Number Analogy Questions

Question 1:

8 : 81 : : 64 : ?

Answer:

625

Solution:

As,

(2)³ : (2+1)⁽³⁺¹⁾

= (2)³ : (3)⁴

=8 : 81

Similarly,

(4)³ : (4+1)⁽³⁺¹⁾

= (4)³ : (5)⁴

=64 : 625

Question 2:

9 : 8 : : 16 : ?

Answer:

27

Solution:

As,

(3)² : (3-1)⁽²⁺¹⁾

= (3)² : (2)³

=9 : 8

Similarly,

(4)² : (4-1)⁽²⁺¹⁾

= (4)² : (3)³

=16 : 27

Question 3:

85:40::78:?

Answer:

56

Solution:

As,

85=8*5=40

Similarly,

78=7*8=56

Question 4:

42:56::110:?

Answer:

132

Solution:

As,

6*7=42 : 7*8=56

(6,7,8)=(a,b,c) so, a*b=b*c i.e. 42:56

Similarly,

10*11 = 110 : 11*12 = 132

(10,11,12)=(a,b,c) so, a*b=b*c i.e. 11:132

Question 5:

48:122::168:?

Answer:

downpour

Solution:

As,

48+1=49=7²=perfect square

122-1=121=11²=perfect square

Here, 7+4=11

Similarly,

168+1=169=13²=perfect square

So, 13+4=17

So, 17²=289=perfect square

So, 289+1=290

To understand,

168+1=169=13²=perfect square

290-1=289=17²=perfect square

So, 13+4=17