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27 Views

Question : The mean proportional of 0.04 and 0.36 is:

Option 1: 0.144

Option 2: 1.2

Option 3: 12

Option 4: 0.12

Team Careers360 24th Jan, 2024

Correct Answer: 0.12


Solution : Mean proportional of 0.04 and 0.36
= $\sqrt{0.04 × 0.36}$
= 0.12
Hence, the correct answer is 0.12.

13 Views

Question : If $(x^2-2x+1)=0$, then the value of $x^4+\frac{1}{x^4}$ is:

Option 1: 0

Option 2: 1

Option 3: 2

Option 4: 3

Team Careers360 24th Jan, 2024

Correct Answer: 2


Solution : Given: $(x^2-2x+1)=0$
⇒ $x^2+1=2x$
Divide the given equation by $x$ on both sides, we get,
⇒ $x+\frac{1}{x}=2$
On squaring the above equation on both sides, we get,
⇒ $x^2+\frac{1}{x^2}+2=4$
⇒ $x^2+\frac{1}{x^2}=2$
On squaring the above equation on both sides, we get,
⇒ $(x^2+\frac{1}{x^2})^2=2^2$
⇒ $(x^4+\frac{1}{x^4})+2=4$

13 Views

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

FLEXIBLE

Option 1: elastic

Option 2: ductile

Option 3: pliable

Option 4: rigid

Team Careers360 24th Jan, 2024

Correct Answer: rigid


Solution : The correct choice is the fourth option.

Flexible is used to describe something that can easily be bent.

Rigid is something that does not lose its shape, even with the application of force. This makes it the correct antonym of the given word.

The

16 Views

Question : If $\frac{8+2 \sqrt{3}}{3 \sqrt{3}+5}=a \sqrt{3}–b$, then the value of $a + b$ is equal to:

Option 1: 18

Option 2: 15

Option 3: 24

Option 4: 16

Team Careers360 23rd Jan, 2024

Correct Answer: 18


Solution : Given: $\frac{8+2 \sqrt{3}}{3 \sqrt{3}+5}=a \sqrt{3}–b$
Rationalize the given fraction,
$\frac{(8+2 \sqrt{3})\times(3\sqrt3–5)}{(3 \sqrt{3}+5)\times (3\sqrt3–5)}=\frac{24\sqrt3–40+18–10\sqrt3}{27–25}$
⇒ $\frac{14\sqrt3–22}{2}=7\sqrt3–11$
Now, compare the value with the given expression $a \sqrt{3}–b$, we get,
$7\sqrt3–11=a \sqrt{3}–b$
⇒ $a=7,b=11$
The value of $a + b=7+11=18$.
Hence, the correct answer is 18.

24 Views

Question : Direction: In the following questions, identify the diagram that best represents the relationship among the classes given below.

Profit, Dividend, Bonus

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 24th Jan, 2024

Correct Answer:


Solution : Both bonuses and dividends are a part of profits. But, bonuses and dividends are not related to each other in any way.

So, All bonuses are profits; All dividends are profits; No bonuses are dividends.

Based on the above statements, the Venn diagram will be

Hence,

41 Views

Question : Directions: In a certain code language. RESENT is written as TGUCLR and PEOPLE is written as RGQNJC. How is PERSON written in the given language?

Option 1: RGTQML

Option 2: RGTQMP

Option 3: RGSUQL

Option 4: RGTUQP

Team Careers360 23rd Jan, 2024

Correct Answer: RGTQML


Solution : Given:
RESENT is written as TGUCLR and PEOPLE is written as RGQNJC

Add 2 to the positional values of the first three letters and subtract 2 from the positional values of the last three letters.
RESENT→R + 2 = T; E + 2 = G;

13 Views

Question : Directions: Three of the following four-letter clusters are alike in a certain way and one is different. Pick the odd one out.

Option 1: OQS

Option 2: JLN

Option 3: HJL

Option 4: MCP

Team Careers360 23rd Jan, 2024

Correct Answer: MCP


Solution : Let's check the options –

First option: OQS→O + 2 = Q; Q + 2 = S
Second option: JLN→J + 2 = L; L + 2 = N
Third option: HJL→H + 2 = J; J + 2 = L
Fourth option: MCP→M –

27 Views

Question : Find the part of the given sentence that has an error in it. If there is no error, choose 'No error'.

Democrats are often more receptive and accommodating of foreign people and cultures.

Option 1: No error

Option 2: Democrats are often more receptive

Option 3: foreign people and cultures.

Option 4: and accommodating of

Team Careers360 23rd Jan, 2024

Correct Answer: and accommodating of


Solution : The correct choice is the fourth option.

It should be "accommodating to", as "accommodating to someone" means to be willing to please someone. This helps convey the intended meaning that Democrats are more willing to please foreign people and cultures.

Therefore, the correct

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