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  • Question
  • After distributing the sweets equally among 25 children, 8 sweets remain. Had the number of children been 28, 22 sweets would have been left after equal distribution. What was the total number of sweets?


  • Options
  • A. 328
  • B. 348
  • C. 358
  • D. Data inadequate

  • Correct Answer
  • 358 

    Explanation
    Let the total number of sweets be (25x + 8).

    Then, (25x + 8) - 22 is divisible by 28

    ⟺ (25x - 14) is divisible by 28 ⟺ 28x - (3x + 14) is divisible by 28

    ⟺ (3x + 14) is divisible by 28 ⟺ x = 14.

    Therefore Total number of sweets = (25 x 14 + 8) = 358.


    More questions

    • 1. Find the odd one out:

    • Options
    • A. Rabbit
    • B. rat
    • C. mongoose
    • D. Squirrel
    • Discuss
    • 2. 
      NA

    • Options
    • A. Basket
    • B. Barrel
    • C. Bag
    • D. Barrow
    • Discuss
    • 3. 
      NA

    • Options
    • A. B-F
    • B. J-N
    • C. M-Q
    • D. T-U
    • Discuss
    • 4. 
      10 : 91 :: 9 :?

    • Options
    • A. 69
    • B. 72
    • C. 9
    • D. 97
    • Discuss
    • 5. 
      63 : 21 :: 27 :?

    • Options
    • A. 6
    • B. 9
    • C. 1
    • D. 3
    • Discuss
    • 6. 
      Who sits between G and D?

    • Options
    • A. H
    • B. D
    • C. F
    • D. E
    • Discuss
    • 7. Find the odd one out:

    • Options
    • A. 49
    • B. 36
    • C. 65
    • D. 100
    • Discuss
    • 8. 
      NA

    • Options
    • A. Ring
    • B. Tyre
    • C. Plate
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    • 9. 
      NA

    • Options
    • A. Huge
    • B. Tiny
    • C. Heavy
    • D. Small
    • Discuss
    • 10. 
      15/20 ÷ 4/5 x 2/3 x 8/5 =?

    • Options
    • A. 0
    • B. 1
    • C. 3
    • D. 5
    • Discuss


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