SSC CGL 20th August 2021 Shift-3

Instructions

For the following questions answer them individually

Question 51

AB is a chord of a circle with centre O and P is any point on the circle. If $$\angle APB = 122^\circ$$, then what is the measure of $$\angle OAB$$?

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Question 52

In triangle PQR, points E and F are on sides PQ and PR respectively such that EF is parallel to QR. If PE = 2 cm and EQ = 3 cm, then area($$\triangle$$ PQR) : area($$\triangle$$ PEF) is equal to:

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Question 53

The average weight of a certain number of students in a class is 55.5 kg. If 4 students with average weight 60 kg join the class, then the average weight of all students in the class increases by 360 g. The number of students in the class, initially, is:

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Question 54

The area of a triangular plot having sides 12 m, 35 m and 37 m is equal to the area of a rectangular field whose sides are in the ratio 7 : 3. The perimeter (in m) of the field is:

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Question 55

Two circles of radius 15 cm and 37 cm intersect each other at the points A and B. If the length of common chord is 24 cm, what is the distance (in cm) between the centres of the circles?

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Question 56

If $$x - y = 4$$ and $$x^3 - y^3 = 316, y > 0$$ then the value of $$x^4 - y^4$$ is:

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Question 57

The number 823p2q is exactly divisible by 7, 11 and 13. What is the value of (p - q)?

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Question 58

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

In which year(s) sale is 80% or more but less than 90% of the production?

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Question 59

The value of $$\frac{\tan13^{\circ}\tan36^{\circ}\tan45^{\circ}\tan54^{\circ}\tan77^{\circ}}{2\sec^260^{\circ}(\sin^260^{\circ}-3\cos60^{\circ}+2)}$$ is:

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Question 60

Study the following table and answer the question:
Percentage of marks obtained by six students A, B, C, D, E and in five subjects.

What are the average marks of students B, C, D and F in Math?

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