Quantitative Aptitude - Arithmetic Ability Questions

Q:

A boat sails 15 km of a river towards upstream in 5 hours. How long will it take to cover the same distance downstream, if the speed of current is one-fourth the speed of the boat in still water:

A) 1.8h B) 3h
C) 4h D) 5h
 
Answer & Explanation Answer: B) 3h

Explanation:

Upstream speed = B-S

Downstream speed = B+s

B-S = 15/5 = 3 km/h

Again          B= 4S

Therefore    B-S = 3= 3S

=>             S = 1 and B= 4 km/h

Therefore    B+S = 5km/h

Therefore, Time during downstream = 15/5 = 3h

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Filed Under: Boats and Streams

126 26726
Q:

A boy can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is ?

A) 1.8 kmph B) 2 kmph
C) 2.2 kmph D) 1.5 kmph
 
Answer & Explanation Answer: D) 1.5 kmph

Explanation:

Speed of Boy is B = 4.5 kmph

Let the speed of the stream is S = x kmph

Then speed in Down Stream = 4.5 + x

speed in Up Stream = 4.5 - x

As the distance is same,

=> 4.5 + x = (4.5 - x)2

=> 4.5 + x = 9 -2x

3x = 4.5

x = 1.5 kmph

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Filed Under: Boats and Streams
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47 26703
Q:

Select the letter which does NOT belong to the group.

 

 

A) 3 B) 1
C) 2 D) 4
 
Answer & Explanation Answer: B) 1

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

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Q:

The length of a diagonal in cm of a rectangle of length 9 cm and width 5 cm is

 

A) 106 B) ±106
C) 2√14 D) ±214
 
Answer & Explanation Answer: A) 106

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

1 26628
Q:

A room is half as long again as it is broad. The cost of carpeting the at Rs. 5 per sq.m is Rs. 270 and the cost of papering the four walls at Rs. 10 per sq.m is Rs. 1720. If a door and 2 windows occupy 8 sq. m, find the dimensions of the room.

A) b=6; l=18; H=6 B) b=5; l=6; H=18
C) l=6; b=18; H=15 D) l=5; b=18; H=18
 
Answer & Explanation Answer: A) b=6; l=18; H=6

Explanation:

Let breadth = x metres, length = 3x metres, height = H metres. 

Area of the floor=(Total cost of carpeting)/(Rate) = (270/5) sq.m = 54 sq.m 

x×3x2=54x2=54×2x=6  

So, breadth = 6 m and length =362 = 9 m.

Now, papered area = (1720/10) =  172 sq.m 

Area of 1 door and 2 windows = 8 sq.m 

Total area of 4 walls = (172 + 8) sq.m = 180 sq.m 

2×9+6H=180H=6

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Filed Under: Area
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33 26602
Q:

Select the figure which does NOT belong to the group.

 

 

A) A B) B
C) C D) D
 
Answer & Explanation Answer: C) C

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

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Q:

A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:

A) 0% B) 5%
C) 7.5% D) 10%
 
Answer & Explanation Answer: A) 0%

Explanation:

C.P = Rs.3000 

S.P =Rs. [3600 x 10] / [100+(10 x 2)] = Rs.3000 

Gain =0%

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Filed Under: True Discount

35 26574
Q:

Find the circumference (in cm) of a circle of radius 7 cm.

 

A) 56 B) 44
C) 16 D) 32
 
Answer & Explanation Answer: B) 44

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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