SSC CGL 12 June 2019 Shift-2

Instructions

For the following questions answer them individually

Question 51

In $$\triangle$$ABC,P is a point on BC such that BP : PC = 3 : 4 and Q is the midpoint of AP. Then ar($$\triangle$$ABQ): ar($$\triangle$$ABC) is equal to:

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Question 52

The radii of two bases of a frustum of height 10.5 cm is 5 cm and 3 cm. What is its volume in cm$$^3$$($$\pi = \frac{22}{7}$$)?

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Question 53

Table shows the production of rice (in million tonnes) of three states over six years.

What is the average production of rice in state A over the years (in million tonnes)?

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Question 54

Two articles are sold for ₹ 4880, on one, the seller gained 22% and on the other, he lost 20%. What is his overall gain or loss percentage, nearest to one decimal place?

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Question 55

Ina class of 60 students, 40% are girls. The average weight of the whole class is 59.2 kg and the average weight of the girls is 55 kg. What is the average weight of the boys?

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Question 56

In a circle of radius 13 cm, a chord is at a distance of 5cm from its center. What is the length of the chord?

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Question 57

The efficiencies of A, B and C are in the ratio of 2 : 3: 5. Working together, they can complete a task in 6 days. In how many days will A alone complete 20% of that task?

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Question 58

If $$3 \sin \theta = 4 \cos \theta,  then  \tan^2 \theta + \sin \theta - \cos \theta$$ is equal to:

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Question 59

If $$\sqrt x + \frac{1}{\sqrt x} = 2\sqrt2,  then  x^2 + \frac{1}{x^2}$$ is equal to:

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Question 60

What is the value of x so that the seven digit number 6913 x 08 is divisible by 88?

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