SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-10

  • question_answer
    If the lengths of diagonal of a square and side of another square both are equal to 10 cm, then the areas of the first and the second squares are in the ratio:

    A) 1 : 2                             

    B) 1 : 3

    C) 1 : 4                             

    D) 2 : 3

    Correct Answer: A

    Solution :

    Diagonal of the 1st square = 10 cm Its side = \[\frac{10}{\sqrt{2}}=5\sqrt{2}cm\] Its area = \[{{\left( 5\sqrt{2} \right)}^{2}}=50\,c{{m}^{2}}\] Area of the another square =  \[{{10}^{2}}=100\,c{{m}^{2}}\] \[\therefore \]  Required ratio - 50: 100 = 1: 2


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