Quantitative Aptitude - Arithmetic Ability Questions

Q:

An owner of a Dry fruits shop sold small packets of mixed nuts for Rs. 150 each and large packets for Rs. 250 each. One day he sold 5000 packets, for a total of Rs. 10.50 lakh. How many small packets were sold ?

A) 2000 B) 3000
C) 2500 D) 3500
 
Answer & Explanation Answer: A) 2000

Explanation:

Let 's' be the number of small packets and 'b' the number of large packets sold on that day.

 

Therefore, s + b = 5000 ... eqn (1)

 

Each small packet was sold for Rs.150.
Therefore, 's' small packets would have fetched Rs.150s.

 

Each large packets was sold for Rs.250.
Therefore, 'b' large packets would have fetched Rs.250b.

 

Total value of sale = 150s + 250b = Rs. 10.5 Lakhs (Given)

 

Or 150s + 250b = 10,50,000 ... eqn (2)

 

Multiplying equation (1) by 150, we get 150s + 150b = 7,50,000 ... eqn (3)

 

Subtracting eqn (3) from eqn (2), we get 100b = 3,00,000
Or b = 3000

 

We know that s + b = 5000
So, s = 5000 - b = 5000 - 3000 = 2000.

 

2000 small packets were sold.

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Filed Under: Simplification
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Q:

What is the probability that a couple with four children have atleast one girl?

A) 0.0625 B) 0.9375
C) 0.5 D) 0.0257
 
Answer & Explanation Answer: B) 0.9375

Explanation:

Here,n = 4(children)

P(girl)= 0.5

P(of atleast one girl)= 1 - P(no girls)

                             = 1 - 0.0625 = 0.9375

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Filed Under: Probability

3 4194
Q:

A man wills 25% of his wealth to charity and rest to his family. What percent of the wealth willed to charity does the family get?

A) 200 B) 33.3
C) 300 D) 25
 
Answer & Explanation Answer: C) 300

Explanation:
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Filed Under: Percentage
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3 4192
Q:

12% of 70,000 is

A) 8400 B) 7200
C) 6000 D) 5600
 
Answer & Explanation Answer: A) 8400

Explanation:

12% of 70,000

=> 12 x 70,000/100

=> 8400

 

Hence, 12% of 70,000 = 8,400

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Q:

Maheshwari wants to buy 7 floors in an 68 storied building whose numbering stars from 1 upto 68. But she has to follow certain rules which are as follows :

1) None of the floor should be a prime number

2) None of the digit of the floor should be a prime number

3) Maheshwari cannot buy the 1st floor as it is being assigned to the architect.

So how many options are left with Maheshwari to buy the floors ?

A) 11 B) 17
C) 13 D) 19
 
Answer & Explanation Answer: B) 17

Explanation:

Since floor starts form the 1 therefore 2 will be the 1st floor.
Form 1 to 10 only 4,6,8,9,10 are not prime.
Form 11 to 20 only 14 ,16,18 are not prime also non of their digits are prime.
From 21 to 30 each number has a prime number so it must no be consider.
In between 40 to 49 we have to consider only 40,44,46,48,49.
50 to 59 follow either of the condition so we have too neglect it.
In between 60 to 68 60,64,66,68.
total option = 17.

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4 4188
Q:

Two items A and B have equal cost price. Item A is sold at 40% profit and item B is sold at an amount 20% less than the selling price of item A. If the total profit is 156 Rs then find the cost price of A.

A) Rs. 300 B) Rs. 350
C) Rs. 400 D) Rs. 450
 
Answer & Explanation Answer: A) Rs. 300

Explanation:

Let the cost price of A as well as B is 100 Rs.
Then, ATQ:
Selling Price of A = 100+40 = 140
And Selling Price of B = 140 - (140*0.2) = 140 - 28 = 112
Total selling price = 140+112 = 252 Rs.
Total Cost price = Rs. 200
So by taking cost price = 100 Rs.
Total profit = 52 Rs.
Total profit will be Rs. 156 when cost price = (100/52)*156 = Rs. 300.

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Filed Under: Profit and Loss
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Q:

Find the odd letter/word from the given alternatives.

A) Horse B) Ewe
C) Hind D) Bitch
 
Answer & Explanation Answer: A) Horse

Explanation:

Except Horse, remaining all belong to female category.

Hind - Female Deer

Ewe - Female Sheep

Bitch - Female Dog. 

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Filed Under: Odd Man Out
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9 4181
Q:

125% as a Fraction?

A) 1/4 B) 3/4
C) 5/4 D) 7/4
 
Answer & Explanation Answer: C) 5/4

Explanation:

Literally any percentage means divide by 100.

So 125% = 125100. That can be reduced to 5/4.

To convert to a decimal, you can do long division, dividing 5 into 4.

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Filed Under: Percentage
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