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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

A) 21/46 B) 1/5
C) 3/25 D) 1/50
 
Answer & Explanation Answer: A) 21/46

Explanation:

Let S be the sample space and E be the event of selecting 1 girl and 2 boys.

 

Then, n(S) = Number ways of selecting 3 students out of 25

 

                = 25C3  = 2300.

 

         n(E)= 10C1*15C2 = 1050. 

 

P(E) = n(E)/n(s) = 1050/2300 = 21/46

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Filed Under: Probability

1 4221
Q:

4 years ago, the ratio of 1/2 of Anita's age at that time and four times of Bablu's age at that time was 5 : 12. Eight years hence,1/2 of Anita's age at that time will be less than Bablu's age at that time by 2 years. What is Bablu's present age?

A) 10 years B) 24 years
C) 9 years D) 15 years
 
Answer & Explanation Answer: A) 10 years

Explanation:
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Filed Under: Problems on Ages

14 4212
Q:

In an election between two candidates, the winning candidate got 70% of the valid votes and won by a majority of 9000 votes. If out of total votes polled 90% votes are valid, then what is the total number of votes polled?

 

A) 30000 B)  25000
C) 22500 D) 27000
 
Answer & Explanation Answer: B)  25000

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

30 4200
Q:

A loan of $15 000 is taken out. If the interest rate on the loan is 7%, how much interest is due and what is the amount repaid if the loan is due in seven months

A) 15612.50 B) 14612.50
C) 13612.50 D) 17612.50
 
Answer & Explanation Answer: A) 15612.50

Explanation:

We have P = 15 000, r = 0.07 and since the actual date the loan was taken out
is not given, we use t =7/12

I = Prt=$15 000* 0.07* 7/12 = $612.50

Amount repaid = Future or accumulated value,

S = P + I = $15 000 + $612.50 = $15 612.50

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Filed Under: Simple Interest
Exam Prep: Bank Exams
Job Role: Bank PO

2 4198
Q:

A town having teenagers(boys & girls) of 5000 requires 150 litre of water per head. It has a tank measuring 20 m × 15 m × 5 m. The water of this tank will sufficient for ____ days.

A) 8 B) 6
C) 4 D) 2
 
Answer & Explanation Answer: D) 2

Explanation:

Total Water reqduired = 5000 × 150 lit = 750,000 litres = 750 cu.m.

 

Volume of tank = 20 × 15 × 5 = 1500 Cu.m.

 

Number of days required =1500/750 = 2 days.

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Filed Under: Time and Work
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

6 4198
Q:

A and B invest in a business in the ratio 4 : 5. After 10 months B leaves the business after withdrawing his investment. In the first year the business made a profit of Rs 49,000. What is B's share (in Rs) of this profit?

A) 25000 B) 20000
C) 18000 D) 22000
 
Answer & Explanation Answer: A) 25000

Explanation:
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Filed Under: Partnership
Exam Prep: Bank Exams

3 4197
Q:

A decision committee of 5 members is to be formed out of 4 Actors, 3 Directors and 2 Producers. In how many ways a committee of 2 Actors, 2 Directors and 1 Producer can be formed ?

A) 18 B) 24
C) 36 D) 32
 
Answer & Explanation Answer: C) 36

Explanation:

Required Number of ways = 4C2 × 3C2 × 2C1 = 36 = 36

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

17 4193
Q:

The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 9000, brokerage being 1/4%, is:

A) 108.25 B) 112.20
C) 124.75 D) 125.25
 
Answer & Explanation Answer: C) 124.75

Explanation:

For an income of Rs. 756, investment = Rs. 9000. 

 

For an income of Rs.212,  investment =Rs.9000756×212 = Rs. 125.

 

For a Rs. 100 stock, investment = Rs. 125.

 

Market value of Rs. 100 stock = Rs.125-14= Rs. 124.75

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Filed Under: Stocks and Shares

3 4187