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25 Views

Question : Select the INCORRECTLY spelt word.

Option 1: Refusal

Option 2: Wajes

Option 3: Stretch

Option 4: Wearily

Team Careers360 19th Jan, 2024

Correct Answer: Wajes


Solution : The correct answer is the second option.

The incorrectly spelled word is "wajes". The correct spelling should be "wages", which means the financial compensation that an employer provides to an employee.

The meanings of the other words are as follows:

Refusal: It is a noun

14 Views

Question : Select the most appropriate option to improve the underlined segment in the given sentence. If there is no need to improve it, select ‘No improvement required’.

This mango tree yields lot of mangoes every year.

Option 1: a lot of

Option 2: No improvement required

Option 3: a lot

Option 4: the lot of

Team Careers360 24th Jan, 2024

Correct Answer: a lot of


Solution : The correct choice is the first option.

Explanation: "A lot of" is a phrase used to denote a large quantity or number of something. In the sentence "This mango tree yields a lot of mangoes every year", the phrase "a lot of"

15 Views

Question : If $\frac{22 \sqrt{2}}{4 \sqrt{2}-\sqrt{3+\sqrt{5}}}=a+\sqrt{5} b$, with $a, b>0$, then what is the value of $(a b):(a+b)$?

Option 1: 7 : 8

Option 2: 7 : 4

Option 3: 4 : 7

Option 4: 8 : 7

Team Careers360 13th Jan, 2024

Correct Answer: 7 : 8


Solution : Given: $\frac{22 \sqrt{2}}{4 \sqrt{2}-\sqrt{3+\sqrt{5}}}=a+\sqrt{5} b$
Multiplying and dividing the number $\sqrt{3+\sqrt5}$ by $\sqrt2$
⇒ $\frac{22 \sqrt{2}}{4 \sqrt{2}-(\frac{\sqrt2(\sqrt{3+\sqrt{5})}}{2})}=a+\sqrt{5} b$
⇒ $\frac{22 \sqrt{2}}{4 \sqrt{2}-(\frac{\sqrt{6+2\sqrt{5}}}{2})}=a+\sqrt{5} b$
$\because (\sqrt{5}+1)^2=6+2\sqrt5$
⇒ $\frac{22 \sqrt{2}}{4 \sqrt{2}-(\frac{\sqrt{(\sqrt{5}+1)^2}}{2})}=a+\sqrt{5} b$
⇒ $\frac{22 \sqrt{2}}{4 \sqrt{2}-(\frac{\sqrt{5}+1)}{\sqrt2})}=a+\sqrt{5} b$
⇒ $\frac{22 \sqrt{2}}{(\frac{4 \sqrt{2}\times\sqrt 2-\sqrt{5}-1)}{\sqrt2})}=a+\sqrt{5} b$
⇒ $\frac{22

38 Views

Question : What is the least number that can be multiplied by 69120 to make it a perfect cube?

Option 1: 10

Option 2: 50

Option 3: 25

Option 4: 5

Team Careers360 12th Jan, 2024

Correct Answer: 25


Solution : Prime factorization of $69120 = 2^9 × 3^3 × 5$
For the number to be a perfect cube, all the exponents must be multiples of 3, thus the above number must be multiplied by $5^2=25$
Hence, the correct answer is 25.

111 Views

Question : Select the most appropriate word for the given group of words.

A person who has money, especially invested in business

Option 1: Industrialist

Option 2: Minimalist

Option 3: Capitalist

Option 4: Leftist

Team Careers360 24th Jan, 2024

Correct Answer: Capitalist


Solution : The correct choice is the third option.

Explanation: The term capitalist functions as a noun and specifically denotes an individual who possesses wealth, particularly with investments in businesses. The grammatical structure aligns with the context of describing a person with financial resources engaged in

14 Views

Question : Directions: Pointing towards a photo of a lady, Bhim said, “She is the only sister of my mother’s son”. How that lady is related to Bhim?

Option 1: Paternal Grandmother

Option 2: Niece

Option 3: Daughter

Option 4: Sister

Team Careers360 21st Jan, 2024

Correct Answer: Sister


Solution : Following the instructions of the question, the family tree will be –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

So, the lady is the sister of Bhim. Hence, the fourth option is correct.

20 Views

Question : If $\sin \theta=\frac{1}{2}$, then the value of $\left(3 \cos \theta-4 \cos ^3 \theta\right)$ is:

Option 1: 0

Option 2: 1

Option 3: 2

Option 4: – 1

Team Careers360 21st Jan, 2024

Correct Answer: 0


Solution : Given, $\sin \theta=\frac{1}{2}$
⇒ $\theta = 30^\circ$
Now, $\left(3 \cos \theta-4 \cos ^3 \theta\right)=-\cos 3\theta$ 
⇒ $\left(3 \cos \theta-4 \cos ^3 \theta\right)=-\cos 90^\circ$ 
⇒ $\left(3 \cos \theta-4 \cos ^3 \theta\right)=0$ 
Hence, the correct answer is 0.

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