CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 3 consecutive integers is 96. What is the middle integer?
A. 32
B. 31
C. 35
D. 33
Correct Answer: A
The middle integer equals the average: 96 ÷ 3 = 32.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify 30/24.
A. Rational
B. Irrational
C. Whole number
D. Prime number
Correct Answer: A
30/24 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 term: 8, 17, 32, 53, 80, ?
A. 113
B. 77
C. 149
D. 116
Correct Answer: A
The terms follow 3n² + 5 for consecutive n. For n = 6, the term is 3×6² + 5 = 113.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 28 that is less than 4926?
A. 4901
B. 4872
C. 4900
D. 4928
Correct Answer: C
4926 ÷ 28 has integer quotient 175; 28 × 175 = 4900.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 3995 so that the result is exactly divisible by 24?
A. 35
B. 10
C. 13
D. 11
Correct Answer: D
The remainder is 11; subtracting the remainder makes the number divisible by 24.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 30, 67, 128, 219, ?
A. 353
B. 343
C. 199
D. 346
Correct Answer: D
Each term is n³ + 3. Thus the next term is 7³ + 3 = 346.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 1641 so that the result is exactly divisible by 23?
A. 8
B. 7
C. 15
D. 31
Correct Answer: A
The remainder is 8; subtracting the remainder makes the number divisible by 23.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 12 and LCM 1584. What is their product?
A. 19008
B. 1596
C. 1584
D. 19020
Correct Answer: A
For two positive integers, product = HCF × LCM = 12 × 1584 = 19008.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 383 and 326 leaving the same remainder?
A. 28
B. 58
C. 57
D. 56
Correct Answer: C
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 383-326 = 57; the greatest possible divisor is 57.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the LCM of 16 and 22.
A. 176
B. 178
C. 352
D. 22
Correct Answer: A
LCM = (16 × 22) ÷ HCF(16,22) = 176.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 12, 22, 36, 54, 76, ?
A. 102
B. 104
C. 130
D. 74
Correct Answer: A
The terms follow 2n² + 4 for consecutive n. For n = 7, the term is 2×7² + 4 = 102.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 9, 7, and 10?
A. 637
B. 10
C. 630
D. 1260
Correct Answer: C
The required number is LCM(9, 7, 10) = 630.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 497 and 417 leaving the same remainder?
A. 79
B. 81
C. 40
D. 80
Correct Answer: D
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 497-417 = 80; the greatest possible divisor is 80.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 2, 9, 28, 65, ?
A. 51
B. 131
C. 126
D. 125
Correct Answer: C
Each term is n³ + 1. Thus the next term is 5³ + 1 = 126.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 11, 19, 30, 49, 79, 128, ?
A. 237
B. 158
C. 207
D. 256
Correct Answer: C
Each term is the sum of the previous two. Therefore 79 + 128 = 207.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 18, 25, 26, 22, 34, 19, ?
A. 34
B. 16
C. 42
D. 50
Correct Answer: C
Odd-position terms are 18, 26, 34, ... with difference 8. Hence the next odd-position term is 42.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 14, 15, and 11?
A. 4620
B. 15
C. 2321
D. 2310
Correct Answer: D
The required number is LCM(14, 15, 11) = 2310.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 16 that is less than 4722?
A. 4736
B. 4721
C. 4704
D. 4720
Correct Answer: D
4722 ÷ 16 has integer quotient 295; 16 × 295 = 4720.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be added to 844 so that the result is exactly divisible by 18?
A. 2
B. 20
C. 16
D. 3
Correct Answer: A
844 leaves remainder 16 on division by 18. Add 18 - 16 = 2.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 15, 16, and 8?
A. 248
B. 480
C. 240
D. 16
Correct Answer: C
The required number is LCM(15, 16, 8) = 240.