Mathematics
Number System
Find the next number in the series: 24, 30, 36, 42, 48, ?
A. 48
B. 60
C. 66
D. 54
Correct Answer: D
The common difference is 6. So the next term is 48 + 6 = 54.
Mathematics
Number System
Two positive integers have HCF 4 and LCM 176. What is their product?
A. 708
B. 704
C. 176
D. 180
Correct Answer: B
For two positive integers, product = HCF × LCM = 4 × 176 = 704.
Mathematics
Number System
Classify √32.
A. Irrational
B. Prime number
C. Rational
D. Whole number
Correct Answer: A
32 is not a perfect square, so √32 is irrational.
Mathematics
Number System
What is the remainder when 1886 is divided by 20?
A. 7
B. 6
C. 9
D. 8
Correct Answer: B
1886 = 20 × 94 + 6; therefore the remainder is 6.
Mathematics
Number System
How many integers from 42 to 273, inclusive, are divisible by 12?
A. 18
B. 20
C. 19
D. 22
Correct Answer: C
Count = ⌊273/12⌋ - ⌊(42-1)/12⌋ = 22 - 3 = 19.
Mathematics
Number System
Find the next number: 4, 13, 40, 121, 364, ?
A. 1094
B. 1092
C. 1090
D. 1093
Correct Answer: D
Each term is obtained by ×3 + 1. So 364 × 3 + 1 = 1093.
Mathematics
Number System
Find the next number: 16, 18, 21, 26, 33, ?
A. 33
B. 51
C. 44
D. 46
Correct Answer: C
Successive prime numbers are added: 2, 3, 5, 7, 11. Add 11 next, giving 44.
Mathematics
Number System
What is the least positive number exactly divisible by 7, 14, and 4?
A. 56
B. 28
C. 32
D. 14
Correct Answer: B
The required number is LCM(7, 14, 4) = 28.
Mathematics
Number System
The sum of 3 consecutive integers is 120. What is the middle integer?
A. 40
B. 43
C. 39
D. 41
Correct Answer: A
The middle integer equals the average: 120 ÷ 3 = 40.
Mathematics
Number System
Find the next number: 22, 31, 47, 72, 108, ?
A. 150
B. 157
C. 144
D. 164
Correct Answer: B
The increments are consecutive squares: 9, 16, 25, 36; next add 7² = 49. So the answer is 157.
Mathematics
Number System
Find the next term in the series: 24, 36, 50, 66, 84, ?
A. 104
B. 122
C. 106
D. 102
Correct Answer: A
The first differences are [12, 14, 16, 18]; their second difference is constant at 2. Continuing the pattern gives 104.
Mathematics
Number System
Find the next number: 25, 26, 31, 40, 53, ?
A. 54
B. 74
C. 66
D. 70
Correct Answer: D
The differences are 1, 5, 9, 13, increasing by 4. The next difference is 17, so the answer is 70.
Mathematics
Number System
What is the greatest multiple of 35 that is less than 4047?
A. 4026
B. 3990
C. 4025
D. 4060
Correct Answer: C
4047 ÷ 35 has integer quotient 115; 35 × 115 = 4025.
Mathematics
Number System
Classify 30/11.
A. Whole number
B. Irrational
C. Rational
D. Prime number
Correct Answer: C
30/11 is a ratio of two integers with a non-zero denominator, so it is rational.
Mathematics
Number System
Find the next term: 27, 64, 125, 216, ?
A. 196
B. 350
C. 343
D. 377
Correct Answer: C
Each term is n³ + 0. Thus the next term is 7³ + 0 = 343.
Mathematics
Number System
Find the next term: 20, 29, 40, 53, 68, ?
A. 103
B. 67
C. 85
D. 86
Correct Answer: C
The terms follow 1n² + 4 for consecutive n. For n = 9, the term is 1×9² + 4 = 85.
Mathematics
Number System
Find the missing number: 5, 22, ?, 56, 73, 90
A. 39
B. 56
C. 73
D. 22
Correct Answer: A
This is an arithmetic series with common difference 17; the missing term is 39.
Mathematics
Number System
Find the next term: 32, 53, 80, 113, 152, ?
A. 245
B. 197
C. 200
D. 149
Correct Answer: B
The terms follow 3n² + 5 for consecutive n. For n = 8, the term is 3×8² + 5 = 197.
Mathematics
Number System
What is the greatest multiple of 14 that is less than 4357?
A. 4368
B. 4355
C. 4354
D. 4340
Correct Answer: C
4357 ÷ 14 has integer quotient 311; 14 × 311 = 4354.
Mathematics
Number System
Find the HCF (GCD) of 80 and 56.
A. 9
B. 4
C. 8
D. 16
Correct Answer: C
The greatest common divisor of 80 and 56 is 8.