# Reasoning – Number Series MCQ-1

Q 1. **1, 9, 25, 49, ?, 121. What will come at the place of question mark ?
**

A) 100

B) 91

C) 64

D) 81

Answer:** Option D**

Solution:

12 = 1.

32 = 9.

52 = 25.

72 = 49.

92 = 81.

112 = 121.

Q 2. **4, 7, 12, 19, 28, ?
**

A) 49

B) 36

C) 30

D) 39

Answer:** Option D**

Solution:

First term,

4

Second,

4+3 = 7.

Third,

7+5 = 12.

Fourth,

12+7 = 19.

Fifth,

19+9 = 28.

Therefore,

28+11 = 39 will be the required term.

Q 3. **6, 11, 21, 36, 56, ?
**

A) 91

B) 51

C) 81

D) 42

Answer:** Option C**Q 4. **10, 100, 200, 310, ?
**

A) 430

B) 420

C) 410

D) 400

[show_answer]Answer:

**Option A**

Solution:

1st term : 10

2nd term : 100 = 10+90

3rd term : 200 = 100+100

4th term : 310 = 200+110

5th Term: 430 = 310+120

Therefore, the answer is 430.

Q 5. **8, 28, 116, 584, ?
**

A) 1752

B) 3504

C) 3508

D) 3502

Answer:** Option C**

Solution:

(8 *3) + 4 = 28

(28 *4) + 4 = 116

(116 *5) + 4 = 584

(584 *6) + 4 = 3508.

Q 6. **3, 7, 23, 95, ?
**

A) 62

B) 128

C) 479

D) 575

Answer:** Option C**

Solution:

1st number = 3

2nd number = 3 x 2 +1 = 7

3rd number = 7 x 3 + 2 = 23

4th number = 23 x 4 + 3 = 95

5th number = 95 x 5 + 4 = 479

Q 7. **7, 26, 63, 124, 215, 342, ?
**

A) 391

B) 511

C) 481

D) 421

Answer:** Option B**

Solution:

The terms are given in a series

(23 -1) = 7

(33 -1) = 26

(43 -1) = 63

(53 -1) = 124

(63 -1) = 215

(73 -1) = 342

So, the missing term is,

(83 -1) = 511.

Q 8. **165, 195, 255, 285, 345, ?**

A) 390

B) 420

C) 435

D) 375

E) Two answer out of four option

Answer:** Option E**

Solution:

Solution 1:

Each number of given series is 15 multiplied by a prime number.

15*11, 15*13, 15*17, 15*19, 15*23.

So, Missing number is

15*29 = 435.

Solution 2:

This pattern is +30 and then +60 also follow for the give series.

165+30=195,

195+60=255,

255+30=285,

285+60=345,

345+30=375

Q 9. **34, 45, 56, 67…….
**

A) 78

B) 73

C) 82

D) 84

Answer:** Option A**Q 10. **3, 2, 7, 6, 11, ?
**

A) 8

B) 10

C) 4

D) 2

[show_answer]Answer:

**Option B**

Solution:

2nd number is less by 1 than the 1st number and 3rd number is more by 5 than the 2nd number. The same rule follows in other numbers of the series.

Q 11. **In the following number series a wrong number is given. Find out the wrong number.
150, 450, 750, 1060,1350,1650,1950
**

A) 1060

B) 1950

C) 450

D) 1350

E) 750

Answer:** Option A**

Solution:

By adding 300 to each term, we get the next term. 1060 is wrong term. It should be 1050.

Q 12. **5690, 5121, 4552, 3983, 3414, 2845, ?
**

A) 2276

B) 2516

C) 2356

D) 2456

Answer:** Option A**

Solution:

By subtracting 569, we get the next term.

Required number,

= 2845-569

= 2276.

Q 13. **6, 13, 28, 59, ?, 249.
**

A) 124

B) 122

C) 120

D) 118

Answer:** Option B**Q 14. **4, 8, 10, 14, 16, 20, ?
**

A) 22

B) 21

C) 20

D) 16

[show_answer]Answer:

**Option A**

Solution:

Above series contains two sub-series in it.

4, 10, 16, 22

8, 14, 20

Each of both term there is difference of 6 i.e. next term is 6 greater than previous term.

