Quantitative Aptitude - Arithmetic Ability Questions

Q:

A rectangular lawn of dimensions 80 m x 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m ?

A) Rs. 3600 B) Rs. 3800
C) Rs. 3900 D) Rs. 3700
 
Answer & Explanation Answer: C) Rs. 3900

Explanation:

Area = (l + b – d) d

= (80 + 60 – 10)10

=> 1300 sq.mts

=> 1300 x 3 = Rs.3900

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Filed Under: Area
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4 7251
Q:

If the radius of base and height of a cone are increased by 10%, find the percentage of increase of its volume

A) 33.5% B) 33.1%
C) 32.1% D) 53.1%
 
Answer & Explanation Answer: B) 33.1%

Explanation:

v1= 13πr12h1

 

v2=13πr22h2

 

% Increase in volume = (V2-V1) / (V2*100)

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Filed Under: Volume and Surface Area
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Q:

If (1 / 2.315) = 0.4319, find the value of (1 / 0.0002315).

 

A) 4319 B) 2315
C) 431.9 D) 231.5
 
Answer & Explanation Answer: A) 4319

Explanation:
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Filed Under: Decimal Fractions
Exam Prep: Bank Exams

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Q:

Mahesh bought 100 kg of rice for Rs. 1040 and sold it at a loss of as much money as he received for 30 kg rice. At what price did he sell the rice?

A) Rs. 7.46/kg B) Rs. 8/kg
C) Rs. 8.74/kg D) Rs. 8.56/kg
 
Answer & Explanation Answer: B) Rs. 8/kg

Explanation:

Let the selling price of the rice = Rs.P/kg

Now, according to the question,

1040 - 100p = 30p

=> p = 8/kg

 

Hence, the selling price of the rice = Rs. 8/kg

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Filed Under: Profit and Loss
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16 7223
Q:

In one year, the Amount collected for social welfare, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the amount was 7920, what was it in the beginning ?

A) 8800 B) 8650
C) 8000 D) 8980
 
Answer & Explanation Answer: C) 8000

Explanation:

Let the amount collected be 'A'
Then, from the given conditions,
A x 110/100 x 90/100 = 7920
A x 0.99 = 7920
A = 7920/0.99
=> 8000

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Filed Under: Percentage
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7 7220
Q:

April 19th, 1986 falls on which day?

A) Saturday B) Wednesday
C) Thursday D) Friday
 
Answer & Explanation Answer: A) Saturday

Explanation:

19th April, 1986 = (1985 years + Period from 1.1.1986 to 19.4.1986)

Odd days in 1600 years = 0

Odd days in 300 years = 1

85 years has 21 leap years + 64 ordinary years.

Number of odd days in 85 years =( 21 x 2 + 64) = 1 odd day.

Jan. Feb. March April

(31 + 28 + 31 + 19) = 109 days

109 days = 15 weeks + 4 days= 4 odd day.

Total number of odd days = (1 + 0 + 1 + 4) = 6.

Given day is Saturday.

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Filed Under: Calendar

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Q:

A shopkeeper gives 20% discount on the marked price of a book. He provides 1 pair of books free with the sale of 9 pair of books. In the whole transaction, he gets profit of 26%. Find the percentage increase in marked price from the cost price.

A) 35% B) 65%
C) 75% D) 26%
 
Answer & Explanation Answer: C) 75%

Explanation:

Given,Let the cost price of single book be Rs. 100.

The cost price of (9 + 1) = 10 pair i.e. 20 books = Rs. (100 × 20) = Rs. 2000.He gets profit of 26%.

So, the selling price of 9 pair i.e. 18 books = Rs. 2000 × (126/100) = Rs. 2520

Then,the selling price of single book = Rs. 2520/18 = Rs. 140

He gives 20% discount on the marked price of a book.

That means, when the selling price is Rs. 80 then the marked price is Rs. 100.

∴When the selling price of single book is Rs. 140, the marked price = Rs. 140 × (100/80) = Rs. 175

∴The percentage increase in marked price from the cost price = (175 –100)% = 75%

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Filed Under: Profit and Loss
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Q:

Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?

A) 27 7/9 mts B) 25 8/7 mts
C) 21 1/4 mts D) 22 mts
 
Answer & Explanation Answer: A) 27 7/9 mts

Explanation:
Relative speed = (40 - 20) km/hr = ( 20 x 5 ( m/sec = ( 50 ( m/sec.
18 9
Therefore Length of faster train = ( 50 x 5 ( m = 250 m = 27 7 m.
9 9 9
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Filed Under: Problems on Trains
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