D. 1335
Correct Answer: D
Each term is obtained by ×3 + 3. So 444 × 3 + 3 = 1335.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 86, 104, 122, 140, ?, 176
A. 140
B. 194
C. 158
D. 176
Correct Answer: C
This is an arithmetic series with common difference 18; the missing term is 158.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 38, 40, 46, 56, 70, ?
A. 72
B. 84
C. 92
D. 88
Correct Answer: D
The differences are 2, 6, 10, 14, increasing by 4. The next difference is 18, so the answer is 88.
CSS - PMS - CCE - PCS - Mathematics
Number System
How is the integer 41 classified?
A. Irrational
B. Composite
C. Neither prime nor composite
D. Prime
Correct Answer: D
41 has exactly two positive divisors, 1 and 41; therefore it is prime.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify 3/17.
A. Prime number
B. Whole number
C. Irrational
D. Rational
Correct Answer: D
3/17 is a ratio of two integers with a non-zero denominator, so it is rational.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 14, 16, 19, 24, 31, ?
A. 44
B. 49
C. 31
D. 42
Correct Answer: D
Successive prime numbers are added: 2, 3, 5, 7, 11. Add 11 next, giving 42.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 3 and LCM 120. What is their product?
A. 360
B. 123
C. 363
D. 120
Correct Answer: A
For two positive integers, product = HCF × LCM = 3 × 120 = 360.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 2135 is divided by 12?
A. 2
B. 0
C. 11
D. 1
Correct Answer: C
2135 = 12 × 177 + 11; therefore the remainder is 11.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 17, 18, 22, 31, 47, ?
A. 72
B. 77
C. 63
D. 67
Correct Answer: A
The increments are consecutive squares: 1, 4, 9, 16; next add 5² = 25. So the answer is 72.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 10, 16, 26, 40, 58, ?
A. 80
B. 84
C. 64
D. 76
Correct Answer: A
The differences are 6, 10, 14, 18, increasing by 4. The next difference is 22, so the answer is 80.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 22, 28, 34, 40, 46, ?
A. 58
B. 64
C. 52
D. 46
Correct Answer: C
The common difference is 6. So the next term is 46 + 6 = 52.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 11, 14, 19, 26, 37, ?
A. 52
B. 61
C. 37
D. 50
Correct Answer: D
Successive prime numbers are added: 3, 5, 7, 11, 13. Add 13 next, giving 50.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 25, 36, 49, 64, 81, ?
A. 117
B. 98
C. 100
D. 102
Correct Answer: C
The first differences are [11, 13, 15, 17]; their second difference is constant at 2. Continuing the pattern gives 100.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 8, 6, and 5?
A. 125
B. 240
C. 8
D. 120
Correct Answer: D
The required number is LCM(8, 6, 5) = 120.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 37, 74, 135, 226, ?
A. 360
B. 353
C. 343
D. 206
Correct Answer: B
Each term is n³ + 10. Thus the next term is 7³ + 10 = 353.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 9, 31, 97, 295, 889, ?
A. 2667
B. 2671
C. 2668
D. 2675
Correct Answer: B
Each term is obtained by ×3 + 4. So 889 × 3 + 4 = 2671.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 29, 32, 36, 37, 43, 42, ?
A. 47
B. 57
C. 43
D. 50
Correct Answer: D
Odd-position terms are 29, 36, 43, ... with difference 7. Hence the next odd-position term is 50.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 35! ?
A. 3
B. 9
C. 8
D. 7
Correct Answer: C
Trailing zeros = ⌊35/5⌋ + ⌊35/25⌋ + ... = 7 + 1 = 8.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 2, 6, 24, 120, 720, ?
A. 4320
B. 5047
C. 5040
D. 720
Correct Answer: C
The multipliers are ×3, ×4, ×5, ×6; the next multiplier is ×7. Thus 720 × 7 = 5040.
CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 50. What is the absolute difference between the number and the number formed by reversing its digits?
A. 36
B. 45
C. 54
D. 5
Correct Answer: B
Reversed number = 5. Absolute difference = |50 - 5| = 45.