SSC CGL Tier-2 8th August 2022 Maths

Instructions

For the following questions answer them individually

Question 81

ABC is an isosceles right angle triangle. Angle ABC = 90 degree and AB = 12 cm. What is the ra tio of the radius of the circle inscribed in it to the radius of the circle circumscribing triangle ABC ?

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Question 82

A alone can do a work in 11 days. B alone can do the same work in 22 days. C alone can do the same work in 33 days.
They work in the following manner:
Day 1 : A and B work.
Day 2: B and C work.
Day 3: C and A work.
Day 4: A and B work. And so on.
In how many days will the work be completed?

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Question 83

What is the sum of all the common terms between the given series S1 and S2?
S1 = 2, 9, 16 ...... 632
S2 = 7, 11 15, ..... , 743

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Question 84

ABC is an equilateral triangle. If the area of the triangle is $$36\sqrt{3}$$ , then what is the radius of circle circumscribing the triangle ABC?

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Question 85

What is the value of $$\frac{3 \sin 58^\circ}{\cos 32^\circ} + \frac{3 \sin 42^\circ}{\cos 48^\circ}$$

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Question 86

What is the value of $$\frac{\cos 50^\circ}{\sin 40^\circ} + \frac{3 \cosec 80^\circ}{\sec 10^\circ} - 2 \cos 50^\circ.\cosec 40^\circ$$ ?

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Question 87

Which of the following is equal to $$\left[\frac{\tan \theta + \sec \theta - 1}{\tan \theta - \sec \theta + 1}\right]$$?

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Question 88

Two circles each of radius 36 cm are intersecting each other such that each circle is passing through the centre of the other circle. What is the length of common chord to the two circles?

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Question 89

The height of a cylinder is 45 cm. If circumference of its base is 132 cm, then what is the curved surface of this cylinder? ( use $$\pi = \frac{22}{7}$$)

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Question 90

The slant height ofa cone is 20 cm. If area of its base is 616 cm$$^2$$, then what is the cmv ed smface area of this cone? (use $$\pi = \frac{22}{7}$$)

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