2. Sample Papers
  3. SSC

SSC Sample Paper Mock Test-7 SSC CGL Tear-II Paper-1

  • question_answer
    The sum of the squares of two positive integers 100 and the difference of their squares is 28. The sum of the numbers is

    A)  12

    B)  13

    C)  14

    D)  15

    Correct Answer: C

    Solution :

    Let the numbers be x and y. Then,    \[{{x}^{2}}+{{y}^{2}}=100\] \[{{x}^{2}}-{{y}^{2}}=28\] On adding,         \[2{{x}^{2}}=128\] \[\Rightarrow \]               \[{{x}^{2}}=64\] \[\Rightarrow \]               \[x=8\] From Eq. (i), \[64+{{y}^{2}}=100\] \[\Rightarrow \]   \[{{y}^{2}}=36\] \[\Rightarrow \]   \[y=6\] \[\therefore \] Required sum \[=8+6=14\]


You need to login to perform this action.
You will be redirected in 3 sec spinner