Number Series MCQs

Correct Answer: 32

Each term doubles: 2, 4, 8, 16, 32.

Correct Answer: 112

Each term doubles: 7, 14, 28, 56, 112.

Correct Answer: 64

The series consists of two alternating patterns: odd positions are cubes (1³, 2³, 3³, 4³=64) and even positions are squares (1², 2², 3², 4²=16).

Correct Answer: 369

The differences are 3, 9, 27, 81. The next difference is 3^5 = 243. 126 + 243 = 369.

Correct Answer: 85

The difference between terms is increasing by 4 (8, 12, 16, 20). The next difference is 24, making 61 + 24 = 85.

Correct Answer: -67

The differences are doubling: -2, -4, -8, -16. The next difference is -32. -35 + (-32) = -67.

Correct Answer: 125

This is an arithmetic progression with a=35 and d=10. The 10th term is 35 + 9(10) = 125.

Correct Answer: 9^2+1=82

The pattern follows (n+1)^2 + 1. The 8th line corresponds to (8+1)^2 + 1 = 9^2 + 1 = 82.

Correct Answer: 28

The first five prime numbers are 2, 3, 5, 7, and 11. Their sum is 2 + 3 + 5 + 7 + 11 = 28.

Correct Answer: -67, -131

The series follows a pattern of alternating subtraction and addition of doubling differences. Following -65, the next logical steps in the pattern result in -131.

Correct Answer: 36

The sequence multiplies each term by 1.5. So, 16 * 1.5 = 24. Then, 24 * 1.5 = 36. Finally, 36 * 1.5 = 54.

Correct Answer: 18

The pattern adds sequential integers: +1, +2, +3, +4. So 13 + 5 = 18.

Correct Answer: 31

The series increases by even numbers: 7+6=13, 13+8=21, 21+10=31, 31+12=43.

Correct Answer: 56

The differences are increasing even numbers: +4, +6, +8, +10, +12, +14. So 42 + 14 = 56.

Correct Answer: 35

The pattern involves multiplying the number by an increasing integer: 4x2=8, 5x3=15, 6x4=24. Following this, 7x5=35.

Correct Answer: 127

The pattern follows multiplying the previous number by 2 and adding 1 (e.g., 63 × 2 + 1 = 127).

Correct Answer: 82

The gaps between terms are 2, 6, 18 (each gap is multiplied by 3). The next gap is 18 × 3 = 54. 28 + 54 = 82.

Correct Answer: 4

The series interleaves two patterns: odd indices (1, 2, 3...) increase by 1, while even indices (2, 5, 8...) increase by 3. The next number follows the odd index pattern, so 3+1 = 4.

Correct Answer: 32

Each successive term in the series is generated by multiplying the previous term by 2 (16 * 2 = 32).

Correct Answer: 36

The series consists of consecutive perfect squares: 2², 3², 4², 5². The next number is 6² = 36.

Correct Answer: 19

The series alternates two sequences: 8, 10, 12, 14 (adds 2) and 13, 15, 17 (adds 2). The next number in the second sequence is 17 + 2 = 19.

Correct Answer: 162

Each term is multiplied by 3. 54 * 3 = 162.

Correct Answer: 1

The series consists of the squares of odd numbers: 1^2, 3^2, 5^2, 7^2... Thus, x = 1^2 = 1.

Correct Answer: 34

The difference between terms doubles each time: +2, +4, +8, +16. 18 + 16 = 34.

Correct Answer: 25

The series 9, 16, x, 36 is 3 squared, 4 squared, 5 squared, 6 squared, so x = 25.

Correct Answer: 127

Each term doubles and adds 1 (63 x 2 + 1 = 127), so 127 comes next.

Correct Answer: 17

The series increases by 3 each time (14 + 3 = 17), so 17 comes next.

Correct Answer: 80

The series increases by 8 each time (72 + 8 = 80), so 80 comes next.

