SSC CGL Tier l 21st July 2023 Shift-2

Instructions

For the following questions answer them individually

Question 61

A works 5.4 times as fast as B, and A takes 22 days less than B to complete the job when each works alone. Calculate the number of days taken to complete the same job if A and B work together.

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Question 62

Two pipes 51 and 52 alone can fill an empty tank in 15 hours and 20 hours respectively. Pipe S3 alone can empty that completely filled tank in 40 hours. Firstly both pipes S1 and S2 are opened and after 2 hour pipe S3 is also opened. In how much time tank will be completely filled after S3 is opened?

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Question 63

Amit can complete a piece of work in 5 hours; Jeevan and Paul together can complete it in 4 hours, while Amit and Paul together can complete it in 3 hours. Approximately, how many hours will Jeevan alone take to complete the work (rounded off to the nearest integer)?

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Question 64

What is the value of $$(\frac{1=}{a} - \frac{1}{b} - \frac{1}{c})$$ if, $$\frac{2a - 5}{a} - \frac{4b - 5}{b} + \frac{6c + 5}{c} = 0$$?

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Question 65

The following bar diagram shows the number of students who opted for the different subjects in the year 2020 and 2021.

Out of all 5 subjects, what percentage (rounded up to two decimals) of students opted for Biology in 2021?

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Question 66

AB = 28 cm and CD = 22 cm are two parallel chords on the same side of the centre of a circle. The distance between them is 4 cm. The radius of the circle is ______ (Consider up to two decimals)

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Question 67

If $$(x - \frac{1}{x}) = 2\sqrt{2}$$, what is the value of $$(x^{6} + \frac{1}{x}^{6})$$?

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Question 68

To earn a 12% profit, a shopkeeper sells a television for ₹22,400. What should be the selling price (in ₹) of the television if he wants a double profit?

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Question 69

The perimeter of an isosceles triangle is 100 cm. If the base is 36 cm, then find its semi perimeter (in centimetres).

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Question 70

Three successive discounts of 25% each on the marked price of an item are together equivalent to a single discount (correct up to 2 decimal places) of:

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