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Numbers Test 1
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Numbers Test 1
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  • Question 1/10
    1 / -0

    The sum of the squares of two consecutive even numbers is 6500. Which is the smaller number?

    Solutions

    Let the two numbers be x and (x + 2).

    Then, x² + (x + 2)² = 6500

    ⇒ x² + x² + 4x + 4 = 6500

    ⇒ 2x² + 4x – 6496 = 0

    ⇒ x² + 2x – 3248 = 0

    ⇒ x² + 58x – 56x – 3248 = 0

    ⇒ (x + 58) (x – 56) = 0

    ⇒ x = 56

  • Question 2/10
    1 / -0

    The product of two consecutive even numbers is 582168. Which is the smaller number?

    Solutions

    Let the numbers be x and (x + 2)

    Then, x × (x + 2) = 582168

    ⇒ x² + 2x – 582168 = 0

    ⇒ x² + 764x – 762x – 582168 = 0

    ⇒ (x + 764) (x – 762) = 0

    ⇒ x = 762

  • Question 3/10
    1 / -0

    A, B, C, D and E are five consecutive odd numbers The sum of A and C is 146. What is the value of E?

    Solutions

    A + C = 146

    ⇒ A + A + 4 = 146

    ⇒ A = 

    ∴ E = A + 8 = 71 + 8 = 79

  • Question 4/10
    1 / -0

    The cost of 3 chairs and 10 tables is Rs 9856. What is the cost of 6 chairs and 20 tables?

    Solutions

    Let the cost of one chair be Rs x and that of a table be = Rs y

    According to the question,

    3x + 10y = Rs 9856

    ⇒ 2 × (3x + 10y) = 2 × 9856

    ∴ 6x + 20y = Rs 19712

  • Question 5/10
    1 / -0

    A canteen requires 13 dozen bananas per day. How many bananas will it require for 9 weeks?

    Solutions

    Requirement of bananas for 1 day in the canteen = 13 dozens

    ∴ Requirement of bananas for 9 weeks i.e. 63 days

    = 63 × 13 dozens

    = 63 × 13 × 12 = 9828.

  • Question 6/10
    1 / -0

    There are 12 dozen mangoes in a box. If there are 43 such boxes, how many mangoes are there in all the boxes together?

    Solutions

    Number of mangoes = 12 dozens

    = 12 × 12 = 144

    ∴ Number of mangoes in 43 boxes

    = 43 × 144 = 6192

  • Question 7/10
    1 / -0

    If an amount of Rs 15,487 is divided equally among 76 students, approximately how much amount will each student get?

    Solutions

    Amount received by each student = = ≈ Rs 204

  • Question 8/10
    1 / -0

    How many pieces of 8.6 metres length cloth can be cut out of a length of 455.8 metres cloth?

    Solutions

    Number of pieces = = 53

  • Question 9/10
    1 / -0

    If an amount of Rs 41,910 is distributed equally amongst 22 persons, how much amount would each person get?

    Solutions

    Required amount = number-system-q-47664.png= Rs 1905

  • Question 10/10
    1 / -0

    A canteen requires 112 kgs of wheat for one week. How many kgs of wheat will it require for 69 days?

    Solutions

    Quantity of wheat for 7 days = 112 kg

    ∴ Quantity of wheat for 1 day = number-system-q-47676.png kg

    ∴ Quantity of wheat for 69 days = number-system-q-47670.png × 69 = 1104 kg

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