Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 - operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(6, 36, 108)
(7, 49, 147)
Option 1: (8, 32, 64)
Option 2: (4, 16, 64)
Option 3: (4, 16, 48)
Option 4: (8, 64, 96)
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Correct Answer: (4, 16, 48)
Solution :
Given:
(6, 36, 108); (7, 49, 147)
In the above-given set of numbers, the second number is the square of the first number and multiply the second number by 3 to obtain the third number.
(6, 36, 108)→6
2
= 36; 36 × 3 = 108
(7, 49, 147)→7
2
= 49; 49 × 3 = 147
Let's check the options –
First option:
(8, 32, 64)→8
2
= 64 ≠ 32; 32 × 3 = 96 ≠ 64
Second option:
(4, 16, 64)→4
2
= 16; 16 × 3 = 48 ≠ 64
Third option:
(4, 16, 48)→4
2
= 16; 16 × 3 = 48
Fourth option:
(8, 64, 96)→8
2
= 64; 64 × 3 = 192 ≠ 96
So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.
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