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Rational Number...

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  • Question 1
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    Multiply the difference between and by their sum.

  • Question 2
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    The difference between additive inverse and multiplicative inverse of 6 is

  • Question 3
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    The product of two rational numbers is . If one of the rational number is , then find the other.

  • Question 4
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    If b = 6, then what is the value of ?

  • Question 5
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    Which of the following statements is true?

    1. The additive inverse of a is .

    2. The multiplicative inverse of a is - a.
    3. The sum of multiplicative inverse and additive inverse of a is .
    4. The reciprocal of a is - a.

  • Question 6
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    The multiplicative inverse of is

  • Question 7
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    Which property of rational numbers is indicated below?

    × = ×

  • Question 8
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    If p = , then |-p| is equal to

  • Question 9
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    Which of the following options is true?

  • Question 10
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    Which among the following is the rational number which does not lie between and ?

  • Question 11
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    Simplify the following expression:


  • Question 12
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    What should be added toto get ?

  • Question 13
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    Simplify:

  • Question 14
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    If a = and b =, find the value of (a - b) ÷ (a + b).

  • Question 15
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    If x = , then which of the following rational numbers lies between x and |x|?

  • Question 16
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    In a certain company, there are 58 employees in the IT department. of males and of females come to office by their own vehicles. The total of 32 employees come to office by their own vehicles. Find the number of males in the IT department.

  • Question 17
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    Sahil's monthly income is Rs. 24,000. He gives of the amount to Raman and of the amount to Akshay. How much amount is left with Sahil?

  • Question 18
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    One bowl of pulses requires cup of salt. Another recipe for the same bowl of pulses requires 2 tablespoons of salt. If 1 tablespoon is equal to cup, how much more salt does the first recipe require than the second recipe?

  • Question 19
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    The following table shows the heights of different people in a certain city:

    Names Govind Arsh Preet Sahib
    Height feet 5 feet feet 6 feet

    What is the difference between the heights of Govind and Sahib?

  • Question 20
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    In a technical festival, there were males and females. If of them were females and there were 45 more males than females, then how many people were there in the festival?

  • Question 21
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    Which of the following statements is incorrect?

  • Question 22
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    Match the columns:

    Column I Column II
    (P) Two numbers are called reciprocal to each other if their product is (A)
    (Q) If , then x is equal to (B)
    (R) The additive inverse of is (C) a rational number
    (S) The sum of two rational numbers is always (D) 1

  • Question 23
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    Fill in the blanks.
    i) Zero has P reciprocal.
    ii) The numbers Q and R are their own reciprocals.
    iii) The reciprocal of a positive rational number is S .

    Options P Q R S
    (A) no -1 2 positive
    (B) no -1 1 positive
    (C) 1 -1 1 positive
    (D) no -1 1 negative

  • Question 24
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    Which of the following options is true for the given statements?

    Statement I: If x + 0 = 0 + x = x, which is a rational number, then 0 is called the identity for the addition of rational numbers.
    Statement II:

  • Question 25
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    State T for True and F for False.

    (i) The rational numbers and are on the opposite side of zero on the number line.
    (ii) The difference between any two rational numbers is always a rational number.
    (iii) Subtraction of two rational numbers is commutative.
    (iv) Subtraction of rational numbers is not associative.

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