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Class -10: Math

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Mukesh Pandit
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Mukesh PanditNCT#
Asked: December 31, 2023In: Class -10: Math

VIP

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The sum or difference of a rational and an irrational number is irrational.

The sum or difference of a rational and an irrational number is irrational.

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Mukesh Pandit
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Mukesh PanditNCT#
Asked: December 31, 2023In: Class -10: Math

Prove that

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31/2 is irrational.

31/2 is irrational.

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Mukesh Pandit
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Mukesh PanditNCT#
Asked: December 31, 2023In: Class -10: Math

What is an irrational number?

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  1. Mukesh Pandit
    Mukesh Pandit NCT# Chief Marketing Officer
    Added an answer on December 31, 2023 at 6:39 pm

    a number ‘s’ is called irrational if it cannot be written in the form , p/q , where p and q are integers and q not equals to 0.

    a number ‘s’ is called irrational if it cannot be written in the form , p/q , where p and q are integers and q not equals to 0.

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Mukesh Pandit
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Mukesh PanditNCT#
Asked: December 31, 2023In: Class -10: Math

There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?

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Mukesh Pandit
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Mukesh PanditNCT#
Asked: December 31, 2023In: Class -10: Math

Check whether 6n can end with the digit 0 for any natural number n.

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Mukesh Pandit
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Mukesh PanditNCT#
Asked: December 31, 2023In: Class -10: Math

Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.

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Mukesh Pandit
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Mukesh PanditNCT#
Asked: December 31, 2023In: Class -10: Math

Given that HCF (306, 657) = 9, find LCM (306, 657).

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Mukesh Pandit
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Mukesh PanditNCT#
Asked: December 31, 2023In: Class -10: Math

Find the LCM and HCF of the following integers by applying the prime factorisation method.

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12, 15 and 21 17, 23 and 29 8, 9 and 25

  1. 12, 15 and 21
  2. 17, 23 and 29
  3. 8, 9 and 25
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Mukesh Pandit
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Mukesh PanditNCT#
Asked: December 31, 2023In: Class -10: Math

Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers.

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26 and 91 510 and 92 336 and 54

  1. 26 and 91
  2. 510 and 92
  3. 336 and 54
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Mukesh Pandit
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Mukesh PanditNCT#
Asked: December 31, 2023In: Class -10: Math

Express each number as a product of its prime factors:

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140 156 3825 5005 429

  1. 140
  2. 156
  3. 3825
  4. 5005
  5. 429
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