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#LP 1 : In a teacher’s workshop , the number of teachers teaching French , Hindi and English are 48 , 80 and 144 respectively. Find the minimum number of rooms required if in each room the same number of teachers are seated and all of them are of the same subject. [CBSE 2024] #LP 2: Find the greatest number which divided 85 and 72 leaving remainders 1 and 2 respectively. [CBSE 2023] #LP 3: (i) Find the LCM and HCF of 78 , 91 and 195. (ii) Check whether LCM ( a , b , c ) X HCF ( a , b , c ) = a X b X c where a , b and c are natural numbers. Show your work. #LP 4: Three bells ring at intervals of 6 , 12 and 18 minutes. If all the three bells rang at 6 a.m. , when will they ring together again? [CBSE 2023] #LP 5: National Art convention got registrations from students from all parts of the country , 60 are interested in music , 84 are interested in dance and 108 students are interested in handicrafts. For optimum cultural exchange , organisers wish to keep them in minimum number of groups such that each group consists of students interested in the same art form and the number of students in each group is the same. Find the number of student in each group. Find the number of groups in each art form. How many rooms are required if each group will be allotted a room. [ CBSE SQP 2023-24] #LP 6: Aadya has 143 stamps ; she gives away 11 stampls and divides the remaining equally into groups. Sumit has 220 stamps ; he gives away 11 stamps and divided the remaining equally into groups. (i) What is the number of groups? (ii) What is the number of stamps in Aadya’s and Sumit’s groups?
#LP 7: Find by prime factorization the LCM of the numbers 18180 and