SSC CHSL 13th April 2021 Shift-1

Instructions

For the following questions answer them individually

Question 51

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?

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Question 52

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:

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Question 53

$$\triangle PQR$$ 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 $$\angle TPS$$?

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Question 54

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

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Question 55

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?

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Question 56

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 $$\angle BAC$$?

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Question 57

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:

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Question 58

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?

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Question 59

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?

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Question 60

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

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