Quantitative Aptitude - Arithmetic Ability Questions

Q:

If  x = 1 - q and y = 2q + 1, then for what value of q, x is equal to y ?

A) 0 B) 1
C) -1 D) -2
 
Answer & Explanation Answer: A) 0

Explanation:

x = y  <=> 1 - q =  2q  + 1  <=> 3q  = 0 <=> q = 0.

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Filed Under: Simplification

8 8864
Q:

A man is riding a bike with front and back wheel circumference of 40 inches and 70 inches respectively. If the man rides the bike on a straight road without slippage, how many inches will the man have travelled when the front wheel has made 15 revolutions more than the back wheel?

A) 1100 B) 1300
C) 1400 D) 1200
 
Answer & Explanation Answer: C) 1400

Explanation:

Given the ratio of the circumference of front wheel  is 40 inches and back wheel is 70 inches. 

 

Distance covered = Circumference of the wheel × No. of Revolutions made by the wheel

 

If n is the number of revolutions made by back wheel, the number of revolutions made by front wheel is n+15

 

Distance covered by both the wheels is the same

 

i.e, 40*(n+15)=70n

 

 n=20 

 

 

 

                Front wheel      :      Back Wheel 

 

 Circumference       40      :      70 

 

 Revolutions           35      :      20

 

 

 

Distance covered  :  40×35 = 70×20 = 1400 inches.

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Filed Under: Time and Distance
Exam Prep: CAT
Job Role: Bank PO

17 8859
Q:

3131×31-27 =?

A) 961 x 861 B) 961 x 961
C) 961 x 2 D) 29791
 
Answer & Explanation Answer: B) 961 x 961

Explanation:

We know that am×an=am+n 

3131-27 = 314 = 961 x 961.

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank PO

11 8847
Q:

A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1cm when a man gets on it. The mass of the man is:

A) 12 kg B) 60 kg
C) 72 kg D) 96 kg
 
Answer & Explanation Answer: B) 60 kg

Explanation:

ke

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11 8831
Q:

Water boils at 212°F or 100°C and melts at 32°F or 0°C .  If the temparature of the particular day  is 35°C , it is equal  to :

A) 85°F B) 95°F
C) 96°F D) 97°F
 
Answer & Explanation Answer: B) 95°F

Explanation:

Let F and C denotes the temparature in Fahrenheit anid Celcsius respectively.

Then, (F - 32) /(212 - 32) = (C - 0)/(100 - 0),  if c = 35, then F = 95.

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Filed Under: Simplification

6 8828
Q:

The perimeter of a rectangle is 160 cm. The rectangle is 4 times longer than wide. What are the length and width of this rectangle?

A) l=65;b=16 B) l=16;b=64
C) l=64;b=16 D) l=16;b=48
 
Answer & Explanation Answer: C) l=64;b=16

Explanation:

P=2(l+b)

l=4b

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

9 8810
Q:

Which century year is a leap year?

A) 1900 B) 1700
C) 1600 D) 1100
 
Answer & Explanation Answer: C) 1600

Explanation:

NOTE: For an century year,it is divided by 400,when leaves a remainder 0 then it is a leap year.

So, 1600

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Filed Under: Calendar

12 8802
Q:

A invested some money in 10% stock at 96. If B wants to invest in an equally good 12% stock, he must purchase a stock worth of :

A) Rs.80 B) Rs.115.20
C) Rs.120 D) Rs.125.40
 
Answer & Explanation Answer: B) Rs.115.20

Explanation:

For an income of Rs. 10, investment = Rs. 96. 

For an income of Rs. 12, investment = Rs. (96/10)*12 = Rs. 115.20.

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Filed Under: Stocks and Shares

3 8797