Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. Eg. 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 of 1 and 3 is not allowed.)
(10, 50, 250); (20, 100, 500)
Option 1: (14, 70, 300)
Option 2: (20, 80, 500)
Option 3: (10, 50, 200)
Option 4: (8, 40, 200)
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Correct Answer: (8, 40, 200)
Solution :
Given:
(10, 50, 250); (20, 100, 500)
Multiply the first number by five, to get the second number and multiply the second number by five, to get the third number –
(10, 50, 250)→10 × 5 = 50: 50 × 5 = 250
(20, 100, 500)→20 × 5 = 100; 100 × 5 = 500
Let’s check the options –
First option:
(14, 70, 300)→14 × 5 = 70; 70 × 5 = 350 ≠ 300
Second option:
(20, 80, 500)→20 × 5 = 100 ≠ 80; 80 × 5 = 400 ≠ 500
Third option:
(10, 50, 200)→10 × 5 = 50; 50 × 5 = 250 ≠ 200
Fourth option:
(8, 40, 200)→8 × 5 = 40; 40 × 5 = 200
So, only the fourth option follows the same pattern as the given number pair. Hence, the fourth option is correct.
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