### Select the related numbers from the given alternatives.

31 7 : 56 :: 9 : ?Answer: Option [C]Solution:

As, 7 and 7^{2} + 7 = 56

Similarly

9 and 9^{2} + 9 = 90

Questions

Answer: Option [C]Solution:

As, 7 and 7^{2} + 7 = 56

Similarly

9 and 9^{2} + 9 = 90

32
12 : 30 :: 18 : ?

Answer: Option [A]

Solution:

As, 12 and 12 × 2 + 6 = 30

Similarly

18 and 18 × 2 + 6 = 42

33
85 : 40 :: 78 : ?

Answer: Option [D]

Solution:

16

As, 85 → 8 × 5 = 40

Similarly

78 → 7 × 8 = 56

34
08 : 66 :: ? : 38

Answer: Option [B]

Solution:

66 - 2 = 64 → √(64) = 8

Similarly

38 - 2 = 36 → √(36) = 6

35
32 : 21 :: 35 : ?

Answer: Option [A]

Solution:

As, 32 ⇒ 23 ⇒ 23 - 2 = 21

Similatly, 35 ⇒ 53 ⇒ 53 - 2 = 51

36
36 : 144 :: 49 : ?

Answer: Option [C]

Solution:

As, 6^{2} = 36

6 × 2 = 12 ⇒ 12^{2} = 144

Similarly

7^{2} = 49

7 × 2 = 14 ⇒ 14^{2} = 196

37
53 : 15 :: 43 : ?

Answer: Option [B]

Solution:

53 : 15 ⇒ 5 × 3 = 15

Similarly

43 : 12 ⇒ 4 × 3 = 12

38
5 : 100 :: 7 : ?

Answer: Option [D]

Solution:

As, 5 and 5^{2} × 4 = 100

Similarly, 7 and 7^{2} × 4 = 196

39
16 : 22 :: 36 : ?

Answer: Option [C]

Solution:

As, 4^{2} = 16 and 5^{2} - 3 = 22

Similarly, 6^{2} = 36 and 7^{2} - 3 = 46

40
6 : 17 :: 9 : ?

Answer: Option [A]

Solution:

As, 6 and 6 × 3 - 1 = 17

Similarly, 9 and 9 × 3 - 1 = 26

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