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.

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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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