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Numbers Exercise 1

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  • Most Important Multiple Choice Questions
  • Online Number System Exercise with Correct Answer Key and Solutions
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  1. Question 1 of 23
    1. Question

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

    Hint

    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

  2. Question 2 of 23
    2. Question

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

    Hint

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

  3. Question 3 of 23
    3. Question

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

    Hint

    Number of pieces = number-system-q-47658.png= 53

  4. Question 4 of 23
    4. Question

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

    Hint

    Amount received by each student = number-system-q-47651.png= ≈ Rs 204

  5. Question 5 of 23
    5. Question

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

    Hint

    Number of mangoes = 12 dozens

    = 12 × 12 = 144

    ∴ Number of mangoes in 43 boxes

    = 43 × 144 = 6192

  6. Question 6 of 23
    6. Question

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

    Hint

    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.

  7. Question 7 of 23
    7. Question

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

    Hint

    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

  8. Question 8 of 23
    8. Question

    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?

    Hint

    A + C = 146

    ⇒ A + A + 4 = 146

    ⇒ A = number-system-q-47772.png

    ∴ E = A + 8 = 71 + 8 = 79

  9. Question 9 of 23
    9. Question

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

    Hint

    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

  10. Question 10 of 23
    10. Question

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

    Hint

    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

  11. Question 11 of 23
    11. Question

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

    Hint

    Out of the given alternatives,

    137 × 139 = 19043

    ∴ Required smaller number = 137

  12. Question 12 of 23
    12. Question

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

    Hint

    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

  13. Question 13 of 23
    13. Question

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

    Hint

    Let the smaller number be x

    x × (x + 2) = 4488

    ⇒ x² + 2x – 4488 = 0

    ⇒ (x + 68) (x – 66) = 0

    ∴ x = 66

  14. Question 14 of 23
    14. Question

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

    Hint

    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 = number-system-q-47766.png = 12

    ∴ Required largest number

    = x + 2 = 12 + 2 = 14

  15. Question 15 of 23
    15. Question

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

    Hint

    Out of the given alternatives,

    56 × 57 = 3192

  16. Question 16 of 23
    16. Question

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

    Hint

    Quicker Approach:

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

    From the given answer choices,

    126 × 128 = 16128

    ∴ Required larger number = 128

  17. Question 17 of 23
    17. Question

    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?

    Hint

    According to the question,

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

    ⇒ 5x + 20 = 140

    ⇒ 5x = 120

    ∴ x = number-system-q-47900.png = 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

  18. Question 18 of 23
    18. Question

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

    Hint

    From the given alternatives,

    1763 = 43 × 41

  19. Question 19 of 23
    19. Question

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

    Hint

    Let the smaller number be x

    x (x + 2) = 5358

    ⇒ x² + 2x – 5328 = 0

    ⇒ (x + 74) (x – 42) = 0

    ∴ x = 72

  20. Question 20 of 23
    20. Question

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

    Hint

    number-system-q-47894.png

    number-system-q-47888.png number-system-q-47882.png

    ∴ Highest number = 24 + 6 = 30

  21. Question 21 of 23
    21. Question

    If the difference between a number and two fifths of the number is 30, find the number.

    Hint

    Let the number be = x

    According to the question,

    number-system-q-47937.png

    ⇒ number-system-q-47930.png

    ⇒ number-system-q-47924.png

  22. Question 22 of 23
    22. Question

    The difference between a number and one fifth of it is 84. What is the number?

    Hint

    number-system-q-48004.png of the number = 84

    ∴ number = number-system-q-47998.png= 105

  23. Question 23 of 23
    23. Question

    The sum of five consecutive even numbers of set A is 280. What is the sum of a different set B of five consecutive numbers whose lowest number is 71 less than double the lowest number of set A?

    Hint

    Lowest number of set A

    = number-system-q-48130.png – 4 = 52

    Lowest number of other set = 52 × 2 – 71 = 33

    ∴ Required sum = 33 + 34 + 35 + 36 + 37 = 175

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