Question : Directions: Select the option that is related to the fourth term in the same way as the first term is related to the second term and the fifth term is related to the sixth term.
16 : 96 :: ? : 161 :: 18 : 120
Option 1: 22
Option 2: 21
Option 3: 20
Option 4: 24
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Correct Answer: 21
Solution :
Given:
16 : 96 :: ? : 161 :: 18 : 120
16 : 96→{16 × (16 + 2)} ÷ 3 = {16 × 18} ÷ 3 = 288 ÷ 3 = 96
18 : 120→{18 × (18 + 2)} ÷ 3 = {18 × 20} ÷ 3 = 360 ÷ 3 = 120
Now, let's check the given options –
First option:
22→{22 × (22 + 2)} ÷ 3 = {22 × 24} ÷ 3 = 528 ÷ 3 = 176
≠ 161
Second option:
21→{21 × (21 + 2)} ÷ 3 = {21 × 23} ÷ 3 = 483 ÷ 3 = 161
Third option:
20→{20 × (20 + 2)} ÷ 3 = {20 × 22} ÷ 3 = 440 ÷ 3 = 146.67
≠ 161
Fourth option:
24→{24 × (24 + 2)} ÷ 3 = {24 × 26} ÷ 3 = 624 ÷ 3 = 208
≠ 161
So, 21 is related to 161 in the same way as the first term is related to the second term and the fifth term is related to the sixth term. Hence, the second option is correct.
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