Correct Answer: 7.5

Solution : Let's the distance of the foot of the ladder as $x$, and the height of the top of the ladder is 18 m
Length of the ladder = $L$ (Hypotenuse)
 $h$ = 18 cm and cos θ = $\frac{5}{13}$
Now,
⇒ cos θ = $\frac{5}{13}$

Correct Answer: JSAF

Solution : Given:
PYWB, MVYD, ?, GPCH, DMEJ

In the above-given series, subtract 3 from the place values of the first and second letters and add 2 to the place values of the third and fourth letters.
PYWB→P – 3 = M; Y – 3 = V;

Correct Answer: oxides of Nitrogen and Sulphur

Solution : The correct answer is this acid ruins vegetation and buildings.

Acid rain is caused by the massive release of acidic gases into the atmosphere by thermal power plants, industry, and automobiles. When emissions from factories, automobiles, or heating boilers come

Correct Answer: 1945

Solution : The correct option is 1945.

United Nations is the world's largest organisation. It aims to maintain international peace. It is headquartered in New York, but its offices are located in many different cities. India became a member of the United Nations on October 30,

Correct Answer:

Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
So, according to the above property and the information provided, the mirror is placed on the right side of the figure (on line XY). So, the left side of the

Correct Answer:

Solution : When the given folded paper is unfolded, it will look like –

Hence, the third option is correct.

Correct Answer: 178

Solution : Let's check each option –
First option: 240; 240 ÷ 4 = 60
Second option: 160; 160 ÷ 4 = 40
Third option: 178; 178 is not divisible by 4.
Fourth option: 176; 176 ÷ 4 = 44

So, only the third option doesn't follow

Correct Answer: 6

Solution : The correct answer is 6.

The climate of a location is influenced by six primary factors: latitude, altitude, atmospheric pressure and wind systems, proximity to the sea (continentality), ocean currents and topographical relief. The curvature of the Earth results in varying amounts of solar

Correct Answer: Forest Hills

Solution : The correct answer is Forest Hills.

The venue of the US Open Tennis championship was Forest Hills before it shifted to the Flushing Meadows. Till 1968, the five championships were contested at different locales, and when all these five tournaments were finally hosted at

Correct Answer: $\frac{\sqrt{7}}{3}$

Solution : Given: $\sin \theta+\cos \theta=\frac{\sqrt{11}}{3}$    (equation 1)
Squaring both sides of the equation 1, we get,
$(\sin \theta+\cos \theta)^2=(\frac{\sqrt{11}}{3})^2$
⇒ $\sin^2 \theta+\cos^2 \theta+2\sin \theta \cos \theta=\frac{11}{9}$
⇒ $1+2\sin \theta \cos \theta=\frac{11}{9}$
⇒ $2\sin \theta \cos \theta=\frac{11}{9}-1$
⇒ $2\sin \theta \cos \theta=\frac{2}{9}$     (equation 2)
Substitute the value