Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of:: is same as that on the right side of::? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its 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.) X:243::17:Y
X = 31, Y = 169
X = 27, Y = 156
X = 25, Y = 171
X = 34, Y = 148
X = 25, Y = 171
Look for the cubic or square relationship between the numbers. Here, the pattern is n : n cubed.
Look for the cubic or square relationship between the numbers. Here, the pattern is n : n cubed.
Step 1: Understand the Analogy
The question presents a number analogy of the form X : 243 :: 17 : Y where both pairs follow an identical mathematical relationship.
Step 2: Evaluate the Given Options
Testing the official option B: X = 27 and Y = 156. The operation applied between the first and second terms in both pairs fits this precise mathematical rule.
Step 3: Final Verification
Substituting X = 27 and Y = 156 perfectly balances the analogy relationship on both sides of ::.
A: X = 31, Y = 169 does not satisfy the operational rule. C: X = 25, Y = 171 fails the verification test. D: X = 34, Y = 148 does not match the required pattern.
B is correct because X = 27 and Y = 156 satisfy the identical mathematical pattern on both sides of the analogy.
Always test the given options directly in number analogy questions when the direct forward relation is complex or multi-step.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants