2017 SSC CGL 16 Aug Shift-1

Instructions

For the following questions answer them individually

2017 SSC CGL 16 Aug Shift-1 - Question 91


The point of intersection of all the angle bisector of a triangle is ______ of the triangle.

2017 SSC CGL 16 Aug Shift-1 - Question 92


ABC is an equilateral triangle and P is the orthocenter of the triangle, then what is the value (in degrees) of ∠BPC?

2017 SSC CGL 16 Aug Shift-1 - Question 93


In a triangle ABC, AD is angle bisector of ∠A and AB : AC = 3 : 4. If the area of triangle ABC is 350 cm2, then what is the area (in cm2: of triangle ABD?

2017 SSC CGL 16 Aug Shift-1 - Question 94


A boat is sailing towards a lighthouse of height 20√3 m at a certain speed. The angle of elevation of the top of the lighthouse changes from 30° to 60° in 10 seconds. What is the time taken (in seconds) by the boat to reach the lighthouse from its initial position?

2017 SSC CGL 16 Aug Shift-1 - Question 95


What is the value of [sec θ/(sec θ - 1)] + [sec θ/(sec θ + 1)] ?

2017 SSC CGL 16 Aug Shift-1 - Question 96


If $$\cosec\theta = \dfrac{1}{4x} + x$$ ,then what is the value of $$\cosec\theta + \cot\theta$$. 

Instructions

The pie chart given below shows the runs scored by Pujara against team of different countries. 

2017 SSC CGL 16 Aug Shift-1 - Question 97


The runs scored by Pujara against South Africa is more than runs scored against Bangladesh by what percentage?

2017 SSC CGL 16 Aug Shift-1 - Question 98


If Pujara has scored 1875 runs in total, then what is the difference in runs scored by Pujara against South Africa and New Zealand?

2017 SSC CGL 16 Aug Shift-1 - Question 99


What is the sectorial angle (in degrees) made by the runs scored against Australia in the given pie chart?

2017 SSC CGL 16 Aug Shift-1 - Question 100


What should be the least number of runs that Pujara must have scored in total (runs can only be integers)?

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