SSC CGL 12 June 2019 Shift-1

Instructions

For the following questions answer them individually

SSC CGL 12 June 2019 Shift-1 - Question 61


If $$\tan 4\theta = \cot(40^\circ - 2\theta), then  \theta$$ is equal to:

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SSC CGL 12 June 2019 Shift-1 - Question 62


A is 50% more efficient than B and C is 40% less efficient than B. Working together, they can complete a task in 20 days. In how many days will C alone complete 30% of that task ?

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SSC CGL 12 June 2019 Shift-1 - Question 63


A train without stoppage travels with an average speed of 80 km/h and with stoppage,it travels with an average speed of 64 km/h. For how many minutes does the train stop on an average per hour?

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SSC CGL 12 June 2019 Shift-1 - Question 64


The following table shows the percentage distribution of students in various disciplines from five different colleges.

The number of students from the discipline of Economics from college B is approximately what percentage of the number of students from the discipline of Science from the college C?

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SSC CGL 12 June 2019 Shift-1 - Question 65


The value of: $$\frac{\sin 44^\circ}{\cos 46^\circ} + \sin^2 60^\circ - \cos^2 45^\circ + \sec 60^\circ$$ is equal to:

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SSC CGL 12 June 2019 Shift-1 - Question 66


If $$\cos \theta = \frac{4}{5},  then  \sin^2 \theta \cos \theta + \cos^2 \theta \sin \theta$$ is equal to:

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SSC CGL 12 June 2019 Shift-1 - Question 67


If (a + b) = 6 and ab = 8, then $$(a^3 + b^3)$$ is equal to:

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SSC CGL 12 June 2019 Shift-1 - Question 68


Chords AB and CD of a circle intersect at a point P inside the circle. If AB = 10 cm, AP = 4 cm and PC = cm, then CD is equal to:

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SSC CGL 12 June 2019 Shift-1 - Question 69


The radii of the two circular faces of the frustum of a cone of height 21 cm are 5 cm and 3 cm. What is its volume in cm$$^3$$($$\pi = \frac{22}{7}$$)

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SSC CGL 12 June 2019 Shift-1 - Question 70


What is the value of x so that the seven digit number 91876x2 is divisible by 72?

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