Quantitative Aptitude - Arithmetic Ability Questions

Q:

What time will it be 18 hours from now in India, if in the USA it is 4:15 AM?

(Hint : IST = US + 9:30 hrs)

A) 1:45 in the afternoon B) 7:45 in the evening
C) 7:45 in the next morning D) 1:45 in the next morning
 
Answer & Explanation Answer: C) 7:45 in the next morning

Explanation:

We know that the time difference between India and USA is 9 hrs 30 min.

India is 9:30 hrs ahead of USA.

Time in India = 4:15 + 9:30 = 13:45 PM.

Required Time after 18 hrs = 13:45 + 18 hrs = 7:45 AM.

 

Hence it is 7:45 AM on the next morning.

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20 21734
Q:

If HCF of two numbers is 8,which of the following can never be their LCM?

A) 32 B) 48
C) 60 D) 152
 
Answer & Explanation Answer: C) 60

Explanation:

60 is not a multiple of 8

 

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Filed Under: HCF and LCM
Exam Prep: Bank Exams

51 21721
Q:

Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds?

A) 48 B) 24
C) 38 D) 36
 
Answer & Explanation Answer: B) 24

Explanation:

Less Cogs  more turns and less time  less turns

 

    Cogs  Time  TurnsA  54       45       80B   32       8          ?

Number of turns required=80 × 54/32 × 8/45  = 24 times

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Filed Under: Problems on Trains

57 21670
Q:

The interest on a certain deposit at 4.5% p.a. is Rs. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a.  ?

A) Rs. 22.5 B) Rs. 2.5
C) Rs. 202 D) Rs. 25
 
Answer & Explanation Answer: A) Rs. 22.5

Explanation:

We know that I = PTR/100
=> P = 20250/4.5 = 4500
Now, new Interest at 5% = 4500x1x5/100 = 225
Now the additional amount = 225 - 202.5 = Rs. 22.5

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

18 21620
Q:

Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:

A) 60 gallons B) 100 gallons
C) 120 gallons D) 180 gallons
 
Answer & Explanation Answer: C) 120 gallons

Explanation:

Work done by the waste pipe in 1 minute =115-120+124=115-11120 = -140 [-ve sign means emptying]

 

Volume of 140part = 3 gallons

 

Volume of whole = (3 x 40) gallons = 120 gallons.

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Filed Under: Pipes and Cistern
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

37 21620
Q:

A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400  m3. The emptying capacity of the tank is 10 m3 per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?

A) 50 m^3/min B) 60 m^3/min
C) 72 m^3/min D) None of these
 
Answer & Explanation Answer: A) 50 m^3/min

Explanation:

Let the filling capacity of the pump be x m3/min. 

Then, emptying capacity of the pump=(x+10)m3/min.  

so,2400x-2400x+10=8 x2+10x-3000=0 

 

x-50+x+60=0 x=50

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Filed Under: Pipes and Cistern
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

38 21614
Q:

Which of the following statement is correct about a triangle?

 

A) If the triangles are congruent then their area will be equal B) If the areas of two similar triangles are equal then the triangle is congruent
C) Two congruent triangles are always similar to each other D) All options are correct
 
Answer & Explanation Answer: D) All options are correct

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 21613
Q:

Find the number of bricks, each measuring 24 cm x 12 cm x 8 cm, required to construct a wall 24 m long, 8m high and 60 cm thick, if 10% of the wall is filled with mortar?

A) 35000 B) 45000
C) 55000 D) 65000
 
Answer & Explanation Answer: B) 45000

Explanation:

Volume of the wall = (2400 x 800 x 60)  cu.cm  

 

Volume of bricks   = 90% of the volume of the wall 

= [(90/100) x 2400 x 800 x 60] cu.cm  

 

Volume of 1 brick = (24 x 12 x 8)  cu.cm 

 

Number of bricks = [(90/100) x (2400 x 800 x 60) ]/ (24 x 12 x 8) = 45000

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18 21592