SSC CHSL 8 July 2019 Shift-1

A dealer buys an article marked at ₹20000 with two successive discounts of 20% and 5%. He spends ₹1000 for its repair and sells it for ₹20000. What is his profit /loss percent (correct to two decimal places)?

A and B can complete a piece of work in 15 days and 10 days respectively. They got a contract to complete the work for ₹35000. The share of A (in ₹) in the contracted money will be:

The sum of salaries of A and B is ₹43000. A spends 95% of his salary and B spends 80% of his salary. If their savings are the same, whatis A’s salary (in ₹)?

The chord of the contact of tangents drawn from point on the circle $$x^2 + y^2 = a^2$$ to the circle $$x^2 + y^2 = b^2$$ touches the circle $$x^2 + y^2 = c^2$$ such that $$b^p = a^m c^n$$ where $$m, n, p \in N$$, and m, n, p are prime to each other, then the value of 2m + n + 2p - 3 is:

If $$2(\cosec^2 39^\circ - \tan^2 51^\circ) - \frac{2}{3} \sin 90^\circ - \tan^2 56^\circ y \tan^2 34^\circ = \frac{y}{3}$$, then the value of $$y$$ is:

In triangle ABC, the length of BC is less than twice the length of AB by 3 cm. The length of the AC exceeds the length of AB by 1 cm. The perimeter of the triangle is 34 cm. The length (in cm) of the smallest side of the triangle is:

Two students, A and B, appeared for an examination. A secured 8 marks more than B and the marks of the former was 55% of the sum of their marks. The sum of the marks obtained by A and B is:

The simplified value of $$\frac{\left(3\frac{1}{5} + \frac{3}{5}\right) \div \frac{8}{5}}{1\frac{1}{7} \div \left\{\frac{5}{7} + \left(\frac{1}{7} \div \frac{1}{3}\right)\right\}}$$ is:

The ratio between the speeds of two trains is 2 : 5. If the first train covers 350 km in 5 hours, then the speed (in km/h) of the second train is:

In which year, the absolute difference between the numbers of students in two schools is the highest ?