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29 Views

Question : Which of the following is not the correct statement about escape velocity?

Option 1: In our solar system, Jupiter has the highest escape velocity

Option 2: On the earth, the escape velocity is 11.2 km/s

Option 3: Escape velocity depends on the mass and radius of the celestial body

Option 4: In our solar system, Venus has the lowest Escape velocity

Team Careers360 21st Jan, 2024

Correct Answer: In our solar system, Venus has the lowest Escape velocity


Solution : The correct option is in our solar system, Venus has the lowest Escape velocity.

In our solar system, Mars has the lowest Escape velocity.

The Escape velocity is independent of the body's mass and

12 Views

Question : If $\tan A=\frac{5}{12}$, then the value of $\cos A=$______.

Option 1: $\frac{12}{5}$

Option 2: $\frac{13}{5}$

Option 3: $\frac{5}{13}$

Option 4: $\frac{12}{13}$

Team Careers360 24th Jan, 2024

Correct Answer: $\frac{12}{13}$


Solution : Given: $\tan A = \frac{5}{12}$ 
Then, $\sec A$
= $\sqrt{(1 + \tan^2A)}$
= $\sqrt{(1 + \frac{25}{144})}$
= $\sqrt{(\frac{169}{144})}$
= $\frac{13}{12}$
So, $\cos A = \frac{1}{\sec A}=\frac{12}{13}$
Hence, the correct answer is $\frac{12}{13}$.

18 Views

Question : Chords AC and BD of a circle with centre O, intersect at right angles at E. If $\angle OAB=25^{\circ}$, then the value of $\angle EBC$ is:

Option 1: $30^{\circ}$

Option 2: $25^{\circ}$

Option 3: $20^{\circ}$

Option 4: $15^{\circ}$

Team Careers360 24th Jan, 2024

Correct Answer: $25^{\circ}$


Solution :
Construction: Join $OB$
Using figure, $OA = OB =$ radius
$\angle OAB = \angle OBA = 25^\circ$
In $\triangle AOB$
$\angle AOB + \angle OBA+\angle OBA = 180^\circ$
$\therefore \angle AOB = 180^\circ - 25^\circ- 25^\circ = 130^\circ$
To find: $\angle EBC$
Construction: Join $BC$

14 Views

Question : If $\sec x+\cos x=2$, then the value of $\sec^{16} x+\cos^{16} x$ will be:

Option 1: $\sqrt3$

Option 2: $2$

Option 3: $1$

Option 4: $0$

Team Careers360 23rd Jan, 2024

Correct Answer: $2$


Solution : Given: $\sec x+\cos x=2$
We know the algebraic identity, $(a-b)^2=a^2+b^2-2ab$.
$\frac{1}{\cos x}+\cos x=2$
Or, $\frac{1+\cos^2 x}{\cos x}=2$
Or, $\cos^2 x–2\cos x+1=0$
Or, $(\cos x-1)^2=0$
$\therefore \cos x=1$
So, $\sec x=1$.
The value of $\sec^{16} x+\cos^{16} x$ = $1+1=2$
Hence, the correct answer is $2$.

11 Views

Question : Which of the following authors shares his/her birthday with a fictional character in a book written by him/her?

Option 1: Rudyard Kipling

Option 2: Jane Austen

Option 3: R. K. Narayan

Option 4: J. K. Rowling

Team Careers360 24th Jan, 2024

Correct Answer: J. K. Rowling


Solution : The correct answer is J. K. Rowling

Harry Potter, J. K. Rowling's creation and arguably the most well-known fictional figure of our time, was born on the same day. Harry, J. K. Rowling's invention, is ready to celebrate his 40th birthday as she

100 Views

Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
He told his friends / that he is gone/ to visit his parents / in the evening.

Option 1: in the evening

Option 2: that he is gone

Option 3: to visit his parents

Option 4: He told his friends

Team Careers360 25th Jan, 2024

Correct Answer: that he is gone


Solution : The correct choice is the second option.

