SSC CGL Tier l 2023 Question Paper Shift 3 (July 20th)

Instructions

For the following questions answer them individually

Question 61

The cost of 50 dozens of bananas is ₹2,400 and the transport cost per banana is ₹0.25.
The selling price is ₹10 for a pair of bananas. What is the profit percentage (rounded off up to one decimal place)?

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Question 62

The three sides of a triangle are 12, 17 and x units. Which of the following options is correct?

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Question 63

The following bar graph represents the demand and production for five companies, V, W, X, Y and Z. On the basis of the bar graph, answer the question.

If K% of the production for company X equals the demand for company W, then K equals:

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Question 64

A thief is noticed by a policeman from a distance of 200 m. The thief starts running as soon as he is noticed, and the policeman chases him simultaneously. The thief and the policeman run at the speeds of 10 km/h and 11 km/h, respectively. What is the distance (in m) between them after 6 min policeman starts chasing?

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Question 65

If $$a + b + c = 7, ab + bc + ca = 11$$ and $$abc = -1$$, then $$a^3 + b^3 + c^3$$ is equal to:

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Question 66

The maximum value of $$(\sin^{12} \theta + \cos^{20} \theta)$$ for all the real values of $$\theta$$ is:

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Question 67

Find the value of $$\frac{2}{3}\tan^2 60^\circ + 3 \cos^2 30^\circ - 2 \sec^2 30^\circ - \frac{3}{4}\cot^2 60^\circ$$.

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Question 68

The square of 72 is equal to the product of 216 and a number. Find the number.

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Question 69

P and Q can do a job in 24 days, Q and R can do it in 30 days, while P and R can do it in 40 days. X is four times as efficient as P, Y is half as efficient as Q, and Z is 2.5 times as efficient as R. Determine the number of days required to complete the same job if X, Y and Z work together.

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Question 70

Simplify.
$$325 + 276 \div [150 - \left\{9 \times 9 + (83 - 4 \times 15)\right\}]$$

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