CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 80. What is the absolute difference between the number and the number formed by reversing its digits?
A. 81
B. 8
C. 63
D. 72
Correct Answer: D
Reversed number = 8. Absolute difference = |80 - 8| = 72.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 5, 25, 125, 625, 3125, ?
A. 3130
B. 15630
C. 3125
D. 15625
Correct Answer: D
Each term is multiplied by 5. Therefore 3125 × 5 = 15625.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 4, 9, 19, 39, 79, ?
A. 158
B. 159
C. 160
D. 157
Correct Answer: B
Each term is obtained by ×2 + 1. So 79 × 2 + 1 = 159.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 2152 so that the result is exactly divisible by 27?
A. 19
B. 8
C. 18
D. 46
Correct Answer: A
The remainder is 19; subtracting the remainder makes the number divisible by 27.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 5, 8, 11, ?, 17, 20
A. 14
B. 20
C. 17
D. 11
Correct Answer: A
This is an arithmetic series with common difference 3; the missing term is 14.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be added to 603 so that the result is exactly divisible by 8?
A. 5
B. 6
C. 3
D. 13
Correct Answer: A
603 leaves remainder 3 on division by 8. Add 8 - 3 = 5.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 4 consecutive integers is 90. What is the smallest integer?
A. 25
B. 22
C. 20
D. 21
Correct Answer: D
Let the integers be n, n+1, ..., n+3. Their sum is 90; solving gives n = 21.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify √19.
A. Prime number
B. Rational
C. Whole number
D. Irrational
Correct Answer: D
19 is not a perfect square, so √19 is irrational.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 18, 32, 50, 72, 98, ?
A. 124
B. 154
C. 132
D. 128
Correct Answer: D
The first differences are [14, 18, 22, 26]; their second difference is constant at 4. Continuing the pattern gives 128.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify 27/8.
A. Prime number
B. Rational
C. Irrational
D. Whole number
Correct Answer: B
27/8 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: 66, 72, 65, 71, 64, 70, ?
A. 70
B. 57
C. 63
D. 76
Correct Answer: C
The operations alternate +6, -7. After the last +6, subtract 7: 70 - 7 = 63.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the units digit of 82^58?
A. 4
B. 6
C. 8
D. 0
Correct Answer: A
Units digits repeat cyclically; applying the cycle for base 82 gives units digit 4.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the HCF (GCD) of 238 and 153.
A. 18
B. 34
C. 8
D. 17
Correct Answer: D
The greatest common divisor of 238 and 153 is 17.
CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 81. What is the absolute difference between the number and the number formed by reversing its digits?
A. 7
B. 72
C. 54
D. 63
Correct Answer: D
Reversed number = 18. Absolute difference = |81 - 18| = 63.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 33 that is less than 1469?
A. 1453
B. 1485
C. 1452
D. 1419
Correct Answer: C
1469 ÷ 33 has integer quotient 44; 33 × 44 = 1452.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 3 consecutive integers is 27. What is the middle integer?
A. 8
B. 9
C. 10
D. 12
Correct Answer: B
The middle integer equals the average: 27 ÷ 3 = 9.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 2, 7, 13, 20, 28, ?
A. 37
B. 38
C. 36
D. 33
Correct Answer: A
The differences are 5, 6, 7, 8, increasing by 1. The next difference is 9, so the answer is 37.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 45, 72, 105, 144, 189, ?
A. 234
B. 285
C. 240
D. 246
Correct Answer: C
The first differences are [27, 33, 39, 45]; their second difference is constant at 6. Continuing the pattern gives 240.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 20, 29, 40, 53, 68, ?
A. 85
B. 100
C. 83
D. 87
Correct Answer: A
The first differences are [9, 11, 13, 15]; their second difference is constant at 2. Continuing the pattern gives 85.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be added to 1961 so that the result is exactly divisible by 19?
A. 4
B. 15
C. 16
D. 34
Correct Answer: B
1961 leaves remainder 4 on division by 19. Add 19 - 4 = 15.