SSC CGL Tier-2 8th August 2022 Maths

Instructions

For the following questions answer them individually

Question 1

What is the value of $$3 \sin^2 30^\circ + \frac{3}{5} \cos^2 60^\circ - 2 \sec^2 45^\circ$$?

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Question 2

An article is sold at 25 percent loss. If its cost price is doubled and selling price is increased by ₹ 660, then there is a profit of 20 percent. What is the original cost price of the article?

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Question 3

Sum ₹ 20000 and ₹ 40000 are given on simple interest at the rate of 10 percent and 15 percent per annum respectively for three years. What will be the total simple interest?

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Question 4

The bar chart given below shows the discount percentage offered by a shopkeeper on seven articles. Selling price of these seven articles : A1, A2, A3, A4, A5, A6 and A7 is Rs. ₹ 420, ₹ 600, ₹ 816, ₹ 825, ₹ 425, ₹ 800 and ₹ 840.

Selling price - Marked price $$\left[1 - \frac{Discount \ percent}{100}\right]$$
What is the sum of the marked price of these seven articles?

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Question 5

How many composite numbers are there from 53 to 97?

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Question 6

What is the value of $$99\frac{11}{99}+99\frac{13}{99}+99\frac{15}{99}+......+99\frac{67}{99}$$?

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Question 7

Which fraction among the following is the least?
$$\frac{5}{11}, \frac{7}{12}, \frac{8}{13}, \frac{9}{17}$$

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Question 8

The graph of the equation $$x = a (a \neq 0)$$ is a ______________.

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Question 9

The radius of a solid sphere is 42 cm. It is melted to form identical small solid spheres whose radius is 7 cm. What is the number of small solid spheres obtained?

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Question 10

The pie chart given below shows the number of males in 6 departments. Number of males in a particular department are shown in the terms of degrees with respect to the total number of males in all the 6 departments. Number of males in department S are 1080.

J = Total number of males in T and P
K = Difference between the number of males in P and Q
What is the value of J + K?

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