## QBM013

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) a. 3.88% b. 4.72% c. 4.44% d. 4.72% 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? a. 1 b. 2 c. 3 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 END