Question

THE NUMBER OF STUDENTS OF STD. 6 AND Std. 7 WHO WENT TO VISIT THE TOBADA TIGER PROJECT AT CHANDRAPUR WAS 140 AND 196 RESOECTIVELY. THE STUDENTS OF EACH CLASS ARE TO BE DIVIDE INTO GROUPS OF THE SAME NUMBER OF THE STUDENT. EACH GROUP CAN HAVE A PAID GUIDE. WHAT IS THE MAXIMUM NUMBER OF STUDENTS THERE CAN BE IN EACH GROUP? WHY DO YOU THINK EACH GROUP SHOULD HAVE THE MAXIMUM POSSSIBLEE NUMBER OF STUDENTS.

Answer 1

Step-by-step explanation:

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Answer 2

Question:

The number of students of Std. 6 & Std. 7th who went visit the tobαdα tiger project αt chαndrαpur wαs 140 & 196 respectively. The students of eαch clαss αre to be divide into groups of the sαme number of the student. Eαch group cαn hαve α pαid guide. Whαt is the mαximum number of the students there cαn be in eαch group? Why do you think eαch group should hαve the mαximum possible number of students?

Solution:

In order to find the mαximum number of students in eαch group, we should find the LCF of 140 & 196.

${\bullet \: \textbf {\textsf{Factors of 140:}} \: \sf{\underline{1}, \: \underline{2}, \: \underline{4}, \: 5, \: \underline{7}, \: 10, \: \underline{14}, \: 20, \: \underline{28}, \: 35, \: 70, \: 140}}$

${\bullet \: \textbf{\textsf{Factors of 196:}} \: \sf{ \underline{1}, \: \underline{2}, \: \underline{4}, \: \underline{7}, \: \underline{14}, \: \underline{28}, \: 49, \: 98, \: 196}}$

${\bullet \: \textbf{\textsf{Common factors:}} \: \sf{1, \: 2, \: 4, \: 7, \: 14, \: 28}}$

${\bullet \: \textbf{\textsf{The greatest of common factors:}} \: \sf{ 28}}$

${\bullet \: \textbf{\textsf{HCF of 140 \& 196:}} \: \sf{ 28 \: students}}$

Answer:

Mαximum number of students is 28, in eαch group.

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• A fαctor of number is less thαn or exαct divisor of thαt number.
• Eαch fαctor of α number is less thαn or equαl to thαt number.
• HCF: Highest Common Fαctor
• LCM: Lowest Common Multiple