Question : Directions: Select the option in which the numbers share the same relationship as that shared by the given pair of numbers.(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 on 1 and 3 is not allowed.)
40 : 300
27 : 196
Option 1: 55 : 400
Option 2: 130 : 940
Option 3: 200 : 1580
Option 4: 25 : 140
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Correct Answer: 200 : 1580
Solution :
Given:
40 : 300, 27 : 196
Subtract 20 from 8 times the first number to obtain the second number —
⇒ 40 : 300; 40 × 8 – 20 = 320 – 20 = 300
⇒ 27 : 196; 27 × 8 – 20 = 216 – 20 = 196
Let's check the options —
First option:
55 : 400; 55 × 8 – 20 = 440 – 20 = 420 ≠ 400
Second option:
130 : 940; 130 × 8 – 20 = 1040 – 20 = 1020 ≠ 940
Third option:
200 : 1580; 200 × 8 – 20 = 1600 – 20 = 1580
Fourth option:
25 : 140; 25 × 8 – 20 = 200 – 20 = 180 ≠ 140
So, only the third option shares the same relationship as that of the given pairs. Hence, the third option is correct.
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