Q1. A jogging park has two identical circular tracks touching each other, and a rectangular track enclosing the two circles. The edges of the rectangles are tangential to the circles. Two friends, A and B, start jogging simultaneously from the point where one of the circular tracks touches the smaller side of a rectangular track. A jogs along the rectangular track, while B jogs along the two circular tracks in a figure of eight. Approximately, how much faster than A does B have to run, so that they take the same time to return their starting point? (CAT 2005)
In an examination, there are 100 questions divided into three groups A, B and C such that each group contains at least one question. Each question in group A carriers 1 mark, each question in group B carries 2 marks and each question in group C carries 3 marks. It is known that the questions in-group A together carry at least 60% of the total marks. (CAT 2004)
Q2. If group B contains 23 questions, then how many questions are there in group C?
d. Cannot be determined
Q3. Average monthly income of a family of 4 earning members was Rs 735. One of the earning members died and therefore the average income came down to Rs. 650. The income of the deceased was:
(a) Rs. 692.80
(b) Rs. 820
(c) Rs. 990
(d) Rs. 1385
Q4. A candidate who gets 20% marks fails by 20 marks but another candidate who gets 42% gets 12 more than the passing marks. Find the maximum marks.
Q5. 30% of the men are more than 25 years old and 80% of the men are less than or equal to 50 years old. 20% of all men play football. If 20% of the men above the age of 50 play football, what percentage of the football players are less than or equal to 50 years?
Q6. On a journey across Delhi, a taxi averages 30 kmph for 60% of the distance, 20 kmph for 20% of it and 10 kmph for the remainder. The average speed for the whole journey is:
Q7. A mixture contains cement and sand in the ratio 2: 3. what is the percentage of sand in the mixture?
Q8. If the price of petrol increases by 25% and Raj intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?
Q9. The average weight of A, B C is 45 kg. If the average weight of A and B be 40 and that of B and C be 43 kg, then the weight of B is:
Q10. At the end of year 1998, Shepherd bought nine dozen goats. Henceforth, every year he added p% of the goats at the beginning of the year and sold q% of the goats at the end of the year where p > 0 and q > 0 . If shepherd had nine dozen goals at the end of year 2002, after making the sales for the year, which of the following is true? (CAT 2003)
a. p = q
b. p < q
c. p > q
d. p = q/2
Q11. The average salary per head of all workers in a workshop is Rs. 850. If the average salary per head of 7 technicians is Rs 1000 and the average salary per head of the rest is Rs 780, the total number of workers in the workshop is:
Q12. The average earning of a mechanic for the first four days of a week is Rs 18 and for the last four days is Rs 22. If the earns Rs 20 on the fourth day, is average earning for the whole week is:
(a) Rs. 18.95
(b) Rs. 16
(c) Rs. 20
(d) Rs. 25.71
Q1. The two owners of an art shop conduct his business in the following manner. Every once in a while he raises his price by X %, then a while later he reduces all the new prices by X %. After one such up-down cycle, the price of a painting decreased by Rs. 441. After a second up-down cycle, the painting was sold for Rs. 1944.81. What was the original price of the painting (in Rs.) ? ( CAT, 2001)
Q2. A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6:7:8:9:10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 50% mark is: ( CAT, 2001)
Q3. A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represents 60% of the people, the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people to be solicited? ( CAT, 2001)
Q4. If the prices of petrol increase by 20%, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?
Q5. In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 18 years is replaced by a new boy. The age of the new boy is:
(a) 14 years 8 months
(b) 15 years
(c) 16 years 4 months
(d) 17 years 10 months.
Q6. Peter got 30% of the maximum marks in an examination and failed by 10 marks. However, Paul who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What was the passing marks in the examination?
Q7. A shopkeeper gives two successive discounts of 8% and 12%. What is the overall discount?
Q8. An alloy contains 20g copper, 30g tin and 60g silver and nothing else. What is the percentage of component in tin?
Q9. Forty per cent of the employees of a certain company are men, and 75% of the men earn more than Rs, 25,000 per year. If 45% of the companyâ€™s employee earn more than Rs.25,000 per year, what fraction of the women employed by the company earn Rs. 25,000 per year? ( CAT, 2001)
Q10. The average weight of 8 persons is increased by 2.5 kg when one of them whose weight is 56 kg is replaced by a new man. The weight of the new man is:
(a) 66 kg
(b) 75 kg
(c) 76 kg
(d) 86 kg
Q11. An election contested by two candidates the loser secured 43% votes and lost by a margin of 42000 votes. How many voted in the election?
Q12. After three successive equal percentage rise in the salary the sum of 100 rupees turned into 140 rupees and 49 paise. Find the percentage rise in salary?
Q13. The average of the daily income of A, B and C is Rs. 60. If B earns Rs. 20 more than C and A earns double of what C earns; what is the daily income of C?
