Reasoning - Questions on Figure Series
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Which number will come in the place of question mark (?)

1.

(a) 5
(b) 15
(c) 11
(d) 25
Answer (a). Sum of the squares of the numbers in the first 2 circles is equal to the square of the number in the below circle. 3²+ 4²= 5² and 6²+ 8²= 10². Similarly 12²+ 5²= 13².

2.

(a) 21
(b) 11
(c) 12
(d) 5
Answer (c). First figure 5²- 4²= 3², Second figure 13² - 5²= 12². Similarly 15² - 9²= 12².

3.

(a) 729
(b) 927
(c) 829
(d) 982
Answer (a). 4+3=7, 7³=343. 4+4=8, 8³=512. Therefore 4+5=9, 9³=729

4.

(a) 45
(b) 4
(c) 12
(d) 23
Answer (c). From first figure 6+5=11, 11x2=22. Second figure 8+7=15, 15x2=30. Similarly 12+11=23, 23x2=46.

5.

(a) 3
(b) 1
(c) 9
(d) 7
Answer (a). Sum of the numbers in all the figures is equal to 10. Therefore the missing number in the third figure is 10 - 7 = 3.

6.

(a) 16
(b) 22
(c) 21
(d) 23
Answer (d). All the numbers here are all prime. The next prime number in the series is 23.

7.

(a) 21
(b) 12
(c) 14
(d) 25
Answer (a). First figure 4 + 5 = 9, √9 = 3. Second figure 7 + 9 = 16, √16 = 4. Third figure 7² = 49, 49 - 28 = 21.

8.

(a) 21
(b) 5
(c) 7
(d) 12
Answer (d). First figure 9 - 5 = 4; 4 x 2 = 8. Second figure 17 - 11 = 6; 6 x 2 = 12. 19 - 12 = 7; 7 x 2 = 14.

9.

(a) 5
(b) 4
(c) 9
(d) 11
Answer (b). Sum of all the numbers in the figures is 15. Therefore 8+3+x=15; x=15-11; x=4.

10.

(a) 26
(b) 25
(c) 19
(d) 31
Answer (a). The numbers increase by 3 from the first number 2. 2, 5, 8, 11, 14, 17, 20, 23, 26

11.

(a) 4
(b) 2
(c) 52
(d) 53
Answer (d). First figure 19 - 17 = 2; 2 x 3 = 6, second figure 33 - 31 = 2, 2 x 4 = 8, therefore in the third figure 53 - 51 = 2, 2 x 5 = 10.

12.

(a) 54
(b) 38
(c) 64
(d) 48
Answer (c). First figure 2^{4} = 16, Second figure 2^{5} = 32, Third figure 2^{6} = 64.

13.

(a) 685
(b) 865
(c) 597
(d) 342
Answer (a). First figure 13² + 14² = 365, second figure 15² + 16² = 481. Finally the third figure 18² + 19² = 685.

14.

(a) 196
(b) 219
(c) 221
(d) 289
Answer (c). The sequence in the figures is 11 x 15 = 165, 12 x 16 = 192 and 13 x 17 = 221.

15.

(a) 15
(b) 50
(c) 20
(d) 25
Answer (d). The series is (5^{2} ) ÷ 1 = 25, (6^{2} ) ÷ 2 = 18, 10^{2} ) ÷ 4 = 25.