CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 32, 60, 96, 140, 192, ?
A. 260
B. 304
C. 252
D. 244
Correct Answer: C
The first differences are [28, 36, 44, 52]; their second difference is constant at 8. Continuing the pattern gives 252.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 607 and 548 leaving the same remainder?
A. 59
B. 58
C. 29
D. 60
Correct Answer: A
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 607-548 = 59; the greatest possible divisor is 59.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 9 and LCM 351. What is their product?
A. 351
B. 3168
C. 3159
D. 360
Correct Answer: C
For two positive integers, product = HCF × LCM = 9 × 351 = 3159.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 38, 43, 48, 53, 58, ?
A. 73
B. 58
C. 68
D. 63
Correct Answer: D
The common difference is 5. So the next term is 58 + 5 = 63.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 13, 7, and 5?
A. 910
B. 460
C. 455
D. 13
Correct Answer: C
The required number is LCM(13, 7, 5) = 455.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 21, 27, 22, 28, 23, 29, ?
A. 35
B. 24
C. 29
D. 18
Correct Answer: B
The operations alternate +6, -5. After the last +6, subtract 5: 29 - 5 = 24.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 3, 6, 18, 72, 360, ?
A. 2166
B. 360
C. 1800
D. 2160
Correct Answer: D
The multipliers are ×2, ×3, ×4, ×5; the next multiplier is ×6. Thus 360 × 6 = 2160.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 40, 47, 58, 71, 88, ?
A. 88
B. 107
C. 109
D. 124
Correct Answer: B
Successive prime numbers are added: 7, 11, 13, 17, 19. Add 19 next, giving 107.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 133! ?
A. 31
B. 32
C. 33
D. 13
Correct Answer: B
Trailing zeros = ⌊133/5⌋ + ⌊133/25⌋ + ... = 26 + 5 + 1 = 32.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 20 that is less than 993?
A. 981
B. 1000
C. 960
D. 980
Correct Answer: D
993 ÷ 20 has integer quotient 49; 20 × 49 = 980.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 21, 25, 31, 39, 49, ?
A. 53
B. 59
C. 61
D. 63
Correct Answer: C
The differences are 4, 6, 8, 10, increasing by 2. The next difference is 12, so the answer is 61.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 199 is divided by 18?
A. 2
B. 4
C. 1
D. 3
Correct Answer: C
199 = 18 × 11 + 1; therefore the remainder is 1.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 1, 5, 25, 125, 625, ?
A. 3125
B. 630
C. 3130
D. 625
Correct Answer: A
Each term is multiplied by 5. Therefore 625 × 5 = 3125.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 4 consecutive integers is 178. What is the smallest integer?
A. 42
B. 47
C. 43
D. 44
Correct Answer: C
Let the integers be n, n+1, ..., n+3. Their sum is 178; solving gives n = 43.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least positive number must be added to 693 so that the result is divisible by 11?
A. 22
B. 0
C. 1
D. 11
Correct Answer: D
693 is already divisible by 11; the least positive addition preserving divisibility is 11.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 34, 36, 38, 40, 42, ?
A. 42
B. 44
C. 46
D. 48
Correct Answer: B
The common difference is 2. So the next term is 42 + 2 = 44.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 5, 22, 73, 226, 685, ?
A. 2059
B. 2069
C. 2062
D. 2055
Correct Answer: C
Each term is obtained by ×3 + 7. So 685 × 3 + 7 = 2062.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 12, 25, 51, 103, 207, ?
A. 415
B. 416
C. 414
D. 413
Correct Answer: A
Each term is obtained by ×2 + 1. So 207 × 2 + 1 = 415.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify 39/24.
A. Whole number
B. Irrational
C. Rational
D. Prime number
Correct Answer: C
39/24 is a ratio of two integers with a non-zero denominator, so it is rational.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify 38/13.
A. Whole number
B. Rational
C. Irrational
D. Prime number
Correct Answer: B
38/13 is a ratio of two integers with a non-zero denominator, so it is rational.