SSC Selection Post 2020 Higher Secondary Level Question Paper (06 Nov, 2020) (Shift 3)

Directions: The following pie charts represent the distribution of candidates who were enrolled for an entrance examination and the candidates (out of those enrolled) who passed the examination in different institutes ($P,Q,R,S,T,V,X$). Total Enrolled Candidates = $12000$ Percentage Distribution of Enrolled Candidates:$P=22\%$$Q=15\%$$R=10\%$$S=17\%$$T=8\%$$V=12\%$$X=16\%$ Total Passed Candidates = $8000$ Percentage Distribution of Passed Candidates:$P=18\%$$Q=17\%$$R=13\%$$S=16\%$$T=9\%$$V=14\%$$X=13\%$ Study the charts and answer the question that follows. The number of candidates who passed from institutes $P$ and $Q$ together exceeds the number of candidates who enrolled from institutes $T$ and $R$ together by:

On selling a television at a $6\%$ profit and a fridge at a $9\%$ profit, a shopkeeper gains $\text{Rs. }5,100$. However, if the shopkeeper sells the television at a $9\%$ profit and the fridge at a $6\%$ loss, he gains $\text{Rs. }1,800$ on the whole transaction. The cost price (in $\text{Rs.}$) of the fridge is:

In $\Delta ABC$, $BD\perp AC$ at $D$. $E$ is a point on $BC$ such that $\angle BEA=x^{\circ }$. If $\angle EAC=36^{\circ }$ and $\angle EBD=40^{\circ }$, then the value of $x$ is:

A $540\text{ m}$ long train, running at a uniform speed, crosses a platform in $55\text{ seconds}$ and crosses a man standing on the platform in $36\text{ seconds}$. What is the length of the platform?

The average of $n$ observations is $40$. If two observations $50$ and $60$ are added, then the average of all the observations will be $41$. What is the value of $n$?