Mathematics
Number System
Find the next term: 74, 87, 85, 98, 96, 109, ?
A. 109
B. 94
C. 107
D. 122
Correct Answer: C
The operations alternate +13, -2. After the last +13, subtract 2: 109 - 2 = 107.
Mathematics
Number System
Find the next number: 17, 22, 29, 40, 53, ?
A. 83
B. 72
C. 70
D. 53
Correct Answer: C
Successive prime numbers are added: 5, 7, 11, 13, 17. Add 17 next, giving 70.
Mathematics
Number System
What is the remainder when 1360 is divided by 19?
A. 11
B. 12
C. 14
D. 13
Correct Answer: A
1360 = 19 × 71 + 11; therefore the remainder is 11.
Mathematics
Number System
Find the next term in the series: 28, 53, 86, 127, 176, ?
A. 241
B. 233
C. 225
D. 282
Correct Answer: B
The first differences are [25, 33, 41, 49]; their second difference is constant at 8. Continuing the pattern gives 233.
Mathematics
Number System
Find the next term in the series: 27, 42, 61, 84, 111, ?
A. 146
B. 169
C. 138
D. 142
Correct Answer: D
The first differences are [15, 19, 23, 27]; their second difference is constant at 4. Continuing the pattern gives 142.
Mathematics
Number System
Find the next number: 4, 12, 48, 240, 1440, ?
A. 10087
B. 10080
C. 8640
D. 1440
Correct Answer: B
The multipliers are ×3, ×4, ×5, ×6; the next multiplier is ×7. Thus 1440 × 7 = 10080.
Mathematics
Number System
Find the next term: 20, 35, 56, 83, 116, ?
A. 155
B. 158
C. 113
D. 197
Correct Answer: A
The terms follow 3n² + 8 for consecutive n. For n = 7, the term is 3×7² + 8 = 155.
Mathematics
Number System
Find the next number: 5, 8, 12, 17, 23, ?
A. 30
B. 29
C. 31
D. 26
Correct Answer: A
The differences are 3, 4, 5, 6, increasing by 1. The next difference is 7, so the answer is 30.
Mathematics
Number System
Find the next term: 58, 69, 67, 78, 76, 87, ?
A. 87
B. 98
C. 85
D. 74
Correct Answer: C
The operations alternate +11, -2. After the last +11, subtract 2: 87 - 2 = 85.
Mathematics
Number System
Find the next term: 10, 19, 34, 55, 82, ?
A. 151
B. 79
C. 115
D. 118
Correct Answer: C
The terms follow 3n² + 7 for consecutive n. For n = 6, the term is 3×6² + 7 = 115.
Mathematics
Number System
How many positive divisors does 72 have?
A. 11
B. 14
C. 7
D. 12
Correct Answer: D
72 = 2^3 × 3^2. Number of divisors = (3+1)(2+1) = 12.
Mathematics
Number System
The sum of 4 consecutive integers is 186. What is the smallest integer?
A. 46
B. 49
C. 44
D. 45
Correct Answer: D
Let the integers be n, n+1, ..., n+3. Their sum is 186; solving gives n = 45.
Mathematics
Number System
Classify 27/23.
A. Prime number
B. Irrational
C. Whole number
D. Rational
Correct Answer: D
27/23 is a ratio of two integers with a non-zero denominator, so it is rational.
Mathematics
Number System
Find the next term: 13, 32, 69, 130, ?
A. 221
B. 227
C. 113
D. 216
Correct Answer: A
Each term is n³ + 5. Thus the next term is 6³ + 5 = 221.
Mathematics
Number System
How many integers from 33 to 367, inclusive, are divisible by 9?
A. 40
B. 36
C. 38
D. 37
Correct Answer: D
Count = ⌊367/9⌋ - ⌊(33-1)/9⌋ = 40 - 3 = 37.
Mathematics
Number System
Find the next term in the series: 14, 25, 40, 59, 82, ?
A. 113
B. 109
C. 132
D. 105
Correct Answer: B
The first differences are [11, 15, 19, 23]; their second difference is constant at 4. Continuing the pattern gives 109.
Mathematics
Number System
Classify √7.
A. Whole number
B. Prime number
C. Irrational
D. Rational
Correct Answer: C
7 is not a perfect square, so √7 is irrational.
Mathematics
Number System
Find the next number: 20, 21, 25, 34, 50, ?
A. 80
B. 75
C. 70
D. 66
Correct Answer: B
The increments are consecutive squares: 1, 4, 9, 16; next add 5² = 25. So the answer is 75.
Mathematics
Number System
Find the next number in the series: 48, 65, 82, 99, 116, ?
A. 133
B. 150
C. 167
D. 116
Correct Answer: A
The common difference is 17. So the next term is 116 + 17 = 133.
Mathematics
Number System
Find the next term: 68, 74, 72, 78, 76, 82, ?
A. 80
B. 74
C. 82
D. 88
Correct Answer: A
The operations alternate +6, -2. After the last +6, subtract 2: 82 - 2 = 80.