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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.)
(12, 9, 4)
(18, 9, 6)

Option 1: (20, 12, 10)

Option 2: (14, 10, 7)

Option 3: (15, 12, 7)

Option 4: (12, 16, 3)


Team Careers360 10th Jan, 2024
Answer (1)
Team Careers360 14th Jan, 2024

Correct Answer: (12, 16, 3)


Solution : Given:
(12, 9, 4); (18, 9, 6)

Divide the first number by the third number, and then find the square of the resultant number to obtain the second number in the given set of numbers –
⇒ (12, 9, 4)→(12 ÷ 4) 2 = 3 2 = 9
⇒ (18, 9, 6)→(18 ÷ 6) 2 = 3 2 = 9

Let's check the options –
First option: (20, 12, 10)→(20 ÷ 10) 2 = 2 2 = 4 ≠ 12
Second option: (14, 10, 7)→(14 ÷ 7) 2 = 2 2 ​​​​​​​ = 4 ≠ 10
Third option: (15, 12, 7)→(15 ÷ 7) 2 = (2.14) 2 ​​​​​​​ = 4.5796 ≠ 12
Fourth option: (12, 16, 3)→(12 ÷ 3) 2 = 4 2 ​​​​​​​ = 16

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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