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Real Numbers Te...

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  • Question 1
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    Find the greatest number that will exactly divide both 360 and 42.

  • Question 2
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    Which of the following is the correct prime factorization of 1230?

  • Question 3
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    Which of the following expressions on simplification gives a rational number?

  • Question 4
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    What is the greatest number that will exactly divide 225 and 375?

  • Question 5
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    A shopkeeper has 420 Science books and 130 Maths books. He wants to stack them so that each stack has the same number of books and they take up the least area of his shelf. Each stack should have one type of book. How many books can be placed in each stack?

  • Question 6
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    Which of following is true for Euclid's division algorithm between two numbers 'a' and 'b'?

  • Question 7
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    The LCM of two numbers 72×32×5×2 and 23×5×7 is of form 2a×3b×5c×7d. What are the respective values of a, b, c, and d?

  • Question 8
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    In Euclid's Division Lemma, when a=bq+r where a and b are positive integers then what values r can take?

  • Question 9
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    Which of the following is an irrational number?

  • Question 10
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    Which of the following statements is/are true?
    (i) The sum of two irrational numbers is always an irrational number.
    (ii) The sum of a non-zero rational number and an irrational number is an irrational number.

  • Question 11
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    Which of the following is/are true?
    (i) Every composite number can be expressed as a product of prime numbers.
    (ii) Prime factorisation of a natural number is unique, but its order may vary.

  • Question 12
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    A wholesale dealer has stocks of three different varieties of tea weighing 132 kg, 156 kg and 84 kg. He wants to pack all of these into boxes of equal size, without mixing. What is the capacity of the largest possible box such that all the boxes are completely filled?

  • Question 13
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    Which of the following fractions will have a non-terminating decimal expansion?

  • Question 14
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    Traffic lights at three consecutive road crossings change after every 48 seconds, 72 seconds and 108 seconds. If the lights change simultaneously at 7:00:00 a.m, at what time will they again change simultaneously?

  • Question 15
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    Find the greatest number that will divide 90 and 107 and leave remainders 2 and 3, respectively.

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