## Number Series Quiz

Directions (1-5): In the following number series, a wrong number is given. Find out that wrong number.

Q1. 2 11 38 197 1172 8227 65806

(a) 11

(b) 38

(c) 197

(d) 1172

(e) 8227

Q2. 16 19 21 30 46 71 107

(a) 19

(b) 21

(c) 30

(d) 46

(e) 71

Q3. 7 9 16 25 41 68 107 173

(a) 107

(b) 16

(c) 41

(d) 68

(e) 25

Q4. 4 2 3.5 7.5 26.25 118.125

(a) 118.125

(b) 26.25

(c) 3.5

(d) 2

(e) 7.5

Q5. 16 4 2 1.5 1.75 1.875

(a) 1.875

(b) 1.75

(c) 1.5

(d) 2

(e) 4

Direction (6-10) : What will come in place of the question mark (?) in the following number series ?

6. 13, 16, 22, 33, 51, (?)

(1) 89 (2) 78 (3) 102 (4) 69 (5) None of these

7. 39, 52, 78, 117, 169, (?)

(1) 246 (2) 182 (3) 234 (4) 256 (5) None of these

8. 656, 432, 320, 264, 236, (?)

(1) 222 (2) 229 (3) 232 (4) 223 (5) None of these

9. 62, 87, 187, 412, 812, (?)

(1) 1012 (2) 1437 (3) 1337 (4) 1457 (5) None of these

10. 7, 8, 24, 105, 361, (?)

(1) 986 (2) 617 (3) 486 (4) 1657 (5) None of these

1. Ans.(d)

Sol. The series is based on the following pattern:

11 = 2 × 3 + 5

38 = 11 × 4 – 6

197 = 38 × 5 + 7

1172 ≠ 197 × 6 – 8

1172 is wrong and it should be replaced by 197 × 6 – 8 = 1174

2. Ans.(a)

Sol. The series is based on the following pattern:

107 – 71 = 36

71 – 46 = 25

46 – 30 = 16

30 – 21 = 9

21 – 19 = 2≠4

19 should be replaced by 17 for which 21 – 17 = 4

3. Ans.(d)

Sol. The series is based on the following pattern:

16 = 9 + 7

25 = 16 + 9

41 = 25 + 16

68 ≠ 41 + 25

68 should be replaced by 66.

4. Ans.(c)

Sol. The series is based on the following pattern: ×0.5,×1.5,×2.5,×3.5,×4.5

Obviously, 3.5 Is the wrong number which should be replaced by 3.

5. Ans.(b)

Sol. The series is based on the following pattern: ×0.25,×0.5,×0.75,×1,×1.25

Obviously, 1.75 is the wrong number which should be replaced by 1.5.

6. pattern of the number series is : 13 + 3 = 16 16 + (3 + 3) = 22 22 + (6 = 5) = 33 33 + (11 + 7) = 51 51 + (18 + 9) = 78

7. (3) The pattern of the number series is : 39 + (13 × 1) = 52 52 + (13 × 2) = 78 78 + (13 × 3) = 117 117 + (13 × 4) = 169 169 + (13 × 5) = 234

8. (1) The pattern of the number series is : 656 – 224 = 432 432 – (224 ÷ 2) = 320 320 – (112 ÷ 2) = 264 264 – (56 ÷ 2) = 234 236 – (28 ÷ 2) = 222

9. (2) The pattern of the number series is : 62 + (25 × 1) = 87 87 + (25 × 22) = 187 187 + (25 × 32) = 412 412 + (25 × 42) 812 812 + (25 × 52) = 1437

10. (1) The pattern of the number series is : 7 + (1)2 = 8 8 + (1 + 3)2 = 24 24 + (4 + 5)2 = 105 105 + (9 + 7)2 = 361 361 + (16 + 9)2 = 986