CSS - PMS - CCE - PCS - Mathematics
Number System
Find the LCM of 19 and 14.
A. 266
B. 292
C. 267
D. 19
Correct Answer: A
LCM = (19 × 14) ÷ HCF(19,14) = 266.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 93 to 181, inclusive, are divisible by 6?
A. 16
B. 15
C. 14
D. 30
Correct Answer: B
Count = ⌊181/6⌋ - ⌊(93-1)/6⌋ = 30 - 15 = 15.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 375 so that the result is exactly divisible by 21?
A. 3
B. 39
C. 18
D. 17
Correct Answer: C
The remainder is 18; subtracting the remainder makes the number divisible by 21.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 4, 16, 36, 64, 100, ?
A. 148
B. 144
C. 192
D. 96
Correct Answer: B
The terms follow 4n² + 0 for consecutive n. For n = 6, the term is 4×6² + 0 = 144.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the units digit of 92^49?
A. 8
B. 4
C. 6
D. 2
Correct Answer: D
Units digits repeat cyclically; applying the cycle for base 92 gives units digit 2.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 44, 65, 90, 119, 152, ?
A. 222
B. 189
C. 193
D. 185
Correct Answer: B
The first differences are [21, 25, 29, 33]; their second difference is constant at 4. Continuing the pattern gives 189.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 1457 so that the result is exactly divisible by 20?
A. 3
B. 16
C. 37
D. 17
Correct Answer: D
The remainder is 17; subtracting the remainder makes the number divisible by 20.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 8, 9, 17, 26, 43, 69, ?
A. 86
B. 112
C. 129
D. 138
Correct Answer: B
Each term is the sum of the previous two. Therefore 43 + 69 = 112.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 32, 69, 130, 221, ?
A. 348
B. 355
C. 201
D. 343
Correct Answer: A
Each term is n³ + 5. Thus the next term is 7³ + 5 = 348.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the HCF (GCD) of 60 and 144.
A. 24
B. 13
C. 12
D. 6
Correct Answer: C
The greatest common divisor of 60 and 144 is 12.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 10, 15, 22, 31, 42, ?
A. 53
B. 57
C. 66
D. 55
Correct Answer: D
The first differences are [5, 7, 9, 11]; their second difference is constant at 2. Continuing the pattern gives 55.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 10, 35, 110, 335, 1010, ?
A. 3030
B. 3035
C. 3032
D. 3040
Correct Answer: B
Each term is obtained by ×3 + 5. So 1010 × 3 + 5 = 3035.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 9 and LCM 936. What is their product?
A. 936
B. 945
C. 8424
D. 8433
Correct Answer: C
For two positive integers, product = HCF × LCM = 9 × 936 = 8424.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 41, 53, 65, 77, 89, ?
A. 113
B. 101
C. 125
D. 89
Correct Answer: B
The common difference is 12. So the next term is 89 + 12 = 101.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 12, 19, 30, 43, 60, ?
A. 60
B. 96
C. 79
D. 81
Correct Answer: C
Successive prime numbers are added: 7, 11, 13, 17, 19. Add 19 next, giving 79.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 16, 32, 57, 93, 142, ?
A. 191
B. 198
C. 214
D. 206
Correct Answer: D
The increments are consecutive squares: 16, 25, 36, 49; next add 8² = 64. So the answer is 206.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 5 consecutive integers is 405. What is the middle integer?
A. 82
B. 80
C. 81
D. 86
Correct Answer: C
The middle integer equals the average: 405 ÷ 5 = 81.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 6, 14, 30, 62, 126, ?
A. 252
B. 279
C. 256
D. 254
Correct Answer: D
Each term is obtained by ×2 + 2. So 126 × 2 + 2 = 254.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify √28.
A. Rational
B. Whole number
C. Prime number
D. Irrational
Correct Answer: D
28 is not a perfect square, so √28 is irrational.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 27, 44, 61, 78, 95, ?
A. 146
B. 95
C. 112
D. 129
Correct Answer: C
The common difference is 17. So the next term is 95 + 17 = 112.