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CLAT Quants Questions

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Quiz Begins Here

Q #1
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Quants Question

Directions: Read the following information to answer the question.

If the length , breadth & height of a Cuboid are increased by 10%,30% and 20% ,find the percentage increase in the total surface area of the Cuboid.
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We will be able to calculate the percentage change in LB , BH & LH but we cant add 2 percentage of different bases.

Q #2
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Quants Question

Directions: Read the following information to answer the question.

If a merchant offers a discount of 30% on the list price, then she makes a loss of 16%. What % profit or % loss will she make if she sells at a discount of 10% of the list price?
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Let the cost price of the article be Rs.100.

Let the List price of the article by "x".

Then, when the merchant offers a discount of 30%, the merchant will sell the article at x - 30% of x = 70% of x = 0.7x. .......(1)

Note: Discount is measured as a percentage of list price.

The loss made by the merchant when she offers a discount of 30% is 16%. 

Therefore, the merchant would have got 100 - 16% of 100 = Rs.84 when she offered a discount of 30%. .......(2)

Note: Loss is always measured as a percentage of cost price.

Therefore, equating equations (1) and (2), we get

0.7x = 84

or x = 120.

If the list price is Rs.120 (our assumption of cost price is Rs.100), then when the merchant offers a discount of 10%, she will sell the article at 

120 - 10%o of 120 = Rs.108.

As the cost price of the article was Rs.100 and the merchant gets Rs.108 while offering a discount of 10%, she will make a profit of 8%.


Q #3
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Quants Question

Directions: Read the following information to answer the question.

Vijay invested Rs.50,000 partly at 10% and partly at 15%. His total income after a year was Rs.7000. How much did he invest at the rate of 10%?
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The best way to solve this problem is by using the concept in Mixtures and Alligation. 

Vijay earned a total income of Rs.7000 for his investment of 50,000.

Therefore, his average rate of return = 7000/50000 * 100 

By rule of alligation, if the value of one of the products is 10 (cheaper) and the other is 15 (dearer) and if the two are mixed such that the average value of the mixture is 14 (mean price), then the two products have been mixed in the following ratio.

The ratio of

Cheaper product : Dearer product 

(Dearer product price - mean price) : (Mean price - cheaper product price)

In our example, the cheaper product is the investment at 10%, the dearer product is the investment at 15% and the mean price is the average return of 14%.

Therefore, the amount invested @10% interest = 1/5 * 50,000 = 10,000.


Q #4
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Quants Question

Directions: Read the following information to answer the question.

If the first three numbers of an arithmetic series are 3x, 2x + 8 and 6x – 4, then what is the sum of the first 10 numbers of that sequence?
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2x + 8 = 3x = 6x – 4 –2x – 8

    8-x = 4x – 12

    x = 4

    Sum of 10 terms = 10 (2*12+9*4)/2 = 300

 


Q #5
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Quants Question

Directions: Read the following information to answer the question.

A book having 700 pages . Its pages numbered from 1 to 700. If we count all the 3’s in the page numbers, how many 3’s will be there?
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Solution: From 1 to 100, we have number like 3, 13, 23, 33 etc. which are 10 in number. Then number 30 to 39 have one 3 extra each giving 10 threes. So, upto hundred, we have 10 + 10 = 20 threes. Since we have 700 pages we have number of 3’s as 7x20 = 140 Then all the 100 numbers from 300 to 399 have one 3 extra each giving a hundred 3’s So totally, 240 threes. Choice (1)