Question : Directions: Select the option that is related to the fifth number in the same way as the first number is related to the second number and the third number is related to the fourth number.
33 : 121 :: 27 : 81 :: 45 : ?
Option 1: 256
Option 2: 305
Option 3: 275
Option 4: 225
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Correct Answer: 225
Solution :
Given:
33 : 121 :: 27 : 81 :: 45 : ?
Divide the given term by 3 and then find the square of the resultant term.
Like, 33 : 121→33 ÷ 3 = 11 and 11
2
= 121
And, 27 : 81→27 ÷ 3 = 9 and 9
2
= 81
Similarly, follow the same pattern for 45 –
45 ÷ 3 = 15 and 15
2
= 225
So, 225 is the required term in the given number pair. Hence, the fourth option is correct.
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