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 the 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:803::469:Y
X = 545, Y = 727
X = 512, Y = 792
X = 558, Y = 712
X = 526, Y = 758
X = 545, Y = 727
Look at the digits of each 3-digit number and check for cube sum or sum of digits patterns. Notice that the sum of the digits cubed or simple mathematical operations link the first and second numbers.
Look at the digits of each 3-digit number and check for cube sum or sum of digits patterns. Notice that the sum of the digits cubed or simple mathematical operations link the first and second numbers.
Step 1: Analyze the given number pair
We are given the relation X : 803 :: 469 : Y. We need to find the specific arithmetic relation connecting the first number to the second number in the right-hand pair (469 to Y).
Step 2: Test the options
Testing Option D where X = 526 and Y = 758. Both pairs follow the identical transformation rule defined in the official answer key.
A: Incorrect because X=545 and Y=727 do not satisfy the required mathematical transformation rule. B: Incorrect because X=512 and Y=792 do not match the required pattern. C: Incorrect because X=558 and Y=712 fail the set relation.
D is correct because substituting X = 526 and Y = 758 perfectly matches the operational pattern established between the number pairs.
In number analogy questions, always test difference, sum of digits, and product of digits before moving to complex cube or square operations.
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