SSC CHSL 1 July 2019 Shift-3

A and B can complete a task in 25 days. B alone can complete $$33 \frac{1}{3}$$% of the same task in 15 days. In how many days can A alone complete $$\frac{4}{15}{th}$$ of the same task?

A man travels a certain distance at 12 km/h and returns to the starting point at 9 km/h. The total time taken by him for the entire journey is $$2 \frac{1}{3}$$ hours. The total distance (in km) covered by him is:

$$\frac{\cot \theta}{(1 - \sin \theta)(\sec \theta + \tan \theta)}$$ is equal to:

If x + y = 7 and xy = 10, then the value of $$\left(\frac{1}{x^3} + \frac{1}{y^3}\right)$$ is:

The marked price of an article is ₹600. After allowing a discount of 25% on the marked price, there was a loss of ₹30. The loss percentage is:

There are three numbers. If the average of any two of them is added to the third number, the sums obtained are 177, 163 and 138. Whatis the average of the largest and the smallest of the given numbers?

A man spends 72% of his income.If his income increases by 28% and his expenditure increases by 25%, then what is the percentage increase or decrease in his savings (correct to one decimal place)?

Ina circle with centre O, AD is a diameter and ACis a chord. B is a point on AC, such that OB = 5 cm and $$\angle$$OBA = $$60^\circ$$ If $$\angle$$DOC = $$60^\circ$$, then what is the length of BC ?

The value of $$\frac{3}{4} \div \frac{3}{4}  of  \frac{3}{4} \times \frac{4}{3} + \frac{5}{2} \div \frac{2}{5}  of  \frac{5}{4} - \left(\frac{2}{3} + \frac{2}{3}  of  \frac{5}{6}\right)$$ is:

In $$\triangle$$ABC,D is a point on side AB such that BD = 2 cm and DA = 3 cm. E is a point on BC such that DE $$\parallel$$ AC, and AC = 4 cm. Then (Area of A BDE) : (Area of trapezium ACED) is: