Quantitative Aptitude - Arithmetic Ability Questions

Q:

How many squares with sides 1/2 inch long are needed to cover a rectangle that is 4 ft long and 4 ft wide ?

A) 9216 B) 10246
C) 12345 D) 7527
 
Answer & Explanation Answer: A) 9216

Explanation:

It takes four of those little squares -- each one 1/2 inch on a side -- to cover one square inch. That's because each one is 1/2 x 1/2, or 1/4 of a square inch.
In a rectangle that is 48 inches by 48 inches, there are 2304 square inches.(1 ft = 12 inches)
Since it takes 4 little squares to cover 1 sq inch, then it would need 2304 x 4 squares (1/2 inch on a side each) to cover a rectangle 4 feet by 4 feet.

That is 9,216 of those squares.

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Filed Under: Volume and Surface Area
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7 4615
Q:

One hour is what percent of a day?

A) 5.6% B) 4.16%
C) 3.35% D) 6.7%
 
Answer & Explanation Answer: B) 4.16%

Explanation:

A day has 24 hrs

=> If 24 hrs - 100

Then 1 hr = ?

100/24 = 4.16%

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31 4613
Q:

When $720 is invested for 36 months it earns $205.20 simple interest. Find the yearly interest rate.

A) 7.5% B) 8.5%
C) 9.5% D) 10.5%
 
Answer & Explanation Answer: C) 9.5%

Explanation:

r = (100 x I)/(P x T)

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Filed Under: Simple Interest
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3 4611
Q:

The price of a car is increased by 25%, by how much percent, must the new price of this car be decreased to restore its original price ?

A) 20% B) 24%
C) 21% D) 25%
 
Answer & Explanation Answer: A) 20%

Explanation:

Suppose that the original price of the car = Rs. x 

Then new price of the car

=> (x) + (×25/100) Rs. 5x/

To restore the original price, the new price must be decreased by

5x/− x/4

So required percentage =(x/4)/(5x/4) × 100%

= 20%

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7 4605
Q:

If 3a=4b=6c and a+b+c=2729, then a2+b2+c2 =?

A) 81 B) 83
C) 87 D) None of these
 
Answer & Explanation Answer: C) 87

Explanation:

4b=6cb=32c    and   3a=4ba=43b=43(32c)=2c 

a+b+c=2729   2c+32c+c=2729  c=629

 

 a2+b2+c2=(a+b+b)2-2(ab+bc+ca) 

 

=(2729)2-22c×32c+32c×c+c×2c 

 

 =729×29-2×132 c2

= 87

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12 4603
Q:

Arun has certain number of books. It is not less than 15 and not more than 30. If he wants to give these books equally to 2 of his friends, then 1 book will remain. If he wants to give these books equally to 3 of his friends, then 2 books will remain. If he wants to give these books equally to 4 of his friends, then 3 books will remain. What is the number of books he had ?

A) 19 B) 23
C) 17 D) 15
 
Answer & Explanation Answer: B) 23

Explanation:

If he wants to give these books equally to 2 of his friends, then 1 book will remain, it means possible number of books = 15,17,19,21,23,25,27,29
If he wants to give these books equally to 3 of his friends, then 2 books will remain, it means possible number of books = 17,20,23,26,29
If he wants to give these books equally to 4 of his friends, then 3 book will remain, it means possible number of books = 15,19,23,27
common number is only 23 so it will be answer

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4 4596
Q:

A 150 m long train crosses another 210 m long train running in the opposite direction in 10.8 seconds. If the shorter train crosses a pole in 12 seconds, what is the speed of longer train ?

A) 75 kmph B) 80 kmph
C) 54 kmph D) 45 kmph
 
Answer & Explanation Answer: A) 75 kmph

Explanation:

Total distance = 150 + 210 = 360 mts

Time taken to cross each other when moving in opposite direction = 10.8 sec

Relative speed of trains = (350/10.8) x 18/5 = 3600/30 = 120 kmph

Speed of shorter train = (150/12) x 18/5 = 45 kmph

 

Hence, speed of longer train = 120 - 45 = 75 kmph.

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6 4595
Q:

Rohan spends 24% of an amount of money on an insurance policy, 34% on food, 19% on children’s education and 17% on recreation. He deposits the remaining amount of Rs. 540 in bank. How much total amount does he spend on food and insurance policy together?

A) Rs. 6350 B) Rs. 5220
C) Rs. 5890 D) Rs. 6458
 
Answer & Explanation Answer: B) Rs. 5220

Explanation:

Remaining % of amount with Rohan

= 100 - (24 + 34 + 17 + 19)

= 100 - 94

= 6%

=> 6% = 540

=> 100% = ?

540 x 100/6 = Rs. 9000

Now, Money spent on insurance and food is

= 34 + 24 = 58% of 9000

= 58 x 9000/100

= 58 x 90

= Rs. 5220

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5 4593