Quantitative Aptitude - Arithmetic Ability Questions

Q:

A is thrice efficient as B and C is twice as efficient as B. what is the ratio of number of days taken by A,B and C, when they work individually?

A) 2:6:3 B) 2:3:6
C) 1:2:3 D) 3:1:2
 
Answer & Explanation Answer: A) 2:6:3

Explanation:

                                                A    :    B    :    C   

Ratio of efficiency               3     :    1    :    2   

Ratio of No.of days            1/3  :   1/1  :   1/2    

     or                                       2    :    6    :    3   

Hence A is correct.  

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Filed Under: Time and Work

45 28076
Q:

A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:

A) 4pm B) 5pm
C) 6pm D) 7pm
 
Answer & Explanation Answer: A) 4pm

Explanation:

Time from 7 am to 4.15 pm  = 9 hrs 15 min = 374 hrs 

 

3 min. 5 sec. of this clock = 3 min. of the correct clock. 

 

Now 3min.5sec. is37720 hrs of this clock = 3 min.is120 hrs of the correct clock 

 

374 hrs of clock = 120×72037×374 hrs of the correct clock. 

 

  = 9 hrs of the correct clock. 

 

 The correct time is 9 hrs after 7 am. i.e., 4 pm.

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

89 28060
Q:

The diagonal of the floor of a rectangular closet is 712 feet. The shorter side of the closet is 412 feet. What is the area of the closet in square feet?

A) 9 B) 18
C) 27 D) 36
 
Answer & Explanation Answer: C) 27

Explanation:

Other side = d2-s22254-814 = 1444 = 6 ft

 

  Area of closet = (6 x 4.5) sq. ft = 27 sq. ft.

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Filed Under: Area
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

13 28044
Q:

A man traveled from the village to the post-office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village ?

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

Explanation:

Average speed = 2aba+b, here a=25 b=4
= 2 x 25 x 4/(25+4) = 200/29 km/hr.

Distance covered in 5 hours 48 minutes
= Speed x time = (200/29)x (29/5) Distance covered in 5 hours 48 minutes = 40kms.

Distance of the post office from the village = (40/2) = 20 km.

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

32 28044
Q:

 In the following question, select the odd word from the given alternatives.

 

A) Rain B) Steam
C) Ice D) Evaporation
 
Answer & Explanation Answer: D) Evaporation

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

1 28036
Q:

The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field?

A) 20 m B) 30 m
C) 40 m D) 50 m
 
Answer & Explanation Answer: A) 20 m

Explanation:

Let breadth=x meters.   Then, Length =115x100 meters 

Given that, x×115x100=460  

=> x = 20  

Breadth = 20 

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

34 28000
Q:

If 36 men can do a piece of work in 25 hours, in how mwny hours will15 men do it?

A) 40 B) 50
C) 60 D) 70
 
Answer & Explanation Answer: C) 60

Explanation:

Let the required no of hours be x. Then

 

Less men , More hours    (Indirct Proportion)

 

Therefore,  15:36 ::25:x 

=> (15 x X)=(36 x 25)  => x = 60

 

Hence, 15 men can do it in 60 hours.

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Filed Under: Chain Rule

96 27988
Q:

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

A) 3 hrs 15 min B) 3 hrs 45 min
C) 4 hrs 15 min D) 4 hrs 1
 
Answer & Explanation Answer: B) 3 hrs 45 min

Explanation:

Time taken by one tap to fill half of the tank = 3 hrs.

 

  Part filled by the four taps in 1 hour =4*1/6 =2/3

 

Remaining part =1-12=12

 

23:12::1:x

 

=> x = 12*1*32=34

 

So, total time taken = 3 hrs. 45 mins.

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Filed Under: Pipes and Cistern

85 27964