SSC CGL Tier l 2023 Question Paper Shift 4 (July 18th)

Instructions

For the following questions answer them individually

SSC CGL Tier l 2023 Shift 4 (July 18th) - Question 61


In a $$\triangle ABC$$, if $$\angle A= 90^{\circ}$$, AC= 5 cm, BC= 9 cm and in $$\triangle PQR, LP= 90^{\circ}$$, PR = 3 cm, QR= 8 cm, then:

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SSC CGL Tier l 2023 Shift 4 (July 18th) - Question 62


The following diagram shows the rainfall over two years. Which of the following months shows the highest percentage change in rainfall?

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SSC CGL Tier l 2023 Shift 4 (July 18th) - Question 63


If $$ p = \frac{\sqrt{2} + 1}{\sqrt{2} - 1}$$ and $$q = \frac{\sqrt{2} - 1}{\sqrt{2} + 1}$$, then find the value of $$\frac{p^{2}}{q} + \frac{q^{2}}{p}$$.

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SSC CGL Tier l 2023 Shift 4 (July 18th) - Question 64


Find the exact value of $$\cos 120^{\circ}$$.

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SSC CGL Tier l 2023 Shift 4 (July 18th) - Question 65


A cone and a cylinder with equal radii have equal volumes. The ratio of their heights is:

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SSC CGL Tier l 2023 Shift 4 (July 18th) - Question 66


Observe the given figure. The distance between the two centers AB is

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SSC CGL Tier l 2023 Shift 4 (July 18th) - Question 67


Quantity of various food items used by a restaurant during 4 months of a year (in kg).

What is the average quantity of food item C used during all the 4 months together?

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SSC CGL Tier l 2023 Shift 4 (July 18th) - Question 68


Find the fourth proportional of 144, 192 and 216.

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SSC CGL Tier l 2023 Shift 4 (July 18th) - Question 69


Simplify the following expression.

$$\frac{7}{10} \div \frac{3}{7}$$ of $$\left(2\frac{3}{10} + 2\frac{3}{5}\right) + \frac{1}{5} \div 1\frac{2}{5} - \frac{2}{7}$$

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SSC CGL Tier l 2023 Shift 4 (July 18th) - Question 70


Using $$\tan (A - B) = \frac{\tan A - \tan B}{1+\tan A \tan B}$$, find the value of $$\tan 15^{\circ}$$.

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