Quantitative Aptitude - Arithmetic Ability Questions

Q:

The area of an equilateral triangle is 49√3 cm2. Find its side (in cm).

 

A) 7 B) 14
C) 28 D) 42
 
Answer & Explanation Answer: B) 14

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 21657
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 21606
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 21574
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 21570
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 21569
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 21541
Q:

Find the odd statement : Two lines are perpendicular to each other if they are,

 

A) Adjacent sides of a rectangle B) Diagonals of a rhombus
C) Hypotenuse and one side of a right-angle triangle D) Adjacent sides of a square
 
Answer & Explanation Answer: C) Hypotenuse and one side of a right-angle triangle

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 21498
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 21481