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.)
(25, 13, 130)
(49, 32, 448)
Option 1: (36, 12, 144)
Option 2: (16, 48, 196)
Option 3: (64, 16, 96)
Option 4: (100, 10, 1000)
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Correct Answer: (36, 12, 144)
Solution :
Given:
(25, 13, 130); (49, 32, 448)
Multiply twice the second number with the square root of the first number, to get the third number –
(25, 13, 130)→
(√
25) × 13 × 2 = 5 × 13 × 2 = 130
(49, 32, 448)→
(√
49) × 32 × 2 = 7 × 32 × 2 = 448
Let's check the options –
First option:
(36, 12, 144)→
(√
36) × 12 × 2 = 6 × 12 × 2 = 144
Second option:
(16, 48, 196)→
(√
16) × 48 × 2 = 4 × 48 × 2 = 384 ≠ 196
Third option:
(64, 16, 96)→
(√
64) × 16 × 2 = 8 × 16 × 2 = 256 ≠ 96
Fourth option:
(100, 10, 1000)→
(√
100) × 10 × 2 = 10 × 10 × 2 = 200 ≠ 1000.
So, only the first option follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.
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