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

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Q:

A bank offers 10% compound interest per half year. A customer deposits Rs. 5200 each on 1st January and 1st July of a year. At the end of the year, the amount he would have profit by way of interest is:

A) Rs 3224 B) Rs 1612
C) Rs 806 D) Rs 403
 
Answer & Explanation Answer: B) Rs 1612

Explanation:
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Filed Under: Compound Interest
Exam Prep: Bank Exams

1 3042
Q:

[15% of 300% of 560] × 2 ÷ 5 =

A) 100 B) 90
C) 85 D) 105
 
Answer & Explanation Answer: A) 100

Explanation:

[15% of 300% of 560] × 2 ÷ 5

= (15 x 300 x 560 x 2)/100 x 100 x 5

~= 100 

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

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Q:

A slice from a circular pizza of diameter 14 inches is cut in asuch a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?

A) 16.25 B) 19.25
C) 18.25 D) 17.25
 
Answer & Explanation Answer: B) 19.25

Explanation:

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Filed Under: Area

2 3037
Q:

A woman invests Rs. 2000 at the start of each year at 5% C.I. per annum. How much will her investments be at the end of the 2nd year?

A) Rs. 4305 B) Rs. 430
C) Rs. 4355 D) Rs. 4350
 
Answer & Explanation Answer: A) Rs. 4305

Explanation:
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Filed Under: Compound Interest
Exam Prep: Bank Exams

14 3036
Q:

In an army selection process, the ratio of selected to unselected candidates was 6:1. If 30 less had applied and 10 less selected, the ratio of selected to unselected would have been 7:1. How many candidates had applied for the process?

A) 910 B) 1820
C) 455 D) 2730
 
Answer & Explanation Answer: A) 910

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT

6 3033
Q:

A can do 50% of the job in 16 days, B can do 1/4th of the job in 24 days. In how many days can they do 3/4th of the job working together?

A) 24 B) 9
C) 21 D) 18
 
Answer & Explanation Answer: D) 18

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

If a/(a+b) = 15/21, what is (a+b)/(a-b) is equal to?

A) 13/9 B) 23/11
C) 14/5 D) 21/9
 
Answer & Explanation Answer: D) 21/9

Explanation:

a/(a + b) = 15/21 → a = 15, a + b = 21

→ b = 21– 15 = 6
⇒ a – b =15 – 6 = 9
⇒ (a + b)/(a – b) = 21/9

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Filed Under: Simplification
Exam Prep: Bank Exams

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