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Increase Your IQ

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

Mr. Ankit from India has corrected the answer as:

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

You may respond to him at the post below with his name.

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 as:

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 would contain half milk and half water, there must be equal quantity of both.

So in order to make up for water, we'll need to add

567mL - 162mL= 405mL of water

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What Other Visitors Have Expressed

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Correction for the Solution toQuestion no10  starstarstarstarstar
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 ...

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 11  starstarstarstarstar
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'...

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 ...

Correct Answer For Question 7  star
According to question :

G = 19W
Cu = 9W

Now let required ratio of gold and copper(G and Cu) be

G/Cu = x

So, xCu + Cu/W = 15

Cu(1+x)...

Answer for Question 10  Not rated yet
Answer to question no 10 is 405. If we take 81 that not match with question .81+162=243. here 243<567.but in question said milk=water.here that condition ...

Regarding Question 4  Not rated yet
The answer should be 1:2,
let x be no of boys and let y be no of girls
then 16.4*x+15.4y=15.8x+15.8y
therefore x/y=1/2

Question no 10---Solution Must Read  Not rated yet
In this question the data is not sufficient.
Actually he forgot to mention the ratio at the last...that is 7:3.

the solution is right.
the correct ...

Solution for Question 4  Not rated yet
let boys be b
girls be g
therefor

(b+g)15.8=b16.4+15.4g


b/g=2/3

Classes for Aptitude test  Not rated yet
Hi guys,

I have seen many people who do not get placed in a good company or missed the opportunity to get placed in a good company; just because they ...

Problem in Question 10..  Not rated yet
Solution of above question 10 is wrong because it has been wrongly taken as..

567/162+x=7/3

in question the ratio is given 7/2, while in answer ...

Correction in Quantitative Question No.4 by Ankit  Not rated yet
In Question number 4 whose solution reads as
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

There ...

Answer to question number 7  Not rated yet
Using allegation and mixture method we can solve this easily like this

mean price is 15

so

(19-15):(15-9)

we will get

6:4

final answer ...

1000 Light Bulbs  Not rated yet
1000 light bulbs with a mean life of 120 days are installed in a new factory and their length of life is normally distributed with a standard deviation ...

Correction of First Question  Not rated yet
In the problem 3x0 has to be divisible by 8 but 360 is divisible by 8.

As well as 320 is also divisible by 8.

Correct Answer  Not rated yet
I think correct answer is 405. Following is the explanation for it. We know that 567 ml is milk and 162 is water..now out target is to reach 567 ml of ...

Mathematical Challenge!  Not rated yet
Please write solution for my question:

Arun invested 4500 rupees, Ram invested 90000 after 3 months, Raj invested 60000 after 6 months in the same business....

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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