Quantitative Aptitude - Arithmetic Ability Questions

Q:

Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?

A) 11/3 B) 2/13
C) 3/11 D) 13/4
 
Answer & Explanation Answer: C) 3/11

Explanation:

Let Veena paid x,
so Akshitha paid 2x/3 , and Lasya paid 2x,
So total bill paid is given by
x+(2x/3) +2x = 1, we get
i.e. x = 3/11

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14 17973
Q:

The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?

A) 6 B) 8
C) 4 D) 5
 
Answer & Explanation Answer: C) 4

Explanation:

Let the number of boys in the group originally be x.
Total weight of the boys = 30x
After the boy weighing 35 kg joins the group, total weight of boys = 30x + 35
So 30x + 35 + 31(x + 1) = > x = 4.

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7 17968
Q:

A boatman can row 96 km downstream in 8 hr. If the speed of the current is 4 km/hr, then find in what time he will be able to cover 8 km upstream ?

A) 1.5 hrs B) 1 hrs
C) 2.5 hrs D) 2 hrs
 
Answer & Explanation Answer: D) 2 hrs

Explanation:

Speed in downstream = 96/8 = 12 kmph

Speed of current = 4 km/hr

Speed of the boatman in still water = 12 – 4 = 8 kmph

Speed in upstream = 8 – 4 = 4 kmph

Time taken to cover 8 km upstream = 8/4 = 2 hours.

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18 17964
Q:

A car mechanic purchased four old cars for Rs. 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. what is the average sale price of the rest three cars to get 50% total profit if he has already sold one of the four cars at Rs. 1.2 lakh?

A) 1.5 lakh B) 1.1 lakh
C) 1.2 lakh D) 1.65 lakh
 
Answer & Explanation Answer: B) 1.1 lakh

Explanation:

Total cost of 4 cars =  1+2 = 3 lakh

 

Total S.P of 4 cars = 3 x 1.5 = 4.5 lakh   (Since S.P = 100 + Gain%100 x C.P)

 

 S.P of 1 car = 1.2 lakh 

 

S.P of rest 3 cars = 4.5 - 1.2 = 3.3 lakh

 

 Average S.P of all the 3 cars = 1.1 lakh

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64 17939
Q:

A is 3 times faster than B. If A can finish a work 32 days less than that of B, find the number of days need to finish the work if both are working together?

A) 12 days B) 24 days
C) 32 days D) 16 days
 
Answer & Explanation Answer: A) 12 days

Explanation:

It is given that efficiency ratio =3:1

so time ratio will be 1:3 (since work is same)

 

Also given that time diff = 32 days. ratio difference = 3-1 =2 

2 ratio = 32 days

1 ratio = 16 days.

So A will alone finish it in 16 days and B will finish it in 16*3 = 48 days.

 

Total work = LCM of 16 and 48 = 48.

Total time = Total work/Total efficiency 

ie; 48/4= 12 days.

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8 17927
Q:

In an NGO the daily average wages of 20 illiterate employees is decreased from Rs.25 to Rs.10, thus the average salary of  all the literate and illiterate  employees is decreased Rs.10 per day. The No. of educated employees working in the NGO is :

A) 15 B) 20
C) 10 D) Data Insufficient
 
Answer & Explanation Answer: C) 10

Explanation:

Total employees = 25-10×2010=30

 Hence number of educated employees  = 30-20 = 10

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32 17925
Q:

A man buys an item at Rs. 1200 and sells it at the loss of 20 percent. Then what is the selling price of that item

A) Rs. 660 B) Rs. 760
C) Rs. 860 D) Rs. 960
 
Answer & Explanation Answer: D) Rs. 960

Explanation:

Here always remember, when ever x% loss,
it means S.P. = (100 - x)% of C.P
when ever x% profit,
it means S.P. = (100 + x)% of C.P

So here will be (100 - x)% of C.P.
= 80% of 1200
= (80/100) * 1200
= 960

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32 17889
Q:

Find the number which when multiplied by 15 is increased by 196.

A) 10 B) 12
C) 14 D) 16
 
Answer & Explanation Answer: C) 14

Explanation:

Let the number be x. Then, 15x - x = 196 <=> 14x = 196 => x = 14..

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