SSC CGL 19th April 2022 Shift-1

Instructions

For the following questions answer them individually

Question 61

In the following figure, MN is a tangent to a circle with centre O at point A. If BC is a diameter and $$\angle ABC = 42^{\circ}$$, then find the measure of $$\angle$$ MAB.

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Question 62

Of the three numbers, second is one-third of first and is also three-fourth of the third number. If the average of three numbers is 112, then what is the smallest number?

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Question 63

If each of the two numbers $$5^{16}$$ and $$5^{25}$$ are divided by 6, the remainders are $$R_{1}$$ and $$R_{2}$$, respectively. What is the value of $$\frac{R_{1}+R_{2}}{R_{2}}$$?

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Question 64

If $$A = 60^{\circ}$$, ·what is the value of:
$$\frac{10\sin \frac{A}{2}+8\cos A}{7\sin \frac{3A}{2}-12\cos A}$$?

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Question 65

If $$x + y + z = 7, xy + yz + zx = 8$$, then what is the value of $$x^{3} + y^{3} + z^{3} - 3xyz$$?

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Question 66

The value of $$\frac{\left[\frac{3}{8}-\left\{\frac{3}{8}-\left(\frac{5}{8}-\frac{3}{8}\right)\right\}\right] of 4.8-0.9}{4\frac{1}{6}\div2.5\times0.2\div\frac{1}{5} of 50+\left(\frac{3}{4}-\frac{1}{8}\right)}$$ is:

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Question 67

Let $$\triangle ABC - \triangle$$ QPR and (Area of $$\triangle$$ ABC) : (Area of $$\triangle$$ PQR) = 121 : 64. If QP = 14.4 cm, PR = 12 cm and AC = 18 cm, then what is the length of AB?

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Question 68

In a $$\triangle$$ ABC, D, E and Fare the mid-points of side BC, CA and AB respectively. If BC = 14.4 cm, CA = 15.2 cm and AB= 12.4 cm, what is the perimeter (in cm) of the $$\triangle$$ DEF?

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Question 69

A vegetable vendor supplies vegetables to a housing complex of 50 families. On a particular day, the break-up sale of vegetables is represented in the form of a pie chart as shown.
Study the pie chart carefully and answer the question that follows.


What is the ratio of the central angle corresponding to the sale of potatoes, tomatoes and beans together to the central angle corresponding to the combined sale of onions and others?

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Question 70

PQ and RS are two parallel chords of a circle of length 14 cm and 48 cm. respectively, and lie on the same side of the centre O. If the distance between the chords is 17 cm, what is the radius (i.n cm) of the circle?

Video Solution
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