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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Five men and nine women can do a piece of work in 10 days. Six men and twelve women can do the same work in 8 days. In how many days can three men and three women do the work  ?

A) 18 days B) 20 days
C) 16 days D) 14 days
 
Answer & Explanation Answer: B) 20 days

Explanation:

(5m + 9w)10 = (6m + 12w)8 

=> 50m + 90w = 48w + 96 w    => 1m = 3w

5m + 9w = 5m + 3m = 8m

 

8 men can do the work in 10 days.

3m +3w = 3m + 1w = 4m

So, 4 men can do the work in (10 x 8)/4 = 20 days.

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

9 17087
Q:

A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?

A) 4 B) 6
C) 8 D) None of the above
 
Answer & Explanation Answer: B) 6

Explanation:

The measure of the third side of a triangle must lie between the sum and the difference of the other two sides. Using this fact along with the answer choices, we can eliminate the wrong answers. 

 

    • Option A  cannot be correct because 4 would not be the longest side.(sides 4, 5, and 4)   

 

    • Option B could be correct because the other two sides would be 3 and 4.  

 

    • Option C cannot be correct because this third side would be greater than the sum of the other two sides.

 

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Filed Under: Area
Exam Prep: GRE

6 17067
Q:

If you deposit $6500 into an account paying 8% annual interest compounded monthly, how
much money will be in the account after 7 years?

A) 11358.24 B) 12334
C) 15789 D) 12386
 
Answer & Explanation Answer: A) 11358.24

Explanation:

FV=P(1+r/n)^nt

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

19 17036
Q:

The cube root of .000216 is:

A) .6 B) .06
C) 77 D) 87
 
Answer & Explanation Answer: B) .06

Explanation:

.00021613=21610613=6*6*6102*102*10213=6102=0.06

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Filed Under: Square Roots and Cube Roots

72 17029
Q:

How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?

A) 5600 B) 6000
C) 6400 D) 7200
 
Answer & Explanation Answer: C) 6400

Explanation:

Number of bricks = volume of the wall/volume of one brick 

= (800 x 600 x 22.5)/(25 x 11.25 x 6 )= 6400

 

 

 

 

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Filed Under: Volume and Surface Area

20 17024
Q:

The total of 324 of 20 paise and 25 paise make a sum of Rs. 71. The no of 20 paise coins is :

A) 50 B) 100
C) 150 D) 200
 
Answer & Explanation Answer: D) 200

Explanation:

Let the number  of 20 paise coins be x. Then the no of 25 paise coins = (324 - x).

0.20 * (x) + 0.25 (324 - x) = 71 => x = 200..

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Filed Under: Simplification

19 17006
Q:

If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area ?

A) 108 sq.cm B) 112 sq.cm
C) 116 sq.cm D) 120 sq.cm
 
Answer & Explanation Answer: D) 120 sq.cm

Explanation:

The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.

Area of the triangle =1/2 x base x height => 1/2 x 24 x 10 = 120 sq.cm

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Filed Under: Area
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

19 16986
Q:

1. The simple interest on a sum of money is Rs. 50. What is the sum?
I. The interest rate is 10% p.a.
II. The sum earned simple interest in 10 years

A) I alone sufficient while II alone not sufficient to answer B) II alone sufficient while I alone not sufficient to answer
C) Either I or II alone sufficient to answer D) Both I and II are necessary to answer
 
Answer & Explanation Answer: D) Both I and II are necessary to answer

Explanation:

Given : S.I. = Rs. 50.

I  gives,  R = 10% p.a.

II gives,  T = 10 years.

Sum = (100 x S.I)/(t x r ) =  Rs.(100 x 50)/(10 x 10) = Rs.50

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Filed Under: Simple Interest
Exam Prep: GRE

4 16984