SSC CGL Tier l 26th July 2023 Shift-4

Instructions

For the following questions answer them individually

Question 51

In 1 km linear race, P beats Q by 120 metres or 30 sec. What is the time taken by P to cover the race?

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Question 52

Find the value of the given expression $$14 \div 7 \times 1 + 3 - \left[18 - \left\{15 - \left(7 - 7 - 2\right)\right\}\right]$$

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Question 53

Triangle ABC is circumscribed around circle D. Segments AQ, BR and SC measure 13 10.5 and 6 cm, respectively. The perimeter of triangle ABC is:

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Question 54

Study the graph carefully.


The decrease in imports in 1976 was what percent of the imports in 1975?

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Question 55

If (a+ b + c) = 14, and $$(a^{3} + b^{3} + c^{3} - 3abc) = 98$$, find the value of (ab+ bc+ ca).

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Question 56

If $$A = 22.5^{\circ}$$, what is the value of $$(10\sqrt{2} \sin 2A - 7\sqrt{2} \cos 2A + 9 \tan 2A)$$?

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Question 57

The sum of the cubes of two given natural numbers is 9728, while the sum of the two given numbers is 32. What is the product of the two given numbers?

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Question 58

The force (in pound-force) needed to keep a car from skidding on a curve varies directly with the weight of the car (in pounds) and the square of its speed (in miles per hour [mph]) and inversely with the radius (in feet) of the curve. Suppose 6125 pound-force is required to keep a 2750 pound car, travelling at a speed of 35 mph, from skidding on a curve of radius 550 feet. How much pound-force is then required to keep a 3600 pound car, travelling at a speed of 50 mph, from skidding on a curve of radius 750 feet?

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Question 59

In the figure, PT is a tangent. If TP=12 cm, PB=x+7 cm and PA=x cm, then find the value of x.

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Question 60

Study the given table and answer the question that follows.
The table shows the marks distribution among the students in a class.

How many students scored more than 40 marks?

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