Here some of the important arithmetic questions are given from the Quantitative Aptitude section of the CAT exam.

### TEST- Basic & Commercial Arithmetic

**1) In a public school there is an increase in number of admissions every year.The number of students in the year 2000 was 780 and it increased to 3000 in the year 2005.Find the annual increase?**

a) 25 %

b) 31 %

c) 39 %

d) 20 %

**2) Ram and Shyam invest Rs.15,000 and Rs.25,000, respectively, in a business and at the end of the year , make a profit of Rs.10,000.They agree to re-invest 12% of profit. Out of the remaining profit, each of them takes Rs.1000 and rest is divided in the ratio of their original investment**.**Find Ram’s total share in the profit .**

a) Rs.4250

b) Rs.3000

c) Rs.2550

d) Rs.3550

**3) At the end of year 1998, Ramesh bought 108 shares. Henceforth, every year he added p% of the shares at the beginning of the year and sold q% of the shares at the end of the year where p > 0 and q > 0.If Ramesh had 108 shares at the end of year 2002, after making the sales for that year,which of the following is true?**

a) p = q

b) p < q

c) p > q

d) p = q/2

**4) A man purchased 40 kg of cotton at a rate of Rs 65 per kg. Then he extracted 20% waste (by weight) from it so that the quality of the cotton improved and he was able to sell it at Rs.80 per kg. Also the waste had 60% cottonseed by weight which he was able to sell Rs.20 per kg.What percentage profit did he make?**

a) 8.65%

b) 12.44%

c) 14.70%

d) 21.32%

**5) Bangalore’s Metro urban planners expect the city’s population to increase by 10% per year over the next two years.If that projection were to come true, the population two years from now would be exactly double the population one year ago.Which of the following is closest to the percent population increase in Bangalore over the last year?**

a) 20

b) 40

c) 50

d) 65

**6) 90 students represent x percent of the girls at Bangalore High School.If the girls at Bangalore High make up 40% of the total school population of x students, what is x?**

a) 125

b) 150

c) 225

d) 250

**7) A fruit seller bought a few kgs of apples. First day he sold them at 100% profit and at the end of the day, he was able to recover his cost price.**

**Next day he sold them at 50% profit and by the end of the day his net profit became 30%.**** On the third **day** he sold the remaining apples at 25% profit.**

**His net profit on the sale of the apples is-**

a)50%

b)57.5%

c)62.5%

d)67.5%

**8) A bought 2 apples and 3 oranges at Rs. X. He ate 1 orange and sold the remaining fruits to B at Rs. X.B ate one apple and sold the remaining fruits to C at Rs. X. If the profit % of A is 20%, then the profit % of B is**

a) 16.66%

b) 20%

c)24%

d)25%

**9) Let the rate of interest of money for the first year at CI be 10% which increases by 1% every successive year.Then the money will become double in**

a)third year

b)fourth year

c)fifth year

d)sixth year

**10) Arun buys oranges at Rs 16 for 9 and sells them at Rs 20 for 11.What is his gain or loss%?**

a) 4%

b)2.7%

c)4%

d) 3.5%

**11) It is given that an article is sold at 10% discount. The SP is Rs 81.What will be the SP when the discount is 20%?**

a) Rs. 80

b) Rs. 82

c) Rs. 72

d) Rs. 68

**12) A confused student multiplies a number x by 6, instead of dividing it by 6.What is the percentage change in the result due to his mistake?**

a) 350%

b) 35%

c) 2550%

d) none

**13) In an election, the losing candidate secured 20% of the votes. The winner got 128000 votes totally.Assuming that no vote was invalid, what is the total number of votes cast?**

a) 160000

b) 240000

c) 330000

d)124000

**14) A car which depreciates by Rs 230000 is worth Rs 392500 in the year 2000.By what percent has it depreciated?**

a) 37%

b) 42%

c) 39%

d) 45%

**15)If the price of coffee powder per kg is increased by 20%, then find by how much the consumption should be reduced so that the expenditure does not change?**

