# Quantitative Aptitude Question With Answers – Make Maths Simple

In this post lets discuss some of the questions for simplification. Try to solve by yourself then scroll down for answers.

1. Find the value of 40000-40000÷100

2. Simplify the following  515*515*515-221*221*221/(515*515+515*221*221+221)

3. Simplify the following (578291*578291-457428*457428)/120863

4. Find the value of ((598+194)2-(598-194)2)/(598*194)

5. If the value of a-b=6 and a2+b2=40, then find the value of ab

Answers

1. Most of you might have probably got the answer as  0 if you’re calculating in hurry. But its wrong.

We mostly forget about the BODMAS while doing these kind of simple calculations.

The answer is 39600 (1st divide 40000÷100 = 400, then subtract 40000 with 400)

2. How long you too for this calculation or used calculator to do this sum.

Here is the simple way. This follows the formula as (a3-b3) /(a2+a*b+b2)
=(a-b)(a2+a*b+b2)/(a2+a*b+b2)
=(a-b)
=(515-221)
=294

3. This is of the form a2-b2/(a-b)
=(a+b)(a-b)/(a-b)
=(a+b)
=578291+457428
=1035719

4. This is of the form ((a+b)2-(a-b)2)/(a*b)
= ((a2+2*a*b+b2)-(a2-2*a*b+b2))/(a*b)
=4ab/ab
=4

5. (a-b)2-(a-b)2=0
=>(a2-2ab+b2)-(a-b)2=0
=>(a2+b2)-(a-b)2=2ab
=>40-62=2ab
=>40-36=2ab
=>2ab=4
=>ab=2

Make your calculation as simple as possible 🙂 Share your comments with us 🙂

#### kirthika

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## HCL Campus Interview Questions & Answers 2012

### 6 Comments

• Parithi
November 9, 2011 at 1:19 PM

Algebra makes horrific calculations look simple…really amazing!!

• kasi
December 5, 2011 at 11:23 PM

nice one… now i got some idea about this like problems… 🙂

• smart sankar
November 16, 2012 at 9:17 PM

very nice

• smart sankar
November 16, 2012 at 9:18 PM

fantastic!!!!!!!!!!!!!!!!!!!!!!!

• bhanu goel
September 9, 2013 at 11:09 PM

amazing…!!!!!!!!!

• gopi
March 11, 2016 at 9:57 PM

10Q SIR IT HELPS ME

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