SSC CGL 13th August 2021 Shift-1


For the following questions answer them individually

Question 61

$$\frac{\cosec \theta}{\cosec \theta - 1} + \frac{\cosec \theta}{\cosec \theta + 1} - \tan^2 \theta, 0^\circ < \theta < 90^\circ$$, is equal to:

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Question 62

The income of A is 45% more than the incomeof B and the incomeof C is 60% less than the sum of the incomes of A and B. The income of D is 20%more than that of C. If the difference between the incomes of B and D is ₹13200, then the income (in ₹) of C is:

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Question 63

Length of eachside of a rhombusis 13 cm and oneof the diagonal is 24 cm. Whatis the area (in cm$$^2$$) of the rhombus?

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Question 64

Study the following table and answer the question:
Number of cars sold by dealers A, B, C, D & E during first six months of 2018.

In July 2018, if the sales of cars by the dealer D increases by the same percentage as in June 2018 over its previous month, then what is the number of cars sold by D in July 2018?

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Question 65

Sides AB and DCof a cyclic quadrilateral ABCD are produced to meetat E and sides AD and BC are produced to meet at F. If $$\angle ADC = 78^\circ$$ and $$\angle BEC = 52^\circ$$, then the measure of $$\angle AFB$$ is:

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Question 66

Study the table and answer the question.
In the table, production and sale (in 1000 tonnes) of a certain product of a company over 5 years is given.

In which year(s) sale is more than 90% of the production?

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Question 67

Find the value of $$\cot 25^\circ \cot 35^\circ \cot 45^\circ \cot 55^\circ \cot 65^\circ$$.

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Question 68

Some fiuits are boughtat 15 for ₹140 and an equal number of fruits at 10 for ₹120.If all the fruits are sold at ₹132 per dozen, then whatis the profit percent in the entire transaction?

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Question 69

What is the compound interest (in ₹) on a sum of 28192 for $$1\frac{1}{4}$$ years at 15% per annum, if interest is compounded 5- monthly?

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Question 70

To do a certain work, A and B work onalternate days with B beginning the work onthefirst day. A alone can complete the same work in 24 days.If the work gets completed in $$11\frac{1}{3}$$ days. then B alone can complete $$\frac{7}{9}th$$ part of the original work in:

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