Q 15. **9, 17, 33, 65, ? **

A) 117

B) 119

C) 129

D) 99

Answer:** Option C**Q 16. **2, 3, 6, 15, ?, 123
**

A) 47

B) 42

C) 45

D) 50

[show_answer]Answer:

**Option B**Q 17.

**In the following number series a wrong number is given. Find out the wrong number.**

1, 3, 10, 21, 64, 129, 356, 777

1, 3, 10, 21, 64, 129, 356, 777

A) 129

B) 21

C) 10

D) 356

[show_answer]Answer:

**Option D**Q 18.

**9, 27, 31, 155, 161, 1127, ?**

A) 316

B) 1135

C) 1288

D) 2254

[show_answer]Answer:

**Option B**</show_answer]

Q 19. **2, 7, 27, 107, 427, ?
**

A) 1262

B) 1707

C) 4027

D) 4207

[show_answer]Answer:

**Option B**</show_answer]

Q 20. **Sunday, Monday, Wednesday, Saturday, Wednesday, Monday, …..**

A) Sunday, Sunday

B) Sunday, Monday

C) Sunday, Wednesday

D) Sunday, Saturday

[show_answer]Answer:** Option A**Solution: Sunday to Monday = no gap

Monday to Wednesday = One day gap.

Wednesday to Saturday = Two days gap.

Saturday to Wednesday = Three days gap.

Wednesday to Monday = Four days gap.

In the next term there must be five days and six days gap.

So, Next term would be Sunday, Sunday.

Q 21. **2816, ? , 176, 44, 11.
**

A) 704

B) 1408

C) 352

D) 2640

Answer:** Option A**

Solution:

Logic: Next term = Previous term /4

2816 /4 = 704

704 /4 = 176.

176 /4 = 44.

44 /4 = 11.

Q 22. **113, 225, 449, ? , 1793
**

A) 897

B) 789

C) 987

D) 978

Answer:** Option A**

Solution:

113

113 * 2 = 226 -1 = 225

225 * 2 = 450 -1 = 449

449 * 2 = 898 – 1 = 897

897 * 2 = 1794 -1 = 1793

Q 23. **Which of the following will come in place of the question mark (?) in the following sequence?**

PRODUCTIVITY, RODUCTIVIT, ODUCTIVI, ?

A) DUCTIV

B) DUCTLY

C) UCTIV

D) DUCTI

Answer:** Option A**

Solution:

PRODUCTIVITY = RODUCTIVIT.(Bold letters are removed.)

RODUCTIVIT = ODUCTIVI.

ODUCTIVI = DUCTIV.

Q 24. **6, 24, 60,120, 210, ?
**

A) 336

B) 366

C) 330

D) 660

Answer:** Option A**

Solution:

First Number = 1 *2 *3 = 6

Second Number = 2*3*4 = 24

Third Number = 3*4*5 = 60

Fourth Number = 4*5*6 = 120

Fifth Number = 5*6*7 = 210

Sixth Number = 6*7*8 = 336.

Alternatively,

2*2*2-2=6

3*3*3-3=24

4*4*4-4=60

5*5*5-5=120

6*6*6-6=210

7*7*7-7=336.

Q 25. **6, 11, 31, 121, 601, ?
**

A) 3600

B) 3621

C) 3601

D) 3611

Answer:** Option C**

Solution:

Logic:

First Term = 6.

Second term = 6*2 -1 = 11.

Third term = 11* 3 – 2 = 31.

Fourth term = 31 *4 – 3 = 124 -3 = 121.

Fifth term = 121*5 – 4 = 601.

Sixth term = 601 *6 = 3606 – 5 = 3601.

Q 26. **7, 11, 19, 35, 67, ?**

A) 99

B) 131

C) 137

D) 124

Answer:** Option B**

Solution:

Logic:

Last Term *2 – 3 = Next Term.

First Term = 7.

Second Term = 7 *2 -3 = 11.

Third Term = 11 *2 – 3 = 19.

Fourth Term = 19 *2 – 3 = 35.

Fifth Term = 35 *2 – 3 = 67.

Sixth Term = 67 *2 -3 = 131.

Q 27. **8, 22, 64, 190, 568, ?**

A) 1702

B) 7767

C) 6992

D) 6913

Answer:** Option A**

Solution:

Logic:

Previous Term *3 – 2 = Next term.

First Term = 8.

Second term = 8 *3 – 2 = 24 -2 = 22.

Third term = 22 *3 -2 = 64.

Fourth term = 64 *3 -2 = 190.

Fifth Term = 190 *3 – 2 = 568.

Sixth Term = 568 *3 -2 = 1704 -2 = 1702.

Q 28. **5760,2880,960, 240, 48, ?
**

A) 6

B) 8

C) 12

D) 16

Answer:** Option B**

Solution:

First Term = 5760.

Second term = 5760 /2 = 2880.