(a) Rs. 75
(b) Rs. 60
(c) Rs. 40
(d) none of these
Q14. The average of marks obtained by 120 candidates was 35. If the average of marks of passed candidates was 39 and that of failed candidates was 15, the number of candidates who passed the examination is:
Q15. The rate of increase of the price of sugar is observed to be two percent more than the inflation rate expressed in percentage. The price of sugar, on January 1, 1994 is Rs. 20 per kg. The inflation rates of the years 1994 and 1995 are expected to be 8% each. The expected price of sugar on January 1, 1996 would be:
Q1. One bacteria splits into eight bacteria of the next generation. But due to enviroment, only 50% of one generation can produce the next generation. If the seventh generation number is 4096 million, what is the number in first generation?
a. 1 million
b. 2 million
c. 4 million
d. 8 million
Q2. A nab earns x% on the first Rs. 2,000 and y % on the rest of his income. If he earns Rs. 700 from Rs.4,000 and Rs.900 from Rs. 5,000 of income, find x% ?
d. None of these
Q3. I bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more what I had paid. What percent of the total amount paid by me was paid for the pens?
Q4. A wholesaler allows a discount of 20% to the retailer. The retailer sells at 5% below the list price. If the customer pays Rs. 19 for an article, what is the profit made by the retailer?
Q5. The average consumption of petrol for a car for seven months is 110 litres and for next five months it is 86 litres. The average monthly consumption is:
(a) 96 litres
(b) 98 litres
(c) 100 litres
(d) 102 litres
Q6. A shepherd has 1 million sheeps at the beginning of Year 2000. The numbers grow by x% (x > 0) during the year. A famine hits his village in the next year and many of his sheeps die. The sheep population decreases by y% during 2001 and at the beginning of 2002 the shepherd finds that he is left with 1 million sheeps. Which of the following is correct?
a. x > y
b. y > x
c. x = y
d. Cannot be determined
Q7. Rohit went to fruit market with Rs. X . with this money he can buy either 50 oranges or 40 mangoes. He retains 10% of money for bus fare. If he buys 20 mangoes the number of oranges he can buy is : 20
Q8. Amit's weight is 140% of Abhishek's weight. Arun's weight is 90% of Atwal's weight. Atwal weighs twice as much as Abhishek. What percentage of Amit weight is Arun's weight?
Q9. The price of a Maruti car rises by 30% while sales of the cars come down by 20%. What is the percentage change in the total revenue?
Q10. The average temperature of the first three days is 27º C and that of the next three is 29º C. If the average of the whole week is 28.5ºC, the temperature of the last day of the week is:
(a) 10.5º C
Q1. 2/5 of the voters promise to vote P and the rest promised to vote Q. Of these, on the last day 15% of the voter went back of their promise to vote for P and 25% of voters went back of their promise to vote for Q, and p lost by 2 votes. Then, the total number of voters is :
Q2. The number of votes not cast for the Praja Party increased by 25% in the national general election over those not cast for it in the previous Assembly polls, and the Praja Party lost by a majority twice as large as that by which it had won the Assembly Polls. If a total 2,60,000 people voted each time, how many voted for the Praja Party in the previous Assembly Polls?
Q3. The average of three numbers is 42. The first is twice the second and the second is twice the third. The difference between the largest and the smallest number is:
Q4. A report consists of 20 sheet each of 55 lines and each lines consists of 65 characters . This report is reduced onto sheets each of 65 lines such that each line consists of 70 characters. The percentage reduction in number of sheets closest to :
Q5. Ram babu generally wears his brother's shirt. One day he noticed that he is wearing a shirt which is 15% more than his height. If the length of shirt is 120cm find the actual size of Ram babu's shirt?
Q6. In a mixture 80lts of 2 varieties of petrol (variety A and variety B), 25% of the mixture id of variety A. How much quantity of variety B must be added to the mixture so that Varity A constitutes 20% of the whole mixture. ?
Q7. The price of a certain article was raised by 10% in India. The consumption of the same article was increased from 200 tons to 225 tons. By how much percent will the expenditure on the article rise in the Indian economy?
Q8. If a, b, c, d, e are five consecutive odd numbers, their average is:
(a) 5 (a + 4)
(d) none of these
Q9. 30% of the men are more than 25 years old and 80% of the men are less than or equal to 50 years old. 20% of all men play football. If 20% of the men above the age of 50 play football, what percentage of the football players are less than or equal to 50 years?
There are 60 students in a class. These students are divided into three groups A, B and C of 15, 20, and 25 students each. The groups A and C are combined to form group D.
