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Numbers Test 2
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Numbers Test 2
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  • Question 1/10
    1 / -0

    The average of four consecutive even numbers is 27. What is the highest number?

    Solutions

     

    ∴ Highest number = 24 + 6 = 30

  • Question 2/10
    1 / -0

    The product of two consecutive even numbers is 5328. What is the smaller number?

    Solutions

    Let the smaller number be x

    x (x + 2) = 5358

    ⇒ x² + 2x – 5328 = 0

    ⇒ (x + 74) (x – 42) = 0

    ∴ x = 72

  • Question 3/10
    1 / -0

    The product of two consecutive odd numbers is 1763. What is the larger number?

    Solutions

    From the given alternatives,

    1763 = 43 × 41

  • Question 4/10
    1 / -0

    The sum of a set of five consecutive even numbers is 140. What is the sum of the next set of five consecutive even numbers?

    Solutions

    According to the question,

    x + x + 2 + x + 4 + x + 6 + x + 8 = 140

    ⇒ 5x + 20 = 140

    ⇒ 5x = 120

    ∴ x =  = 24

    ∴ x + 8 = 24 + 8 = 32

    The next set of five consecutive even number will start with = 34

    ∴ Required sum

    = 34 + 36 + 38 + 40 + 42 = 190

  • Question 5/10
    1 / -0

    The product of two consecutive even numbers is 16128. Which is the larger number?

    Solutions

    Quicker Approach:

    The unit’s digit of the number 16128 is 8.

    From the given answer choices,

    126 × 128 = 16128

    ∴ Required larger number = 128

  • Question 6/10
    1 / -0

    The product of two successive numbers is 3192. What is the smaller number?

    Solutions

    Out of the given alternatives,

    56 × 57 = 3192

  • Question 7/10
    1 / -0

    The sum of three consecutive integers is 39. Which of the following is the largest among the three?

    Solutions

    Let the three consecutive integers be

    x, x + 1 and x + 2

    According to the question,

    x + x + 1 + x + 2 = 39

    ⇒ 3x + 3 = 39

    ⇒ 3x = 39 – 3 = 36

    ⇒ x =  = 12

    ∴ Required largest number

    = x + 2 = 12 + 2 = 14

  • Question 8/10
    1 / -0

    The product of two consecutive even numbers is 4488. Which is the smaller number?

    Solutions

    Let the smaller number be x

    x × (x + 2) = 4488

    ⇒ x² + 2x – 4488 = 0

    ⇒ (x + 68) (x – 66) = 0

    ∴ x = 66

  • Question 9/10
    1 / -0

    The product of two successive numbers is 8556. What is the smaller number?

    Solutions

    Let the number be x and (x + 1).

    ∴ x(x + 1) = 8556

    ⇒ x² + x – 8556 = 0

    ⇒ x² + 93x – 92 x – 8556 = 0

    ⇒ (x² + 93) (x – 92) = 0

    ∴ x = 92

  • Question 10/10
    1 / -0

    The product of two consecutive odd numbers is 19043. Which is the smaller number?

    Solutions

    Out of the given alternatives,

    137 × 139 = 19043

    ∴ Required smaller number = 137

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