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A Sample Quantitative Aptitude Test

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Your aptitudes are nothing more your interests...

...and aptitude tests measure those skills that you acquire during pursuit of your happiness. The quantitative aptitude test focuses upon your interests in arithmetic. It has been an important part of all screening aptitude tests. You are tested for your sharpness to analyze the given data. Here are a few sample questions similar to those that you may face during your quantitative aptitude testing sessions.

Quantitative Aptitude Test Question 1

If x and y are the two digits f the number 653xy such that this number is divisible by 80, then x+y is equal to:

(i) 2

(ii) 3

(iii) 4

(iv) 6

Solution:

Since 653xy is divisible by 2 as well as by 5, so y = 0

Now 653x0 is divisible by 8 so 3x0 is also divisible by 8.

By hit and trial x=6 and x+y = 6

(I am thankful to the contributors below on pointing out mistake in the answer.)

Quantitative Aptitude Test Question 2

The smallest number which when diminished by 3 is divisible by 21,28,36 and 45 is...

(i) 869

(ii) 859

(iii) 4320

(iv) 427

Solution:

The required number = l.c.m. of (21,28,36 ,45)+3=1263

Quantitative Aptitude Test Question 3

If 1.5x=0.04y then the value of (y-x)/(y+x) is

(i) 730/77

(ii) 73/77

(iii) 7.3/77

(iv) None

Solution: x/y = 0.04/1.5 = 2/75

So (y-x)/(y+x) = (1 - x/y)/(1 + x/y) = (1 - 2/75)/ (1 + 2/75) = 73/77

Quantitative Aptitude Testing Question 4

The average age of a class is 15.8 years. The average age of boys in the class is 16.4 years while that of girls is 15.4 years. What is the ratio of boys to girls in the class?

(i) 1:2

(ii) 3:4

(iii) 3:5

(iv) None of these

Solution:

Let the ratio be k:1.

Then k*16.4+1*15.4 + (k+1)*15.8 (16.4-15.8)k = 15.8 - 15.4 k=0.4/0.6 = 2/3 so required ratio = 2:3

Quantitative Aptitude Testing Question 5

If one-seventh of a number exceeds its eleventh part by 100 then the number is…

(i) 770

(ii) 1100

(iii) 1825

(iv) 1925

Solution:

Let the number be x. Then X/7 - x/11 =100 11x-7x = 7700 x=1925.

Quantitative Aptitude Test Question 6

The ratio of Rita's age to her mother's age is 3:8. The difference of their ages is 35 years. The ratio of their ages after 4 years will be:

(i) 7:12

(ii) 5:12

(iii) 38:43

(iv) 42:47

Solution:

Let their ages be 3x and 8x

8x - 3x =35

x =7

Their present ages are 21 and 56 years.

Ratio of their ages after 4 years are 25:60 = 5:12

Quantitative Aptitude Test Question 7

Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 15 times as heavy as water?

(i) 1:1

(ii) 2:3

(iii) 1:2

(iv) 3:2

Solution:

Let 1gm of gold be mixed with x gm of copper to give (1+x)gm of the alloy.

1G=19W, 1C = 9W and alloy = 15W 1gm gold + xgm Copper = (1+x)gm alloy 19W+9Wx = (1+x)*15W x = 4W/6W = 2/3

So ratio of gold and copper is 1:2/3 or 3:2

Quantitative Aptitude Test Question 8

A tap can fill the tank in 15 minutes and another can empty it in 8 minutes. If the tank is already half full and both the taps are opened together, the tank will be:

(i) filled in 12 min

(ii) emptied in 12 min

(iii) filled in 8 min

(iv) emptied in 8 min

Solution:

Rate of waste pipe being more the tank will be emptied when both taps are opened.

Net emptying workdone in 1min =(1/8 -1/16)= 1/16

So full tank will be emptied in 16 min

Half tank will be emptied in 8 minutes.

Quantitative Aptitude Test Question 9

A man can row 5 kmph in still water. If the river is running at 1kmph, it takes him 75 minutes to row to a place and back. How far is the place?

(i) 3km

(ii) 2.5 km

(iii) 4 km

(iv) 5 km

Solution:

Speed downstream = (5+1)km/hr = 6 km/hr Speed upstream = (5-1)km/hr = 4 km/hr Let the required distance be x km x/6 + x/4 = 75/60 2x+3x = 15 x = 3km

Quantitative Aptitude Test Question 10

729 ml of a mixture contains milk and water in ratio 7:2. How much of the water is to be added to get a new mixture containing half milk and half water?

(i) 79 ml

(ii) 81 ml

(iii) 72 ml

(iv) 91 ml

Solution:

Milk = (729 * (7/9))=567ml

Water = (729-567)= 162ml

Let water to be added be x ml 567/(162+x) = 7/3 1701 = 1134 + 7x x = 81ml

Note:

Discussion on Answer to Question No.10 has taken a long time. Different visitors gave different answers. However, majority of the visitors have contributed that the answer should be 405 ml of water. I go with this answer but not going to change the original answer to make discussion clear for all. You may differ with the opinion of majority if you like.

