Mathematics
Number System
Find the next number: 5, 6, 11, 20, 33, ?
A. 46
B. 50
C. 54
D. 34
Correct Answer: B
The differences are 1, 5, 9, 13, increasing by 4. The next difference is 17, so the answer is 50.
Mathematics
Number System
Find the next term: 14, 34, 48, 82, 130, 212, ?
A. 342
B. 390
C. 424
D. 260
Correct Answer: A
Each term is the sum of the previous two. Therefore 130 + 212 = 342.
Mathematics
Number System
What least number must be subtracted from 1504 so that the result is exactly divisible by 22?
A. 30
B. 8
C. 14
D. 7
Correct Answer: B
The remainder is 8; subtracting the remainder makes the number divisible by 22.
Mathematics
Number System
A two-digit number is 57. What is the absolute difference between the number and the number formed by reversing its digits?
A. 27
B. 18
C. 9
D. 2
Correct Answer: B
Reversed number = 75. Absolute difference = |57 - 75| = 18.
Mathematics
Number System
What is the least positive number exactly divisible by 13, 6, and 5?
A. 390
B. 395
C. 780
D. 13
Correct Answer: A
The required number is LCM(13, 6, 5) = 390.
Mathematics
Number System
Find the next term: 14, 29, 50, 77, 110, ?
A. 107
B. 152
C. 191
D. 149
Correct Answer: D
The terms follow 3n² + 2 for consecutive n. For n = 7, the term is 3×7² + 2 = 149.
Mathematics
Number System
What is the remainder when 2116 is divided by 20?
A. 17
B. 19
C. 18
D. 16
Correct Answer: D
2116 = 20 × 105 + 16; therefore the remainder is 16.
Mathematics
Number System
Classify 35/4.
A. Prime number
B. Whole number
C. Rational
D. Irrational
Correct Answer: C
35/4 is a ratio of two integers with a non-zero denominator, so it is rational.
Mathematics
Number System
Find the missing number: 26, 43, 60, 77, ?, 111
A. 128
B. 94
C. 77
D. 111
Correct Answer: B
This is an arithmetic series with common difference 17; the missing term is 94.
Mathematics
Number System
Find the HCF (GCD) of 40 and 48.
A. 4
B. 8
C. 9
D. 16
Correct Answer: B
The greatest common divisor of 40 and 48 is 8.
Mathematics
Number System
Find the missing number: 66, 72, 78, ?, 90, 96
A. 90
B. 78
C. 84
D. 96
Correct Answer: C
This is an arithmetic series with common difference 6; the missing term is 84.
Mathematics
Number System
Find the next term: 10, 17, 36, 73, ?
A. 59
B. 125
C. 139
D. 134
Correct Answer: D
Each term is n³ + 9. Thus the next term is 5³ + 9 = 134.
Mathematics
Number System
Classify √76.
A. Irrational
B. Whole number
C. Rational
D. Prime number
Correct Answer: A
76 is not a perfect square, so √76 is irrational.
Mathematics
Number System
Find the next term: 23, 38, 31, 46, 39, 54, ?
A. 47
B. 32
C. 69
D. 54
Correct Answer: A
The operations alternate +15, -7. After the last +15, subtract 7: 54 - 7 = 47.
Mathematics
Number System
Find the next term: 35, 56, 83, 116, 155, ?
A. 200
B. 152
C. 203
D. 248
Correct Answer: A
The terms follow 3n² + 8 for consecutive n. For n = 8, the term is 3×8² + 8 = 200.
Mathematics
Number System
A two-digit number is 36. What is the absolute difference between the number and the number formed by reversing its digits?
A. 36
B. 3
C. 18
D. 27
Correct Answer: D
Reversed number = 63. Absolute difference = |36 - 63| = 27.
Mathematics
Number System
Find the next number: 24, 29, 37, 48, 62, ?
A. 67
B. 82
C. 79
D. 76
Correct Answer: C
The differences are 5, 8, 11, 14, increasing by 3. The next difference is 17, so the answer is 79.
Mathematics
Number System
Find the HCF (GCD) of 81 and 117.
A. 10
B. 4
C. 9
D. 18
Correct Answer: C
The greatest common divisor of 81 and 117 is 9.
Mathematics
Number System
Two positive integers have HCF 14 and LCM 420. What is their product?
A. 434
B. 5894
C. 5880
D. 420
Correct Answer: C
For two positive integers, product = HCF × LCM = 14 × 420 = 5880.
Mathematics
Number System
Find the next number in the series: 60, 63, 66, 69, 72, ?
A. 72
B. 75
C. 81
D. 78
Correct Answer: B
The common difference is 3. So the next term is 72 + 3 = 75.