CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 11, 20, 35, 56, 83, ?
A. 80
B. 119
C. 152
D. 116
Correct Answer: D
The terms follow 3n² + 8 for consecutive n. For n = 6, the term is 3×6² + 8 = 116.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 7 and LCM 588. What is their product?
A. 4123
B. 588
C. 595
D. 4116
Correct Answer: D
For two positive integers, product = HCF × LCM = 7 × 588 = 4116.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 545 and 501 leaving the same remainder?
A. 22
B. 45
C. 44
D. 43
Correct Answer: C
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 545-501 = 44; the greatest possible divisor is 44.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify √44.
A. Irrational
B. Rational
C. Whole number
D. Prime number
Correct Answer: A
44 is not a perfect square, so √44 is irrational.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 5 consecutive integers is 345. What is the middle integer?
A. 69
B. 74
C. 68
D. 70
Correct Answer: A
The middle integer equals the average: 345 ÷ 5 = 69.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 5 consecutive integers is 230. What is the middle integer?
A. 46
B. 51
C. 45
D. 47
Correct Answer: A
The middle integer equals the average: 230 ÷ 5 = 46.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 56, 62, 68, 74, 80, ?
A. 98
B. 92
C. 80
D. 86
Correct Answer: D
The common difference is 6. So the next term is 80 + 6 = 86.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 9, 15, 23, 33, 45, ?
A. 57
B. 59
C. 71
D. 61
Correct Answer: B
The first differences are [6, 8, 10, 12]; their second difference is constant at 2. Continuing the pattern gives 59.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 14, 19, 29, 44, 64, ?
A. 69
B. 84
C. 89
D. 94
Correct Answer: C
The differences are 5, 10, 15, 20, increasing by 5. The next difference is 25, so the answer is 89.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 9, 28, 65, 126, ?
A. 223
B. 216
C. 109
D. 217
Correct Answer: D
Each term is n³ + 1. Thus the next term is 6³ + 1 = 217.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 18 that is less than 2406?
A. 2376
B. 2395
C. 2394
D. 2412
Correct Answer: C
2406 ÷ 18 has integer quotient 133; 18 × 133 = 2394.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many positive divisors does 1372 have?
A. 12
B. 11
C. 14
D. 7
Correct Answer: A
1372 = 2^2 × 7^3. Number of divisors = (2+1)(3+1) = 12.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 6, 13, 25, 42, 64, ?
A. 91
B. 96
C. 86
D. 71
Correct Answer: A
The differences are 7, 12, 17, 22, increasing by 5. The next difference is 27, so the answer is 91.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 6, 12, 24, 48, 96, ?
A. 194
B. 96
C. 98
D. 192
Correct Answer: D
Each term is multiplied by 2. Therefore 96 × 2 = 192.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 16 that is less than 3583?
A. 3568
B. 3569
C. 3584
D. 3552
Correct Answer: A
3583 ÷ 16 has integer quotient 223; 16 × 223 = 3568.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 13, 18, 25, 34, 45, ?
A. 44
B. 59
C. 72
D. 58
Correct Answer: D
The terms follow 1n² + 9 for consecutive n. For n = 7, the term is 1×7² + 9 = 58.
CSS - PMS - CCE - PCS - Mathematics
Number System
How is the integer 20 classified?
A. Neither prime nor composite
B. Irrational
C. Prime
D. Composite
Correct Answer: D
20 = 4 × 5, so it has factors other than 1 and itself and is composite.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 2597 so that the result is exactly divisible by 15?
A. 17
B. 1
C. 13
D. 2
Correct Answer: D
The remainder is 2; subtracting the remainder makes the number divisible by 15.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 13 and LCM 715. What is their product?
A. 728
B. 9308
C. 715
D. 9295
Correct Answer: D
For two positive integers, product = HCF × LCM = 13 × 715 = 9295.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 640 and 553 leaving the same remainder?
A. 88
B. 86
C. 43
D. 87
Correct Answer: D
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 640-553 = 87; the greatest possible divisor is 87.