In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ?
- 6
- 12
- 18
- 24
The Correct Option is B
Solution and Explanation
Let the number of boys in the class be \(b\).
According to the question,
\(\frac 23 b = 18\)
\(b = 24\)
Let the total number of students in the class be \(t\).
According to the question,
\(\frac 23t = 24\)
\(t = 36\)
Total number of students in class \(= 36\)
Number of girls in the class \(= 36 - 24 = 12\)
So, the correct option is (B) : 12.
Top Questions on Puzzle
- What will come in the place of x?
- In a class of 10 students, K is to the left of L but to the right of M. N is to the left of M and to the right of J. J is to the left of K but to the right of L. Which of the following is true?
- A monkey climbs 30 feet at the beginning of each hour and rests for a while when it slips back 20 feet before it again starts climbing at the beginning of the next hour. If he begins his ascent at 8:00 am, at what time will he first touch a flag at 120 feet from the ground?
A, B, C, D, E, F and G are travelling in three different vehicles: Swift, Creta, and Nexon. There are at least two passengers in each vehicle. Among them, only two are male. There are two engineers, two doctors and three teachers.
(i) C is a lady doctor and she does not travel with A and F, who are sisters.
(ii) B, a male engineer, travels with only G, a teacher, in a Swift.
(iii) D is a male doctor.
(iv) Two persons belonging to the same profession do not travel in the same vehicle.
(v) A is not an engineer and travels in a Creta.
(vi) The pair of sisters A and F travels in the same vehicle.
What is the profession of F?
- In a remote research outpost, five scientists (Dr. Anand, Dr. Beena, Dr. Chirag, Dr. Dinesh, and Dr. Elango) are studying a rare phenomenon. They communicate through a secure, text-based system. Over the course of an hour, the following exchanges occur: \[\begin{array}{rl} \bullet & \text{1. Dr. Anand sends a message to Dr. Beena and Dr. Chirag} \\ \bullet & \text{2. Dr. Beena replies only to Dr. Anand.} \\ \bullet & \text{3. Dr. Anand sends a reminder message to who did not reply.} \\ \bullet & \text{4. Dr. Chirag sends a message to Dr. Dinesh and Dr. Elango.} \\ \bullet & \text{5. While replying to Dr. Chirag, Dr. Dinesh accidentally sends a "Reply All."} \\ \bullet & \text{6. Dr. Elango, having received Dr. Chirag's message, sends a message to Dr. Beena.} \\ \end{array}\] At the end of this hour, who has received the most messages directly from other scientists within the group? (Consider only messages sent within the described hour and only between the five scientists mentioned.)
Questions Asked in MAT exam
- Sumit can row a distance of 9 km in one hour in still water and he can now row the same distance in 45 minutes with the current. Find the total time taken by him to row 36 km with the current and return to the starting point.
- MAT - 2025
- Boat and Stream
- An international NGO for homeless people has supplied certain items for ongoing winters to new shelters for homeless people. These consist of different items like blankets, jackets, shoes, socks, and room heaters. The total number of five items distributed in December 2024 was 3300.
- 24% of all items were blankets.
- $\frac{1}{6}$ of all items were jackets.
- 14% of all items were shoes.
- Remaining items were either socks or room heaters.
- The number of room heaters distributed was 100 more than the number of socks distributed.
Find the ratio between the number of room heaters and the number of shoes?- MAT - 2025
- Data Analysis
- A batch of 36 school children goes for an excursion trip to Nainital. When one 10-year-old child is replaced with another child, the average age of the children in the batch increases by \( 2\frac{1}{2} \) months. What is the age of the new child?
- MAT - 2025
- Average
- Five people -- Akash, Bidhan, Chandan, Dinesh, and Esha -- are sitting around a circular table. The following conditions are given:
1. Chandan is third to the right of Farooq.
2. Bidhan is second to the right of Chandan.
3. Dinesh is not sitting next to Chandan.
4. Akash is not sitting next to Bidhan
Which pair is sitting next to each other?- MAT - 2025
- Seating Arrangement
- Mohan can reach his destination on time by travelling at a speed of 54 km/hr. If one-fourth of the time, he covers \( \frac{2}{9} \) of the total distance, at what speed should the remaining distance be travelled so as to reach his destination on time?
- MAT - 2025
- Time, Speed and Distance