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 : 18.8 :: 21 : Y

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RRB Technician Grade III Official Paper (Held On: 28 Dec, 2024 Shift 2)
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  1. X = 20, Y = 26.8
  2. X = 17, Y = 22.6
  3. X = 11, Y = 29.4
  4. X = 15, Y = 24.8

Answer (Detailed Solution Below)

Option 4 : X = 15, Y = 24.8
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Detailed Solution

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The logic followed here is:

Logic: 1st number + 3.8 = 2nd  number.

X : 18.8 :: 21 : Y

For, X

X : 18.8

→ X + 3.8 = 18.8

→ X = 18.8 - 3.8

→ X = 15

Now, for Y

 21 : Y

→ 21 + 3.8 = Y

→ 24.8 = Y

Thus, Value of X is 15 and Value of Y is 24.8.

Hence, the correct answer is "Option 4".

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