Quantitative Aptitude - Arithmetic Ability Questions

Q:

A semicircular shaped window has diameter of 63cm. Its perimeter equals

A) 162 B) 132
C) 142 D) 172
 
Answer & Explanation Answer: A) 162

Explanation:

perimeter of window = πr+2r 

= [(22/7) x (63/2) + 63] = 99+63 = 162 cm

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Filed Under: Area
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16 16742
Q:

The marked price of an article is increased  by 25% and the selling price is increased by 16.66%, then the amount of profit doubles. If the original marked price  be Rs. 400 which is greater than the corresponding cost price by 33.33% , what is the increased selling price?

A) 240 B) 360
C) 420 D) 600
 
Answer & Explanation Answer: C) 420

Explanation:

Initially                 CP           profit            SP                MP

 

                              100           x               (100+x)         133.33

 

After Change     100           2x             (100+x)   

 

Now,   Since (100+x)  - 100 = 2x

 

           76 x= 20%

 

                         CP            Profit              SP             MP

 

                        100             20               120           133.33

 

So,                  300             60               360             400

 

Again             300            120              420

 

So the increased selling price = Rs. 420

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Filed Under: Profit and Loss

62 16731
Q:

If two complimentary angles are in the ratio of 4 : 5, find the greater angle.

 

A) 40 deg B) 50 deg
C) 60 deg D) 30 deg
 
Answer & Explanation Answer: B) 50 deg

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

1 16724
Q:

Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?

A) 10 B) 25
C) 12 D) 20
 
Answer & Explanation Answer: C) 12

Explanation:

Speed of train 1 = 12010m/sec = 12 m/sec 

Speed of train 2 =12015m/sec  = 8 m/sec 

if they travel in opposite direction, relative speed = 12 + 8 = 20 m/sec

distance covered = 120 + 120 = 240 m

time = distance/speed = 240/20 = 12 sec

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Filed Under: Problems on Trains

22 16720
Q:

The number of ways that 8 beads of different colours be strung as a necklace is 

A) 2520 B) 2880
C) 4320 D) 5040
 
Answer & Explanation Answer: A) 2520

Explanation:

The number of ways of arranging n beads in a necklace is (n-1)!2=(8-1)!2=7!2 = 2520 

(since n = 8)

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Filed Under: Permutations and Combinations
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27 16698
Q:

In a 48 ltr mixture, the ratio of milk and water is 5:3. How much water should be added in the mixture so as the ratio will become 3:5 ?

A) 24 lit B) 16 lit
C) 32 lit D) 8 lit
 
Answer & Explanation Answer: C) 32 lit

Explanation:

Given mixture = 48 lit

Milk in it = 48 x 5/8 = 30 lit

=> Water in it = 48 - 30 = 18 lit

Let 'L' lit of water is added to make the ratio as 3:5

=> 30/(18+L) = 3/5

=> 150 = 54 + 3L

=> L = 32 lit.

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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36 16676
Q:

A man’s current age is 25 of the age of his father. After 8 years, he will be 12 of the age of his father. What is the age of father at now ?

A) 50 B) 40
C) 33 D) 30
 
Answer & Explanation Answer: B) 40

Explanation:

Let, father’s current age is A years.
Then, Man’s current age = 25*Ayears.

 25*A+8=12A+8

2(2A+40) = 5(A+8)

A = 40

 



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Filed Under: Problems on Ages

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Q:

How many cubes of 10cm edge can be put in a cubical box of 1m edge

A) 10 B) 100
C) 1000 D) 10000
 
Answer & Explanation Answer: C) 1000

Explanation:

Number of cubes= (100x100x100) / (10x10x10)= 1000

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
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45 16674