SSC CGL 13th April 2022 Shift-3

A person travels 5$$x$$ distance at a speed of 5 km/h, $$x$$ distance at a speed of 5 km/h, and 4$$x$$ distance at a speed of 6 km/h, and takes a total of 112 minutes. What is the total distance (in km) travelled by the person?

Person A can do one-fifth of the work in 3 days, while B's efficiency is half of that of A. In how many days A and B working together can do half of the work?

Study the given histogram that shows the marks obtained by students in an examination and answer the question that follows.

The number of students who obtained less than 200 marks is what percentage less than the number of students who obtained 400 or more marks ( correct to one decimal place)?

If $$\sin^{2} \theta - \cos^{2} \theta - 3sin \theta + 2 = 0 , 0^{\circ} < 0 < 90^{\circ}$$, then what is the value of $$1 + sec \theta + tan \theta$$?

What is the value of p, if 25(3 + 4p) + 12 of 5 - 3 $$\times$$ 8 = 6?

Let $$x$$ $$cm^{2}$$ be the surface area and y $$cm^{3}$$ be the volume of a sphere such that y = 14$$x$$. What is the radius (in cm) of the sphere?

A shopkeeper bought 40 pieces of an article at a rate of ₹50 per item. He sold 35 pieces with 20% profit. The remaining 5 pieces were found to be damaged and he sold them with 10% loss. Find his overall profit percentage.

The curved surface area of a right circular cylinder is 616 $$cm^{2}$$ and the area of its base is 38.5 $$cm^{2}$$ . What is the volume (in $$cm^{3}$$ ) of the cylinder? (Take $$\pi = \frac{22}{7}$$).

The sides PQ and PR of $$\triangle$$ PQR are produced to points S and T, respectively. The bisectors of $$\angle$$ SQR and $$\angle$$ TRQ meet at point U. If $$\angle QUR = 69^{\circ}$$, then the measure of $$\angle$$ P is:

A, B and C start a business. A invests $$33\frac{1}{3}\%$$ of the total capital, B invests 25% of the remaining, and C invests the rest. If the total profit at the end of the year is ₹1,86,000, then A's share of the profit (in ₹) is: