In the following pairs of numbers, the second number is obtained by performing certain mathematical operations on the first number. What numbers should appear at the position ' of X and Y so that the pattern followed by both the numbers on the left side of :: becomes the same as the one on the right side of ::. (Note: Arithmetic operations must be performed without separating the denominators of whole numbers. For example, 13 - addition/subtraction/multiplication operations can be performed on the number 13. It is not allowed to separate the denominators 1 and 3 of 13 and then perform arithmetic operations.)

X : 96 :: 34 : Y

Question

Question

This question was previously asked in

Punjab Police Constable Official Paper-I & II (Held On: 30 Jul, 2024 Shift 1)

Answer 1

Logic followed here is,

The pattern is to multiply the first number by 3 and then add 30 to get the second number.

Now let's check each option for X and Y:

Option 1: X = 22, Y = 132

For X: 22 x 3 + 30 = 66 + 30 = 96 (Matches the given pair)

For Y: 34 x 3 + 30 = 102 + 30 = 132 (Matches the given pair)
Option 2: X = 27, Y = 142

For X: 27 x 3 + 30 = 81 + 30 = 111 (Does not match 96)

For Y: 34 x 3 + 30 = 102 + 30 = 132 (Does not match 142)
Option 3: X = 26, Y = 148

For X: 26 x 3 + 30 = 78 + 30 = 108 (Does not match 96)

For Y: 34 x 3 + 30 = 102 + 30 = 132 (Does not match 148)
Option 4: X = 21, Y = 136

For X: 21 x 3 + 30 = 63 + 30 = 93 (Does not match 96)

For Y: 34 x 3 + 30 = 102 + 30 = 132 (Does not match 136)

Therefore, the correct values for X and Y are 22 and 132 respectively.

Hence the correct answer is "Option 1"