Mathematics
Number System
Find the next number: 22, 23, 26, 31, 38, ?
A. 47
B. 39
C. 45
D. 49
Correct Answer: A
The differences are 1, 3, 5, 7, increasing by 2. The next difference is 9, so the answer is 47.
Mathematics
Number System
Find the missing number: 57, 66, ?, 84, 93, 102
A. 75
B. 66
C. 84
D. 93
Correct Answer: A
This is an arithmetic series with common difference 9; the missing term is 75.
Mathematics
Number System
What is the greatest multiple of 14 that is less than 1919?
A. 1918
B. 1932
C. 1904
D. 1919
Correct Answer: A
1919 ÷ 14 has integer quotient 137; 14 × 137 = 1918.
Mathematics
Number System
Find the next number: 3, 9, 16, 24, 33, ?
A. 44
B. 42
C. 39
D. 43
Correct Answer: D
The differences are 6, 7, 8, 9, increasing by 1. The next difference is 10, so the answer is 43.
Mathematics
Number System
What is the least positive number exactly divisible by 10, 5, and 13?
A. 135
B. 260
C. 13
D. 130
Correct Answer: D
The required number is LCM(10, 5, 13) = 130.
Mathematics
Number System
What is the units digit of 39^89?
A. 1
B. 5
C. 9
D. 3
Correct Answer: C
Units digits repeat cyclically; applying the cycle for base 39 gives units digit 9.
Mathematics
Number System
What least number must be added to 1990 so that the result is exactly divisible by 16?
A. 10
B. 26
C. 11
D. 6
Correct Answer: A
1990 leaves remainder 6 on division by 16. Add 16 - 6 = 10.
Mathematics
Number System
Find the next number in the series: 6, 30, 150, 750, 3750, ?
A. 18750
B. 3750
C. 3755
D. 18755
Correct Answer: A
Each term is multiplied by 5. Therefore 3750 × 5 = 18750.
Mathematics
Number System
Find the next term: 32, 50, 72, 98, 128, ?
A. 162
B. 126
C. 198
D. 164
Correct Answer: A
The terms follow 2n² + 0 for consecutive n. For n = 9, the term is 2×9² + 0 = 162.
Mathematics
Number System
Find the next term: 98, 112, 108, 122, 118, 132, ?
A. 132
B. 146
C. 128
D. 114
Correct Answer: C
The operations alternate +14, -4. After the last +14, subtract 4: 132 - 4 = 128.
Mathematics
Number System
How is the integer 50 classified?
A. Irrational
B. Neither prime nor composite
C. Composite
D. Prime
Correct Answer: C
50 = 10 × 5, so it has factors other than 1 and itself and is composite.
Mathematics
Number System
Find the next number: 34, 39, 49, 64, 84, ?
A. 104
B. 114
C. 89
D. 109
Correct Answer: D
The differences are 5, 10, 15, 20, increasing by 5. The next difference is 25, so the answer is 109.
Mathematics
Number System
Find the LCM of 27 and 24.
A. 27
B. 648
C. 219
D. 216
Correct Answer: D
LCM = (27 × 24) ÷ HCF(27,24) = 216.
Mathematics
Number System
The sum of 5 consecutive integers is 65. What is the middle integer?
A. 13
B. 12
C. 14
D. 18
Correct Answer: A
The middle integer equals the average: 65 ÷ 5 = 13.
Mathematics
Number System
How many integers from 43 to 411, inclusive, are divisible by 4?
A. 93
B. 91
C. 92
D. 102
Correct Answer: C
Count = ⌊411/4⌋ - ⌊(43-1)/4⌋ = 102 - 10 = 92.
Mathematics
Number System
Find the next term in the series: 26, 39, 54, 71, 90, ?
A. 111
B. 130
C. 113
D. 109
Correct Answer: A
The first differences are [13, 15, 17, 19]; their second difference is constant at 2. Continuing the pattern gives 111.
Mathematics
Number System
Find the next number: 7, 8, 12, 21, 37, ?
A. 57
B. 53
C. 67
D. 62
Correct Answer: D
The increments are consecutive squares: 1, 4, 9, 16; next add 5² = 25. So the answer is 62.
Mathematics
Number System
Find the next number in the series: 5, 10, 20, 40, 80, ?
A. 80
B. 162
C. 160
D. 82
Correct Answer: C
Each term is multiplied by 2. Therefore 80 × 2 = 160.
Mathematics
Number System
What is the units digit of 46^13?
A. 0
B. 6
C. 8
D. 2
Correct Answer: B
Units digits repeat cyclically; applying the cycle for base 46 gives units digit 6.
Mathematics
Number System
Find the next number: 30, 32, 37, 45, 56, ?
A. 67
B. 70
C. 58
D. 73
Correct Answer: B
The differences are 2, 5, 8, 11, increasing by 3. The next difference is 14, so the answer is 70.