Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets.
(121, 81, 2)
(88, 54, 2)
(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.)
Option 1: (13, 5, 9)
Option 2: (78, 6, 45)
Option 3: (31, 56, 98)
Option 4: (77, 18, 5)
Correct Answer: (77, 18, 5)
Solution :
Given:
(121, 81, 2); (88, 54, 2)
In the above-given set of numbers, divide the first number by 11 and the second number by 9. Then, subtract both the results.
Like, (121, 81, 2); (121 ÷ 11) – (81 ÷ 9) = 11 – 9 = 2
And, (88, 54, 2); (88 ÷ 11) – (54 ÷ 9) = 8 – 6 = 2
Let's check the options –
First option:
(13, 5, 9); (13 ÷ 11) – (5 ÷ 9) = 1.18 – 0.56 = 0.62
Second option:
(78, 6, 45); (78 ÷ 11) – (6 ÷ 9) = 7.09 – 0.67 = 6.42
Third option:
(31, 56, 98); (31 ÷ 11) – (56 ÷ 9) = 2.82 – 6.22 = –3.4
Fourth option:
(77, 18, 5); (77 ÷ 11) – (18 ÷ 9) = 7 – 2 = 5
So, only the fourth option follows the same pattern. Hence, the fourth option is correct.
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