a) 25%

b) 16.67% c) 19% d) 20%

c) 19% d) 20%

d) 20%

**16) Namita took a test in Physics, Chemistry, Math and Biology (P,C,M,B) to gain entrance into MSc. Science course.Each paper is of maximum 100 marks.She can get an admission into MSc. Biological Science if she has a minimum 60% marks in both Biology and Chemistry and a minimum of 55% overall.She can get an admission into MSc. Physical Science if she has a minimum 60% marks in Physics and Chemistry and 55% overall.She is also eligible to get both admissions.Given that she gets an admission into only MSc Biological Science and that she has scores 66 in Biology and 68 in Chemistry, what is the minimum marks she could have scored in Maths?**

a) 0

b) 26

c) 37

d) 27

**17) From the data given below,find the Cost of Living Index for the year 2005, taking 2000 as the base year and base index as 100.****ITEM QUANTITY (kg) Price/kg 2000 Price/ kg 2005 Wheat 25 12 15 Rice 10 8 12 Coffee 5 14 16 Sugar 2 40 36 Salt 1.5 60 90**

a) 113.12

b) 156.24

c) 126.13

d) none of these

**18) At a new index of 12 shares, the shares of HBL, Niposys and Brilliance have a weightage of 7%, 13% and 1% respectively.What is the increase in the price of the other shares, if the rise in these three is 9%, 10% and 4%, when the index rises by 6%?**

a) 4%

b) 3.4%

c) 6%

d) none

**19) Bindu put an amount x in the bank and obtained an interest of Rs 15 at the end of the year.She added Rs 85 to this amount and put the whole amount back in the bank for the second year at the end of the second year, Bindu obtained a total amount of Rs 420.What amount did she invest initially and what is the rate of interest being offered by the bank if the minimum amount that can be deposited is Rs 75?**

a)200, 10%

b) 300, 5%

c) 400, 6%

d) 350, 5%

**20) When a customer was bargaining with the milk man, the milk man argues that he is making a loss of 25%.****The truth is that he adds water to the milk; he makes a 12.5% profit. When he sells 2 litres of milk, how much pure milk is there?**

a) 666.7 ml

b) 1333.4 ml

c) 987 ml

d) 1654 ml

**21) P sells 15 chocolates to Q at a profit of 10% who sells it to R at a loss of 20% who sells it to S at a profit of 20% who sells it to T at a profit of 10% who sells it to U at a 50% profit. If the cost at which U bought the chocolates is 1287 , then find the initial cost of each chocolate?**

a) 75

b)30

c) 40

d) 50

**22) A publisher printed 3,000 copies of a book at a cost of Rs. 2,400.He gave 500 copies free to heads of institutions. He allowed a discount of 25% on published price and gave one extra copy when a customer buys 24 copies at a time. He sold all the copies in this scheme.If the published price is Rs. 3.25,find his gain or loss percentage.**

a) 143.75% gain

b) 43.75% gain

c) 43.75% loss

d) None of these

**23) In a parliamentary debate, a bill was being passed. 600 votes were cast initially but after some discussion, the opposition to the bill went up by 150%.The bill was then rejected by a majority 2 times as great as that by which it was passed previously.How many people rejected the bill initially?**

a) 500

b) 400

c) 300

d) 200

**Questions 24-25**

A dry ration retailer buys two grades of sugar from a wholesaler, one costing Rs 15/kg and another costing Rs 20/kg.He buys 10 kg of the first variety and some kg of the second variety and decides to make a profit of 20 % on the mixture.However, one day, he gets confused with the numbers written on the sack and sells 10 kg of the mixture for an amount equal to the total quantity of the mixture.He realizes his mistake later in the day and sells the balance sugar at the predetermined selling price.He does not lose any money in this imbroglio. (Numbers on the sack indicate only quantity and price)

**24).How many kg of the second variety of rice did he buy?**

a) 6 kg

b) 4 kg

c) 5 kg

d) 10 kg

**25) If he wants to get his profit of 20% after the mix-up, at what price should he sell the balance sugar?**

a) Rs 20/kg

b) Rs 30/kg

c) Rs 25/kg

d) cannot be determined.

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