Third Term = 2880/3 = 960.

Fourth term = 960/4 = 240.

Fifth term = 240/5 = 48.

So,

Required term = 48/6 = 8.

Q 29. **2, 1, (1/2), (1/4), … What number should come next?**

A) (1/3)

B) (1/8)

C) (2/8)

D) (1/16)

Answer:** Option B**

Solution:

This is a simple division series; each number is one-half of the previous number.

In other terms to say, the number is divided by 2 successively to get the next result.

4/2 = 2

2/2 = 1

1/2 = 1/2

(1/2)/2 = 1/4

(1/4)/2 = 1/8 and so on.

Q 30. **7, 10, 8, 11, 9, 12, … What number should come next?**

A) 7

B) 10

C) 12

D) 13

Answer:** Option B**

Solution:

This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.

Q 31. **36, 34, 30, 28, 24, … What number should come next?**

A) 20

B) 22

C) 23

D) 26

Answer:** Option B**

Solution:

This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on.

Q 32. **22, 21, 23, 22, 24, 23, … What number should come next?**

A) 22

B) 24

C) 25

D) 26

Answer:** Option C**

Solution:

In this simple alternating subtraction and addition series; 1 is subtracted, then 2 is added, and so on.

Q 33. **53, 53, 40, 40, 27, 27, … What number should come next?**

A) 12

B) 14

C) 27

D) 53

Answer:** Option B**

Solution:

In this series, each number is repeated, then 13 is subtracted to arrive at the next number.

Q 34. **21, 9, 21, 11, 21, 13, 21, … What number should come next?**

A) 14

B) 15

C) 21

D) 23

Answer:** Option B**

Solution:

In this alternating repetition series, the random number 21 is interpolated every other number into an otherwise simple addition series that increases by 2, beginning with the number 9.

Q 35. **58, 52, 46, 40, 34, … What number should come next?**

A) 26

B) 28

C) 30

D) 32

Answer:** Option B**

Solution:

This is a simple subtraction series. Each number is 6 less than the previous number.

Q 36. **3, 4, 7, 8, 11, 12, … What number should come next?**

A) 7

B) 10

C) 14

D) 15

Answer:** Option D**

Solution:

This alternating addition series begins with 3; then 1 is added to give 4; then 3 is added to give 7; then 1 is added, and so on.

Q 37. **8, 22, 8, 28, 8, … What number should come next?**

A) 9

B) 29

C) 32

D) 34

Answer:** Option D**

Solution:

This is a simple addition series with a random number, 8, interpolated as every other number. In the series, 6 is added to each number except 8, to arrive at the next number.

Q 38. **31, 29, 24, 22, 17, … What number should come next?**

A) 15

B) 14

C) 13

D) 12

Answer:** Option A**

Solution:

This is a simple alternating subtraction series, which subtracts 2, then 5.

Q 39. **1.5, 2.3, 3.1, 3.9, … What number should come next?**

A) 4.2

B) 4.4

C) 4.7

D) 5.1

Answer:** Option C**

Solution:

In this simple addition series, each number increases by 0.8.

Q 40. **14, 28, 20, 40, 32, 64, … What number should come next?**

A) 52

B) 56

C) 96

D) 128

Answer:** Option B**

Solution:

This is an alternating multiplication and subtracting series: First, multiply by 2 and then subtract 8.

Q 41. **2, 4, 6, 8, 10, … What number should come next?**

A) 11

B) 12

C) 13

D) 14

Answer:** Option B**

Solution:

This is a simple addition series. Each number increases by 2.

Q 42. **201, 202, 204, 207, … What number should come next?**

A) 205

B) 208

C) 210

D) 211

Answer:** Option D**

Solution:

In this addition series, 1 is added to the first number; 2 is added to the second number; 3 is added to the third number; 4 is added to the fourth number; and go on.

Q 43. **544, 509, 474, 439, … What number should come next?**

A) 404

B) 414

C) 420

D) 445

Answer:** Option A**

Solution:

This is a simple subtraction series. Each number is 35 less than the previous number.

Q 44. **80, 10, 70, 15, 60, … What number should come next?**

A) 20

B) 25

C) 30

D) 50

Answer:** Option A**

Solution:

This is an alternating addition and subtraction series. In the first pattern, 10 is subtracted from each number to arrive at the next. In the second, 5 is added to each number to arrive at the next.

Q 45. **2, 6, 18, 54, … What number should come next?**

A) 108

B) 148

C) 162

D) 216

Answer:** Option C**

Solution:

This is a simple multiplication series. Each number is 3 times more than the previous number.

