Correct Answer: 7 : 8

Solution : Given: $\frac{22 \sqrt{2}}{4 \sqrt{2}-\sqrt{3+\sqrt{5}}}=a+\sqrt{5} b$
Multiplying and dividing the number $\sqrt{3+\sqrt5}$ by $\sqrt2$
⇒ $\frac{22 \sqrt{2}}{4 \sqrt{2}-(\frac{\sqrt2(\sqrt{3+\sqrt{5})}}{2})}=a+\sqrt{5} b$
⇒ $\frac{22 \sqrt{2}}{4 \sqrt{2}-(\frac{\sqrt{6+2\sqrt{5}}}{2})}=a+\sqrt{5} b$
$\because (\sqrt{5}+1)^2=6+2\sqrt5$
⇒ $\frac{22 \sqrt{2}}{4 \sqrt{2}-(\frac{\sqrt{(\sqrt{5}+1)^2}}{2})}=a+\sqrt{5} b$
⇒ $\frac{22 \sqrt{2}}{4 \sqrt{2}-(\frac{\sqrt{5}+1)}{\sqrt2})}=a+\sqrt{5} b$
⇒ $\frac{22 \sqrt{2}}{(\frac{4 \sqrt{2}\times\sqrt 2-\sqrt{5}-1)}{\sqrt2})}=a+\sqrt{5} b$
⇒ $\frac{22

Correct Answer: 0

Solution : Given, $\sin \theta=\frac{1}{2}$
⇒ $\theta = 30^\circ$
Now, $\left(3 \cos \theta-4 \cos ^3 \theta\right)=-\cos 3\theta$ 
⇒ $\left(3 \cos \theta-4 \cos ^3 \theta\right)=-\cos 90^\circ$ 
⇒ $\left(3 \cos \theta-4 \cos ^3 \theta\right)=0$ 
Hence, the correct answer is 0.

Correct Answer: 9 : 5

Solution : The number of scissors sold by R = 45
The number of scissors sold by S = 25
So, the required ratio = $\frac{45}{25} = \frac{9}{5}$
Hence, the correct answer is 9 : 5.

Correct Answer: 3,55,000

Solution : As per the given graph,
The total production of mobile phones in 2007 = 35 lakh
The total production in 2008 = 44 lakh
The number of mobiles of model B manufactured in 2007 = 15% of 35 lakh = 5,25,000
The number of mobiles

Correct Answer: The teacher says that magnets attract objects made of iron.

Solution : The correct choice is the first option.

The steps of conversion are as follows:

• There would be no change in the reporting verb as no object is mentioned after it.
• The tense of the reported speech

Correct Answer: The Prime Minister

Solution : The correct answer is The Prime Minister.

The President may occasionally convene each House of Parliament to meet at whatever time and location he deems appropriate in consultation with the Prime Minister, but no more than six months may elapse between the date

Correct Answer: 500

Solution : Given: 60% of A = 30% of B, B = 40% of C, and C = $x$% of A
Here, C = $x$% of A ⇒ C = $\frac{x×A}{100}$
and B = 40% of C ⇒ B = $\frac{40×C}{100}$ ⇒ B = $\frac{40×x×A}{100×100}$ = $\frac{2×x×A}{500}$

Correct Answer: 20%

Solution : Let the cost price be Rs. 100
Then, marked price = 25% of CP = Rs. 125
If the oil is to be sold at no profit and no loss, the selling price should be Rs. 100
$\text{Percentage decrease} = \frac{\text{Marked price – selling price}}{\text{Marked

Correct Answer: Constellation

Solution : The first option is the correct answer.

A constellation is a group of stars forming a recognisable pattern or shape, often named after mythological figures, animals, or objects. Constellations are visible from Earth and have been used for navigation and storytelling throughout history.

The meanings

Correct Answer: preservation

Solution : The second option is the correct answer: preservation.

Salvation: The act of saving or being saved from a difficult situation, often with a religious connotation.

Preservation: The act of protecting something from damage and maintaining it in its original state.

Maintenance: The