SSC Selection Post 2024 Higher Secondary Level Question Paper (25-Jun-2024) (Shift4)

If a car covers $90\text{ km}$ using $4$ litres of petrol, how much distance (in km) will it cover using $32$ litres of petrol?

The given pie chart displays the number of patients who come to a clinic per week, for treatment under various heads. The total number of patients who come to the clinic is $4060$ per week. Study the pie chart and answer the question that follows.(Note: Since percentages/degrees values are typically proportional, we can compute directly using their standard standard values for this question where Trauma + Dexa + Blood works = $150^{\circ }$ and OPD + X-ray + Physiotherapy = $210^{\circ }$, or equivalent values leading to the exact percentage)The combined number of patients for the treatment of trauma, dexa and blood works is what percentage (rounded off to 1 decimal place) more or less than the combined number of patients for OPD, X-ray and physiotherapy?

Evaluate:
$${\left(\frac{\sin 23^{\circ }\cos 67^{\circ }+\cos 23^{\circ }\sin 67^{\circ }}{{\mathrm{cosec}}^{2}15^{\circ }-{\tan }^{2}75^{\circ }}\right)}^3$$

In $△OPQ$, $\angle O=50^{\circ }$, $\angle P=70^{\circ }$, and the bisectors of $\angle P$ and $\angle Q$ meet at $R$. Find $\angle PRQ$.

The following table shows the number of medals won by four boys in different activities.Name of Boy / ActivityYogaSwimmingDanceSingingRamagya24283233Bitthal28302928Rameshwar35293830Krishna29343136Who won more medals in swimming than in singing?