Quantitative Aptitude - Arithmetic Ability Questions

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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Filed Under: Average

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Q:

The simple interest on Rs.10 for 4 months at the rate of 3 paise per month is

A) 0.3 Paise B) 1.2 Paise
C) 30 Paise D) 3 Paise
 
Answer & Explanation Answer: B) 1.2 Paise

Explanation:

Given Principal amount P = Rs. 10

 Time T = 4 months

 Rate of interest R = 3 ps

 Interest I = PTR/100 = (10 x 4 x 3)/100 = 12/10 = 1.2 paise.

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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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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

64 17369
Q:

By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at:

A) 80 B) 96
C) 106 D) 108
 
Answer & Explanation Answer: B) 96

Explanation:

To earn Rs. 135, investment = Rs. 1620.

 

To earn Rs. 8, investment =Rs.1620135×8= Rs. 96.

 

Market value of Rs. 100 stock = Rs. 96.

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Filed Under: Stocks and Shares

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Q:

A man covers half of his journey by train at 60 km/hr, half of the remaining by bus at 30 km/hr and the rest by cycle at 10 km/hr. Find his average speed during the entire journey?

A) 32 kmph B) 20 kmph
C) 18 kmph D) 24 kmph
 
Answer & Explanation Answer: D) 24 kmph

Explanation:

Let the total distance of the journey of a man = d kms

Now, the average speed of the entire journey = dd120 + d120 + d40  = 24 kmph.

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Q:

Two trains starting at the same time from two stations 200 km apart and going in opposite directions cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds?

A) 9 : 20 B) 11 : 9
C) 11 : 20 D) None of these
 
Answer & Explanation Answer: B) 11 : 9

Explanation:

In the same time, they cover 110 km and 90 km respectively.

Therefore, Ratio of their speeds = 110 : 90 = 11 : 9

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Filed Under: Time and Distance

18 17342
Q:

Two pipes A and B can fill a tank in 24 hours and 1717 hours respectively. Harihar opened the pipes A and B to fill an empty tank and some times later he closed the taps A and B , when the tank was supposed to be full. After that it was found that the tank was emptied in 2.5 hours because an outlet pipe "C" connected to the tank was open from the beginning. If Harihar closed the pipe C instead of closing pipes A and B the remaining tank would have been filled in :

A) 2 hours B) 8 hours
C) 6 hours D) 4 hours
 
Answer & Explanation Answer: B) 8 hours

Explanation:

Efficiency of Inlet pipe A = 4.16%       10024 

 

Efficiency of Inlet pipe B = 5.83%      1001717  

 

Therefore, Efficiency of A and B together = 100 %   

 

Now, if the efficiency of outlet pipe be x% then in 10 hours the capacity of tank which will be filled = 10 *  (10 - x)

 

Now, since this amount of water is being emptied by 'C' at x% per hour, then

 

 10x10-xx=2.5 hrs 

 => x = 8 

 

Therefore, in 10 hours 20% tank is filled only. Hence, the remaining 80% of the  capacity will be filled by pipes A and B  in 80/10 = 8 hours 

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

38 17340
Q:

In a class of 39 students the ratio of boys and girls is 2 : 1. Radhika ranks 15th among all the students from top and 8th among girls from bottom. How many boys are there below Radhika ?

A) 9 B) 17
C) 11 D) 15
 
Answer & Explanation Answer: B) 17

Explanation:

Total student= 39, boys : girls = 2:1, hence no of boys= 2/3(39)= 26
num of girls= 1/3(39) = 13 , since radhika ranked 15 among 39 student from top
and ranked 8 among girls from bottom , this means 7 girls are below radhika, rest 13-9= 5 girls are above her, now from 14 toper 5 are girls hence 14-5=9 boys.
Hence num of boys below radhika are 26-9=17

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

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