Quantitative Aptitude - Arithmetic Ability Questions

Q:

5 + 2 x 10/2 = ?

A) 15 B) 35
C) 10 D) 20
 
Answer & Explanation Answer: A) 15

Explanation:

Using BODMAS Rule,

First solve division, mutiplication and Addition

So here 10/2 = 5

Then 2 x 5 =  10

Now, 5 + 10 = 15.

 

Hence, 5 + 2 x 10/2 = 15.

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Filed Under: Simplification
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Q:

A bike runs at the speed of 35 km/h when not serviced and runs at 55 km/h, when serviced. After servicing the bike covers a certain distance in 5 h. How much approximate time will the bike take to cover the same distance when not serviced?

A) 8 hrs B) 7.5 hrs
C) 7 hrs D) 6.5 hrs
 
Answer & Explanation Answer: A) 8 hrs

Explanation:

Given speed of the bike after servicing = 55 kmph

Time taken for travelling some distance at 55 kmph = 5 hrs

Then, 

Distance = Speed x Time = 55 x 5 = 275 kms.

Now, 

Speed of the bike before servicing = 35 kmph

Distance = 275 kms

Now, Time = Distance/Speed = 275/35 = 7.85 hrs =~ 8 hrs.

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Filed Under: Time and Distance
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Q:

A number when subtracted by 1/7 th of itself gives the same value as the sum of all the angles of a triangle. What is the number?

A) 420 B) 210
C) 70 D) 35
 
Answer & Explanation Answer: B) 210

Explanation:

Let the required number be 'p'

We know, sum of angles in a triangle are 180 deg

According to given data,

p - p/7 = 180

7p - p = 180 x 7

=> 6p = 1260

=> p = 1260/6 = 210

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Filed Under: Problems on Numbers
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Q:

If x = 2 + 223 + 213 then find the value of x3-6x2+6x ?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

Explanation:

Given that x = 2+ 223 + 213

 

So x - 2 = 223 + 213

 

Now cubing on both sides, we get

 

 

=> x3-8-6x2+12x = 4 + 2 + 6(x-2)

 

Therefore, x3-6x2+6x = -6 + 8 = 2

 

 

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Filed Under: Square Roots and Cube Roots
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Q:

P starts a business with Rs 14000. After 8 months Q joins P with Rs 8000. After 3 years, what will be the ratio of the profit of P and Q?

A) 12 : 5 B) 9 : 4
C) 14 : 9 D) 15 : 8
 
Answer & Explanation Answer: B) 9 : 4

Explanation:
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Filed Under: Partnership
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Q:

How much water (in litres) must be added to 80 litres solution of milk and water containing 10% milk, so that it becomes a 5% milk solution?

A) 10 B) 20
C) 40 D) 80
 
Answer & Explanation Answer: D) 80

Explanation:
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Filed Under: Alligation or Mixture
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Q:

If 1st January 2013 was Wednesday, then what day of the week was it on 2nd January 2014?

A) Wednesday B) Thursday
C) Tuesday D) Friday
 
Answer & Explanation Answer: D) Friday

Explanation:
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Filed Under: Calendar
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Q:

The average of 50 consecutive natural numbers is x. What will be the are average when the next four natural numbers are also included?

A) x + 1 B) x + 2
C) x + 4 D) x + (x/54)
 
Answer & Explanation Answer: B) x + 2

Explanation:
Sum of n consecutive natural numbers = n(n+1)/2
Average of n consecutive natural numbers = (n+1)/2
For first 50 average = 51/2 = x
Last 50 average = 55/2 = x+2
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Filed Under: Average
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