SSC CGL 16th August 2021 Shift-1


For the following questions answer them individually

Question 51

The income of A is 30% less than the income of B and the income of B is 137.5% more than that of C. If the income of A is ₹28500 less than that of B, then the income (in ₹) of C is:

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Question 52

In $$\triangle ABC, \angle A= 90^\circ, AD \perp BC$$ at D. If AB = 12 cm and AC = 16 cm, then what is the length(in cm) of BD?

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Question 53

Ratio of the present age of a motherto that of the daughteris 7 : 1. After 5 years the ratio will become 4 : 1. What is the difference (in years) in their present ages?

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Question 54

$$1 + 2 \tan^2 \theta + 2 \sin \theta \sec^2 \theta, 0^\circ < \theta < 90^\circ$$, is equal to:

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Question 55

Table shows the number of trees planted in 4 cities from 2016 to 2020.

From 2016 to 2020, how many more trees were planted in Ahmedabad as compared to trees planted in Pune?

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Question 56

Angle between the internal bisectors of two angles $$\angle B$$ and $$\angle C$$ of a $$\triangle ABC$$, is $$132^\circ$$, then the value of $$\angle A$$ is:

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Question 57

Study the following table and answer the question:
Number of students enrolled for Vocational Courses (VC) in five institutes - A, B, C, D & E.

The ratio of the total number of students enrolled for VC in institutes A, C and E in 2016 to the total number of students enrolled in institutes B and D in 2018, is

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Question 58

A train mans first 75 km at a certain uniform speed and next 90 km at an average speed of 10 km/h more than the normal speed. If it takes 3 hours to complete the journey, then how much timewill the train take to cover 300 km with normal speed?

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Question 59

$$x + y + z = 2$$ and $$xy + yz + zx = -11$$, then the value of $$x^3 + y^3 + z^3 - 3xyz$$ is:

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Question 60

The selling price of an article marked for ₹10000 after giving three discounts, 20%, 10% and k% is ₹6120. What will be selling price (in ₹) of the samearticle if a single discountof (k + 20)% is allowed?

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