Quantitative Aptitude - Arithmetic Ability Questions

Q:

K can finish the work in 18 days and L can do the same work in 15 days. L worked for 10 days and left the job. In how many days, K alone can finish the remaining work ?

A) 5.5 days B) 6 days
C) 4.2 days D) 5 days
 
Answer & Explanation Answer: B) 6 days

Explanation:

L's 10 days work = 115×10=23

 


Remaining work = 1-23=13

 


Now,  work is done by K in one day = 1/18

 

1/3 work is done by K in  18×13 = 6 days

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Filed Under: Time and Work
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Q:

A can do 1/2 of a piece of work in 8 days while B can do1/3of the same work in 8 days. In how many days can both do it together?

A) 9.6 days B) 10.5 days
C) 11.2 days D) 16 days
 
Answer & Explanation Answer: A) 9.6 days

Explanation:

A completed their work in 8 X 2 = 16 days

B completed their work in 8 X 3 = 24 days

A and B one day work1/16 + 1/245/48

A and B completed their work in 48/5 days = 9.6 days

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Filed Under: Time and Work
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Q:

Find the odd letter/word from the given alternatives.

A) Horse B) Ewe
C) Hind D) Bitch
 
Answer & Explanation Answer: A) Horse

Explanation:

Except Horse, remaining all belong to female category.

Hind - Female Deer

Ewe - Female Sheep

Bitch - Female Dog. 

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Q:

A research team of 6 people is to be formed from 10 chemists,5 politicians, 8 economists and 15 biologists.How many teams have atleast 5 chemists?

A) 7350 B) 6400
C) 6379 D) 7266
 
Answer & Explanation Answer: D) 7266

Explanation:

10C5 x 28C1 x 10C6 = 7266

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Q:

4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?

A) 4 B) 8
C) 12 D) 16
 
Answer & Explanation Answer: D) 16

Explanation:

Let the required number of bottles be x.

 

 

 

More weavers, More mats (Direct Proportion)

 

 

 

More days, More mats (Direct Proportion)

 

 

 

Wavers   4:8Days       4:8  :: 4:x

 

 

 

 4 x 4 x x = 8 x 8 x 4

 

 

 

=> x= 8*8*44*4

 

 

 

=>  x = 16.

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Q:

In a plane 8 points are colliner  out of 12 points, then the number of triangles we get with those 12 points is 

A) 20 B) 160
C) 164 D) 220
 
Answer & Explanation Answer: C) 164

Explanation:

For a triangle, we need 3 non-collinear points. So with 12 points (when all the 12 are such that any three non-collinear is12C3. But among them 8 points are collinear.

 

If all these 8 points are different we get 8C3 triangles as they are collinear.

 

In 12C3 triangles, we do not get 8C3 triangles

 

Therefore, The number of triangles we get = 12C3-8C3 = 164

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Filed Under: Permutations and Combinations
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Q:

How many 3-digit numbers can be formed with the digits 1,4,7,8 and 9 if the digits are not repeated ?

A) 60 B) 26
C) 50 D) 64
 
Answer & Explanation Answer: A) 60

Explanation:

Three digit number will have unit’s, ten’s and hundred’s place.

 

Out of 5 given digits any one can take the unit’s place.

 

This can be done in 5 ways. ...              (i)

 

After filling the unit’s place, any of the four remaining digits can take the ten’s place.

 

This can be done in 4 ways. ...              (ii)

 

After filling in ten’s place, hundred’s place can be filled from any of the three remaining digits.

 

This can be done in 3 ways. ... (iii) 

 

So,by counting principle, the number of 3 digit numbers = 5x 4 x 3 = 60

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Q:

The percentage of metals in a mine of zinc ore is 60%. Now the percentage of silver is 3/4% of metals and the rest is zinc. If the mass of ore extracted from the mine is 8000 kg, the mass (in kg) of zinc is

A) 5147 kg B) 4764 kg
C) 3587 kg D) 2125 kg
 
Answer & Explanation Answer: B) 4764 kg

Explanation:

Mass of zinc ore = 8000 kg


Mass of metal = 60% of 8000 = 4800 kg


Mass of silver in metal = 3/4 x 4800/100 = 36 kg


Mass of zinc = 4800 - 36 = 4764 kg.

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Filed Under: Percentage
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