Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets.
(NOTE: Operations should be performed on 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.)
(22, 44, 8)
(32, 48, 6)
Option 1: (36, 64, 7)
Option 2: (42, 63, 6)
Option 3: (56, 128, 9)
Option 4: (48, 98, 8)
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Correct Answer: (42, 63, 6)
Solution :
Given:
(22, 44, 8); (32, 48, 6)
Multiply the first and third numbers and divide by 4 to obtain the second number in the given set of numbers –
⇒ (22, 44, 8)→(22 × 8) ÷ 4 = 176 ÷ 4 = 44
⇒ (32, 48, 6)→(32 × 6) ÷ 4 = 192 ÷ 4 = 48
Let's check the options –
First option:
(36, 64, 7)→(36 × 7) ÷ 4 = 252 ÷ 4 = 63 ≠ 64
Second option:
(42, 63, 6)→(42 × 6) ÷ 4 = 252 ÷ 4 = 63
Third option:
(56, 128, 9)→(56 × 9) ÷ 4 = 504 ÷ 4 = 126 ≠ 128
Fourth option:
(48, 98, 8)→(48 × 8) ÷ 4 = 384 ÷ 4 = 96 ≠ 98
So, only the second option follows the same pattern as followed by the given set of numbers. Hence, the second option is correct.
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