SSC CGL Tier l 2023 Question Paper Shift 1 (July 21st)

Instructions

For the following questions answer them individually

Question 51

Anuj and Anup have to travel from a place A to a place B in their respective cars. Anuj is driving at 70 km/h, and takes 3 halts of 10 minutes each, while Anup is driving at 80 km/h, and takes 4 halts of 15 minutes each. The time taken by Anup to reach Place B, if Anuj takes 8.5 hours, is:

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Question 52

In the given figure, diameter AB and chord CD of a circle meet at P. PT is a tangent to the circle at T. If CD = 8 cm, PD = 10 cm and PB = 8 cm, find AB.

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Question 53

If $$\sec A + \tan A = 3$$, then $$\cos A$$ is equal to:

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Question 54

If $$x + y = 7$$ and $$xy = 19$$, then calculate the value of $$x^{2} + y^{2}$$.

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Question 55

Which of the following options is NOT a correct trigonometric identity?

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Question 56

The volume of a cuboid is twice that of a cube. If the dimensions of the cuboid are (8 m $$\times$$ 8 m $$\times$$ 16 m), the total surface area of the cube is:

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Question 57

Simplify the given expression.
(a - 2b) (b - 3a) + (a + b) (a - 3b) - (b - 3a) (4a - 5b)

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Question 58

If $$(a + b + c) = 12$$, and $$(ab + bc + ca) = 47$$, find the value of $$(a^{3} + b^{3} + c^{3} - 3abc)$$.

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Question 59

Find the value of the given expression:
$$10 \div 5 \times 1 + 3 - [8 - {5 - (7 - 7 - 9)}]$$

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Question 60

What is the value of $$sec^{2} \theta - cot^{2} (90^{\circ} -\theta)$$?

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