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24 Views

Question : Who among the following Indian music composers won the Oscar Award in the year 2023?

Option 1: Mani Sharma

Option 2: A. R. Rahman

Option 3: Devi Sri Prasad

Option 4: M. M. Keeravani

Team Careers360 22nd Jan, 2024

Correct Answer: M. M. Keeravani


Solution : The correct option is M. M. Keeravani.

M. M. Keeravani is an Indian music composer who won the Best Original Song Award at the 95th Academy Awards in 2023, along with lyricist-singer Chandrabose, for the song "Naatu Naatu" from the movie RRR.

17 Views

Question : Directions: In the following question, select the one which is different from the other three alternatives.

Option 1: dcba

Option 2: zyxw

Option 3: srpq

Option 4: hgfe

Team Careers360 25th Jan, 2024

Correct Answer: srpq


Solution : Let's check the options –
First option: dcba; The letters are written in the reverse order→abcd
Second option: zyxw; The letters are written in the reverse order→wxyz
Third option: srpq; The letters are not written in the reverse order→qprs
Fourth option: hgfe; The letters are

23 Views

Question :

Which of the following has no blood, but respires?

Option 1:

Fish

Option 2:

Earthworm

Option 3: Hydra

Option 4: Cockroach

Team Careers360 22nd Jan, 2024

Correct Answer: Hydra


Solution : The correct answer is Hydra.

The Genus Hydra falls under the Phylum Cnidaria and is a small group of freshwater Hydrozoans. The body of Hydra is cylindrical and radially symmetrical. The body of Hydra does not contain blood instead, they have Mesenchymal stem cells.

16 Views

Question : From a point 12 m above the water level, the angle of elevation of the top of a hill is 60° and the angle of depression of the base of the hill is 30°. What is the height (in m) of the hill?

Option 1: $48 \sqrt{3}$

Option 2: $36$

Option 3: $36 \sqrt{3}$

Option 4: $48$

Team Careers360 22nd Jan, 2024

Correct Answer: $48$


Solution :
Given :
Point 12 m above the water level
The angle of elevation of the top of a hill = $60^\circ$
The angle of depression of the base of the hill = $30^\circ$
Now, In triangle ABE
$\Rightarrow \tan 30^\circ\ =\ \frac{AB}{BE}$
$\Rightarrow \frac{1}{\sqrt{3}}\ =\

15 Views

Question : Assume that a drop of water is spherical and that its diameter is one-tenth of a cm. A conical glass has a height equal to the diameter of its rim. If 32,000 drops of water fill the glass completely, then the height of the glass (in cm) is:

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 22nd Jan, 2024

Correct Answer: 4


Solution : Height of the glass $=h$ cm
Radius of the glass $=\frac{h}{2}$
Volume of the glass $=\frac{1}{3}\pi r^2 h=\frac{1}{3}\pi (\frac{h}{2})^2 h$
Radius of the spherical drop $=\frac{1}{2\times10}=\frac{1}{20}$ cm
Volume of a spherical drop $=\frac{4}{3}\pi r^3=\frac{4}{3}\pi (\frac{1}{20})^3$
Volume of 32,000 spherical drops $=32000\times\frac{4}{3}\pi (\frac{1}{20})^3$
Now, the volume

20 Views

Question : If $\tan^4\theta + \tan^2\theta=1$, what is the value of $11(\cos^4\theta+\cos^2\theta)$?

Option 1: – 11

Option 2: 8

Option 3: 0

Option 4: 11

Team Careers360 24th Jan, 2024

Correct Answer: 11


Solution : Given:
$\tan^4\theta + \tan^2\theta=1$
⇒ $\tan^2\theta(\tan^2\theta+1)=1 [\because \sec^2\theta-\tan^2\theta=1]$
⇒ $\tan^2\theta \sec^2\theta=1$
$\therefore \tan^2\theta=\cos^2\theta$
$11(\cos^4\theta+\cos^2\theta)$
= $11[(\cos^2\theta)^2+\cos^2\theta]$
= $11(\tan^4\theta + \tan^2\theta)$
= $11×1$
= $11$
Hence, the correct answer is 11.