Q 46. **5.2, 4.8, 4.4, 4, … What number should come next?**

A) 3

B) 3.3

C) 3.5

D) 3.6

Answer:** Option D**

Solution:

In this simple subtraction series, each number decreases by 0.4.

Q 47. **8, 6, 9, 23, 87 , … What number should come next?**

A) 128

B) 226

C) 324

D) 429

Answer:** Option D**

Solution:

8 x 1 – 2 = 6

6 x 2 – 3 = 9

9 x 3 – 4 = 23

23 x 4 – 5 = 87

87 x 5 – 6 = 429 …

Q 48. **28, 25, 5, 21, 18, 5, 14, … choose which pair of numbers comes next?**

A) 11, 5

B) 10, 7

C) 11, 8

D) 5, 10

E) 10, 5

Answer:** Option A**

Solution:

This is an alternating subtraction series with the interpolation of a random number, 5, as every third number. In the subtraction series, 3 is subtracted, then 4, then 3, and so on.

Q 49. **8, 11, 21, 15, 18, 21, 22, … choose which pair of numbers comes next?**

A) 25, 18

B) 25, 21

C) 25, 29

D) 24, 21

E) 22, 26

Answer:** Option B**

Solution:

This is an alternating addition series, with a random number, 21, interpolated as every third number. The addition series alternates between adding 3 and adding 4. The number 21 appears after each number arrived at by adding 3.

Q 50. **9, 16, 23, 30, 37, 44, 51, … choose which pair of numbers comes next?**

A) 59, 66

B) 56, 62

C) 58, 66

D) 58, 65

E) 54, 61

Answer:** Option D**

Solution:

Here is a simple addition series, which begins with 9 and adds 7.

Q 51. **2, 8, 14, 20, 26, 32, 38, … choose which pair of numbers comes next?**

A) 2, 46

B) 44, 50

C) 42, 48

D) 40, 42

E) 32, 26

Answer:** Option B**

Solution:

This is a simple addition series, which begins with 2 and adds 6.

Q 52. **9, 11, 33, 13, 15, 33, 17, … choose which pair of numbers comes next?**

A) 19, 33

B) 33, 35

C) 33, 19

D) 15, 33

E) 19, 21

Answer:** Option A**

Solution:

In this alternating repetition series, a random number, 33, is interpolated every third number into a simple addition series, in which each number increases by 2.

Q 53. **2, 3, 4, 5, 6, 4, 8, … choose which pair of numbers comes next?**

A) 9, 10

B) 4, 8

C) 10, 4

D) 9, 4

E) 8, 9

Answer:** Option D**

Solution:

This is an alternating addition series with a random number, 4, interpolated as every third number. In the main series, 1 is added, then 2 is added, then 1, then 2, and so on.

Q 54. **17, 17, 34, 20, 20, 31, 23, … choose which pair of numbers comes next?**

A) 26, 23

B) 34, 20

C) 23, 33

D) 27, 28

E) 23, 28

Answer:** Option E**

Solution:

This is an alternating subtraction series with repetition. There are two different patterns here. In the first, a number repeats itself; then 3 is added to that number to arrive at the next number, which also repeats. This gives the series 17, 17, 20, 20, 23, and so on. Every third number follows a second pattern, in which 3 is subtracted from each number to arrive at the next: 34, 31, 28.

Q 55. **6, 20, 8, 14, 10, 8, 12, … choose which pair of numbers comes next?**

A) 14, 10

B) 2, 18

C) 4, 12

D) 2, 14

E) 14, 14

Answer:** Option D**

Solution:

This is an alternating addition and subtraction series. In the first pattern, 2 is added to each number to arrive at the next; in the alternate pattern, 6 is subtracted from each number to arrive at the next.

Q 56. **21, 25, 18, 29, 33, 18, … choose which pair of numbers comes next?**

A) 43, 18

B) 41, 44

C) 37, 18

D) 37, 41

E) 38, 41

Answer:** Option D**

Solution:

This is a simple addition series with a random number, 18, interpolated as every third number. In the series, 4 is added to each number except 18, to arrive at the next number.

Q 57. **75, 65, 85, 55, 45, 85, 35, … choose which pair of numbers comes next?**

A) 25, 15

B) 25, 85

C) 35, 25

D) 85, 35

E) 25, 75

Answer:** Option B**

Solution:

This is a simple subtraction series in which a random number, 85, is interpolated as every third number. In the subtraction series, 10 is subtracted from each number to arrive at the next.