Correct Answer: 13

The differences are -3, -5, -7, -9, so the next difference is -11 and the next term is 24 - 11 = 13.

Correct Answer: 14

The series 2, 3, 5, 6, 9, 10, 11, 13 continues with 14.

Correct Answer: 27, 30

The series alternates adding 3 and 4: after 23 comes 27, then 30.

Correct Answer: 162

The series multiplies by 3 each time: 2, 6, 18, 54, then 162.

Correct Answer: 25

The series is 2 squared, 3 squared, 4 squared, then x, then 6 squared, 7 squared, 8 squared, so x is 5 squared, or 25.

Correct Answer: None of these

The progression is 1 over 1 squared, 1 over 2 squared, 1 over 3 squared, so the next term is 1 over 4 squared, or 1/16, which is not offered, so the answer is None of these.

Correct Answer: 13

This is a Fibonacci-type series where each term is the sum of the two before it: 5 plus 8 equals 13.

Correct Answer: 20

The book's own working gives 20 as the next term, with steps increasing by 2, 4, 6 and then 8.

Correct Answer: 54

The series follows +19, -8 throughout (13, 32, 24, 43, 35, 54, 46, 65, 57, 76), so 54 is the term the pattern requires where the print shows 7.

Correct Answer: 124

The series is n cubed minus 1 (0, 7, 26, 63), so the next term is 125 - 1 = 124.

Correct Answer: 342

The series falls by 42, then 40, so the next fall is 38, giving 380 - 38 = 342, then 306.

Correct Answer: 34

The series increases by 3, 2, 4, 3, 5, 4, 6, 5, then 7, 6 — so the missing term is 34.

Correct Answer: 45

The differences 2, 4, 6, 8, 10 give the next difference 12, so 33 + 12 = 45.

Correct Answer: 80

The series falls by 33 each time, so 113 - 33 = 80.

Correct Answer: 33

The differences halve each time (16, 8, 4, 2), so the next difference is 1 and the next term is 34 - 1 = 33.

Correct Answer: 35

The odd positions run 0, 3, 8, 15, 24, rising by 3, 5, 7, 9, so the next odd term is 24 + 11 = 35.

Correct Answer: 5

The series alternates adding 2, subtracting 1, adding 3, subtracting 2, adding 4, so after 2 comes 5, then 3, then 7.

Correct Answer: 18

The book keys 18 for the missing number in the printed series; the series as printed is garbled.

Correct Answer: 232

The book keys 232 for the missing number in the 341 (250) 466, 262 (?) 398 pattern.

Correct Answer: 19

Interleaving the series gives 7, 10, 14, whose differences 3 and 4 grow by one, so the next term is 14 plus 5, which is 19.

Correct Answer: 7

The book keys 7 for the missing number in the printed series 17, 2, 34, 40, 18.

Correct Answer: 22

Three consecutive even numbers summing to 60 are 18, 20 and 22, so the greatest is 22.

Correct Answer: 8, 0

The odd terms run 2, 4, 6, 8 and the even terms fall 15, 12, 7, 0, giving 8, 0.

Correct Answer: 7856

The series rises by 1,008 each time, so the next term is 6,848 + 1,008 = 7,856.

Correct Answer: 4718

The falling differences fit 4,718 between 5,242 and 4,247 in this series.

Correct Answer: 11

The series 3, 5, 7, 11, 13, 17 is the prime numbers, so the missing number is 11.

Correct Answer: 35

This paper keys 35 for the missing number in this unclear printed sequence.

Correct Answer: 31

The differences increase by 2 each time (6, 8, 10, 12, 14), so 21 + 10 = 31.

Correct Answer: 66

The differences increase by 3 each time (3, 6, 9, 12, 15, 18), so 48 + 18 = 66.

Correct Answer: 73

The differences increase by 3 each time (5, 8, 11, 14, 17), so 56 + 17 = 73.

Correct Answer: 172

The differences increase by 11 each time (11, 22, 33, 44, 55), so 117 + 55 = 172.

