SSC Selection Post 2023 Higher Secondary Level Question Paper (30..

The value of $\csc 41^{\circ }-\sec 49^{\circ }$ is:

For what value of $p$ does the system of equations $18x+36y+45=0$ and $px-54y+67=0$ have no solution?

Victoria purchased items that had a combined marked price of \ 400,000$.Shewasofferedadiscountof$ 10\%$ifshepaidcash,oradiscountof$ 5\%$withanadditionalcreditcardsurchargeof$ 2\%$onthefinaldiscountedamountifshepaidviacreditcard.IfVictoriamadeacashpaymentof$ \$228,000$ and paid the remaining balance via credit card, how much did she pay via credit card including surcharges?

Two numbers are in the ratio of $7:6$. If the difference between their squares is $637$, then the numbers are:

Two triangles $PRS$ and $DEF$ are similar whose perimeters are $36\text{cm}$ and $40\text{cm}$, respectively. If the length of $DE$ is $10\text{cm}$, then what is the length (in $\text{cm}$) of $PR$?