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12 Views

Question : Find the value of the given expression.
$\sqrt{20-\sqrt{20-\sqrt{20-\sqrt{20-\cdots \infty}}}}$

Option 1: 4

Option 2: 6

Option 3: 5

Option 4: 2

Team Careers360 25th Jan, 2024

Correct Answer: 4


Solution : Given expression,
$\sqrt{20-\sqrt{20-\sqrt{20-\sqrt{20-\cdots \infty}}}}$
Let us equate this with $y$
⇒ $y=\sqrt{20-\sqrt{20-\sqrt{20-\sqrt{20-\cdots \infty}}}}$
⇒ $y=\sqrt{20-y}$
Squaring both sides,
⇒ $y^2=20-y$
⇒ $y^2+y-20=0$
⇒ $y^2+5y-4y-20=0$
⇒ $y(y+5)-4(y+5)=0$
⇒ $(y+5)(y-4)=0$
⇒ $y=-5$ and $y=4$
Hence, the correct answer is 4.

22 Views

Question : Directions: In a certain code language. MAPS is written as 49 and SOLD is written as 50. How will KIDS be written in that language?

Option 1: 45

Option 2: 44

Option 3: 42

Option 4: 43

Team Careers360 15th Jan, 2024

Correct Answer: 43


Solution : Given:
MAPS is written as 49 and SOLD is written as 50.

Add the positional value of letters to obtain the code –
MAPS; M→13; A→1; P→16; S→19
13 + 1 + 16 + 19 = 49
Thus, MAPS is coded as 49.
SOLD; S→19;

8 Views

Question : Select the most appropriate meaning of the underlined idiom that can be substituted in the following sentence.

Right now, my hands are full.

Option 1: My hands are filled up

Option 2: My hands are swollen

Option 3: l'm very tired

Option 4: I'm very busy

Team Careers360 13th Jan, 2024

Correct Answer: I'm very busy


Solution : The fourth option is correct.

When someone says my hands are full, it's an idiomatic expression used to convey that the person is occupied or busy with various tasks or responsibilities, to the extent that they have as much as they can

18 Views

Question : The Constitution forbids the employment of children below the age of________ years for dangerous jobs like factories and mines.

Option 1: 15

Option 2: 14

Option 3: 16

Option 4: 18

Team Careers360 21st Jan, 2024

Correct Answer: 14


Solution : The correct answer is 14.

The key legislation related to the employment of children in India is the "Child and Adolescent Labour (Prohibition and Regulation) Act, 1986" (often referred to as the Child Labour Act). This Act prohibits the employment of children below the age

15 Views

Question : Direction: In each of the following question, which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?

BR _ _ NB _ O _ NB

Option 1: OWOW

Option 2: RORO

Option 3: WNWN

Option 4: OWRW

Team Careers360 22nd Jan, 2024

Correct Answer: OWRW


Solution : Given:

BR _ _ NB _ O _ NB

We have to check the order of the letters in the given series.

To fill the series we have to divide the series, BR _ _ / NB _ O / _ NB.

So, the series

9 Views

Question : ________is a process in which natural rubber is treated with sulphur to make it more durable and elastic.

Option 1: Saponification

Option 2: Fermentation

Option 3: Vulcanisation

Option 4: Carbonation

Team Careers360 18th Jan, 2024

Correct Answer: Vulcanisation


Solution : The correct answer is Vulcanisation.

Vulcanisation is a process in which natural rubber is treated with sulphur to make it more durable and elastic. The vulcanisation process is done to enhance the properties of rubber, and it was discovered by Charles Goodyear.

10 Views

Question :  

Study the given graph and answer the question that follows.



What is the ratio of the total expenditure in 2015 and 2016 to the total revenue of the company in 2016 and 2018?

Option 1: 6 : 7

Option 2: 19 : 20

Option 3: 4 : 5

Option 4: 11 : 20

Team Careers360 17th Jan, 2024

Correct Answer: 4 : 5


Solution : According to the question
Total expenditure in 2015 and 2016 = 210 + 350 =  560
Total revenue in 2016 and 2018 =  320 + 380 = 700
Required ratio = $\frac{560}{700}$ =  $\frac{4}{5}$ = 4 : 5
Hence, the correct answer is

16 Views

Question : If $\tan x = –\frac{12}{5}$, where $x$ lies in the second quadrant, what is the value of $\sin x-\cot x$?

Option 1: $\frac{209}{156}$

Option 2: $\frac{169}{156}$

Option 3: $\frac{156}{209}$

Option 4: $\frac{144}{169}$

Team Careers360 23rd Jan, 2024

Correct Answer: $\frac{209}{156}$


Solution : In the second quadrant, $\sin x$ and $\operatorname{cosec x}$ are positive.
$\tan x = –\frac{12}{5}$
$⇒\cot x=\frac{1}{\tan x}=-\frac{5}{12}$
We know, $\sec^2x -\tan^2x=1$
$⇒\sec^2x=1+(–\frac{12}{5})^2$
$⇒\sec^2x=1+\frac{144}{25}$
$⇒\sec^2x=\frac{169}{25}$
$⇒ \sec x=\frac{13}{5}$
$⇒\cos x = \frac{5}{13}$
$\therefore\sin x = \sqrt{1-\cos^2x}=\sqrt{1-\frac{25}{169}}=\frac{144}{169}=\frac{12}{13}$
$\sin x - \cot x = \frac{12}{13} – (-\frac{5}{12})

26 Views

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

Authentic

Option 1: Genuine

Option 2: False

Option 3: Doubtful

Option 4: Corrupt

Team Careers360 23rd Jan, 2024

Correct Answer: Genuine


Solution : The correct option is the first option.

In the context of the word authenticgenuine is the most appropriate synonym because it closely aligns with the meaning of authentic, which means genuine, real, or true. It refers to something that is not a

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