Instructions

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 â‚¹28500 less than that of B, then the income (in â‚¹) of C is:

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?

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?

Question 54

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

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?

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:

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

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?

Question 59

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

Question 60

The selling price of an article marked for â‚¹10000 after giving three discounts, 20%, 10% and k% is â‚¹6120. What will be selling price (in â‚¹) of the samearticle if a single discountof (k + 20)% is allowed?

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