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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

What is the value of (81 + 82 + 83 + ......... +130)?

A) 5275 B) 10550
C) 15825 D) 21100
 
Answer & Explanation Answer: A) 5275

Explanation:
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Filed Under: Numbers
Exam Prep: Bank Exams , CAT

16 3208
Q:

X and Y together can do a piece of work in 30 days. Y and Z together can do the work in 20 days. X starts the work and works for 15 days then Y takes that work and works for 27 days. Finally Z finishes the remaining work in 9 days. In how many days Y alone can complete the entire work?

 

A) 60 B) 45
C) 50 D) 65
 
Answer & Explanation Answer: A) 60

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Filed Under: Time and Work
Exam Prep: Bank Exams

3 3202
Q:

Savita sold an item for 6,500 and incurred a loss of 20%. At what price should she have sold the item to have gained a profit of 20%?

A) 10,375 B) 9,750
C) 8,125 D) Cannot be determined
 
Answer & Explanation Answer: B) 9,750

Explanation:

C.P of article = 6500 * (100/80) = Rs. 8125 S.P for a gain of 20% = (8125*120)/100 = Rs. 9750

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Filed Under: Profit and Loss

3 3200
Q:

If the mean of m observations out of n observations is n and the mean of remaining observations is m, then what is the mean of all n observations?

A) 2m –m^2/n B) 2m –m/n
C) 2m D) 2m –m
 
Answer & Explanation Answer: A) 2m –m^2/n

Explanation:

Mean of m observations is n

Mean of n-m observations is m

So total = nm+ (n-m)m

Total observations = n

Mean = Total / Total observations = (2mn-m^2)/n = 2m –m^2/n

 

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Filed Under: Simplification
Exam Prep: Bank Exams

0 3198
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
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4 3196
Q:

The ratio of present ages of Rahul and his sister is 3 : 4. Before 10 years the ratio of their ages was 13:19. What is Rahul's present age (in years)?

A) 36 B) 48
C) 42 D) 54
 
Answer & Explanation Answer: A) 36

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

10 3192
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

0 3191
Q:

Giving two successive discounts of 25% is equal to giving one discount of ________%.

A) 43.75 B) 56.25
C) 50 D) 45
 
Answer & Explanation Answer: A) 43.75

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Filed Under: Percentage
Exam Prep: Bank Exams

2 3185