Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given 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.)
(16, 9, 154)
(13, 7, 101)
Option 1: (12, 5, 70)
Option 2: (10, 7, 81)
Option 3: (15, 6, 110)
Option 4: (11, 8, 99)
Correct Answer: (12, 5, 70)
Solution :
Given:
(16, 9, 154); (13, 7, 101)
Multiply the first number with the second number, and add 10 to the resultant to get the third number –
⇒ (16, 9, 154)→(16 × 9) + 10 = 154
⇒ (13, 7, 101)→(13 × 7) + 10 = 101
Let's check each option –
First option:
(12, 5, 70)→(12 × 5) + 10 = 70
Second option:
(10, 7, 81)→(10 × 7) + 10 = 80 ≠ 81
Third option:
(15, 6, 110)→(15 × 6) + 10 = 100 ≠ 110
Fourth option:
(11, 8, 99)→(11 × 8) + 10 = 98 ≠ 99
So, only the first option follows the same pattern as the given set of numbers. Hence, the first option is correct.
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