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  • Question 1
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    You want to distribute 20 sweets among your classmates on your birthday. You are required to distribute equal number of sweets in each of the 5 rows of the class. Which of the following equations would you use to find the number of sweets (s) to be distributed in each row?

  • Question 2
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    Solve the following equation for q:

    25 - 2q = 15

  • Question 3
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    Subtracting 10 from 15 less than thrice a number gives 20 as the result. The number is

  • Question 4
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    Which of the following equations does not give 7 as the solution for s?

  • Question 5
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    184 toy cars are to be distributed between two classes in such a way that of the number of toy cars for one class is more than of the number of toy cars for the other class by 8. Find the greater number of toy cars between the two.

  • Question 6
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    If , then find the value of x.

  • Question 7
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    Find the value of 'a' for the following equation to be true:

    18 - (20 - 16 ÷ 4 × 4) + a = 60

  • Question 8
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    When of a number, of the same number and of the same number are added together, the sum obtained is 45. Find the number.

  • Question 9
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    One of the two supplementary angles is 35°. Find out the other angle.

  • Question 10
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    Find out the value of 'x' in the following equation:


  • Question 11
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    If , then what is the value of x?

  • Question 12
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    If of a number is 150, then what is of the same number?

  • Question 13
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    Find the value of 'x' in the following expression:


  • Question 14
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    Which of the given options is not one of the steps in solving the following equation?

    4x + 99 = -1

  • Question 15
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    Among the following equations of the form, y = mx + c, where y, m and c are constants, which one gives x = as the solution?

  • Question 16
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    A's age is half the age of his brother. 5 years from now, the difference between the ages of the two brothers will be only 3 years. Find the current age of A's brother.

  • Question 17
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    Represent the following scenario in a mathematical equation:

    There are two types of chocolates: Big and Small. The length of one big chocolate is 5 cm more than the combined length of 5 small chocolates. If the length of one big chocolate is 0.30 m, then form an equation to determine the length of a small chocolate.

  • Question 18
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    At a railway station, the number of women is 200 more than thrice of number of men. Find the number of men at the station if the number of women is 500.

  • Question 19
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    In a company, it is announced that the maximum incentive to be given to an employee is Rs. 600 more than 5 times the minimum incentive. If the amount of maximum incentive is Rs. 3000, then find the amount (in Rs.) of minimum incentive.

  • Question 20
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    Some children are sitting in a park. They have a certain number of chocolates. If each child eats 2 chocolates, then 2 extra chocolates will be left. If eat child eats 3 chocolates, then they will be short by 2 chocolates. Find the number of children and the number of chocolates, respectively.

  • Question 21
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    Sum of two digits of a number is 7. When 27 is subtracted from this number, its digits get interchanged. Which of the following are correct steps to find the number?

    I. Let tens digit be m.

    II. Then, ones digit = (7 - m)
    Number = 10 × m + (7 - m) = 9m + 7

    III. Subtracting 27 from the number, we get 9m - 20.

    IV. Number with its digits interchanged = 10 × (7 - m) + m

    V. 9m – 20 = 70 – 9m

    VI. Hence, the number = 52

  • Question 22
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    Select the incorrect statement:

    a. In an equation, whatever operation happens on the right side of equals sign also happens on the left side.
    b. If a number is subtracted from one side of the equation, the same number is subtracted from the other side as well.
    c. If one side of the equation is multiplied by a number, then the other side of the equation is multiplied by any other number.
    d. If a number is added to one side of the equation, then the same number is added to the other side as well.

  • Question 23
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    Directions: Read the following statements and choose the correct option with the help of the table given below.

    Sum of two numbers is 92. One number is thrice the other number.
    I. If the bigger number is d, then find the other number.
    II. Make an equation representing the given statement.
    III. Find the smaller number.

    Options I II III
    (A) 3d 3d + d = 92 21
    (B) d + = 92 23
    (C) 2d 2d + d = 92 28
    (D) d + = 92 28

  • Question 24
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    A shoe store has 48 pairs of shoes in black and brown colours only. Each black pair costs Rs. 1500 and each brown pair costs Rs. 1900. If the total earnings from the sale of all the pairs are Rs. 79,200, then

    I. form an equation representing the case
    II. find the number of pairs of black shoes
    III. find the number of pairs of brown shoes

  • Question 25
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    Match the following:

    Column - 1 Column - 2
    A) The sum of ages of 5 children born at regular intervals of 3 years is 50 years. What is the age of the youngest child of them? a) 10
    B) A is 2 years older than B, who is twice as old as C. If the total age of A, B and C is 27 years, then how old is B? b) 14
    C) Sachin is 4 years younger than Rahul. If their ages are in the respective ratio of 7 : 9, then how old is Sachin? c) 4

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