SSC CHSL 11th August 2021 Shift-3

Instructions

For the following questions answer them individually

Question 51

In $$\triangle ABC$$, P and Q are the mid-points of the sides AB and AC, respectively. R is a point on the segment PQ such that PR : RQ = 1 : 3. If PR = 4 cm, then BC is equal to:

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Question 52

The value of $$\frac{\cos^2 89^\circ + \cos^2 1^\circ}{\cos 30^\circ \sin 90^\circ - \sin 30^\circ \cos 90^\circ}$$ is:

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Question 53

Study the given graph and answer the question that follows.
The chart represents the demand and production of leather bags by five companies U, V, X, Y and Z.

The difference between the average demand and average production of the five companies taken together is:

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Question 54

The largest six-digit number exactly divisible by 243 is:

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Question 55

Study the given graph and answer the question that follows.
The chart represents the demand and production of leather bags by five companies U, V, X, Y and Z.


If h% of the demand of leather bags for company X equals the demand of the leather bags for company V, then h equals:

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Question 56

A sum of ₹9,400 is divided between A, B and C such that the ratio of the shares of A and B is 4 : 3 and that of B and C is 5 : 4. What is the share of C?

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Question 57

If x = 555, y = 556 and z = 557, then find the value of $$x^3 + y^3 + z^3 - 3xyz$$.

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Question 58

The average age of 35 persons is 40 years. 5 new persons with an average age of 35 years joined them. The average age of all the persons is:

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Question 59

The area of the largest triangle that can be inscribed in a semi-circle of radius 6 cm is:

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Question 60

If $$6 \tan^2 \alpha - 2 = 0, (0 < \alpha < 90^\circ)$$, then the value of $$\alpha$$ is:

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