SSC CGL Tier l 2023 Question Paper Shift 1 (July 24th)
For the following questions answer them individually
The value of $$\frac{p^{2} - (q - r)^{2}}{(p + r)^{2} - q^{2}} + \frac{q^{2} - (p - r)^{2}}{(p + q)^{2} - r^{2}} + \frac{r^{2} - (p - q)^{2}}{(q + r)^{2} - p^{2}} is$$ is:
A dealer marks his goods at 20% above the cost price and allows a discount of 15%.
What is his gain percentage?
A one metre pipe is made with inner diameter equal to outer radius. How much material (in cubic units) is required to make the pipe, if it can hold $$\frac{88}{7}$$ cubic metres water in it?
A boat can cover 120 km upstream and back in a total of 30 hours, and 25 km upstream and 40 km downstream in a total of 7 hours. How much distance will the boat cover in 16 hours in still water?
The ratio of the length to width of a certain rectangle is 3 : 2 and the area is 150 $$cm^{2}$$ .
The perimeter of the rectangle (in cm) is:
If $$2 \cot \theta = 3$$, then find the value of $$\frac{\sqrt{13} \sin \theta - 3 \tan \theta}{3 \tan \theta + \sqrt{13} \cos \theta}$$
The following pie chart represents the percentage distribution of girls in five girls' colleges A, B, C, D and E. The total number of girls in all the five colleges is 2,500.
What is the average number of girls in the colleges C and E?
Find the value of the given expression.
$$2 + \cos 49^{\circ} \cos 41^{\circ} - \sin 49^{\circ} \sin 41^{\circ}$$
During a school excursion each student of junior school was charged ₹325 and each student of senior school was charged ₹400. If there were 80 students from junior school and the combined average amount charged per student was ₹352, then how many students from senior school went for the excursion?
A thief is noticed by a policeman from a distance of 500 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 17 km/h and 20 km/h, respectively. What is the distance between them after 8 minutes?
