Find the greatest number of students in a room to accommodate 135, 180, and 225 students completely?
Answer: 45
Explanation
To find the greatest number of students that can accommodate 135, 180, and 225 completely, we need to find the Highest Common Factor (HCF) of these numbers.
Step 1: Prime Factorization
135 = 3³ × 5
180 = 2² × 3² × 5
225 = 3² × 5²
Step 2: Identify Common Factors
Common factors = 3² × 5 = 9 × 5 = 45
This question appeared in
Past Papers (5 times)
ETEA 25 Years Past Papers Subject Wise (Solved) (2 times)
ETEA Past Papers (1 times)
KPK Teacher Past Papers SST PST CT TT PET (2 times)
This question appeared in
Subjects (1 times)
MATHS MCQS (1 times)
Related MCQs
- We have 60 students playing football and 55 playing cricket. If 5 students aren't playing any games, that means 95 students are playing at least one game. To find the number of students playing both games, we can use the principle of inclusion-exclusion.
- Find the greatest number that divides 36, 44 and 52 completely?
- In the exam, 45% of students fail and 550 passed find a total number of students who appeared in exam.
- In the exam, 45% of students failed and 550 students were successful. The total number of students appeared in the exam were:
- In the exam 45% students failed and 550 students were successful. The total number of students who appeared in the exam were:
- In an examination 25% candidates failed in Mathematics and 20% students failed in English. If 5% students failed in both the subjects, find the percentage of students who passed in both the subjects?
- If among 200 students, 105 like pizza and d134 like burgers, then the number of students who like only burger can possibly be
- In a group consisting of 49 students, 35 students like football and 29 like hockey. What is the number of students who like both football and hockey?
- In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is of the number of students of 8 years of age which is 48. What is the total number of students in the school?
- There are 27 students in chemistry class and 22 students in physics class, seven of these students take physics and chemistry. what is the ratio of the number of students taking only physics and chemistry?
