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You Are On Multi Choice Question Bank SET 4389

219451. A piece of string is 40 cm long. It is cut into three pieces. The longest piece is three times as long as the middle-sized and the shortest piece is 23 cm shorter than the longest piece. Find the length of the shortest piece.





219452. Three travellers are sitting around a fire, and are about to eat a meal. One of them has 5 small loaves of bread, the second has 3 small loaves of bread. The third has no food, but has 8 coins. He offers to pay for some bread. They agree to share the 8 loaves equally among the three travellers, and the third traveller will pay 8 coins for his share of the 8 loaves. All loaves were the same size. The second traveller (who had 3 loaves) suggests that he will be paid 3 coins, and that the first traveller be paid 5 coins. The first traveller says that he should get more than 5 coins. How much should the first traveller get?





219453. In the following figure, ACB is a right-angled triangle. AD is the altitude. Circles are inscribed within the triangle ACD and triangle BCD. P and Q are the centers of the circles. The distance PQ is





219454. If u, v, w and m are natural numbers such that $$u^m + v^m = w^m$$, then which one of the following is true?





219455. In how many ways is it possible to choose a white square and a black square on a chessboard so that the squares must not lie in the same row or column?





219456. $$7^{6n} - 6^{6n}$$, where n is an integer > 0, is divisible by





219457. If pqr = 1, the value of the expression $$1/(1+p+q^{-1}) + 1/(1+q+r^{-1}) + 1/(1+r+p^{-1})$$





219458. It takes six technicians a total of 10 hr to build a new server from Direct Computer, with each working at the same rate. If six technicians start to build the server at 11 am, and one technician per hour is added beginning at 5 pm, at what time will the server be completed?[CAT 2002]





219459. Davji Shop sells samosas in boxes of different sizes. The samosas are priced at Rs. 2 per samosa up to 200 samosas. For every additional 20 samosas, the price of the whole lot goes down by 10 paise per samosa. What should be the maximum size of the box that would maximise the revenue?





219460. Three small pumps and a large pump are filling a tank. Each of the three small pump works at 2/3 the rate of the large pump. If all four pumps work at the same time, they should fill the tank in what fraction of the time that it would have taken the large pump alone?[CAT 2002]





219461. Four students — Ashish, Dhanraj, Felix and Sameer sat for the Common Entrance Exam for Management (CEEM). One student got admission offers from three NIMs (National Institutes of Management), another from two NIMs, the third from one NIM, while the fourth got none. Below are some of the facts about who got admission offers from how many NIMs and what is their educational background.I. The one who is an engineer didn’t get as many admissions as Ashish.II. The one who got offer for admissions in two NIMs isn’t Dhanraj nor is he a chartered accountant.III. Sameer is an economist.IV. Dhanraj isn’t an engineer and received more admission offers than Ashish.V. The doctor got the most number of admission offers.Which one of the following statements is necessarily true?
 





219462. Five boys went to a store to buy sweets. One boy had Rs. 40. Another boy had Rs. 30. Two other boys had Rs. 20 each. The remaining boy had Rs. 10. Below are some more facts about the initial and final cash positions.I. Alam started with more than Jugraj.II. Sandeep spent Rs. 1.50 more than Daljeet.III. Ganesh started with more money than just only one other person.IV. Daljeet started with 2/3 of what Sandeep started with.V. Alam spent the most, but did not end with the least.VI. Jugraj spent the least and ended with more than Alam or Daljeet.VII.Ganesh spent Rs.3.50.VIII. Alam spent 10 times more than what Ganesh did.In the choices given below, all statements except one are false. Which one of the following statements can be true?





219463. In a hospital there were 200 diabetes, 150 hyperglycaemia and 150 gastro-enteritis patients. Of these, 80 patients were treated for both diabetices and hyperglycaemia. Sixty patients were treated for gastro-enteritis and hyperglycaemia, while 70 were treated for diabetes and gastroenteritis. Some of these patients have all the three diseases. Dr. Dennis treats patients with only gastro-enteritis. Dr. Paul is a generalist. Therefore, he can treat patients with multiple diseases. Patients always prefer a specialist for their disease. If Dr. Dennis had 80 patients, then the other three doctors can be arranged in terms of the number of patients treated as:





219464. Three children won the prizes in the Bournvita Quiz contest. They are from the schools: Loyola, Convent and Little Flowers, which are located at different cities. Below are some of the facts about the schools, the children and the city they are from.I. One of the children is Bipin.II. Loyola School’s contestant did not come first.III. Little Flower’s contestant was named Riaz.IV. Convent School is not in Hyderabad.V. The contestant from Pune is not from Loyola School.VI. The contestant from Bangalore did not come first.VII. Convent School’s contestant’s name is not Balbir.VIII. The contestant from Pune came in third.Which of the following statements is true?





219465. Two boys are playing on a ground. Both the boys are less than 10 years old. Age of the younger boy is equal to the cube root of the product of the age of the two boys. If we place the digit representing the age of the younger boy to the left of the digit representing the age of the elder boy, we get the age of father of the younger boy. Similarly, if we place the digit representing the age of the elder boy to the left of the digit representing the age of the younger boy and divide the figure by 2, we get the age of mother of the younger boy. The mother of the younger boy is younger to his father by 3 years. Then, what is the age of the younger boy?





