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Question : From point P on the level ground, the angle of elevation to the top of the tower is 30°. If the tower is 100 metres high, the distance of point P from the foot of the tower is: (Take $\sqrt{3}$ = 1.73)

Option 1: 149 m

Option 2: 156 m

Option 3: 173 m

Option 4: 188 m

Team Careers360 25th Jan, 2024

Correct Answer: 173 m


Solution :
Let AB be the tower.
Given: AB = 100 m and $\theta$ = 30°
In $\triangle$ PAB,
$\tan$ $\theta$ = $\frac{AB}{PB}$
⇒ $\tan 30°$ = $\frac{100}{PB}$
⇒ $\frac{1}{\sqrt{3}}$ = $\frac{100}{PB}$
⇒ $PB = 100 × \sqrt{3} = 100 × 1.73 = 173$ m
Hence,

13 Views

Question : The fleshy thalamus is edible in 

Option 1: apple

Option 2: tomato

Option 3: orange

Option 4: mango

Team Careers360 20th Jan, 2024

Correct Answer: apple


Solution : The correct option is apple.

The area of a fruit that encloses and sustains the seeds is called the " receptacle", and it is the fleshy thalamus. It is also the portion of various fruits that are usually eaten with the seeds. The apple

9 Views

Question : If $x=a+\frac{1}{a}$ and $y=a-\frac{1}{a}$, then the value of $x^4+y^4-2x^2y^2$ is:

Option 1: 4

Option 2: 8

Option 3: 16

Option 4: 64

Team Careers360 25th Jan, 2024

Correct Answer: 16


Solution : Given:
$x=a+\frac{1}{a}$, $y=a-\frac{1}{a}$
Now, $x^2=(a+\frac{1}{a})^2=a^2+\frac{1}{a^2}+2$
And $y^2=(a-\frac{1}{a})^2=a^2+\frac{1}{a^2}-2$
Now, we know, $x^4+y^4-2x^2y^2=(x^2-y^2)^2$
$⇒x^4+y^4-2x^2y^2= [(a^2+\frac{1}{a^2}+2)-(a^2+\frac{1}{a^2}-2)]^2$
$\therefore x^4+y^4-2x^2y^2=(2+2)^2=16$
Hence, the correct answer is 16.

17 Views

Question : Who among the following sang the famous Bollywood song "Ae Dil Hai Mushkil"?

Option 1: Arijit Singh

Option 2: Neeti Mohan

Option 3: Shreya Ghoshal

Option 4: Sukhbir

Team Careers360 19th Jan, 2024

Correct Answer: Arijit Singh


Solution : The correct option is Arijit Singh.

The famous Bollywood song "Ae Dil Hai Mushkil" was sung by Arijit Singh. The song is the title track of the film "Ae Dil Hai Mushkil", which was directed by Karan Johar. It was released in 2016.

46 Views

Question : A sentence has been given with a blank to be filled with an appropriate word. Choose the correct alternative.

His heart pounded as he checked his rearview mirror and saw only the dark _______ of highway.

Option 1: vitality

Option 2: stretch

Option 3: trench

Option 4: emancipation

Team Careers360 19th Jan, 2024

Correct Answer: stretch


Solution : The second option is the correct choice.

Stretch means a continuous extent or expanse. In the context of the sentence, it refers to the view of the highway in the rearview mirror.

The meanings of the other options are as follows:

  • Vitality means energy or

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