Quantitative Aptitude - Arithmetic Ability Questions

Q:

A coin is tossed 5 times. What is the probability that head appears an odd number of times?

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

Explanation:

The possible outcomes are as follows :

5H, 5T, (H, 4T), (T, 4H), (2H, 3T) (3H, 2T), i.e. 6 outcomes in all.

Therefore the probability that head appears an odd number of times = 3/6 =1/2 (In only three outcomes out of the six outcomes, head appears an odd number of times).

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Filed Under: Probability

27 16586
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
Job Role: Bank Clerk , Bank PO

10 16574
Q:

1. The simple interest on a sum of money is Rs. 50. What is the sum?
I. The interest rate is 10% p.a.
II. The sum earned simple interest in 10 years

A) I alone sufficient while II alone not sufficient to answer B) II alone sufficient while I alone not sufficient to answer
C) Either I or II alone sufficient to answer D) Both I and II are necessary to answer
 
Answer & Explanation Answer: D) Both I and II are necessary to answer

Explanation:

Given : S.I. = Rs. 50.

I  gives,  R = 10% p.a.

II gives,  T = 10 years.

Sum = (100 x S.I)/(t x r ) =  Rs.(100 x 50)/(10 x 10) = Rs.50

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Filed Under: Simple Interest
Exam Prep: GRE

4 16553
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 16550
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
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19 16541
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

6 16539
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
Exam Prep: Bank Exams
Job Role: Bank PO

14 16527
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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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

16 16523