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 Quantitative Aptitude - Arithmetic Ability Questions

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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

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

3 3255
Q:

Concept of Nehative Work

A tub can be filed in 20 minutes but there is a lekage in it which can empty the full tub in 60 minutes. In how many minutes it can be filled?

Answer

Filling efficiency = 5%        


Emptying efficiency = 1.66%  


Net efficiency = 5-1.66 = 3.33%


Therefore, Required time to fil the tub =100/3.33= 30 minutes

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Subject: Time and Work

2 3248
Q:

Divide Rs. 80 in the proportion of 3:6:7.

A) Rs. 10, Rs. 35, Rs. 40 B) Rs. 15, Rs. 30, Rs. 35
C) Rs. 15, Rs. 35, Rs.30 D) Rs. 10, Rs. 40, Rs. 35
 
Answer & Explanation Answer: B) Rs. 15, Rs. 30, Rs. 35

Explanation:

3/16 X 80, 6/16 X 80, 7/16 X 80
⇒ 15, 30, 35

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

7 3245
Q:

In the given figure, ∡QRU = 72°, ∡TRS = 15°, ∡PSR = 95° , then what is the value (in deg) of ∡PQR?

A) 85 B) 95
C) 75 D) 90
 
Answer & Explanation Answer: B) 95

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 3243
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 3238
Q:

A watch dealer sells watches at Rs 600 per watch. However,he is forced to give two successive discounts of 10% and 5% respectively. However, he recovers the sales tax on the net sale price from the customer at 5% of the net price. What price does a customer have to pay him to buy the watch?

A) Rs 539.75 B) Rs 539.65
C) Rs 538.75 D) Rs 538.65
 
Answer & Explanation Answer: D) Rs 538.65

Explanation:
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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO , Bank Clerk

2 3235
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

Explanation:
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Filed Under: Problems on Ages
Exam Prep: Bank Exams

10 3229
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

17 3226