SSC CGL Tier-2 12th September 2019 Maths

Instructions

For the following questions answer them individually

Question 41

The sum of the interior angles of a regular polygonis $$1260^\circ$$, What is the difference between an exterior angle and an interior angle of the polygon?

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Question 42

In circle with centre O. AC and BD are two chords. AC and BD meet at E when produced. If AB is the diameter and  $$\angle$$ AEB=$$68^\circ$$, then the measure of $$\angle$$ DOC is

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Question 43

In $$\triangle ABC$$, the perpendiculars drawn from $$A, B$$ and $$C$$ meet the opposite sides at $$D, E$$ and $$F$$, respectively. $$AD, BE$$ and $$CF$$ intersect at point $$P$$. If $$\angle EPD = 116^\circ$$ and the bisectors of $$\angle A$$ and $$\angle B$$ meet at $$Q$$, then the measure of $$\angle AQB$$ is:

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Question 44

The perimeters of two similar triangles ABC and PQRare 78 cm and 46.8 cm, respectively. If PQ = 11.7, then the length of AB is:

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Question 45

If the diameter of the base of a right circular cylinder is reduced by $$33\frac{1}{3}\%$$ and its height is doubled, then the volume of the cylinder will:

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Question 46

A rightcircular solid cone of radius 3.2 cm and height 7.2 cm is melted and recastinto a right circular cylinder of height 9.6 cm. What is the diameter of the base of the cylinder?

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Question 47

40 litres of 60% concentration of acid solution is added to 35 litres of 80% concentration of acid solution. What is the concentration of acid in the new solution?

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Question 48

In $$\triangle PQR$$, $$I$$ is the incentre of the triangle. If $$\angle QIR = 107^\circ$$, then what is the measure of $$\angle P$$?

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Question 49

If $$x^4 - 83 x^2 + 1 = 0,$$ then a value of $$x^3 - x^{-3}$$ can be:

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Question 50

Sujata marks an article 36% above the cost price and allows a 40% discount on the marked price. The loss percentage is:

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