Question : Directions: Select the triad from the below options that have the same analogy as the following triads.
(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.)
3 : 26 : 8
7 : 342 : 20
Option 1: 2 : 9 : 5
Option 2: 5 : 123 : 14
Option 3: 6 : 216 : 17
Option 4: 4 : 63 : 11
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Correct Answer: 4 : 63 : 11
Solution :
Given:
(3 : 26 : 8); (7 : 342 : 20)
Here, (3 : 26 : 8)→(3)
3
– 1 = 27 – 1 = 26; (3 × 3) – 1 = 9 – 1 = 8
(7 : 342 : 20)→(7)
3
– 1 = 343 – 1 = 342; (7 × 3) – 1 = 21 – 1 = 20
Let's check the options –
First option:
(2 : 9 : 5)→(2)
3
– 1 = 8 – 1 = 7 ≠ 9; (2 × 3) – 1 = 6 – 1 = 5
Second option:
(5 : 123 : 14)→(5)
3
– 1 = 125 – 1 = 124 ≠ 123; (5 × 3) – 1 = 15 – 1 = 14
Third option:
(6 : 216 : 17)→(6)
3
– 1 = 216 – 1 = 215 ≠ 216 and (6 × 3) – 1 = 18 – 1 = 17
Fourth option:
(4 : 63 : 11)→(4)
3
– 1 = 64 – 1 = 63; (4 × 3) – 1 = 12 – 1 = 11
So, only the fourth option follows the same pattern as followed by the given set of numbers. Hence, the fourth option is correct.
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