Before taking the test, please read the following instructions carefully..!

• This paper contains 25 Multiple Choice Questions.
• There is only one correct answer to each question.
Q1. In an office, 30% of the employees are men and the remaining are women. 60% of the men are married and 66% of the employees are married. What percentage of women are not married?

Q2 . A student gets 60% of the maximum marks. If he gets 50% more than the pass mark, then the pass mark is what percentage of the maximum marks?

Q3. In a library, 40% of the books are in English. 30% of the remaining books are in Hindi. One-fifth of the remaining books are in Sanskrit and the remaining 1680 books are in other Indian languages. How many books are there in the library?___


Q4 . A village has 10000 people, 68% of the people are males. The total literate population of the village is 6000. There are 1200 more male illiterates than female illiterates. What percent of the female population are illiterates? ___


Q5. In manufacturing a certain item, 40% of the expenditure is on raw materials, 20% on labour charges, 20% on fixed charges and the rest on miscellaneous. The item is sold at a profit of 25%. The price of the raw materials went up by 15%, the labour charges went up by 20% and the cost of the miscellaneous heads went up by 50% while the fixed costs remained unchanged. If the selling price remained unchanged, then what is the profit percentage?

Q6. A shopkeeper sold three articles A, B, and C at 30%, 40%, and 60% profit respectively. The overall profit percentage made on selling B and C is 48% and that on A and C is 40%. Find the overall profit percentage made on selling all three articles. _____


Q7. The savings of Achyut are 30% of his earnings while the savings of Ranjit are 150% of the savings of Achyut. The combined earnings of Achyut and Ranjit as a percentage of Achyut’s earnings cannot be ?

Q8. A shopkeeper sells 120 articles each at a price of Rs.250. To the persons who do not bargain, he does not give any discount and makes 50% profit on each article. To those who bargain, he gives a discount of 20%. If one in four customers does not bargain, find his profit percentage on selling all the 120 articles.

Q9. Fifty successive percentage discounts are given in a series of 2%, 4%, 6%, 8%…and so on. What is the net discount?

Q10. An index of 12 shares contains, among others, the shares of Reliance, HLL, and Infosys with weightage of 7%, 13%, and 15%, respectively. What is the increase in the prices of other shares, if these three rise by 9%, 10%, and 4%, respectively, while the index rises by 6%?

Q11. In Ranchi, only two newspapers Dainik Jagran and Prabhat Khabar are published. It is known that 25% of the city population reads Dainik Jagran and 20% reads Prabhat Khabar, whereas 8% reads both Dainik Jagran and Prabhat Khabar. It is also known that 30% of those who read Dainik Jagran but not Prabhat Khabar look into advertisements and 40% of those who read Prabhat Khabar but not Dainik Jagran look into advertisements, whereas 50% of those who read both Dainik Jagran and Prabhat Khabar look into advertisements. What is the percentage of the population who read an advertisement?

Q12. The value of the USD is expected to rise by 10% against Rupee next year, whereas the value of the Rupee is expected to decline by 10% against the Canadian Dollar next year. How many USD can be purchased for 5 Canadian Dollars?

Q13. The cost of manufacturing an article is made up of components A, B, C and D, which have a ratio of 3 : 4 : 5 : 6, respectively. If there are respective changes in the costs of these four components as +10%, -20%, -30% and +40%, then what would be the percentage change in the cost of the article?

Q14. In an exhibition, 60% of the collection is from the sales of cold drinks and rest is from the sales of water bottles. Had 30 more cold drinks been sold, their contribution would have been 80%. If the number of water bottles sold is 1/3rd of the number of cold drinks sold, find the total number of cold drinks sold.

Q15. Padma purchased a box of chocolates. She ate 20% of them and gave 25% of the remaining chocolates to her friends. Again, she ate 20% of it and gave 25% of the remaining chocolates to her friends. Then, she gave 8 chocolates to a guest. Finally, she is left with 35% of the chocolates that she initially had. How many chocolates did Padma eat?

Q16. Gaurav spends 30% of his income on clothing, 20% of the remaining on entertainment and the remaining on food. He saves 1/3 of the amount he spends. Find the percentage spending on food as a percentage of savings.

Q17. The raw material and manufacturing cost formed individually 70% and 30% of the total cost and the profit percentage is 14.28% of the raw material. If the cost of raw material increase by 20% and the cost of manufacturing is increase by 40% and the selling price is increased by 80%, then the new profit percentage is:

Q18. A shepherd has n goats in the year 2000. In 2001 the no. of goats increased by 40%. In 2002 the No. of goats declined to 70%. In 2003 the no. of goats grew by 30%. In 2004, he sold 10% goats, then he had only 34,398 goats. The percentage increase of the no. of goats in this duration was:

Q19. The prepaid card of Reliance Infocom gives 19% less talk time than the prepaid card of Tata Indicom, having the same price. Again the post-paid card having the same price as Tata Indicom gives 10% less talk time than its prepaid card. Similarly, the postpaid card of the same price as Reliance gives 11.11% less talk time than its prepaid card. How much percent less talk time do we get from the Reliance postpaid card than the postpaid card of Tata Indicom?

Q20. In the half yearly, exam only 70% of the students passed. Out of these (passed in half yearly), only 60% students passed in annual exam. Out of those who did not pass the half yearly exam, 80% passed in the annual exam. What percent of the students passed the annual exam?

Q21. A student appeared in the Mock CAT. The test paper contained 3 sections namely QA, DI and VA. The percentage marks in all the 3 sections. Coincidentally, if we reverse the digits of the percentage marks of QA we get the percentage marks of DI. The percentage marks in VA scored by the Student could be:

Q22. The amount of work in a leather factory is increased by 50%. By what percent is it necessary to increase the number of workers to complete the new amount of work in previously planned time, if the productivity of the new labour is 25% more?

Q23. A man saved 30%, 50% and _____% of his income in three years respectively. If he received an increment of 20% and 50% in his income in the second and the third years respectively, overall he saved ____% of his income in three years. Which of the following options satisfies the two blanks in the question?

Q24. The number of green pins is 30 10/13% more than the number of White pins and the number of blue pins is 1100/17% of the number of Green pins. The total number of green and blue pins is 1400. The number of white pins is _____ and the number of green pins is ______ percent of the total number of all three pins. Which of the following options satisfies the two blanks in the questions?

Q25. The total number of girls in school Q is 24% of the total number of students in Q. The total number of girls in school P is 56% of the total number of students in P. The number of boys in P is equal to the number of girls in Q. The total number of boys in the two schools combined is 1100. Find the total number of girls in the two schools.

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