In an election, where three candidates Abhishek, Dishant and Prashant are contesting, 20% of the votes did not vote. 10% of the votes poles were invalid. If Dishant got 36,000 votes which were 20% of the valid votes which in turn is equal to two-third of Abhishek's votes, Find the winner and his margin over his nearest rival.

Answer: C Dishant got 36000 valid votes . This is 20% of the total valid votes. Total valid votes = 1,80,000 Abhsishek got 54,000 votes. Prashant got = 1,80,000 - 54000 - 36000 = 90,000 votes. Thus the margin is 36,000.

Q. No. 2:

Ajay buys a refrigerator at 20% discount on the list price and sells it at 5% profit. At what percent below the list price did she sell the refrigerator?

Answer: D Let 100 be the list price Cost to Ajay (20% discount) = 80. Profit = 5% = 5/100 * 80 = 4 Therefore selling price = 84. This is 100-84 =16 less than 100 i.e 16% less than list price. Hence, he sold it at 16% below the list price.

Q. No. 3:

A juice maker mixes water with juice in the ratio 1:4. He then, measures 800 ml instead of a litre and sells the juice at a nominal profit of 20% over the cost price. What is his actual profit percentage?

Answer: A In 1 L of the mixture, there is 800ml of juice and 200 ml of water. But the juice maker measures only 800 ml instead of a litre. Therefore, there is only 0.8*800 = 640ml of juice in 1 L that he sells. His actual cost price is 0.64*10 = Rs 6.40 Selling price = 1.2*10 = Rs 12 Profit % = (12-6.4)/6.4 *100 = 87.5%

Q. No. 4:

There are 500 pages in a book. In other words there are 250 sheets in the book. One sheet constitute 2 pages. Few pages were found to be missing from the book. Which of the following cannot be the number of the pages that were missing from the book as the percentage of the total number of pages in the book?

Answer: B Only even number of pages can be missing. Since one paper is considered as two pages. Except option(B), all the percentages are of even number of pages.

Q. No. 5:

A colourless cube is painted blue and then cut parallel to sides to form two rectangles solids of equal volume. What percentage of surface area of each of new solids is not painted blue?

Answer: C Let the one of its sides be of x unit. Therefore, total surface area of the half cut cube will be 4x*x. And, area of non painted surface will be x*x Therefore, the required answer is 25%.

Q. No. 6:

If 13.975% of students giving an exam are from Agra, then what is the minimum possible number of students that are writing this particular exam?

Answer: C
If x is the minimum number of people writing the exam Then, (13975*x)/10^{5} must be an integer. The fraction should be in the simplest form and hence taking the common terms out from the numerator and denominator. we get, x= 10^{5}/25 = 4000 as answer