219466. Flights A and B are scheduled from an airport within the next one hour. All the booked passengers of the two flights are waiting in the boarding hall after check-in. The hall has a seating capacity of 200, out of which 10% remained vacant. 40% of the waiting passengers are ladies. When boarding announcement came, passengers of flight A left the hall and boarded the flight. Seating capacity of each flight is two-third of the passengers who waited in the waiting hall for both the flights put together. Half the passengers who boarded flight A are women. After boarding for flight A, 60% of the waiting hall seats became empty. For every twenty of those who are still waiting in the hall for flight B, there is one air hostess in flight A. What is the ratio of empty seats in flight B to the number of air hostesses in flight A?





219467. A country has the following types of traffic signals.3 red lights = stop2 red lights = turn left1 red light = turn right3 green lights = go at 100 km/hr speed2 green lights = go at 40 km/hr speed1 green light = go at 20 km/hr speedA motorist starts at a point on a road and follows all traffic signals. His car is heading towards the north. He encounters the following signals (the time mentioned in each case below is applicable after crossing the previous signal).Starting point - 1 green lightAfter half an hour, 1st signal - 2 red and 2 green lightsAfter 15 min, 2nd signal - 1 red lightAfter half an hour, 3rd signal - 1 red and 3 green lightsAfter 24 min, 4th signal - 2 red and 2 green lightsAfter 15 min, 5th signal - 3 red lightsThe total distance travelled by the motorist from the starting point till the last signal is
 





219468. What is the position (radial distance) of the most motorist when he reaches the last signal?





219469. After the starting point if the 1st signal were 1 red and 2 green lights, what would be the final position of the motorist?





219470. If at the starting point, the car was heading towards south, what would be the final position of the motorist?





219471. The following table provides data on the different countries and location of their capitals. (the data may not match the actual Latitude, Longitudes) Answer the following questions on the basis of this table.What percentage of cities located within 10 E° and 40 E° (10° East and 40° East) lie in the Southern Hemisphere?
 





219472. The number of cities whose names begin with a consonant and are in the Northern Hemisphere in the table





219473. The ratio of the number of countries whose name starts with vowels and located in the southern hemisphere, to the number of countries, the name of whose capital cities starts with a vowel in the table above is





219474. The following table gives details regarding the total earnings of 15 employees and the number of days they have worked on complex, medium and simple operation in the month of June 2002. Even though the employees might have worked on an operation, they would be eligible for earnings only if they have minimum level of efficiency.The number of employees who have earned more than Rs. 50 per day in complex operations is
 





219475. The number of employees who have earned more than Rs. 600 and having more than 80% attendance (there are 25 regular working days in June 2002; some might be coming on overtime too) is





219476. The employee number of the person who has earned the maximum earnings per day in medium operation is





219477. Among the employees who were engaged in complex and medium operations, the number of employees whose average earning per day in complex operations is more than average earning per day in medium operations is





219478. The following table shows the revenue and expenses in millions of Euros (European currency) associated with REPSOL YPF company’s oil and gas producing activities in operations in different parts of the world for 1998-2000.How many operations (Spain, North Africa and Middle East,..) of the company accounted for less than 5% of the total revenue earned in 1999?
 





219479. How many operations (Spain, North Africa and Middle East…) of the company witnessed more than 200% increase in revenue from 1999 to 2000?





219480. How many operations registered a sustained yearly increase in income before taxes and charges from 1998 to 2000?





219481. Ignoring the loss making operations of the company in 1998, for how many operations was the percentage increase in net income before taxes and charges higher than the average from 1998 to 1999?





219482. If profitability is defined as the ratio of net income after taxes and charges to expense, which of the following statements is true?





219483. In 2000, which among the following countries had the best profitability?





219484. If efficiency is defined as the ratio of revenue to expenses, which operation was the least efficient in 2000?





219485. Of the following statements, which one is not true?





219486. Chart 1 shows the distribution by value of top 6 suppliers of MFA Textiles in 1995.Chart 2 shows the distribution by quantity of top 6 suppliers of MFA Textiles in 1995.The total value is 5760 million Euro (European currency). The total quantity is 1.055 million tonnes.The country which has the highest average price is
 





219487. The average price in Euro per kilogram for Turkey is roughly





219488. There are 6 refineries, 7 depots and 9 districts. The refineries are BB, BC, BD, BE, BF and BG. The depots are AA, AB, AC, AD, AE, AF and AG. The districts are AAA, AAB, AAC, AAD, AAE, AAF, AAG, AAH, and AAI. Table A gives the cost of transporting one unit from refinery to depot. Table B gives the cost of transporting one unit from depot to a district.What is the least cost of sending one unit from any refinery to any district?
 





219489. What is the least cost of sending one unit from any refinery to the district AAB?





219490. What is the least cost of sending one unit from refinery BB to any district?





219491. What is the least cost of sending petrol from refinery BB to district AAA?





219492. How many possible ways are there for sending petrol from any refinery to any district?





219493. The largest cost of sending petrol from any refinery to any district is





219494. If for each year, the states are ranked in terms of the descending order of sales tax collections, how many states do not change the ranking more than once over the five years?





219495. Which of the following states has changed its relative ranking most number of times when you rank the states in terms of the descending volume of sales tax collections each year?





219496. The percentage share of sales tax revenue of which state has increased from 1997 to 2001?





219497. Which pair of successive years shows the maximum growth rate of tax revenue in Maharashtra?





219498. Identify the state whose tax revenue increased exactly by the same amount in two successive pair of years?





219499. Which state below has been maintaining a constant rank over the years in terms of its contribution to total tax collections?





219500. The table below gives information about four different crops, their different quality, categories and the regions where they are cultivated. Based on the information given in the table answer the questions below.How many regions produce medium qualities of Crop-1 or Crop-2 and also produce low quality of Crop-3 or Crop-4?
 





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