Q 58. **11, 16, 21, 26, 31, 36, 41, … choose which pair of numbers comes next?**

A) 47, 52

B) 46, 52

C) 45, 49

D) 46, 51

E) 33, 38

Answer:** Option D**

Solution:

In this simple addition series, each number is 5 more than the previous number.

Q 59. **3, 8, 13, 18, 23, 28, 33, … choose which pair of numbers comes next?**

A) 39, 44

B) 38, 44

C) 38, 43

D) 37, 42

E) 33, 38

Answer:** Option C**

Solution:

In this simple addition series, each number is 5 greater than the previous number.

Q 60. **84, 78, 72, 66, 60, 54, 48, … choose which pair of numbers comes next?**

A) 44, 34

B) 42, 36

C) 42, 32

D) 40, 34

E) 38, 32

Answer:** Option B**

Solution:

In this simple subtraction series, each number is 6 less than the previous number.

Q 61. **20, 20, 17, 17, 14, 14, 11, … choose which pair of numbers comes next?**

A) 8, 8

B) 11, 11

C) 11, 14

D) 8, 9

E) 11, 8

Answer:** Option E**

Solution:

This is a simple subtraction with repetition series. It begins with 20, which is repeated, then 3 is subtracted, resulting in 17, which is repeated, and so on.

Q 62. **61, 57, 50, 61, 43, 36, 61, … choose which pair of numbers comes next?**

A) 29, 61

B) 27, 20

C) 31, 61

D) 22, 15

E) 29, 22

Answer:** Option E**

Solution:

This is an alternating repetition series, in which a random number, 61, is interpolated as every third number into an otherwise simple subtraction series. Starting with the second number, 57, each number (except 61) is 7 less than the previous number.

Q 63. **9, 12, 11, 14, 13, 16, 15, … choose which pair of numbers comes next?**

A) 14, 13

B) 18, 21

C) 14, 17

D) 12, 13

E) 18, 17

Answer:** Option E**

Solution:

This is a simple alternating addition and subtraction series. First, 3 is added, then 1 is subtracted, then 3 is added, 1 subtracted, and so on.

Q 64. **4, 8, 22, 12, 16, 22, 20, 24, … choose which pair of numbers comes next?**

A) 28, 32

B) 28, 22

C) 22, 28

D) 32, 36

E) 22, 26

Answer:** Option C**

Solution:

This is an alternating repetition series, with a random number, 22, interpolated as every third number into an otherwise simple addition series. In the addition series, 4 is added to each number to arrive at the next number.

Q 65. **40, 40, 31, 31, 22, 22, 13, … choose which pair of numbers comes next?**

A) 13, 4

B) 13, 5

C) 4, 13

D) 9, 4

E) 4, 4

Answer:** Option A**

Solution:

This is a subtraction series with repetition. Each number repeats itself and then decreases by 9.

Q 66. **1, 10, 7, 20, 13, 30, 19, … choose which pair of numbers comes next?**

A) 26, 40

B) 29, 36

C) 40, 25

D) 25, 31

E) 40, 50

Answer:** Option C**

Solution:

Here, every other number follows a different pattern. In the first series, 6 is added to each number to arrive at the next. In the second series, 10 is added to each number to arrive at the next.

Q 67. **10, 20, 25, 35, 40, 50, 55, … choose which pair of numbers comes next?**

A) 70, 65

B) 60, 70

C) 60, 75

D) 60, 65

E) 65, 70

Answer:** Option E**

Solution:

This is an alternating addition series, in which 10 is added, then 5, then 10, and so on.

Q 68. **42, 40, 38, 35, 33, 31, 28, … choose which pair of numbers comes next?**

A) 25, 22

B) 26, 23

C) 26, 24

D) 25, 23

E) 26, 22

Answer:** Option C**

Solution:

This is an alternating subtraction series in which 2 is subtracted twice, then 3 is subtracted once, then 2 is subtracted twice, and so on.

Q 69. **6, 10, 14, 18, 22, 26, 30, … choose which pair of numbers comes next?**

A) 36, 40

B) 33, 37

C) 38, 42

D) 34, 36

E) 34, 38

Answer:** Option E**

Solution:

This simple addition series adds 4 to each number to arrive at the next.

Q 70. **8, 12, 9, 13, 10, 14, 11, … choose which pair of numbers comes next?**

A) 14, 11

B) 15, 12

C) 8, 15

D) 15, 19

E) 8, 5

Answer:** Option B**

Solution:

This is an alternating addition and subtraction series, in which the addition of 4 is alternated with the subtraction of 3.