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)
(243, 81, 27); (99, 33, 11)
Option 1: (27, 25, 23)
Option 2: (27, 9, 3)
Option 3: (27, 20, 19)
Option 4: (27, 18, 9)
Correct Answer: (27, 9, 3)
Solution :
Given:
(243, 81, 27); (99, 33, 11)
Divide the first number by three, to get the second number and divide the second number by three, to get the third number.
(243, 81, 27)→243 ÷ 3 = 81; 81 ÷ 3 = 27
(99, 33, 11)→99 ÷ 3 = 33; 33 ÷ 3 = 11
Let's check the options –
First option:
(27, 25, 23)→27 ÷ 3 = 9 ≠ 25; 25 ÷ 3 = 8.33 ≠ 23
Second option:
(27, 9, 3)→27 ÷ 3 = 9; 9 ÷ 3 = 3
Third option:
(27, 20, 19)→27 ÷ 3 = 9 ≠ 20; 20 ÷ 3 = 6.67 ≠ 19
Fourth option:
(27, 18, 9)→27 ÷ 3 = 9 ≠ 18; 18 ÷ 3 = 6 ≠ 9
So, only the second option follows the same pattern as the given number pair. Hence the second option is correct.
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