real numbers HCF LCM cbse 10th maths ( part 3)

 real numbers HCF LCM cbse 10th maths ( part 3) 

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Find the smallest number which is divisible by both 644 and 462.

solution 

2.

Two numbers are in the ratio 4: 5 and their HCF is 11. Find the LCM of these numbers.

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3.

Given that HCF (306, 1314) = 18,
find LCM of (306, 1314).

solution 

real Numbers H.C.F and L.C.M cbse 10th maths old board exam question paper sample question paper sqp

 real numbers , hcf , lcm ... (part2)

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prove that{  [  2 -  √(3) ] / 5 } is irrational

given that √(3) is irrational

solution 

2.

Find the H.C.F and L.C.M of 480 and 720 using the Prime factorisation method.

solution 

3.

There is a circular path around a sports  field.Three cyclists start from the same point and at the same time and go in the same direction.If they take  30 minutes,  40 minutes and 48 minutes  respectively to  complete one  round of the field, after how  many  minutes will they meet  again at the starting point?

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4.

Two alarm clocks ring  their alarms at regular intervals of 20 minutes and 25 minutes respectively. If they first beep together at 12 noon, at what time will they beep again together next time?

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5.

Teaching Mathematics through activities is a powerful approach that enhances students' understanding and engagement. Keeping this in mind, Ms. Mukta planned a prime number game for class 5 students. She announces the number 2 in her class and asked the first student to multiply it by a prime number and then pass it to second student. Second student also multiplied it by a prime number and passed it to third student. In this way by multiplying to a prime number, the last student got 173250.

solution 

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Real Numbers H.C.F, LCM ... cbse 10th maths revision questions

 Real Numbers H.C.F,  LCM ... (part 1)

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A milk man has 175 litres of cow’s milk and 105 litres of buffalo’s milk. He wishes to sell the milk by filling the two types of milk in cans of equal capacity. Calculate the following  (i) Capacity of a can  (ii) Number of cans of cow’s milk  (iii) Number of cans of buffalo's milk

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2.National Art convention got registrations from students from all parts of the country, of

which 60 are interested in music, 84 are interested in dance and 108 students are interestedin 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 artform
and the number of students in each group is the same. Find the number of students 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?

solution 

3.Find by prime factorisation the L.C.M. of the numbers 18180 and 7575. Also  find the HCF of the two numbers

4. Find the smallest number which is divisible by 8, 9 and 10

5. Three bells  toll at intervals  of 9, 12 and 15 minutes respectively. If they start tolling together, after what time will they next toll together

solution 

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