Quantitative Aptitude - Arithmetic Ability Questions

Q:

Find the probability that one ball is white when two balls are drawn at random from a basket that contains 9 red, 7 white and 4 black balls.

A) 18/95 B) 18/190
C) 1/2 D) 91/190
 
Answer & Explanation Answer: D) 91/190

Explanation:

Total number of elementary events = 20C2 ways =190

 

There are 7 white balls out of which one white can be drawn in 7C1 ways and one ball from remaining 13 balls can be drawn in 13C1 ways.

 

So,favourable events = 7C1*13C1

 

Therfore,required probability = (7C1*13C1)/20C2=91/90

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Filed Under: Probability

2 2901
Q:

What is the discount percentage offered on a book having marked price Rs 2150 being sold at Rs 1892?

A) 12 B) 13
C) 14 D) 15
 
Answer & Explanation Answer: A) 12

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

8 2897
Q:

In an election between two candidates, the winning candidate has got 70% of the votes polled and has won by 15400 votes. What is the number of votes polled for loosing candidate?

A) 38500 B) 11550
C) 26950 D) 13550
 
Answer & Explanation Answer: B) 11550

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

5 2895
Q:

A man lent a sum of money at the rate of simple interest of 4%. If the interest for 8 years is Rs 340 less than the principal, the principal is

A) Rs 500 B) Rs 520
C) Rs 540 D) Rs 560
 
Answer & Explanation Answer: A) Rs 500

Explanation:

Rate = 4%

Time = 8 years

Simple Interest = PTR/100

= 32P/100

Given, P –32P/100 = 34068

P = 34000

P = 500

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Filed Under: Simple Interest

4 2894
Q:

Solve the triangle b=36 a=38 c=18 for perimeter of the triangle?

A) 74 units B) 92 units
C) 56 units D) 54 units
 
Answer & Explanation Answer: B) 92 units

Explanation:

We know, the perimeter of a triangle = sum of all the sides of a triangle = a + b + c

 

Here given that sides a = 38, b= 36 and c = 18

solve_the_triangle_b36_a38_c181537423406.jpg image

 

Now, perimeter of the triangle = a + b + c = 38 + 36 + 18 = 92 units.

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Filed Under: Volume and Surface Area
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5 2891
Q:

In how many ways the letters of the word 'CIRCUMSTANCES' can be arranged such that all vowels came at odd places and N always comes at end?

A) 1,51,200 ways. B) 5,04,020 ways
C) 72,000 ways D) None of the above
 
Answer & Explanation Answer: A) 1,51,200 ways.

Explanation:

In circumcstances word there are 3C's, 2S's, I, U,R, T, A, N, E

Total = 13 letters

But last letter must be N

Hence, available places = 12

In that odd places = 1, 3, 5, 7, 9, 11

Owvels = 4

This can be done in 6P4 ways 

Remaining 7 letters can be arranged in 7!/3! x 2! ways

 

Hence, total number of ways = 6P4 x 7!/3! x 2! = 360 x 5040/12 = 1,51,200 ways.

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Filed Under: Permutations and Combinations
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3 2888
Q:

The average weight of 50 boys in a class is 45 Kg. When one boy leaves the class, the average reduces by 100g. Find the weight of the boy who left the class.

A) 50 Kg B) 50.8 Kg
C) 49 Kg D) 49.9 Kg
 
Answer & Explanation Answer: D) 49.9 Kg

Explanation:

Total weight of 50 boys = 45 X 50 = 2250

Average weight of 49 boys = 44.9

Total weight of 49 boys = 44.9 X 49 = 2200.1

Weight of boy who left the class=2250–2200.1=49.9

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Filed Under: Average

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Q:

Sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers?

A) 11 and 4 B) 3 and 11
C) 11 and 33 D) 40 and 4
 
Answer & Explanation Answer: C) 11 and 33

Explanation:

Let the smaller number be 'm'

Then, from the given data, the larger number is '3m'

Given that m + 3m = 44

=> 4m = 44

m = 44/4 = 11

=> m = 11

=> 3m = 3 x 11 = 33

 

Hence, the two numbers are 11 and 33.

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Filed Under: Problems on Numbers
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