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. 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.)
(5, 50, 500)
(3, 30, 300)
Option 1: (11, 110, 2200)
Option 2: (7, 70, 700)
Option 3: (14, 140, 1500)
Option 4: (12, 220, 440)
Correct Answer: (7, 70, 700)
Solution :
Given:
(5, 50, 500); (3, 30, 300)
Multiply the first number by 10, to obtain the second number, and multiply the second number by 10, to obtain the third number –
⇒ (5, 50, 500)→5 × 10 = 50; 50 × 10 = 500
⇒ (3, 30, 300)→3 × 10 = 30; 30 × 10 = 300
Let's check the options –
First option:
(11, 110, 2200)→11 × 10 = 110; 110 × 10 = 1100 ≠ 2200
Second option:
(7, 70, 700)→7 × 10 = 70; 70 × 10 = 700
Third option:
(14, 140, 1500)→14 × 10 = 140; 140 × 10 = 1400 ≠ 1500
Fourth option:
(12, 220, 440)→12 × 10 = 120 ≠ 220; 220 × 10 = 2200 ≠ 440
So, only the second option follows the same pattern as the given set of numbers. Hence, the second option is correct.
