Quantitative Aptitude - Arithmetic Ability Questions

Q:

The percentage discount offered for "Buy 6 get 1 free is" ?

A) 85.78 % B) 58. 48 %
C) 19.25 % D) 14.285 %
 
Answer & Explanation Answer: D) 14.285 %

Explanation:

Total Items = 7
Discounted = 1
Percentage = 1/7 x 100
= 14.285%

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Filed Under: Percentage
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16 14555
Q:

Three milkmen rented a pasture. A grazed 24 cows for 4 months; B 10 cows for 6 months; C 56 cows for 5 months. If A's share of rent is Rs. 960, find the total rent of the field?

A) 4530 B) 4440
C) 4360 D) 4280
 
Answer & Explanation Answer: C) 4360

Explanation:

Ratio of shares of A,B,C = (24 x 4) : (10 x 6) : (56 x 5)

                                    = 96 : 60 : 280.

 

Let total rent be Rs. x. Then, A's share = Rs.96x436

 96x436=960 x=960×43696=4360

 

Hence total rent of the field is Rs. 4360.

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Filed Under: Partnership
Exam Prep: CAT
Job Role: Bank PO

11 14538
Q:

Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a girl sitting at window seat in the slower train in 32 seconds. Find the length of the faster train ?

A) 170 m B) 100 m
C) 270 m D) 320 m
 
Answer & Explanation Answer: D) 320 m

Explanation:

Relative speed = (72 - 36) x 5/18 = 2 x 5 = 10 mps.
Distance covered in 32 sec = 32 x 10 = 320 m.

The length of the faster train = 320 m.

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Filed Under: Problems on Trains
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11 14537
Q:

A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 840 km ?

A) 39 days B) 37 days
C) 35 days D) 33 days
 
Answer & Explanation Answer: C) 35 days

Explanation:

Distance d = 1200km
let S be the speed

he walks 15 hours a day(i.e 24 - 9)
so totally he walks for 70 x 15 = 1050hrs.

S = 1200/1050 => 120/105 = 24/21 => 8/7kmph


given 1 1/2 of previous speed
so 3/2 * 8/7= 24/14 = 12/7

New speed = 12/7kmph

Now he rests 10 hrs a day that means he walks 14 hrs a day.

time = 840 x 7 /12 => 490 hrs
=> 490/14 = 35 days

So he will take 35 days to cover 840 km.

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Filed Under: Time and Distance
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20 14514
Q:

A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is

A) 20 B) 21
C) 22 D) 23
 
Answer & Explanation Answer: C) 22

Explanation:

Let the son's present age be x years. Then, man's present age = (x + 24) years
=> (x + 24) + 2 = 2(x + 2)
=> x + 26 = 2x + 4
So, x = 22

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Filed Under: Problems on Ages

43 14508
Q:

On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is  ?

A) 476190476 B) 48617
C) 47619 D) 4587962
 
Answer & Explanation Answer: C) 47619

Explanation:

By hit and trail, we find that

47619 x 7 = 333333.

7) 333333 (47619
    333333
----------------
        0

And 476190476 x 7 = 3333333333 but smallest number is 47619.

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Filed Under: Problems on Numbers
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16 14474
Q:

What should come in place of x in the following equation?

 x128 = 162x

A) 13 B) 12
C) 17 D) 16
 
Answer & Explanation Answer: B) 12

Explanation:

x128 = 162x

 

Then x2 = 162x128

  

   = Sqrt of 82 x 62 x 32

 

   = 8 x 6 x 3

 

   x2  = 144.

 

 x  = 12.

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Filed Under: Square Roots and Cube Roots
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8 14444
Q:

A shopkeeper sold a mobile phone for Rs. 12000. Had he offered discount of 10% on the selling price, there would be a loss of 4%. What is the cost price of that Mobile phone?

A) Rs. 12,500 B) Rs. 11,250
C) Rs. 12,750 D) Rs. 11,680
 
Answer & Explanation Answer: B) Rs. 11,250

Explanation:

Given that SP = Rs. 12000 - 10%  = Rs. 10,800

Loss% = 4

We know that, C.P = 100/(100 - Loss%) x 100

=> 100/100-4 x 10800

=> 1080000/96

C.P = Rs. 11,250

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Filed Under: Profit and Loss
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