SSC CHSL 13th April 2021 Shift-1

Study the given graph and answer the question the follows.

What is the ratio of the total production of sugar in 2014 and 2018 to the total export in 2015 and 2019?

If $$\frac{\cosec \theta + \cot \theta}{\cosec \theta - \cot \theta} = 7$$, then the value of $$\frac{4 \sin^2 \theta + 5}{4 \sin^2 \theta - 1}$$ is:

$$\triangle PQR$$ is inscribed in a circle with center O. PO is produced to meet QR at U and the circle at S, and $$PT \perp QR$$, where T lies between Q and U. If $$\angle Q = 70^\circ$$ and $$\angle R = 55^\circ$$, then what is the measure (in degrees) of $$\angle TPS$$?

If $$a + b + c = 5$$ and $$a^3 + b^3 + c^3 - 3abc = 185$$, then the value of $$ab + bc + ca$$ lies between:

Rita spends 25% of her monthly income on house rent and 30% of the remaining incomeon food. If she saves ₹5,250, what is her monthly income?

AB and CD are two chordsofa circle which intersect at E inside the circle. If $$\angle BEC = 125^\circ$$ and $$\angle EBD = 28^\circ$$, then what is the measure of $$\angle BAC$$?

In $$\triangle ABC, DE \parallel AB$$, where D and E are points on sides AC and BC, respectively. F is a point between C and D such that $$EF \parallel BD$$ .If AD = 15cm, DC = 10cm, then thelength of CF is:

In a bag, white mobile covers and black mobile covers are in the ratio of 4 : 7. If there are 280 black mobile covers, then how many white mobile covers are there in the bag?

Study the given graph and answer the question that follows.
The bar graph shows the percentage distribution of total expenditure of a company under various expense heads during a year.

The total expenditure of the company in the year is how many times the expenditure on Research & Development?

If $$2x^2 - 6x = 1$$, then $$x^2 + \frac{1}{4x^2} = ?$$