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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The diagonals of two squares are in the ratio of 2 : 5. Find the ratio of their areas.

A) 4:25 B) 3:25
C) 3:15 D) 5:25
 
Answer & Explanation Answer: A) 4:25

Explanation:

Let the diagonals of the squares be 2x and 5x respectively.
Ratio of their areas =  12*2x2:12*5x2=4:25

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Filed Under: Area
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14 16509
Q:

If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area ?

A) 108 sq.cm B) 112 sq.cm
C) 116 sq.cm D) 120 sq.cm
 
Answer & Explanation Answer: D) 120 sq.cm

Explanation:

The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.

Area of the triangle =1/2 x base x height => 1/2 x 24 x 10 = 120 sq.cm

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Filed Under: Area
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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19 16509
Q:

A semicircular shaped window has diameter of 63cm. Its perimeter equals

A) 162 B) 132
C) 142 D) 172
 
Answer & Explanation Answer: A) 162

Explanation:

perimeter of window = πr+2r 

= [(22/7) x (63/2) + 63] = 99+63 = 162 cm

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16 16506
Q:

A thief goes away with a MARUTHI car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start ?

A) 2 hrs 10 min B) 2 hrs
C) 2 hrs 5 min D) 2 hrs 30 min
 
Answer & Explanation Answer: B) 2 hrs

Explanation:

|-----------20--------------------|
50                           40

Difference = 20kms

Relative Speed = 50 – 40 = 10 kmph

Time = 20/10 = 2 hours.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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10 16501
Q:

Find the remainder, when (37+57+78+75+179) is divided by 17.

 

A) 1 B) 2
C) 5 D) 7
 
Answer & Explanation Answer: A) 1

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

0 16480
Q:

A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?

A) 4 B) 6
C) 8 D) None of the above
 
Answer & Explanation Answer: B) 6

Explanation:

The measure of the third side of a triangle must lie between the sum and the difference of the other two sides. Using this fact along with the answer choices, we can eliminate the wrong answers. 

 

    • Option A  cannot be correct because 4 would not be the longest side.(sides 4, 5, and 4)   

 

    • Option B could be correct because the other two sides would be 3 and 4.  

 

    • Option C cannot be correct because this third side would be greater than the sum of the other two sides.

 

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Filed Under: Area
Exam Prep: GRE

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Q:

Select the related word/letters/numbers from the given alternatives:

5 : 100 :: 7 : ?

A) 49 B) 196
C) 91 D) 135
 
Answer & Explanation Answer: B) 196

Explanation:
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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

A 12% stock yielding 10% is quoted at:

A) 67 B) 110
C) 112 D) 120
 
Answer & Explanation Answer: D) 120

Explanation:

To earn Rs. 10, money invested = Rs. 100.

 

To earn Rs. 12, money invested =Rs.10010*12 = Rs. 120.

 

Market value of Rs. 100 stock = Rs. 120.

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Filed Under: Stocks and Shares

8 16446