Correct Answer: 23

The additions alternate +2 and +4 (11 + 2 = 13, + 4 = 17, + 2 = 19, + 4 = 23, + 2 = 25), so the missing number is 23.

Correct Answer: 65

The differences double each time (2, 4, 8, 16, 32), so 33 + 32 = 65.

Correct Answer: 369

The differences triple each time (3, 9, 27, 81, 243), so 126 + 243 = 369.

Correct Answer: 101

Each term is 8 less than the previous one, so 109 - 8 = 101.

Correct Answer: 6

The subtractions shrink by 7 each time (35, 28, 21, 14, 7), so 13 - 7 = 6.

Correct Answer: 33

The subtractions grow by 4 each time (3, 7, 11, 15, 19), so 52 - 19 = 33. The printed option labels misprint (a) as "1)" and (c) as "3)"; the options are read positionally.

Correct Answer: 59

The subtractions double in size each time (3, 6, 12, 24, 48), so 107 - 48 = 59.

Correct Answer: 20

The differences are squares (0, 1, 4, 9, 16, 25), so 11 + 9 = 20. The printed series omits the comma before the blank; it is read as 6, 6, 7, 11, ?, 36, 61.

Correct Answer: 40

The differences are squares (4, 9, 16, 25, 36), so 24 + 16 = 40.

Correct Answer: 215

Each term is one less than a cube: 2^3 - 1 = 7, 3^3 - 1 = 26, 4^3 - 1 = 63, 5^3 - 1 = 124, so the next is 6^3 - 1 = 215.

Correct Answer: 129

The differences are 7, 19, 37, 61, 91, whose own differences increase by 6 (12, 18, 24, 30), so 68 + 61 = 129.

Correct Answer: 350

Each term is a cube plus its root: 2^3 + 2 = 10, 3^3 + 3 = 30, 4^3 + 4 = 68, 5^3 + 5 = 130, 6^3 + 6 = 222, so the next is 7^3 + 7 = 350.

Correct Answer: 179

Each term is doubled and then an odd number is added (x2 + 1, x2 + 3, x2 + 5, x2 + 7, x2 + 9), so 85 x 2 + 9 = 179.

Correct Answer: 120

The terms are factorials: 0! = 1, 1! = 1, 2! = 2, 3! = 6, 4! = 24, so the next is 5! = 120.

Correct Answer: 214

Each difference is twice the previous difference minus 1 (14, 27, 53, 105), so 109 + 105 = 214.

Correct Answer: 50

The differences follow x3 + 2 (3, 11, 35, 107, 323), so 15 + 35 = 50. The printed series omits the comma after the blank; it is read as 1, 4, 15, ?, 157, 480.

Correct Answer: 16/63

The numerators double (1, 2, 4, 8, 16, 32) and the denominators are one less than powers of 2 (3, 7, 15, 31, 63, 127), so the missing fraction is 16/63.

Correct Answer: 12

Two interleaved series: the odd-position terms multiply by 3 (8, 24, 72, 216) and the even-position terms divide by 3 (108, 36, 12), so the missing even-position term is 12.

Correct Answer: 13, 16

Two interleaved series, in blank order: the even-position terms increase by 3 (7, 10, 13, 16) and the odd-position terms increase by 1, then 2, then 3, then 4 (6, 7, 9, 12, 16), so the missing numbers are 13 and 16.

Correct Answer: 35

Two interleaved series, each increasing by 2: the odd-position terms are 29, 31, 33, 35 and the even-position terms are 33, 35, 37, so the next odd-position term is 35.

Correct Answer: 8

Two interleaved series: the odd-position terms increase by 1, then 2, then 3 (2, 3, 5, 8) and the even-position terms double (2, 4, 8, 16), so the missing even-position term is 8.

Correct Answer: 29

Differences increase by 1 (1,2,3,4,5,6), so next difference is 7: 22+7=29.

Correct Answer: 14

Difference of 3, so 11+3=14.