QUESTION

CSAT

Medium

Maths

Prelims 2020

Consider the following date:

EnglishHindi
Girls98
Boys87

What is the value of xx in the above table?

Select an option to attempt

Explanation

Let the number of girls be g and the number of boys be b.

Overall average marks in English:

9g+8b=8.89g+8b=8.8 Simplifying this:

9g+8b=8.8g+8.8b9g+8b=8.8g+8.8b

0.2g=0.8b0.2g=0.8b (Equation 1) g=4bg=4b(Equation 1) Overall average marks in Hindi: g+b/8g+7b=xg+b/8g+7b =x Substitute the value of g from Equation 1:

4b+b/8(4b)+7b=x4b+b/8(4b)+7b =x

x=7.8x=7.8

Method II:

Using the allegation method for the average marks in English:

Average marks of girls = 9 Average marks of boys = 8 Overall average = 8.8 The difference between the overall average and the girls' average is 98.8=0.29-8.8=0.2, and the difference between the boys' average and the overall average is 8.88=0.88.8-8=0.8.

Thus, the ratio of girls to boys is 0.8:0.2=4:10.8:0.2=4:1.

Now, to find the average marks in Hindi, we calculate: x=4+1/(4×8)+(1×7)x= 4+1/(4\times 8)+(1\times 7)

Hence, the value of x is 7.8.

Trusted by 2L aspirants

Practice UPSC Prelims PYQs Smarter

Practice Now
  • Track accuracy & weak areas
  • See past trends & repeated themes
Start Practicing Now

Crack UPSC with your
Personal AI Mentor

An AI-powered ecosystem to learn, practice, and evaluate with discipline

SuperKalam is your personal mentor for UPSC preparation, guiding you at every step of the exam journey.

Download the App

Get it on Google PlayDownload on the App Store
Follow us

ⓒ Snapstack Technologies Private Limited