Correct Answer: – 62739

Solution : $(y-\frac{1}{y})=-9$
Squaring on both sides,
⇒ $(y-\frac{1}{y})^2=(-9)^2$
⇒ $y^2+\frac{1}{y^2}-2×y×\frac{1}{y}=(-9)^2$
⇒ $y^2+\frac{1}{y^2}= 81+2= 83$
Squaring on both sides,
$(y^2+\frac{1}{y^2})^2$ = $83^2$
⇒ $y^4+\frac{1}{y^4}+2 = 6889$
⇒ $y^4+\frac{1}{y^4} = 6887$
⇒ $(y-\frac{1}{y})(y^4+\frac{1}{y^4})$ = $(y^5-\frac{1}{y^5}-y^3+\frac{1}{y^3})$
⇒ $-9×6887 = (y^5-\frac{1}{y^5}-(y^3-\frac{1}{y^3}))$
⇒ $-9×6887 = [y^5-\frac{1}{y^5}-(y-\frac{1}{y})(y^2+\frac{1}{y^2}+y×\frac{1}{y})]$
⇒ $-61983 = [y^5-\frac{1}{y^5}-(-9)(83+1)]$

Correct Answer: The straightforward and ethically acceptable

Solution : The correct meaning of the idiom "on the straight and narrow" is the second option.

The straightforward and ethically acceptable: This is the correct meaning of the idiom. It indicates that someone is living an honest and morally upright life, following

Correct Answer: Both spheres will reach the ground simultaneously.

Solution : The correct option is B will reach the ground first.

Regardless of their masses, all objects close to the surface of the Earth will accelerate owing to gravity at the same pace. The Earth's surface is moving at

Correct Answer: 4 : 3

Solution : As seen from the bar graph,
Marks obtained in Maths = 80
Marks obtained in History = 60
The ratio of marks obtained in Maths to that of History = 80 : 60 = 4 : 3
Hence, the correct answer is 4

Correct Answer:

Solution : According to the given figure –
The triangles flip their position from upside to downside or vice versa, one at a time, starting from the bottom triangle. So, in the second box, the bottom triangle will change its position but the upper triangle will remain the

Correct Answer: Probability

Solution : The fourth option is the correct choice.

The most appropriate synonym for "feasibility" is "probability", because both terms are associated with the likelihood or chance of something happening. Feasibility refers to the practicality or possibility of a proposed plan, while probability

Correct Answer: 4AD²

Solution :
Here ABC is an equilateral triangle with side length $a$ and AD $\perp$ BC.
So, BD = CD = $\frac{a}{2}$
In $\triangle$ABD, AB² = BD² + AD²
⇒ $a^2=(\frac{a}{2})^2+$ AD²
$\therefore$ AD = $\frac{\sqrt3}{2}a$ = $\frac{\sqrt3}{2}$AB = $\frac{\sqrt3}{2}$BC = $\frac{\sqrt3}{2}$AC

Correct Answer: $135^{\circ}$

Solution : Number of sides, $n$ = 8
Each interior angle of an octagon = $(\frac{2n-4}{n})×90^{\circ}$
= $(\frac{2×8-4}{8})×90^{\circ}$
= $(\frac{16-4}{8})×90^{\circ}$
= $\frac{12}{8}×90^{\circ}$
= $3 × 45^{\circ}$
= $135^{\circ}$
Hence, the correct answer is $135^{\circ}$.

Correct Answer: Tina said that her parents were getting divorced.

Solution : The correct choice is the fourth option.

The steps of conversion are as follows:

• There would be no change in the reporting verb.
• The connector "that" is used to introduce the reported clause.
• The present continuous tense "are

Correct Answer: Pampa, Ponna, and Ranna, the three writers of Kannada poetry, and Kailasha Temple

Solution : The correct option is Pampa, Ponna, and Ranna, the three writers of Kannada poetry and Kailasha Temple.

The Kailasa temple at Ellora is a massive rock-cut Shiva temple. It is one of