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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The cost price of an article is Rs x. It is marked up by 200%. It is sold at Rs 540 after giving 25% discount. What is the value of x (in Rs)?

A) 360 B) 250
C) 300 D) 240
 
Answer & Explanation Answer: D) 240

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

Rizwan has a box in which he kept red and blue marbles. The red marbles and blue marbles were in the ratio 5 : 4. After he lost 5 red marbles the ratio became 10 : 9. How many marbles does he have now?

A) 81 B) 86
C) 76 D) 91
 
Answer & Explanation Answer: C) 76

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

7 hrs after a goods train passed a station, another train travelling at a speed of 54 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 11 hours. What is the speed of the goods train?

A) 39.6 km/hr B) 49.5 km/hr
C) 33 km/hr D) 26.4 km/hr
 
Answer & Explanation Answer: C) 33 km/hr

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Filed Under: Problems on Trains

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Q:

A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train?
     

A) 42 kmph B) 43 kmph
C) 40 kmph D) 45 kmph
 
Answer & Explanation Answer: C) 40 kmph

Explanation:

We know that,  Speed = Distance/time

 

Let the speed of the train be = x kmph

           NORMAL SPEED                           SPEED 5 KMPH MORE

          Distance = 360 Km                         Distance =360
 
          speed    =  X Kmph                        Speed = (x+5)
 
            Time =360/X                              Time =360/(x+15)
          

 

For the same journey if the speed increased 10 kmph more it will take 1 hour less

 


Time with original speed - time with increased speed = 1

 => (360/x) - (360/x+10) =  1                               

 =>  (360(x+5)-360x)/x(x+5) =1

 =>   360X + 1800 -360X  = X(X+5)

  =>   X^2 + 5x - 1800 = 0

  X = 40 or -45

 X cannot be negetive value
                  

 X = 40 kmph.

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Filed Under: Problems on Trains
Exam Prep: TOEFL , GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

4 3145
Q:

Two buses travel to a place at 45 km/hr and 60 km/hr respectively. If the second bus takes 51⁄2 hours less than the first for the journey, the length of the journey is:

A) 900 km B) 940 km
C) 990 km D) 1300 km
 
Answer & Explanation Answer: C) 990 km

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Filed Under: Time and Distance
Exam Prep: Bank Exams

4 3145
Q:

8 litres are drawn from a flask containing milk and then filledwith water. The operation is performed 3 more times. Theratio of the quantity of milk left and total solution is 81/625.How much milk the flask initially holds?

A) 10 ltr B) 20 ltr
C) 30 ltr D) 40 ltr
 
Answer & Explanation Answer: B) 20 ltr

Explanation:

Let initial quantity be Q, and final quantity be F

F = Q(1 - 8/Q)4

=> Q = 20

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Filed Under: Alligation or Mixture

5 3145
Q:

A student has to secure 40% marks to pass. He gets 67 and fails by 13 marks. What is the maximum marks?

A) 300 B) 200
C) 150 D) 240
 
Answer & Explanation Answer: B) 200

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Filed Under: Percentage
Exam Prep: Bank Exams

2 3144
Q:

If 5x - 17 = -x + 7, then x = ?

A) 4 B) 5
C) 7 D) 9
 
Answer & Explanation Answer: A) 4

Explanation:

Given equation  5x-17 = -x+7

Add 1x to each side of the equation

5x-17+x = -x+7+x

6x=24

x=4

 

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Filed Under: Logarithms
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO

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