# Simplification Question & Answers

## Simplification

Quantitative aptitude questions are asked in many competitive exams and placement exam. ' Simplification ' is a category in Quantitative Aptitude. Quantitative aptitude questions given here are extremely useful for all kind of competitive exams like Common Aptitude Test (CAT), MAT, GMAT, IBPS Exam, CSAT, CLAT, Bank Competitive Exams, ICET, UPSC Competitive Exams, CLAT, SSC Competitive Exams, SNAP Test, KPSC, XAT, GRE, Defense Competitive Exams, L.I.C/ G. I.C Competitive Exams, Railway Competitive Exam, TNPSC, University Grants Commission (UGC), Career Aptitude Test (IT Companies) and etc., Government Exams etc.

We have a large database of problems on " Simplification " answered with explanation. These will help students who are preparing for all types of competitive examinations.

In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is :

 A) 35 B) 38 C) 40 D) 42

Explanation:

Let the number of correct answers be X.

Number of incorrect answers = (60 – X).

4x – (60 – x) = 130

=> 5x = 190

=> x = 38

Subject: Simplification - Quantitative Aptitude - Arithmetic Ability

42

A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed :

 A) 30 birds B) 60 birds C) 72 birds D) 90 birds

Answer & Explanation Answer: A) 30 birds

Explanation:

Let the no of shots be x. Then,

Shots fired by A = $\inline \frac{5}{8}x$

Shots fired by B = $\inline \frac{3}{8}x$

Killing shots by A = $\inline \frac{1}{3}\; of\; \frac{5}{8}x$ = $\inline \frac{5}{24}x$

shots missed by B = $\inline \frac{1}{2}\; of\; \frac{3}{8}x$=$\inline \frac{3}{16}x$

$\inline \therefore \frac{3}{16}x=27\; \Rightarrow x=144$

Birds killed by A = $\inline \frac{5}{24}x=\frac{5}{24}\times 144=30$

Subject: Simplification - Quantitative Aptitude - Arithmetic Ability

21

If 2 tables and 3 chairs cost Rs, 3500 and 3 tables and 2 chairs cost Rs. 4000, then how much does a table cost ?

 A) 500 B) 1000 C) 1500 D) 2000

Explanation:

Let the cost of a table and that of a chair be Rs. x and Rs, y respectively.

Then, 2x + 3y = 3500 ...(i)

and 3x + 2y = 4000 .....(ii)

solving (i) and (ii) we get x = 1000, y = 500

Subject: Simplification - Quantitative Aptitude - Arithmetic Ability

11

In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?

 A) 160 B) 175 C) 180 D) 195

Explanation:

Suppose the man works overtime for x hours.

Now, working hours in 4 weeks = (5 x 8 x 4) = 160.

${\color{Blue}&space;\therefore&space;}$ 160 x 2.40 + x x 3.20 = 432

=> 3.20x = 432 - 384 = 48

=> x = 15.

Hence, total hours of work = (160 + 15) = 175.

Subject: Simplification - Quantitative Aptitude - Arithmetic Ability

3

To fill a tank, 25 buckets of water is required.  How many buckets of water will be required to fill the same tank if the capacity of bucket is reduced to two-fifth of its present ?

 A) 52.5 B) 62.5 C) 72.5 D) 82.5

Explanation:

Let the capacity of 1 bucket = x.

Then, capacity of tank = 25x.

New capacity of bucket  = $\inline \frac{2}{5}x$.

$\inline \therefore$Required no of buckets = $\inline \frac{25x}{(2x/5)}$ = 62.5