SSC CGL 3rd Dec 2022 Shift-3

Instructions

For the following questions answer them individually

Question 71

If $$8a^{3} + 27b^{3} = 16$$ and 2a + 3b = 4,then find the value of $$16a^{4} + 81b^{4}$$.

Video Solution

Question 72

If $$\frac{k - k\cot^{2}30^{\circ}}{1+\cot^{2}30^{\circ}} = \sin^{2}60^{\circ} + 4\tan^{2}45^{\circ}-\cosec^{2}60^{\circ}$$, then the value of k (correct to two decimal places) is:

Video Solution

Question 73

Let O be the centre of a circle and P be the point outside the circle. If PAB is a secant to the circle intersecting the circle at A and B and PT is the tangent segment drawn from P, find the length of PT, if PA = 3 cm and AB = 9 cm.

Video Solution

Question 74

Suppose $$\angle$$ ABC be a right-angled triangle where $$\angle A = 90^{\circ}$$ and $$AD \perp BC$$. If area ($$\triangle ABC) = 80 cm^{2}$$ and BC = 16 cm, then the length of AD is:

Video Solution

Question 75

A solid copper sphere of radius 9 cm is hammered and moulded into a wire of radius 2 cm. What is the length of this wire?

Video Solution

Question 76

A sentence has been given with a blank to be filled with an appropriate word. Choose the correct alternative.
Every person should know their own _______, what their skill set is and how unique they are. \

Video Solution

Question 77

Select the INCORRECTLY spelt word.

Video Solution

Question 78

Select the most appropriate ANTONYM of the given word.

Humble

Video Solution

Question 79

Select the most appropriate meaning of the given idiom.

Bear the palm

Video Solution

Question 80

Select the sentences that contains no spelling errors.

Video Solution

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SSC CGL 3rd Dec 2022 Shift-3

SSC CGL 3rd Dec 2022 Shift-3

If $$8a^{3} + 27b^{3} = 16$$ and 2a + 3b = 4,then find the value of $$16a^{4} + 81b^{4}$$.

If $$\frac{k - k\cot^{2}30^{\circ}}{1+\cot^{2}30^{\circ}} = \sin^{2}60^{\circ} + 4\tan^{2}45^{\circ}-\cosec^{2}60^{\circ}$$, then the value of k (correct to two decimal places) is:

Let O be the centre of a circle and P be the point outside the circle. If PAB is a secant to the circle intersecting the circle at A and B and PT is the tangent segment drawn from P, find the length of PT, if PA = 3 cm and AB = 9 cm.

Suppose $$\angle$$ ABC be a right-angled triangle where $$\angle A = 90^{\circ}$$ and $$AD \perp BC$$. If area ($$\triangle ABC) = 80 cm^{2}$$ and BC = 16 cm, then the length of AD is:

A solid copper sphere of radius 9 cm is hammered and moulded into a wire of radius 2 cm. What is the length of this wire?

A sentence has been given with a blank to be filled with an appropriate word. Choose the correct alternative.Every person should know their own _______, what their skill set is and how unique they are. \

Select the INCORRECTLY spelt word.

Select the most appropriate ANTONYM of the given word. Humble

Select the most appropriate meaning of the given idiom. Bear the palm

Select the sentences that contains no spelling errors.

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SSC Quant Questions | SSC Quantitative Ability

SSC DILR Questions | LRDI Questions For SSC

SSC Verbal Ability Questions | VARC Questions For SSC

A sentence has been given with a blank to be filled with an appropriate word. Choose the correct alternative.
Every person should know their own _______, what their skill set is and how unique they are. \

Select the most appropriate ANTONYM of the given word.

Humble

Select the most appropriate meaning of the given idiom.

Bear the palm