CAT 2002 Question Paper
Four students â Ashish, Dhanraj, Felix and Sameer sat for the Common Entrance Exam for Management (CEEM). Each of the students has one profession among the four: Doctor, Chartered Accountant, Engineer, and Economist. 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 didnât get as many admissions as Ashish.
II. The one who got the offer for admissions in two NIMs isnât Dhanraj nor is he a chartered accountant.
III. Sameer is an economist.
IV. Dhanraj isnât an engineer and received more admission offers than Ashish.
V. The doctor got the most number of admission offers.
For the following questions answer them individually
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 than what Ganesh did.
In the choices given below, all statements except one are false. Which one of the following statements can be true?
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:
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 Schoolâs contestant did not come first.
III. Little Flowerâs 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 Schoolâs contestantâs name is not Balbir.
VIII. The contestant from Pune came in third.
Which of the following statements is true?
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?
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?
A country has the following types of traffic signals.
3 red lights = stop
2 red lights = turn left
1 red light = turn right
3 green lights = go at 100 km/hr speed
2 green lights = go at 40 km/hr speed
1 green light = go at 20 km/hr speed
A 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 light
After half an hour, 1st signal - 2 red and 2 green lights
After 15 min, 2nd signal - 1 red light
After half an hour, 3rd signal - 1 red and 3 green lights
After 24 min, 4th signal - 2 red and 2 green lights
After 15 min, 5th signal - 3 red lights
The total distance travelled by the motorist from the starting point till the last signal is
What is the position (radial distance) of the most motorist when he reaches the last signal?
After the starting point if the 1st signal were 1 red and 2 green lights, what would be the final position of the motorist?
If at the starting point, the car was heading towards south, what would be the final position of the motorist?
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