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15 Views

Question : If $\tan 2 \theta=\cot \left(\theta-36^{\circ}\right)$, where $2 \theta$ is an acute angle, then the value of $\theta$ is:

Option 1: 18°

Option 2: 36°

Option 3: 30°

Option 4: 42°

Team Careers360 25th Jan, 2024

Correct Answer: 42°


Solution : Given, $\tan 2 \theta=\cot \left(\theta-36^{\circ}\right)$
⇒ $\tan 2 \theta=\tan \left(90^{\circ}-\theta+36^{\circ}\right)$
⇒ $2\theta=126^{\circ}-\theta$
⇒ $3\theta=126^{\circ}$
$\therefore \theta=42^{\circ}$
Hence, the correct answer is 42°.

13 Views

Question : The World Trade Organisation was formed in:

Option 1: 1991

Option 2: 1995

Option 3: 1997

Option 4: 1999

Team Careers360 25th Jan, 2024

Correct Answer: 1995


Solution : The correct answer is 1995.

An intergovernmental body called the World Trade Organisation governs and promotes global trade. On April 15, 1994, 23 countries signed the Marrakesh Agreement, which established the World Trade Organisation (WTO) as of January 1, 1995. Geneva, Switzerland, the location

21 Views

Question : Directions: In the following question, select the related number from the given alternatives.
42 : 56 :: 110 : ?

Option 1: 18

Option 2: 132

Option 3: 136

Option 4: 140

Team Careers360 25th Jan, 2024

Correct Answer: 132


Solution : Given:
42 : 56 :: 110 : ?

7 × (7 – 1) = 7 × 6 = 42
7 × (7 + 1) = 7 × 8 = 56

Similarly, 11 × (11 – 1) = 11 × 10 = 110
11 × (11

13 Views

Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".

I left my job because I did not (agree to) the company's appraisal policies.

(1) agree about

(2) agree with

(3) agree on

(4) No Improvement

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 25th Jan, 2024

Correct Answer: 2


Solution : The appropriate answer is the second option because 'agree with' should be used instead of 'agree to' which means 'to accept a suggestion' and makes the sentence contextually correct.

Therefore, the correct statement should be "I left my job because I did not agree with

19 Views

Question : If the sum of squares of two real numbers is 12 and the product of the numbers is 4, find the difference between the numbers.

Option 1: 4

Option 2: 8

Option 3: 1

Option 4: 2

Team Careers360 25th Jan, 2024

Correct Answer: 2


Solution : Given:
The sum of squares of two numbers = 12
Product of the numbers = 4
Let the numbers be $a$ and $b$.
⇒ $a^2+b^2=12$ and $ab = 4$
We know, $(a-b)^2=a^2+b^2-2ab$
⇒ $(a-b)^2=12-2\times4$
⇒ $(a-b)^2=12-8$
⇒ $(a-b)^2=4$
⇒ $a-b=\sqrt4=2$
Hence, the correct answer is

40 Views

Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution required'.

It is reported that she has win a prize money of ten lakhs at a reality show.

Option 1: she will won

Option 2: she had win

Option 3: No substitution required

Option 4: she has won

Team Careers360 25th Jan, 2024

Correct Answer: she has won


Solution : The correct choice is the fourth option.

The original sentence contains a verb-tense error. In this context, the past participle form has won should be used to indicate that she has already won the prize money.

Therefore, the correct sentence is: It is

13 Views

Question :

Directions: In the following question, select the related word from the given alternatives.
Jailor : Prison :: Curator : ?

Option 1: Cell

Option 2: Museum 

Option 3: Warden 

Option 4: Cure 

Team Careers360 25th Jan, 2024

Correct Answer: Museum 


Solution : Given:
Jailor : Prison :: Curator : ?

The jailor is the custodian of prisoners in prison.
Similarly, the curator is the custodian of the collections in a museum.

Hence, the second option is correct.

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