SSC CGL Tier-2 29th January 2022 Maths

Instructions

For the following questions answer them individually

Question 1

Study the given pie charts and answer the question that follows.

Total number of students appeared = 1200

Total number of students passed = 900
Which institute has the second highest percentage of students who passed to the students who appeared from that instinne?

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Question 2

The radius of a solid right circular cone is 36 cm and its height is 105 cm. The total surface area (in cm$$^2$$) of the cone is:

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Question 3

Study the given graph and answer the question that follows.


The total production of fertilisers by country Y in 2017 and 2019 and by country X in 2016 is what percentage of the total production of fertilisers by country Z in 2016. 2018 and 2020?

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Question 4

What is the difference (in ₹) between the interests on ₹50,000 for one year at 8% per annum
compounded half yearly and yearly?

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Question 5

In $$\triangle$$ABC , M is the midpoint of the side AB. N is a point in the iterior of $$\triangle$$ABC such that CN is the bisector of $$\angle$$C and CN $$\perp$$ NB . What is the length (in cm) of MN , if BC= 10 cm and AC= 15 cm?

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Question 6

If $$3\tan\theta=2\sqrt{3}\sin\theta$$, $$0^{\circ} <\theta <90^{\circ}$$, then the value of $$\frac{\csc^{2} 2\theta+\cot^{2} 2\theta}{\sin^{2}\theta+\tan^{2}2\theta}$$ is:

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Question 7

O is a point in the interior of $$\triangle$$ABC such that OA = 12 cm,OC = 9 cm,$$\angle$$AOB = $$\angle$$BOC = $$\angle$$COA and $$\angle$$ABC = 60°. What is the length (in cm) of OB?

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Question 8

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 if the article is sold at 80% of its original selling price?

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Question 9

The value of $$\frac{3\left(\cot^{2}47^{\circ} - \sec^{2}43^{\circ}\right) - 2\left(\tan^{2}23^{\circ} - \cosec^{2}67^{\circ}\right)}{\cosec^{2}\left(68^{\circ} + \theta\right) - \tan\left(\theta + 61^{\circ}\right) - \tan^{2}\left(22^{\circ} - \theta\right) + \cot\left(29^{\circ} - \theta\right)}$$ is:

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Question 10

When the price of an item was reduced by 20%, its sale increased by $$x$$% . If there is an increase of 25% in receipt of the revenue, then the value of $$x$$ is:

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