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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

If 4/7 of P is equal to 12/14 of Q, then what is P : Q?

 

A) 15 : 8   B) 14 : 9  
C) 7 : 8   D) 3 : 2
 
Answer & Explanation Answer: D) 3 : 2

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

2 19309
Q:

Rs.100 doubled in 5 years when compounded annually. How many more years will it take to get another Rs.200 compound interest

A) 3years B) 5years
C) 6years D) 7years
 
Answer & Explanation Answer: B) 5years

Explanation:

Rs.100 invested in compound interest becomes Rs.200 in 5 years.

The amount will double again in another 5 years.

i.e., the amount will become Rs.400 in another 5 years.

So, to earn another Rs.200 interest, it will take another 5 years.

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

14 19308
Q:

A child has three different kinds of chocolates costing  Rs.2, Rs.5, Rs.10.  He spends total Rs. 120 on the chocolates. what is the minimum possible number of chocolates he can buy, if there must be  atleast one chocolate of each kind?

A) 22 B) 19
C) 17 D) 15
 
Answer & Explanation Answer: C) 17

Explanation:

Minimum number of chocolates are possible when he purchases maximum number of costliest chocolates.

Thus,          2 x 5 + 5 x 2 =Rs.20

Now Rs.100 must be spend on 10 chocolates as 100 = 10 x 10.

Thus minumum number of chocolates = 5 + 2 + 10 = 17

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Filed Under: Ratios and Proportions

48 19284
Q:

Amar can do a piece of work in 10 days. He works at it for 4 days and then Arun finishes it in 9 days. In how many days can Amar and Arun together finish the work ?

A) 4 days B) 8 days
C) 3 days D) 6 days
 
Answer & Explanation Answer: D) 6 days

Explanation:

4/10 + 9/x = 1     => x = 15 

 

Then both can do in 

1/10 + 1/15 = 1/6     => 6 days

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

19 19252
Q:

54 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :

A) 24 B) 34
C) 44 D) 54
 
Answer & Explanation Answer: B) 34

Explanation:

Let the two parts be (54 - x) and x.

Then, 10 (54 - x) + 22x = 780

=> 12x = 240  

=>  x = 20.

Bigger part = (54 - x)  = 34.

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Filed Under: Problems on Numbers

17 19225
Q:

A man travelled a distance of 80 km in 7 hours partly on foot at the rate of 8 km per hour and partly on bicycle at 16 km /hr. Find the distance travelled on foot ?

Answer

Let the Journey on foot be x km


Journey on cycle = (80 – x) km


∴x8+80-x16= 7 


=> x = 32km


Therefore,  Distance covered on foot in 4 hrs = ( 4 x 8) = 32 km

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Subject: Alligation or Mixture

54 19152
Q:

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train ?

A) 69.5 km/hr B) 70 km/hr
C) 79 km/hr D) 79.2 km/hr
 
Answer & Explanation Answer: D) 79.2 km/hr

Explanation:

Let the length of the train be x metres and its speed by y m/sec.


Then, x/y = 8 => x = 8y


Now, (x+264)/20 = y
8y + 264 = 20y
y = 22.
Speed = 22 m/sec = (22*18/5) km/hr = 79.2 km/hr.

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Filed Under: Problems on Trains

61 19121
Q:

The difference between a positive proper fraction and its reciprocal is 9 / 20. Then the fraction is :

A) 3/5 B) 3/10
C) 4/5 D) 5/4
 
Answer & Explanation Answer: C) 4/5

Explanation:

Let the required fraction be x. Then, (1 / x )- x = 9/20
1 - x^(2) / x = 9 / 20  =>  20 - 20 * x^(2) = 9 * x.
20 * x^(2) + 9 *x - 20 = 0.
=> (4 * x + 5) (5 * x - 4) = 0.
=> x = 4 / 5.

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Filed Under: Numbers

34 19098