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

21 441 : 462 :: 841 : ?Answer: Option [D]Solution:

As, 441 + √(441) = 441 + 21 = 462

Similarly

841 + √(841) = 841 + 29 = 870

Questions

Answer: Option [D]Solution:

As, 441 + √(441) = 441 + 21 = 462

Similarly

841 + √(841) = 841 + 29 = 870

22
3 : 81 :: 6 : ?

Answer: Option [B]

Solution:

As, 3 and 3^{4} = 81

Similarly

6 and 6^{4} = 1296

23
48 : 63 :: 24 : ?

Answer: Option [C]

Solution:

16

As, 7^{2} - 1 = 48 and 8^{2} - 1 = 63

Similarly

5^{2} - 1 = 24 and 6^{2} - 1 = 35

24
25 : 9 :: 49 : ?

Answer: Option [B]

Solution:

25 = 5^{2}, one number less than 5 is 4 and 4^{2} = 16

25 - 16 = 9 or 5^{2} - 4^{2} = 9

Similarly

49 = 7^{2}. So, 7^{2} - 6^{2} = 13

25
13 : 17 :: 23 : ?

Answer: Option [A]

Solution:

The next prime number of 13 is 17. Similarly, the next prime number of 23 is 29.

26
125 : 25 :: 64 : ?

Answer: Option [D]

Solution:

5^{3} = 125 and 5^{2} = 25

Similarly

4^{3} = 64 and 4^{2} = 16

27
3 : 33 :: ? : 3333

Answer: Option [C]

Solution:

Second number, divided by 11, gives the first number.

33 ÷ 11 = 3

Similarly

3333 ÷ 11 = 303

28
2500 : 2450 :: 3025 : ?

Answer: Option [C]

Solution:

√(2500) = 50, 2500 - 50 = 2450

Similarly, √(3025) = 55, 3025 - 55 = 2970

29
14936 : 23 :: 5498 : ?

Answer: Option [A]

Solution:

As, 14936 = 1 + 4 + 9 + 3 + 6 = 23

Similarly, 5498 = 5 + 4 + 9 + 8 = 26

30
20 : 11 :: 24 : ?

Answer: Option [D]

Solution:

(20 ÷ 2) + 1 = 11

Similarly, (24 ÷ 2) + 1 = 13