Q10. What is the average weight of the students in group D?
a. More than the average weight of A.
b. More than the average weight of C.
c. Less than the average weight of C.
d. Cant be determined
Q11. If one student from A is shifted to group B, which of the following is true?
a. The average weight of both groups increases
b. The average weight of both groups decreases
c. The average weight of the class remains the same
d. Cant be determined
Q12. If all the students of the class have the same weight , then which of the following is false?
a. The average weight of all the four groups is the same.
b. The total weight of A and C is twice the total weight of B
c. The average weight of D is greater than the average weight of A.
d. The average weight of all the groups remains the same even if a number of students are shifted from one group to another.
Q13. The minimum quantity of milk in liters(in whole number) that should be mixed in a mixture of 60 liters in which the initial ratio of milk to water is 1 : 4 so that the resulting mixture has 15% milk is ?
Q14. The average of 50 numbers is 38. If two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is:
Q15. If the cost price of 20 articles is equal to the selling price of 16 articles, What is the percentage of profit or loss that the merchant makes?
Q1. The average marks of a student 10 paper are 80. If the heighest and the lowest are not considered, the average is 81. If the highest score is 92, find the lowest? (CAT 1997)
Q2. Ram purchased a flat at Rs. 1 lakh and Prem purchased a plot of land worth Rs. 1.1 lakh. The respective annual rates at which the prices of the flat and the plot increased were 10% and 5%. After two year, they exchanged their belongings and one paid the other the difference. ( CAT 1995)Then:
a. Ram paid Rs. 275 to prem
b. Ram paid Rs. 475 to prem
c. Ram paid Rs. 375 to prem
d. prem paid Rs. 275 to Ram
Q3. Amit sells 36 apples per rupee and suffers a loss of 4%. Find out that how many apples Amit should sell to make gain 8% ?
Q4. The average of odd numbers upto 100 is:
Q5. A person saves 6% of his income. Two years later, his income shoots up by 15% but his savings remain the same. Find the hike in his expenditure.
Q6. Two numbers X and Y are 20% and 28% less than a third number Z. Find by what percentage is the number Y less than the number X?
Q7. Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 56, the three numbers in order are
Q8. A man invests Rs. 3,000 at the rate of 5% per annum . How much more should he invest at the rate 8%, so that he can earn a total of 6% per annum? (CAT 1995)
Q9. The rate of inflation was 1000%. Then, what will be the cost of an article, which costs 6 units of currency now, 2 years from now. ( CAT 1995)
Q10. For a certain article if discount is 25% the profit is 25% , if the discount is 10% then profit is ?
Q11. The average of 30 results is 20 and the average of other 20 results is 30. What is the average of all the results?
Q12. A shopkeeper sells 10 oranges for a rupee. Thereby he gains 40%. Find out how many oranges did he buy for a rupee?
Q13. A vendor sells 60 percent of apples he had and throws away 15 percent of the remainder. Next day he sells 50 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw?
Q2. A's salary is first increased by 25% and then decreased by 20%.The result is same as B's salary increased by 20% and then reduced by 25%. Find the ratio of B's salary to A's?
Q3. A fruit seller buys some apples at 15 per rupee and an equal number at 10 per rupee. He aims to ensure a gain of 20% by selling then at uniform price. Hence the number of applets should sell per rupee is ?
Q4. Manish bought X vases for Rs.100. There vases were damaged in transit but by selling the rest of the vases at a profit of 12.5%, he made an overall profit of Rs.8. Compute x?
Q5. The average age of A, B, C, D five years ago was 45 years. By including X, the present average age of all the five is 49 years. The present age of X is:
(a) 64 years
(b) 48 years
(c) 45 years
(d) 40 years
Q6. A person who has a certain amount with him goes to market . He can buy 50 oranges or 40 mangoes. He retains 10% of the amount for taxi fares and buys 20 mangoes and of the balance, he purchases oranges Number of oranges he can purchase is :
Q7. X's income is 20% lower than Y's salary and Y's salary is 15% lower than Z's salary. Find out how much percent is Z's salary more than X's salary ?
Q8.Average temperature of first 4 days of a week is 38.6º C and that of the last 4 days is 40.3º C. If the average temperature of the week be 39.1º C, the temperature on 4th day is:
(a) 36.7º C
(b) 38.6º C
(c) 39.8º C
(d) 41.9º C
Q9. In a survey of political preferences, 78% of those asked were in favor of at least one of the proposals: I , II and III. 50% of those asked favored proposal I, 30% favored proposal II and 20% favored proposal III. If 5% of those asked favor all three of the proposals, what percentage of those asked favored more than one of the three proposals? ( CAT, 1999)
Q10.In class VI, there were 20% absentees. If 40 students turned up, what is the total strength of the class?
Q11.If the price of sugar falls by 75/2 %, a person can buy 33 kgs more for Rs.560.If the price had been risen by 75/2 %, how much sugar would he have bought for the same sum ?
Q12. The average age of a husband and a wife was 23 years when they were married 5 years ago. The average age of the husband, the wife and a child, who was born during the interval, is 20 years now. How old is the child now?