SSC CGL 13th April 2022 Shift-3

Instructions

For the following questions answer them individually

Question 61

A person travels 5$$x$$ distance at a speed of 5 km/h, $$x$$ distance at a speed of 5 km/h, and 4$$x$$ distance at a speed of 6 km/h, and takes a total of 112 minutes. What is the total distance (in km) travelled by the person?

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Question 62

Person A can do one-fifth of the work in 3 days, while B's efficiency is half of that of A. In how many days A and B working together can do half of the work?

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Question 63

Study the given histogram that shows the marks obtained by students in an examination and answer the question that follows.


The number of students who obtained less than 200 marks is what percentage less than the number of students who obtained 400 or more marks ( correct to one decimal place)?

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Question 64

If $$\sin^{2} \theta - \cos^{2} \theta - 3sin \theta + 2 = 0 , 0^{\circ} < 0 < 90^{\circ}$$, then what is the value of $$1 + sec \theta + tan \theta$$?

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Question 65

What is the value of p, if 25(3 + 4p) + 12 of 5 - 3 $$\times$$ 8 = 6?

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Question 66

Let $$x$$ $$cm^{2}$$ be the surface area and y $$cm^{3}$$ be the volume of a sphere such that y = 14$$x$$. What is the radius (in cm) of the sphere?

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Question 67

A shopkeeper bought 40 pieces of an article at a rate of ₹50 per item. He sold 35 pieces with 20% profit. The remaining 5 pieces were found to be damaged and he sold them with 10% loss. Find his overall profit percentage.

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Question 68

The curved surface area of a right circular cylinder is 616 $$cm^{2}$$ and the area of its base is 38.5 $$cm^{2}$$ . What is the volume (in $$cm^{3}$$ ) of the cylinder? (Take $$\pi = \frac{22}{7}$$).

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Question 69

The sides PQ and PR of $$\triangle$$ PQR are produced to points S and T, respectively. The bisectors of $$\angle$$ SQR and $$\angle$$ TRQ meet at point U. If $$\angle QUR = 69^{\circ}$$, then the measure of $$\angle$$ P is:

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Question 70

A, B and C start a business. A invests $$33\frac{1}{3}\%$$ of the total capital, B invests 25% of the remaining, and C invests the rest. If the total profit at the end of the year is ₹1,86,000, then A's share of the profit (in ₹) is:

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