Comprehension
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.
Question: 1
Which one of the following statements is necessarily true?
Which one of the following statements is necessarily true?
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Carefully track the details for each individual and verify the number of offers they received against their field of study.
Updated On: Aug 4, 2025
- Ashish is a chartered accountant and got offer for admission in three NIMs.
- Dhanraj is a doctor and got admission offer in one NIM.
- Sameer is an economist who got admission offers in two NIMs.
- Felix who is not an engineer did not get any offer for admission.
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The Correct Option is C
Solution and Explanation
From the data provided, Sameer is an economist, and he received admission offers from two NIMs, making option (3) the true statement.
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Question: 2
In the choices given below, all statements except one are false. Which one of the following statements can be true?
In the choices given below, all statements except one are false. Which one of the following statements can be true?
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Cross-check all given facts and statements to eliminate false options and validate the true one.
Updated On: Aug 4, 2025
- Alam started with Rs. 40 and ended with Rs. 9.50.
- Sandeep started with Rs. 30 and ended with Re. 1.
- Ganesh started with Rs. 20 and ended with Rs. 4.
- Jugraj started with Rs. 10 and ended with Rs. 7.
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The Correct Option is C
Solution and Explanation
Based on the constraints and the facts provided, the valid statement is that Ganesh started with Rs. 20 and ended with Rs. 4. The other statements contradict the conditions provided.
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Question: 3
In a hospital there were 200 diabetes, 150 hyperglycaemia and 150 gastro-enteritis patients. Of these, 80 patients were treated for both diabetes and hyperglycaemia. Sixty patients were treated for gastro-enteritis and hyperglycaemia, while 70 were treated for diabetes and gastro-enteritis. 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:
In a hospital there were 200 diabetes, 150 hyperglycaemia and 150 gastro-enteritis patients. Of these, 80 patients were treated for both diabetes and hyperglycaemia. Sixty patients were treated for gastro-enteritis and hyperglycaemia, while 70 were treated for diabetes and gastro-enteritis. 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:
Show Hint
In problems like this, focus on categorizing patients based on their diseases and assigning them to the respective specialists or generalists.
Updated On: Aug 4, 2025
- Paul>Gerard>Hormis
- Gerard>Paul>Hormis
- Paul>Hormis>Gerard
- None of these
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The Correct Option is A
Solution and Explanation
To solve this, we need to allocate patients to the respective doctors. Dr. Dennis treats only those with gastro-enteritis, so he has 80 patients. For Dr. Paul, who is a generalist, he would have treated the remaining patients from all three diseases, with no preference for one over the other. Based on this, we can arrange the doctors by the number of patients treated as Paul>Gerard>Hormis.
\[
\boxed{Paul>Gerard>Hormis}
\]
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Question: 4
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.
One of the children is Bipin.
Loyola School’s contestant did not come first.
Little Flower’s contestant was named Riaz.
Convent School is not in Hyderabad.
The contestant from Pune is not from Loyola School.
The contestant from Bangalore did not come first.
Convent School’s contestant’s name is not Balbir.
Which of the following statements is true?
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.
One of the children is Bipin.
Loyola School’s contestant did not come first.
Little Flower’s contestant was named Riaz.
Convent School is not in Hyderabad.
The contestant from Pune is not from Loyola School.
The contestant from Bangalore did not come first.
Convent School’s contestant’s name is not Balbir.
Which of the following statements is true?
One of the children is Bipin.
Loyola School’s contestant did not come first.
Little Flower’s contestant was named Riaz.
Convent School is not in Hyderabad.
The contestant from Pune is not from Loyola School.
The contestant from Bangalore did not come first.
Convent School’s contestant’s name is not Balbir.
Which of the following statements is true?
Show Hint
Clue-based logic and process of elimination are essential for solving such ranking problems.
Updated On: Aug 4, 2025
- 1st prize: Riaz (Little Flowers), 2nd prize: Bipin (Convent), 3rd prize: Balbir (Loyola)
- 1st prize: Bipin (Convent), 2nd prize: Riaz (Little Flowers), 3rd prize: Balbir (Loyola)
- 1st prize: Riaz (Little Flowers), 2nd prize: Balbir (Loyola), 3rd prize: Bipin (Convent)
- 1st prize: Bipin (Convent), 2nd prize: Balbir (Loyola), 3rd prize: Riaz (Little Flowers)
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The Correct Option is C
Solution and Explanation
From the given clues:
- Loyola's contestant did not come first, so Balbir can't be first.
- The contestant from Pune isn't from Loyola, so Bipin must be from Convent.
- Riaz is from Little Flowers and didn’t come first.
- The contestant from Bangalore didn’t come first, so the order must be Riaz (1st), Balbir (2nd), Bipin (3rd).
Thus, the Correct Answer is: 1st prize: Riaz (Little Flowers), 2nd prize: Balbir (Loyola), 3rd prize: Bipin (Convent).
\[
\boxed{1st \text{ prize: } Riaz (Little Flowers), 2nd \text{ prize: } Balbir (Loyola), 3rd \text{ prize: } Bipin (Convent)}
\]
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Question: 5
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 the 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 the 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?
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 the 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 the 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?
Show Hint
These types of problems require careful reading and application of algebraic reasoning to determine relationships and form equations.
Updated On: Aug 4, 2025
- 3
- 4
- 2
- None of these
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The Correct Option is B
Solution and Explanation
Let the ages of the younger boy be \( x \) and the elder boy be \( y \). According to the problem:
1. \( x = \sqrt[3]{x \cdot y} \).
2. The number formed by placing \( x \) to the left of \( y \) represents the father’s age.
3. The number formed by placing \( y \) to the left of \( x \) and dividing by 2 represents the mother’s age.
4. The mother is 3 years younger than the father.
By solving these equations, we find that the younger boy's age is 2 years.
\[
\boxed{2}
\]
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Question: 6
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 the boarding announcement came, passengers of flight A left the hall and boarded the flight. Seating capacity of each flight is two-thirds of the passengers who waited in the waiting hall for both 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?
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 the boarding announcement came, passengers of flight A left the hall and boarded the flight. Seating capacity of each flight is two-thirds of the passengers who waited in the waiting hall for both 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?
Show Hint
These seating and ratio problems require logical thinking and careful breakdown of the given numbers and ratios.
Updated On: Aug 4, 2025
- 10:1
- 5:1
- 20:1
- 1:1
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The Correct Option is A
Solution and Explanation
The seating capacity of each flight is two-thirds of the total number of passengers, so after flight A's passengers board, 60% of the seats are empty. By calculating the number of passengers who boarded flight A and comparing it to the remaining passengers for flight B, we can find the ratio of empty seats in flight B to the number of air hostesses in flight A as 10:1.
\[
\boxed{10:1}
\]
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