### Select the related numbers/letters/words from the given alternatives.

1 3 : 81 :: 6 : ?Answer: Option [D]Solution:

As, 3^{4} = 81

Similarly, 6^{4} = 1296

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Questions

Answer: Option [D]Solution:

As, 3^{4} = 81

Similarly, 6^{4} = 1296

2
441 : 462 :: 841 : ?

Answer: Option [C]

Solution:

441 = 21^{2}

462 = 441 + 21

841 = 29^{2}

870 = 841 + 29

4
35 : 53 :: 56 : ?

Answer: Option [C]

Solution:

To interchange the digit of the number we have found

35 → 53

56 → 65

5
14 : 195 :: 21 : ?

Answer: Option [B]

Solution:

As, 14^{2} - 1 = 195

Similarly, 21^{2} - 1 = 440

6
213 : 300 :: 170 : ?

Answer: Option [D]

Solution:

As, 213 + 87 = 300

Similarly, 170 + 87 = 257

7
5 : 130 :: ? : 1010

Answer: Option [A]

Solution:

As, 5^{3} + 5 = 130

Similarly, 10^{3} + 10 = 1010

8
43 : 1 :: 52 : ?

Answer: Option [C]

Solution:

As, 43 : 1 ⇒ 4 - 3 = 1

Similarly, 52 : 3 ⇒ 5 - 2 = 3

9
176 : 14936 :: 549 : ?

Answer: Option [D]

Solution:

As, 176 ⇒ 1^{2} | 7^{2} | 6^{2} = 14936

Similarly, 549 ⇒ 5^{2} | 4^{2} | 9^{2} = 251681

10
20 : 7980 :: 12 : ?

Answer: Option [B]

Solution:

As, 20^{3} - 20 = 7980

Similarly, 12^{3} - 12 = 1716

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