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NTSE Sample Paper NTSE SAT Practice Test-9

  • question_answer
    After distributing the sweets equally among 25 children, 8 sweets remain. Had the number of children been 28, 22 children would not have got sweets after equal distribution. What was the total number of sweets?

    A) 328                  

    B) 348

    C) 358   

    D) 378

    Correct Answer: C

    Solution :

    [c] Let the number of sweets distributed per child be x. The number of sweets \[=\left( 25x+8 \right)\]Now \[\left( 25x+8-22 \right)\]must be divisible by 28 for the least value of x. \[\Rightarrow 25x-14\text{ }or\text{ }\left[ 28x-\left( 3x+14 \right) \right]\]is divisible by 28 \[\Rightarrow 3x+14\]is divisible by 28 if \[x=14\]                           \[\therefore \] Number of sweets are \[25\times 14+8=358.\]


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