Quantitative Aptitude - Arithmetic Ability Questions

Q:

The present worth of a sum due sometime hence is Rs. 576 and the banker's gain is Rs.

16. The true discount is:

A) 78 B) 96
C) 105 D) 85
 
Answer & Explanation Answer: B) 96

Explanation:

T.D. = P.W. x B.G. = 576 x 16 = 96.

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Filed Under: Banker's Discount

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Q:

The sum of first 45 natural numbers is:

Answer

The sum of n natural numbers 

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Subject: Numbers

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Q:

A Committee of 5 persons is to be formed from a group of 6 gentlemen and 4 ladies. In how many ways can this be done if the committee is to be included atleast one lady?

A) 123 B) 113
C) 246 D) 945
 
Answer & Explanation Answer: C) 246

Explanation:

A Committee of 5 persons is to be formed from 6 gentlemen and 4 ladies by taking. 

 

(i) 1 lady out of 4 and 4 gentlemen out of 6 

(ii) 2 ladies out of 4 and 3 gentlemen out of 6 

(iii) 3 ladies out of 4 and 2 gentlemen out of 6 

(iv) 4 ladies out of 4 and 1 gentlemen out of 6 

 

In case I the number of ways = C14×C46 = 4 x 15 = 60 

In case II the number of ways = C24×C36 = 6 x 20 = 120 

In case III the number of ways = C34×C26 = 4 x 15 = 60

In case IV the number of ways = C44×C16 = 1 x 6 = 6 

 

Hence, the required number of ways = 60 + 120 + 60 + 6 = 246

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

10 12287
Q:

The area of a field in the shape of a trapezium measures 1440sq m. The perpendicular distance between its parallel sides is 24cm. If the ratio of the sides is 5:3, the length of the longer parallel side is:

A) 75 B) 85
C) 95 D) 105
 
Answer & Explanation Answer: A) 75

Explanation:

Area of field = 12*5x+3x*24 = 96x sq.m  

96x = 1440       => x =144096 = 15  

Hence, the length of longer parallel side = 5x = 75m

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

7 12286
Q:

The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference  in the expenditure on that product?

A) 10% more B) 5% more
C) 12.5% more D) 17.5% more
 
Answer & Explanation Answer: C) 12.5% more

Explanation:

    Quantity  X  Rate =  Price

 

         1  x  1  =  1

 

       0.7 x 1.25 = 0.875

 

      Decrease in price = (1-0.875) x 100 = 12.5%

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Filed Under: Percentage

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Q:

How many seconds in 10 years?

A) 31523500 sec B) 315360000 sec
C) 315423000 sec D) 315354000 sec
 
Answer & Explanation Answer: B) 315360000 sec

Explanation:

We know that,

1 year = 365 days

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds.

 

Then, 1 year = 365 x 24 x 60 x 60 seconds.

= 8760 x 3600

1 year = 31536000 seconds.

 

Hence, 10 years = 31536000 x 10 = 315360000 seconds.

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Filed Under: Calendar
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , IT Trainer

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Q:

How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?

A) 3.5 years B) 4 years
C) 4.5 years D) 5 years
 
Answer & Explanation Answer: B) 4 years

Explanation:

Time = (100 x 81)/(450 x 4.5) years

= 4 years.

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Filed Under: Simple Interest
Exam Prep: GRE

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Q:

A women goes to market with Rs.500 to buy oranges.the prices of the oranges have decreased by 10% so he could buy 2kg more with the amount she had.What was the original price of the oranges ?

A) 22.77 B) 25.77
C) 27.77 D) 29.77
 
Answer & Explanation Answer: C) 27.77

Explanation:

If the price of the oranges decreases by 10%, the woman would save 10% of the money that is Rs.50 to buy the same amount as before.Now in Rs. 50 she can buy 2 kg more, therefore the current price of 1 kg of oranges is Rs25.Now, this current price is after 10% reduction.

 

 

 

Therefore, the original price =  25/0.9  = Rs. 27.77

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Filed Under: Profit and Loss
Exam Prep: CAT , Bank Exams
Job Role: Bank Clerk

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