CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 26, 31, 36, 41, 46, ?
A. 56
B. 46
C. 51
D. 61
Correct Answer: C
The common difference is 5. So the next term is 46 + 5 = 51.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 3, 5, 8, 13, 20, ?
A. 31
B. 33
C. 38
D. 20
Correct Answer: A
Successive prime numbers are added: 2, 3, 5, 7, 11. Add 11 next, giving 31.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 28, 31, 35, 40, 46, ?
A. 54
B. 52
C. 53
D. 49
Correct Answer: C
The differences are 3, 4, 5, 6, increasing by 1. The next difference is 7, so the answer is 53.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 35 that is less than 3136?
A. 3080
B. 3150
C. 3116
D. 3115
Correct Answer: D
3136 ÷ 35 has integer quotient 89; 35 × 89 = 3115.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 27, 61, 35, 59, 43, 57, ?
A. 59
B. 43
C. 51
D. 55
Correct Answer: C
Odd-position terms are 27, 35, 43, ... with difference 8. Hence the next odd-position term is 51.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many positive divisors does 250 have?
A. 10
B. 8
C. 7
D. 6
Correct Answer: B
250 = 5^3 × 2^1. Number of divisors = (3+1)(1+1) = 8.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 755 so that the result is exactly divisible by 27?
A. 26
B. 25
C. 1
D. 53
Correct Answer: A
The remainder is 26; subtracting the remainder makes the number divisible by 27.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the HCF (GCD) of 84 and 132.
A. 6
B. 12
C. 24
D. 13
Correct Answer: B
The greatest common divisor of 84 and 132 is 12.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the HCF (GCD) of 182 and 168.
A. 28
B. 7
C. 14
D. 15
Correct Answer: C
The greatest common divisor of 182 and 168 is 14.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 5, 10, 30, 120, 600, ?
A. 600
B. 3600
C. 3000
D. 3606
Correct Answer: B
The multipliers are ×2, ×3, ×4, ×5; the next multiplier is ×6. Thus 600 × 6 = 3600.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify √46.
A. Prime number
B. Irrational
C. Whole number
D. Rational
Correct Answer: B
46 is not a perfect square, so √46 is irrational.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 988x divisible by 9?
A. 7
B. 3
C. 5
D. 2
Correct Answer: D
A number is divisible by 9 when its digit sum is divisible by 9. Thus 9+8+8+x must be a multiple of 9, giving x = 2.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 4 consecutive integers is 174. What is the smallest integer?
A. 46
B. 43
C. 41
D. 42
Correct Answer: D
Let the integers be n, n+1, ..., n+3. Their sum is 174; solving gives n = 42.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many positive divisors does 1000 have?
A. 18
B. 8
C. 16
D. 15
Correct Answer: C
1000 = 2^3 × 5^3. Number of divisors = (3+1)(3+1) = 16.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 20, 34, 52, 74, 100, ?
A. 130
B. 162
C. 98
D. 132
Correct Answer: A
The terms follow 2n² + 2 for consecutive n. For n = 8, the term is 2×8² + 2 = 130.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 10, 18, 28, 46, 74, 120, ?
A. 240
B. 194
C. 222
D. 148
Correct Answer: B
Each term is the sum of the previous two. Therefore 74 + 120 = 194.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 10, 29, 66, 127, ?
A. 216
B. 218
C. 110
D. 224
Correct Answer: B
Each term is n³ + 2. Thus the next term is 6³ + 2 = 218.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 2, 8, 32, 128, 512, ?
A. 2048
B. 512
C. 516
D. 2052
Correct Answer: A
Each term is multiplied by 4. Therefore 512 × 4 = 2048.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 15, 23, 31, 39, 47, ?
A. 71
B. 63
C. 47
D. 55
Correct Answer: D
The common difference is 8. So the next term is 47 + 8 = 55.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 2403 so that the result is exactly divisible by 16?
A. 19
B. 2
C. 3
D. 13
Correct Answer: C
The remainder is 3; subtracting the remainder makes the number divisible by 16.