The error lies in the use of the present tense "is" instead of the past perfect tense "had gone". If the action of visiting his parents occurred before another past event in the narrative, we

9 Views

Question : Comprehension:

Read the passage and answer the questions that follow.

Cambridge was my metaphor for England, and it was strange that when I left it had become altogether something else because I had met Stephen Hawking there. It was on a walking tour through Cambridge that the guide mentioned Stephen Hawking, ‘poor man, who is quite disabled now, though he is a worthy successor to Isaac Newton, whose chair he has at the university.’ And I started because I had quite forgotten that this most brilliant and completely paralyzed astrophysicist, (scholar of astrophysics — a branch of physics dealing with stars, planets, etc.) the author of A Brief History of Time, one of the biggest best-sellers ever, lived here. When the walking tour was done, I rushed to a phone booth and, almost tearing the cord so it could reach me outside, phoned Stephen Hawking’s house. There was his assistant on the line and I told him I had come in a wheelchair from India (perhaps he thought I had propelled myself all the way) to write about my travels in Britain. I had to see Professor Hawking — even ten minutes would do. “Half an hour,” he said. “From three-thirty to four.”And suddenly I felt weak all over. Growing up disabled, you get fed up with people asking you to be brave as if you have a courage account on which you are too lazy to draw a cheque. The only thing that makes you stronger is seeing somebody like you, achieving something huge. Then you know how much is possible and you reach out further than you ever thought you could. “I haven’t been brave,” said his disembodied computer-voice, the next afternoon.“I’ve had no choice.” Surely, I wanted to say, living creatively with the reality of his disintegrating body was a choice? But I kept quiet because I felt guilty every time I spoke to him, forcing him to respond. There he was, tapping at the little switch in his hand, trying to find the words on his computer with the only bit of movement left to him, his long, pale fingers. Every so often, his eyes would shut in frustrated exhaustion. And sitting opposite him I could feel his anguish, the mind buoyant with thoughts that came out in frozen phrases and sentences stiff as corpses.

Question:

Complete the sentence to make it true.

The narrator:

Option 1: is the author of A Brief History of Time

Option 2: dislikes people asking him to be brave

Option 3: came to Britain to study astrophysics

Option 4: met Stephen Hawking accidentally

Team Careers360 21st Jan, 2024

Correct Answer: dislikes people asking him to be brave


Solution : The correct choice is the second option.

Explanation:
The reason for this choice is evident in the passage where the narrator mentions, "Growing up disabled, you get fed up with people asking you to be brave as if you

12 Views

Question : Directions: Select the related letter cluster from the given alternatives.
ABDG : CDFI :: EFHK : ?

Option 1: GHJM

Option 2: HILN

Option 3: HIMN

Option 4: HIKM

Team Careers360 25th Jan, 2024

Correct Answer: GHJM


Solution : Given:
ABDG : CDFI :: EFHK : ?

Here, add 2 to the place value of ABDG to obtain the required code –
A + 2 = C; B + 2 = D; D + 2 = F; G + 2 = I
Thus, ABDG

18 Views

Question : The total surface area of a right circular cylinder is 1848 cm2. The ratio of its total surface area to the curved surface area is 3 : 1. The volume of the cylinder is: (Take $\pi=\frac{22}{7}$)

Option 1: 4312 cm3 

Option 2: 3696 cm3 

Option 3: 4002 cm3 

Option 4: 4851 cm3 

Team Careers360 23rd Jan, 2024

Correct Answer: 4312 cm3 


Solution : Let the radius of the base of the cylinder as $r$ and the height of the cylinder as $h$. 
The total surface area (TSA) of a right circular cylinder is,
$⇒\text{TSA} = 2\pi r(r + h)$
The curved surface area (CSA) of a

14 Views

Question : Choose the incorrectly spelt word.

Option 1: Shout

Option 2: Salute

Option 3: Belieif

Option 4: Crops

Team Careers360 24th Jan, 2024

Correct Answer: Belieif


Solution : The correct choice is the third option.

The incorrectly spelt word is belieif.

The correct spelling of the word is belief, which means a mindset of trusting or having confidence in something.

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