Question 65

If a, b, c and d are four different positive integers selected from 1 to 25, then the highest possible value of ((a + b) + (c +d ))/((a + b) + (c - d)) would be:

Name: If a, b, c and d are four different positive integers selected from 1 to 25, then the highest possible value of ((a + b) + (c +d ))/((a + b) + (c - d)) would be:
Uploaded: Aug. 6, 2020, 3:40 p.m.
Duration: 2 min 48 s
Description: If a, b, c and d are four different positive integers selected from 1 to 25, then the highest possible value of ((a + b) + (c +d ))/((a + b) + (c - d)) would be:

Solution

Expression : $$\frac{a + b + c + d}{a + b + c - d}$$

To maximize the above expression, we have to minimize the denominator

Minimum value of the denominator = 1

So we can make $$a + b + c = 26$$ and $$d = 25$$ (as maximizing d will give denominator the least value).

So required maximum value = $$\frac{a + b + c + d}{a + b + c - d}$$

= $$\frac{26 + 25}{26 - 25} = 51$$

Video Solution

Click on the Email ☝️ to Watch the Video Solution

Create a FREE account and get:

All Quant Formulas and shortcuts PDF
XAT previous papers with solutions PDF
XAT Trial Classes for FREE

CAT Quant Questions | CAT Quantitative Ability

CAT Time And Work Questions CAT Averages Mixtures Alligations Questions CAT Geometry Questions CAT Coordinate Geometry Questions CAT Data Sufficiency Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Special Charts Questions CAT Venn Diagrams Questions CAT DI Miscellaneous Questions CAT Truth Lie Concept Questions CAT Coins and Weights Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Critical Reasoning Questions CAT Verbal Ability Questions CAT Para Jumbles Questions CAT Odd One Out Questions CAT Miscellaneous Questions

XAT 2015

If a, b, c and d are four different positive integers selected from 1 to 25, then the highest possible value of ((a + b) + (c +d ))/((a + b) + (c - d)) would be:

Video Solution

CAT Quant Questions | CAT Quantitative Ability

CAT DILR Questions | LRDI Questions For CAT

CAT Verbal Ability Questions | VARC Questions For CAT

Free Quant Questions

Login to your Cracku account

Hello! 👋

Ready to Unlock Your Success?

Please Enter Your OTP

Please enter the following details

Create a free Cracku account