Mathematics
Number System
Find the next number in the series: 67, 74, 81, 88, 95, ?
A. 95
B. 102
C. 109
D. 116
Correct Answer: B
The common difference is 7. So the next term is 95 + 7 = 102.
Mathematics
Number System
Find the next term: 81, 93, 88, 100, 95, 107, ?
A. 107
B. 90
C. 119
D. 102
Correct Answer: D
The operations alternate +12, -5. After the last +12, subtract 5: 107 - 5 = 102.
Mathematics
Number System
Find the next number: 1, 5, 14, 30, 55, ?
A. 91
B. 85
C. 80
D. 97
Correct Answer: A
The increments are consecutive squares: 4, 9, 16, 25; next add 6² = 36. So the answer is 91.
Mathematics
Number System
Find the next number in the series: 64, 71, 78, 85, 92, ?
A. 113
B. 92
C. 106
D. 99
Correct Answer: D
The common difference is 7. So the next term is 92 + 7 = 99.
Mathematics
Number System
Find the next number in the alternating series: 27, 41, 32, 45, 37, 49, ?
A. 53
B. 37
C. 42
D. 47
Correct Answer: C
Odd-position terms are 27, 32, 37, ... with difference 5. Hence the next odd-position term is 42.
Mathematics
Number System
What is the least positive number exactly divisible by 17, 4, and 6?
A. 204
B. 17
C. 208
D. 408
Correct Answer: A
The required number is LCM(17, 4, 6) = 204.
Mathematics
Number System
Find the next term in the series: 28, 45, 66, 91, 120, ?
A. 153
B. 149
C. 182
D. 157
Correct Answer: A
The first differences are [17, 21, 25, 29]; their second difference is constant at 4. Continuing the pattern gives 153.
Mathematics
Number System
Find the next number in the alternating series: 24, 72, 28, 79, 32, 86, ?
A. 40
B. 32
C. 36
D. 93
Correct Answer: C
Odd-position terms are 24, 28, 32, ... with difference 4. Hence the next odd-position term is 36.
Mathematics
Number System
Find the next number: 12, 40, 124, 376, 1132, ?
A. 3396
B. 3397
C. 3404
D. 3400
Correct Answer: D
Each term is obtained by ×3 + 4. So 1132 × 3 + 4 = 3400.
Mathematics
Number System
What is the remainder when 3570 is divided by 22?
A. 6
B. 8
C. 9
D. 7
Correct Answer: A
3570 = 22 × 162 + 6; therefore the remainder is 6.
Mathematics
Number System
Find the next number: 4, 20, 45, 81, 130, ?
A. 202
B. 186
C. 179
D. 194
Correct Answer: D
The increments are consecutive squares: 16, 25, 36, 49; next add 8² = 64. So the answer is 194.
Mathematics
Number System
The sum of 4 consecutive integers is 46. What is the smallest integer?
A. 14
B. 10
C. 11
D. 9
Correct Answer: B
Let the integers be n, n+1, ..., n+3. Their sum is 46; solving gives n = 10.
Mathematics
Number System
How many trailing zeros are there in 141! ?
A. 14
B. 34
C. 35
D. 33
Correct Answer: B
Trailing zeros = ⌊141/5⌋ + ⌊141/25⌋ + ... = 28 + 5 + 1 = 34.
Mathematics
Number System
Find the missing number: 9, 14, 19, 24, ?, 34
A. 24
B. 39
C. 29
D. 34
Correct Answer: C
This is an arithmetic series with common difference 5; the missing term is 29.
Mathematics
Number System
What least number must be added to 510 so that the result is exactly divisible by 14?
A. 9
B. 6
C. 8
D. 22
Correct Answer: C
510 leaves remainder 6 on division by 14. Add 14 - 6 = 8.
Mathematics
Number System
What least number must be added to 266 so that the result is exactly divisible by 12?
A. 22
B. 11
C. 10
D. 2
Correct Answer: C
266 leaves remainder 2 on division by 12. Add 12 - 2 = 10.
Mathematics
Number System
The sum of 3 consecutive integers is 204. What is the middle integer?
A. 68
B. 71
C. 67
D. 69
Correct Answer: A
The middle integer equals the average: 204 ÷ 3 = 68.
Mathematics
Number System
Find the next term: 42, 55, 49, 62, 56, 69, ?
A. 69
B. 82
C. 63
D. 50
Correct Answer: C
The operations alternate +13, -6. After the last +13, subtract 6: 69 - 6 = 63.
Mathematics
Number System
Find the next number: 3, 7, 15, 31, 63, ?
A. 128
B. 125
C. 126
D. 127
Correct Answer: D
Each term is obtained by ×2 + 1. So 63 × 2 + 1 = 127.
Mathematics
Number System
A two-digit number is 82. What is the absolute difference between the number and the number formed by reversing its digits?
A. 63
B. 6
C. 54
D. 45
Correct Answer: C
Reversed number = 28. Absolute difference = |82 - 28| = 54.