CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 58, 69, 67, 78, 76, 87, ?
A. 87
B. 98
C. 85
D. 74
Correct Answer: C
The operations alternate +11, -2. After the last +11, subtract 2: 87 - 2 = 85.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 10, 19, 34, 55, 82, ?
A. 151
B. 79
C. 115
D. 118
Correct Answer: C
The terms follow 3n² + 7 for consecutive n. For n = 6, the term is 3×6² + 7 = 115.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many positive divisors does 72 have?
A. 11
B. 14
C. 7
D. 12
Correct Answer: D
72 = 2^3 × 3^2. Number of divisors = (3+1)(2+1) = 12.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 4 consecutive integers is 186. What is the smallest integer?
A. 46
B. 49
C. 44
D. 45
Correct Answer: D
Let the integers be n, n+1, ..., n+3. Their sum is 186; solving gives n = 45.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify 27/23.
A. Prime number
B. Irrational
C. Whole number
D. Rational
Correct Answer: D
27/23 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: 13, 32, 69, 130, ?
A. 221
B. 227
C. 113
D. 216
Correct Answer: A
Each term is n³ + 5. Thus the next term is 6³ + 5 = 221.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 33 to 367, inclusive, are divisible by 9?
A. 40
B. 36
C. 38
D. 37
Correct Answer: D
Count = ⌊367/9⌋ - ⌊(33-1)/9⌋ = 40 - 3 = 37.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 14, 25, 40, 59, 82, ?
A. 113
B. 109
C. 132
D. 105
Correct Answer: B
The first differences are [11, 15, 19, 23]; their second difference is constant at 4. Continuing the pattern gives 109.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify √7.
A. Whole number
B. Prime number
C. Irrational
D. Rational
Correct Answer: C
7 is not a perfect square, so √7 is irrational.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 20, 21, 25, 34, 50, ?
A. 80
B. 75
C. 70
D. 66
Correct Answer: B
The increments are consecutive squares: 1, 4, 9, 16; next add 5² = 25. So the answer is 75.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 48, 65, 82, 99, 116, ?
A. 133
B. 150
C. 167
D. 116
Correct Answer: A
The common difference is 17. So the next term is 116 + 17 = 133.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 68, 74, 72, 78, 76, 82, ?
A. 80
B. 74
C. 82
D. 88
Correct Answer: A
The operations alternate +6, -2. After the last +6, subtract 2: 82 - 2 = 80.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 11 and LCM 726. What is their product?
A. 7986
B. 737
C. 7997
D. 726
Correct Answer: A
For two positive integers, product = HCF × LCM = 11 × 726 = 7986.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 88! ?
A. 21
B. 8
C. 20
D. 19
Correct Answer: C
Trailing zeros = ⌊88/5⌋ + ⌊88/25⌋ + ... = 17 + 3 = 20.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 5, 11, 21, 35, 53, ?
A. 77
B. 51
C. 75
D. 99
Correct Answer: C
The terms follow 2n² + 3 for consecutive n. For n = 6, the term is 2×6² + 3 = 75.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 902x divisible by 9?
A. 0
B. 8
C. 7
D. 2
Correct Answer: C
A number is divisible by 9 when its digit sum is divisible by 9. Thus 9+0+2+x must be a multiple of 9, giving x = 7.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 3, 9, 27, 81, 243, ?
A. 246
B. 243
C. 732
D. 729
Correct Answer: D
Each term is multiplied by 3. Therefore 243 × 3 = 729.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the units digit of 80^67?
A. 0
B. 6
C. 2
D. 4
Correct Answer: A
Units digits repeat cyclically; applying the cycle for base 80 gives units digit 0.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 19, 30, 41, 52, 63, ?
A. 85
B. 74
C. 96
D. 63
Correct Answer: B
The common difference is 11. So the next term is 63 + 11 = 74.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 67 to 429, inclusive, are divisible by 7?
A. 61
B. 52
C. 51
D. 53
Correct Answer: B
Count = ⌊429/7⌋ - ⌊(67-1)/7⌋ = 61 - 9 = 52.