19 Views

Question : If $\cos A=\frac{1}{2}, 0 \leq A \leq 90^{\circ}$, then what is the value of sin (180 - A)?

Option 1: $\frac{1}{2}$

Option 2: $\frac{\sqrt{3}}{2}$

Option 3: $\frac{1}{\sqrt{3}}$

Option 4: $1$

Team Careers360 25th Jan, 2024

Correct Answer: $\frac{\sqrt{3}}{2}$


Solution : According to the question
sin2A + cos2A = 1
⇒ sin$^{2} A + \frac{1}{2}^{2}$ = 1
⇒ sin$^{2} A + \frac{1}{4}$ = 1
⇒ sin$^{2} A = 1 - \frac{1}{4}$ = $\frac{3}{4}$
⇒ Sin A = $\frac{\sqrt{3}}{2}$
Now,
⇒ sin(180 −

14 Views

Question : Find the length of the arc if the angle at the centre of the circle of radius 7 units is 60°.

Option 1: $4$ units

Option 2: $\frac{11}{4}$ units

Option 3: $\frac{22}{3}$ units

Option 4: $21$ units

Team Careers360 23rd Jan, 2024

Correct Answer: $\frac{22}{3}$ units


Solution : Given:
The radius of the circle: 7 units
The angle at the centre is 60°.
Length of arc = $\frac{θ}{360°} × 2πr$, here $r$ is the radius and $\theta$ is the angle at centre.
⇒ Length of the arc = $\frac{60°}{360°} × 2 ×

20 Views

Question : If $\frac{xy}{x+y}=a$, $\frac{xz}{x+z}=b$ and $\frac{yz}{y+z}=c$, where $a,b,c$ are all non-zero numbers, $x$ equals to:

Option 1: $\frac{2abc}{ab+bc–ac}$

Option 2: $\frac{2abc}{ab+ac–bc}$

Option 3: $\frac{2abc}{ac+bc–ab}$

Option 4: $\frac{2abc}{ab+bc+ac}$

Team Careers360 25th Jan, 2024

Correct Answer: $\frac{2abc}{ac+bc–ab}$


Solution : Given: $\frac{xy}{x+y}=a$, $\frac{xz}{x+z}=b$ and $\frac{yz}{y+z}=c$, where $a,b,c$ are all non-zero numbers.
We can write $\frac{xy}{x+y}=\frac{1}{\frac{1}{x}+\frac{1}{y}}$
⇒ $\frac{1}{a}=\frac{1}{x}+\frac{1}{y}$ -------------------------------(1)
Similarly, we can write,
$\frac{xz}{x+z}=\frac{1}{\frac{1}{x}+\frac{1}{z}}$
⇒ $\frac{1}{b}=\frac{1}{x}+\frac{1}{z}$ --------------------------------(2)
Similarly, $\frac{1}{c}=\frac{1}{y}+\frac{1}{z}$ ----------------------(3)
Adding equation (1) and equation (2),
⇒ $\frac{1}{a}+\frac{1}{b}=\frac{2}{x}+\frac{1}{y}+\frac{1}{z}$
⇒ $\frac{1}{a}+\frac{1}{b}=\frac{2}{x}+\frac{1}{c}$
⇒ $\frac{1}{a}+\frac{1}{b}–\frac{1}{c}=\frac{2}{x}$
⇒ $\frac{(bc+ac–ab)}{abc}=\frac{2}{x}$
$\therefore x=\frac{2abc}{(bc+ac–ab)}$

30 Views

Question : Select the most appropriate ANTONYM of the given word.

Hostile

Option 1: Hospitable

Option 2: Bitter

Option 3: Nasty

Option 4: Aggressive

Team Careers360 25th Jan, 2024

Correct Answer: Hospitable


Solution : The most appropriate option is the first option.

"Hospitable" is the direct antonym of "hostile". While "hostile" means unfriendly or antagonistic, "hospitable" means welcoming and friendly.

The meanings of the other options are as follows:

  • "Bitter" means having a sharp, pungent taste.
  • "Nasty" means very
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