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 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.)
(27, 21, 16)
(24, 33, 19)
Option 1: (25, 21, 13)
Option 2: (36, 15, 17)
Option 3: (42, 18, 21)
Option 4: (32, 14, 7)
Correct Answer: (36, 15, 17)
Solution :
Given:
(27, 21, 16); (24, 33, 19)
Add the first two numbers, and then divide the resultant by 3, to get the third number –
⇒ (27, 21, 16)→(27 + 21) ÷ 3 = 48 ÷ 3 = 16
⇒ (24, 33, 19)→(24 + 33) ÷ 3 = 57 ÷ 3 = 19
Let's check each option –
First option:
(25, 21, 13)→(25 + 21) ÷ 3 = 46 ÷ 3 = 15.34 ≠ 13
Second option:
(36, 15, 17)→(36 + 15) ÷ 3 = 51 ÷ 3 = 17
Third option:
(42, 18, 21)→(42 + 18) ÷ 3 = 60 ÷ 3 = 20 ≠ 21
Fourth option:
(32, 14, 7)→(32 + 14) ÷ 3 = 46 ÷ 3 = 15.34 ≠ 7
So, only the second option follows the same pattern as the given number pair. Hence, the second option is correct.
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