SSC CHSL 10th August 2021 Shift-1

Let O be the centre of a circle and AC be the diameter. BD is a chord intersecting AC at E. AD and AB are joined. If $$\angle BOC = 40^\circ$$ and $$\angle AOD = 120^\circ$$, then $$\angle BEC$$ is equal to:

The simple interest on a sum of ₹12,000 at the end of 5 years is ₹6,000. What would have been the compound interest on the same sum at the same rate for 3 years when compounded annually?

10 men or 15 women can complete a work in 30 days. In how many days can 15 men and 27 women complete the work?

A person saves 25% of his income.If his income increases by 20% and his saving remains the same, then what will be the increased percentage of his expenditure?

Study the given bar graph and answer the question that follows.
The bar graph shows the exports of cars of types A and B (in ₹ million).

What is the ratio of the total exports of cars of type A in 2016 and 2018 to the total exports of cars of type B in 2015 and 2017?

If $$x^6 - 6\sqrt{6}y^6 = (x^2 + Ay^2)(x^4 + Bx^2y^2 + Cy^4)$$, then what will be the value of $$(A^2 - B^2 + C^2)$$?

Students of Primary, Middle, Secondary and Sr. Secondary classes collected donation for a Relief Fund as shown in the given pie chart. If the donation collected from Middle classes was 26,750, then how much more money was collected by Middle classes as compared to Secondary classes?

For $$\theta : 0^\circ < \theta < 90^\circ$$
$$3 \sec \theta + 4 \cos \theta = 4\sqrt{3}$$, find the value of $$(1 - \sin \theta + \cos \theta)$$.

An article is sold at a certain price. If it is sold at $$33\frac{1}{3}\%$$ of this price, there is a loss of $$33\frac{1}{3}\%$$. What is the percentage profit or percentage loss when it is sold at 40% of the original selling price?

In triangle ABC. AD is the internal bisector of $$\angle A$$ meeting BC at D. If BD = 3.6 cm and BC = 8 cm, then the ratio of AB to AC will be: