Quantitative Aptitude - Arithmetic Ability Questions

Q:

Mr. Shankar spends 25% of his monthly salary on household expenditure, 20% of the remaining on children’s education, and the remaining is equally invested in three different schemes. If the amount invested in each scheme is Rs.5600, what is the monthly salary of Shankar ?

A) Rs. 34000 B) Rs. 31245
C) Rs. 24315 D) Rs. 28000
 
Answer & Explanation Answer: D) Rs. 28000

Explanation:

Let the monthly salary of Shankar be = Rs.x
Amount invested on expenditure = 25% = x/4;
Remaning amount = 3x/4;
Amount invested on children education = 20% i.e = 3x/20;
Remaining amount = 3x/4 - 3x/20 = 3x/5;
Remaining amount invested in three different schemes i.e is 1/3(3x/5)
=> x/5 = 5600
Therefore x = 28000
Hence, Monthly salary of Shankar is Rs. 28,000.

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Filed Under: Stocks and Shares
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Q:

Eight first class and six second class petty officers are on the board of the 56 club. In how many ways can the members elect, from the board, a president, a vice-president, a secretary, and a treasurer if the president and secretary must be first class petty officers and the vice-president and treasurer must be second class petty officers?

A) 1500 B) 1860
C) 1680 D) 1640
 
Answer & Explanation Answer: C) 1680

Explanation:

Since two of the eight first class petty officers are to fill two different offices, we write 8P2=56

 

Then, two of the six second class petty officers are to fill two different offices; thus, we write 6P2 =30

 

The principle of choice holds in this case; therefore, the members have 56 x 30 = 1680 ways to select the required office holders

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0 4943
Q:

On dividing a number by 96, we get 271 as quotient and 0 as remainder. On dividing the same number by 95, what will be the remainder ?

A) 87 B) 59
C) 92 D) 81
 
Answer & Explanation Answer: D) 81

Explanation:

Number = 271 x 96 + 0 = 26016

=> 95) 26016 (273
           25935
           --------
              81

Required number = 81.

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Filed Under: Problems on Numbers
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4 4941
Q:

An express traveled at an average speed of 100 km/hr, stopping for 4 min after every 75 km. How long did it take to reach its destination 600 km from the starting point ?

A) 6 hrs 24 min B) 6 hrs
C) 7 hrs 21 min D) 6 hrs 28 min
 
Answer & Explanation Answer: D) 6 hrs 28 min

Explanation:

Time taken to cover 600 km = 600/100 = 6 hrs.

Number of stoppages = 600/75 - 1 = 7

Total time of stoppages = 4 x 7 = 28 min

Hence, total time taken = 6 hrs 28 min.

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Filed Under: Time and Distance
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5 4940
Q:

On selling 17 balls at Rs.720 there is a loss equal to the cost price of 5 balls. Then what is the cost price of a ball is ?

Answer

From given data,


(C.P. of 17 balls) - (S.P. of 17 balls) = (C.P. of 5 balls)


C.P. of 12 balls = S.P. of 17 balls = Rs.720.


Hence, C.P. of 1 ball = Rs.720/12 = Rs. 60.

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Subject: Profit and Loss Exam Prep: AIEEE , Bank Exams , CAT , GATE
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11 4937
Q:

Manideep purchases 30kg of barley at the rate of 11.50/kg and 20kg at the rate of 14.25/kg. He mixed the two and sold the mixture in the shop. At what price per kg should he sell the mixture to make 30% profit to him ?

A) 15.84 B) 14.92
C) 13.98 D) 16.38
 
Answer & Explanation Answer: D) 16.38

Explanation:

Given, Manideep purchases 30kg of barley at the rate of 11.50/kg nad 20kg at the rate of 14.25/kg.

Total cost of the mixture of barley = (30 x 11.50) + (20 x 14.25)

=> Total cost of the mixture = Rs. 630

Total kgs of the mixture = 30 + 20 = 50kg

Cost of mixture/kg = 630/50 = 12.6/kg

To make 30% of profit

=> Selling price for manideep = 12.6 + 30% x 12.6

=> Selling price for manideep = 12.6 + 3.78 = 16.38/kg.

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Filed Under: Alligation or Mixture
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11 4933
Q:

A container contains 120 lit of Diesel. From this container, 12 lit of Diesel was taken out and replaced by kerosene. This process was further repeated for two times. How much diesel is now there in the container ?

A) 88.01 lit B) 87.48 lit
C) 87.51 lit D) 87.62 lit
 
Answer & Explanation Answer: B) 87.48 lit

Explanation:

For these type of problems,

Quantity of Diesel remained = q1-pqn   

 

Here p = 12 , q = 120 

 

=> 1201-121203 = 120 x 0.9 x 0.9 x 0.9 = 87.48 lit.

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14 4930
Q:

A lady took loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 5400 interest only for the period. The principal amount borrowed by her was :

A) Rs. 15,000 B) Rs. 1,50,000
C) Rs. 1500 D) Rs. 1,62,000
 
Answer & Explanation Answer: A) Rs. 15,000

Explanation:

Principal = Rs.(100 x 5400)/(12 x 3)= Rs. 15000.

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Filed Under: Simple Interest
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