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Want More Apptitude Tests  starstarstarstarstar
i am basically weak in apps......... i want more apptitude questions with solved answers.

Answer for question 10  starstarstarstarstar
Quantitative Aptitude Test Question 10

(567/(162+x) = 1 1128=162+x )
729 ml of a mixture contains milk and water in ratio 7:2. How much of the ...

Wrong Answer Provided For Question 10  starstarstarstarstar
The quantity of milk in the mixture is
7/(7+2) X 729
= 7/9 X 729
= 567mL
The quantity of water then shall be
729 - 567 = 162mL

If the final mixture ...

For Question number 1  starstarstarstarstar
Actually the answer by hit and trial for 3x0 to be divisible 8 ... value of x=2 also holds true as 320 is divisible by 8 but the 65320 is not divisible ...

Numerical Ability Test  starstarstarstarstar
I have one doubt quantitative aptitude and numerical ability tests are same or not? Please answer to my question...

Editor's Note: I agree that they ...

Enlarge Quantitative Aptitude Test  starstarstarstarstar
You have not given the questions related to work and man and woman. Such type of questions are very important in any aptitude test. Otherwise your effort ...

Quantitative Aptitude Test Question 10  starstarstarstarstar
Quantitative Aptitude Test Question 10 seems to be wrong for me. Because in the question they half asked to add water in order to make the water milk ratio ...

Question no. 6  starstarstarstar
the difference of their age is
8x-3x=35
5x=35
x=7
mother's age is 56& Rita's age is 21.
after ...

Quantitative Aptitude Test Question 11  starstarstarstar
In an exam the ratio of pass to fail is 4:1. If 30 had less appeared 20 less passed the ratio is 5:1. Find the number of students appeared in exam?

Editor'...

Correction for the Solution toQuestion no10  Not rated yet
Milk in the 729 ml of mixture = 567 ml
Water hence in the mixture = 162 ml


Now in order to get the mixture of half milk and half water means the ...

Question No 10  Not rated yet
Milk:Water = 7:2
i.e milk is 567 ml and water is 162ml
now to make them equal in ratio i.e 1:1 we have to add water 567-162=405ml
now it will ...

Thanks for ur Contribution....  Not rated yet
Thanks for giving us the remarkable thoughts to approach a given problem, and would like to know many of such questions..

Solution for question No.10  Not rated yet
As it is stated that 729 ml of mixture containing milk and water in ratio of 7:2.

Solution:

Milk portion : 7/(7+2)*(729) = 567ml
Water portion : 2/...

Explain Solution for Question 2  Not rated yet
The answer provided in the solution does not match the options...

Editor's Note: Anybody is welcome with his two pence!

Correct Answer  Not rated yet
X = Y(2) 567 162 = 562 167

question 7 = 1:1

Good questions  Not rated yet
Answer to the question number10 is wrong because they have asked to make the mixture with half water and half milk.

Srinivas  Not rated yet
I am Srinivas. I appreciate the content on this website.

How come first answer is right?  Not rated yet
The number must be 65360,then only it is divisible by 80.

Thanks Ameena and other contributors. I have made the required correction.

Answer to Quantitative Sample Test Question No.1 is Wrong  Not rated yet
according to this answer

if y=0,x=2 means
the number should be 65320 (653xy)
so 65320 is not divisible by 80
there fore this answer ...

Aptitude Questions  Not rated yet
I have read aptitude questions at your site. I thank you for providing this helpful information.

Quantitative Question 8  Not rated yet
I think quantitative question No.8 is solved wrongly. The answer is taking 16 instead of 15. Any feedback shall be appreciated.

It is Worthwhile   Not rated yet
It's worth wile but if it is more clarified then it will be good. I feel some solutions are not getting correctly.

Editor Note: Visitors are welcomed ...

Wrong Answers in Quantitative Aptitude Test-2  Not rated yet
As far as mistakes in math and quantitative answers are concerned, you may like to read a a full disclaimer about the information provided on this site....

Wrong Answers in Quantitative Aptitude Test-1  Not rated yet
I appreciate your favor to stay at my site, read it, point out my mistakes and pay all out encouragements. I am obliged to your attention.

There are ...

I Want to Join it to Sharp My IQ  Not rated yet
I want join it for sharp my IQ.


Admin: You may practice a lot of free IQ tests to sharpen your IQ. There are theories that it is not intelligence ...

Wrong Answer in Quantitative Aptitude Test  Not rated yet
It seems that solution for Question 1 is wrong...

X got to be 6 and answer be 6 again. Approach is not correct.

Good Quantitative Test  Not rated yet
It is really very good site, particularly page on quantitative test.

Admin: Thanks Amar for your appreciation. Such remarks urge me to do better on ...


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