SSC CHSL 12th April 2021 Shift-2

Instructions

For the following questions answer them individually

Question 61

AB and AC are tangents to a circle with centre O from an extemal point A. The tangents AB and AC touch the cirele at B and C, respectively, such that $$\angle BAC = 118^{0}$$. Find the measure of $$\angle OCB$$.

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Question 62

Varun and Syan can do a work in 3 days, Syan and Anil can do it in 4 days. and Anil and Varun can do it in 6 days. How many days will Anil alone take to do the work?

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Question 63

What is the value of $$\sin^{2}60+\tan^{2}45+\sec^{2}45-cosec^{2}30$$ ?

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Question 64

Two trains start at the same time from two stations and proceed towards each other at speeds of 90 km/h and 70 km/h, respectively. When they meet, it is found that one train has travelled 140 km more than the other, What is the distance (in km) between the two stations?

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Question 65

What is the area (in m$$^2$$, up to 1 place of decimal) of an equilateral triangular field of sides 8.5 m?

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Question 66

A's salary increases in the ratio 8 : 11. If his new salary is ₹33,000, then what was his original salary (in ₹)?

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Question 67

Students of Primary, Middle, Secondary and Sr. Secondary classes collected donation for a Relief Fund as shown in the pie chart. If the donation collected from Middle classes was ₹6,750, then what would be the total amount of money collected by Secondary and Sr. Secondary classes?

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Question 68

The sum of two numbers is 59 and their product is 1150. Find the sum of their squares.

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Question 69

A shopkeeper sells two refrigerator sets at the same price. He gains 40% on one refrigerator and loses 40% on the other. What is his net loss percentage in the whole transaction?

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Question 70

If $$2 \tan x + 3 \cot x = 5$$, then the value of $$4 \tan^2 x + 9 \cot^2 x$$ is:

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