2017 SSC CGL 21 Aug Shift-3

Instructions

For the following questions answer them individually

Question 41

What are the co-ordinates of the centroid of a triangle, whose vertices are A(2 , 5), B(-4 , 0) and C(5 , 4)?

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Question 42

Slope of the line AB is -2/3. Co-ordinates of points A and B are (x , -3) and (5 , 2) respectively. What is the value of x?

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Question 43

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3, what is the ratio of area of ΔADE and area of quadrilateral BDEC?

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Question 44

What is the value of Cot 60°- Cos 45° ?

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Question 45

∆ PQR is right angled at Q. If m∠R = 60°, what is the length of PR (in cm), if RQ = 4√3 cm?

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Question 46

If Tan θ = 9/40, then Sec θ = ?

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Instructions

There are six taxi companies (A, B, C, D, E, F) in a certain city. The bar graph shows the number of taxis run by each of these six companies. Study the diagram and answer the following questions. 

Question 47

Which taxi company has more taxis than A but less than D?

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Question 48

If 30 taxis quit company B and joined company D then D will have how many more taxis than C?

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Question 49

Even if A and C decide to merge, still D will have how many more taxis (in %) than the merged A and C entity?

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Question 50

If each taxi on an average runs 100 kms every day and if fuel cost is Rs 3 per km, then all these taxis spend how much (in Rs.) on fuel every day?

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