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Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.
5 : 45 :: 3 : 3 :: 6 : ?
Option 1: 90
Option 2: 106
Option 3: 110
Option 4: 96
Answer (1)
Correct Answer: 96
Solution :
Given:
5 : 45 :: 3 : 3 :: 6 : ?
Like, 5 : 45→5 × (5 – 2)
2
= 5 × (3)
2
= 5 × 9 = 45
3 : 3→3 × (3 – 2)
2
= 3 × (1)
2
= 3 × 1 = 3
Similarly, follow the same pattern for 6 : ?→6 × (6 – 2)
2
= 6 × (4)
2
= 6 × 16 = 96
So, 96 is related to 6. Hence, the fourth option is correct.
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