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Simple Equations Test - 7

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Simple Equations Test - 7
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  • Question 1
    1 / -0

    Which of the following equation has solution as x = 5?

    Solution

    (1) 4x + 10 = 30
    4x = 20
    x = 5

    (2) 21x + 6 = 30
    21x = 24
    x = 8/7

    (3) 10x + 8 = 32
    10x = 24
    x = 12/5

    (4) 9x + 12 = 48
    9x = 36
    x = 4

     

  • Question 2
    1 / -0

    Riya's uncle is 5 years older than three times the age of Riya. If age of Riya's uncle is 52 years and riya's age is x yrs. Form an equation to find Riya's age.

    Solution

    We know that
    Riya's age = x yrs
    and Riya's Uncle age = 52 yrs
    Age of Riya's uncle = (5 + 3x) years
    According to the question:
    3x + 5 = 52

     

  • Question 3
    1 / -0

    Rohan is a truck driver and works with a logistic company. He is transporting mangoes in two types of boxes, one small and one large. Each large box contains 20 small boxes plus 7 loose mangoes. If the number of mangoes in 1 large box is 67 and number of mangoes in each small box is x, then form an equation which shows the number of mangoes in each small box.

    Solution

    The number of mangoes in each small box = x
    Number of small boxes in a large box = 20
    According to the question,
    20x + 7 = 67

     

  • Question 4
    1 / -0

    There are some boys and girls standing in a line. The number of girls is 5 less than five times the number of boys in a line. What is the number of boys if the total number of girls is 75?

    Solution

    Let the number of boys in the line be x.
    According to the question,
    5x – 5 = 75
    5x = 80
    x = 16

     

  • Question 5
    1 / -0

    There are 60 candidates who appeared for a test. The highest marks scored by a candidate is 6 times the lowest marks plus 12. The candidate who scored the highest got 126 marks and who scored the lowest is p. Form an equation which will help in calculating the lowest marks.

    Solution

    We know that
    Lowest marks scored by a candidate = p
    Highest marks scored by a candidate = 126
    According to the question,
    6p + 12 = 126

     

  • Question 6
    1 / -0

    Select the INCORRECT statement.

    Solution

    Statement (1) is incorrect because 'y exceeds 4 by 8' can be represented as y - 4 = 8.
    The given statement means y is 8 more than 4.
    So, the equation is: y - 8 = 4
    We can also write it as: y - 4 = 8.

     

  • Question 7
    1 / -0

    Directions For Questions

    Choose the correct answers from the table and mark the correct option accordingly.

    ...view full instructions

    There are 60 children who all have gathered in a hall. These children have some money with them. Each girl has Rs. 25 and each boy has Rs. 40. If the total amount of money with these 60 children is Rs. 1950 and number of boys is x, then

    (i) the equation formed is _______.
    (ii) the number of boys is _______.
    (iii) the number of girls is _______.
     

      (i) (ii) (iii)
    A. 40x + 25(x - 60) = 1950 40 30
    B. 40x + 25(60 - x) = 1950 30 20
    C. 40x + 25(x - 60) = 1950 40 20
    D. 40x + 25(60 - x) = 1950 30 30
    Solution

    Number of boys = x
    Then, number of girls = 60 - x
    According to the question,
    40x + 25 (60 - x) = 1950
    40x + 1500 – 25x = 1950
    15x = 450
    x = 30
    Number of boys = 30
    So, number of girls = 60 - 30 = 30

     

  • Question 8
    1 / -0

    Match the following:

    Column - I Column - II
    P. The age of Rahul's mother is 8 years more than 3 times the age of Rahul. If the age of Rahul's mother is 56, the Rahul's age is (i) 10
    Q. Riya has 12 more pens than 6 times the number of pens that Piya has. Riya has 84 pens. The number of pens with Piya is (ii) 12
    R. Arun and Rohan started collecting different coins for there collection. Arun has 24 more coins than 4 times the number of coins with Rohan. Arun has 64 coins. The number of coins with Rohan is (iii) 16

     

      P Q R
    A (i) (ii) (iii)
    B (i) (iii) (ii)
    C (iii) (ii) (i)
    D (iii) (i) (ii)
    Solution

    (P)
    Let Rahul's age be x.
    So, Rahul's mother age = 8 + 3x
    According to the question,
    8 + 3x = 56
    3x = 48
    x = 16

    (Q)
    Let the number of pens with Piya be x.
    So, number of pens with Riya = 12 + 6x
    According to the question,
    12 + 6x = 84
    6x = 72
    x = 12

    (R)
    Let the number of coins that with Rohan be x.
    So, number of coins with Arun = 24 + 4x
    According to the question,
    24 + 4x = 64
    4x = 40
    x = 10

     

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