Verified Solution • 2025–26 Session moderate

QJEEM19Ma96a4: JEE Main 2019 Mathematics - Class 11 JEEM19Ma96a4 Solution: The mean and the median of the following ten numbers in…

The mean and the median of the following ten numbers in increasing order 10, 22, 26, 29, 34, x, 42, 67, 70, y are 42 and 35 respectively, then yx{y \over x} is equal to

Multiple Choice Options

  • A 72{7 \over 2}
  • B 83{8 \over 3}
  • C 94{9 \over 4}
  • D 73{7 \over 3}

Step-by-Step Verified Solution

Given ten numbers are 10, 22, 26, 29, 34, x, 42, 67, 70, y.

As the numbers are in increasing order so

Mediun = 34+x2{{34 + x} \over 2} = 35

⇒\Rightarrow x = 36

Also given mean = 42

⇒\Rightarrow 10+22+26+29+34+x+42+67+70+y10{{10 + 22 + 26 + 29 + 34 + x + 42 + 67 + 70 + y} \over {10}} = 42

⇒\Rightarrow 300+x+y10{{300 + x + y} \over {10}} = 42

⇒\Rightarrow 300 + x + y = 420

⇒\Rightarrow 336 + y = 420

⇒\Rightarrow y = 84

∴\therefore yx=8436{y \over x} = {{84} \over {36}} = 73{7 \over 3}

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