Question : Directions: Select the set in which the numbers are related in the same way as the numbers of 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.)
(13, 64, 5)
(10, 1, 9)
Option 1: (15, 144, 9)
Option 2: (16, 256, 9)
Option 3: (15, 306, 9)
Option 4: (16, 49, 9)
Correct Answer: (16, 49, 9)
Solution :
Given:
(13, 64, 5); (10, 1, 9)
In the given sets, subtract the third number from the first number and then find the square of the resultant number to get the second number.
(13, 64, 5)→13 – 5 = 8; 8
2
= 64
(10, 1, 9)→10 – 9 = 1; 1
2
= 1
Let's check the options –
First option:
(15, 144, 9)→15 – 9 =6; 6
2
= 36 ≠ 144
Second option:
(16, 256, 9)→16 – 9 = 7; 7
2
= 49 ≠ 256
Third option:
(15, 306, 9)→15 – 9 = 6; 6
2
= 36 ≠ 306
Fourth option:
(16, 49, 9)→16 – 9 = 7; 7
2
= 49
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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