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 тАУ 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:676::17:Y
X = 21, Y = 396
X = 23, Y = 400
X = 25, Y = 324
X = 28, Y = 361
X = 25, Y = 324
Identify the relationship between the first and second numbers. Notice that 676 is the square of 26 (26┬▓ = 676). Similarly, 400 is the square of 20 (20┬▓ = 400), or check if 17 gives 400 (not directly). Alternatively, test the options for X and Y such that a uniform mathematical relation holds. Let's test X = 23 and Y = 400: If X = 23, then (23 + 3)┬▓ = 26┬▓ = 676; and for the second pair, 17 + 3 = 20, and 20┬▓ = 400!
Identify the relationship between the first and second numbers. Notice that 676 is the square of 26 (26┬▓ = 676). Similarly, 400 is the square of 20 (20┬▓ = 400), or check if 17 gives 400 (not directly). Alternatively, test the options for X and Y such that a uniform mathematical relation holds. Let's test X = 23 and Y = 400: If X = 23, then (23 + 3)┬▓ = 26┬▓ = 676; and for the second pair, 17 + 3 = 20, and 20┬▓ = 400!
Analyze the Second Number in Right Pair
In the right side of the expression (17 : Y), we know the first number is 17. Following a standard algebraic pattern involving squares, adding 3 gives 17 + 3 = 20, and squaring 20 yields 20 squared = 400, which gives Y = 400.
Test X with the Left Pair (X : 676)
We test the value X = 23 from Option B: adding 3 gives 23 + 3 = 26, and squaring 26 gives 26 squared = 676, which perfectly matches the second number in the left pair.
A: X = 21, Y = 396 does not satisfy the uniform square relation (21+3=24, 24 squared is 576, not 676). C: X = 25, Y = 324 does not match 676 (28 squared is 784). D: X = 28, Y = 361 does not match 676 (31 squared is 961).
B is correct because for X = 23, (23 + 3) squared = 26 squared = 676, and for 17, (17 + 3) squared = 20 squared = 400 (Y = 400).
Always check for square and cube numbers close to the given values before testing arithmetic differences.
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