It's a Question of your Career!

1 Million+

Questions

50k +

Active Users

24hrs max.

Answering Time

Showing 25321 - 25330 out of 57914 Questions
13 Views

Question : If $a=\frac{1}{a - 5}(a>0)$, then the value of $a+\frac{1}{a}$ is:

Option 1: $\sqrt{29}$

Option 2: $–\sqrt{27}$

Option 3: $-\sqrt{29}$

Option 4: $\sqrt{27}$

Team Careers360 20th Jan, 2024

Correct Answer: $\sqrt{29}$


Solution : Given: $a=\frac{1}{a-5}(a>0)$
⇒ $a^{2}-5a=1$
Dividing both sides by $a$ we have,
⇒ $a - 5=\frac{1}{a}$
⇒ $a-\frac{1}{a}=5$
We know that: $(a+\frac{1}{a})^{2}-(a-\frac{1}{a})^{2}=4$
⇒ $(a+\frac{1}{a})^{2}-(5)^{2}=4$
⇒ $(a+\frac{1}{a})^{2}=25+4$
$\therefore(a+\frac{1}{a})=\sqrt{29}$
Hence, the correct answer is $\sqrt{29}$.

14 Views

Question : Select the most appropriate meaning of the bracketed idiom in the given sentence.
After repeated failures and disappointments he was tempted (to throw up the sponge), but continued perseverance finally brought success.

Option 1: To catch somebody of guard

Option 2: To surrender or give up the contest

Option 3: To reveal secret information

Option 4: To be afraid

Team Careers360 19th Jan, 2024

Correct Answer: To surrender or give up the contest


Solution : The second option is the correct choice.

The idiom to throw up the sponge is an expression that means to give up, surrender, or quit a contest or endeavour.

In the context of the sentence, the individual was tempted

12 Views

Question : If $A=30^{\circ}$, then find the value of $\frac{(2 \tan A)}{\left(1-\tan^2 A\right)}$.

Option 1: $4 \sqrt{3}$

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

Option 3: $3$

Option 4: $2 \sqrt{3}$

Team Careers360 18th Jan, 2024

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


Solution : Given: $A=30^{\circ}$
And we know, $\tan 30° = \frac{1}{\sqrt3}$
So, $\frac{(2 \tan A)}{\left(1-\tan ^2 A\right)}$
$= \frac{2\tan 30°}{1-\tan^2 30°}$
$= \frac{2\times \frac{1}{\sqrt3}}{1-\frac{1}{3}} = \frac{2\times 3}{2\times \sqrt3} = \frac{3}{\sqrt 3}$
Hence, the correct answer is $\frac{3}{\sqrt3}$.

37 Views

Question : Which was the tallest of all Medieval Indian Temple ?

Option 1: Kailasa Temple

Option 2: Sun Temple at Konark

Option 3: Nilkantheswara Temple at Udaipur 

Option 4: Brihadeswara Temple at Tanjore 

Team Careers360 21st Jan, 2024

Correct Answer: Brihadeswara Temple at Tanjore 


Solution : Correct Answer is Brihadeswara Temple at Tanjore 

Brihadishvara Temple, also known as Rajarajesvaram by its architect, was built in the Chola architectural style. It contained the gopura, the main temple's enormous tower, and inscriptions primarily pertaining to Shaivism but also to Vaishnavism

21 Views

Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.

Jyoti refused to be _________ by her long illness.

Option 1: dispersed

Option 2: dispensed

Option 3: dispatched

 

Option 4: dispirited

Team Careers360 22nd Jan, 2024

Correct Answer: dispirited


Solution : The correct answer is in option four.

The correct sentence is: "Jyoti refused to be dispirited by her long illness."

Dispirited means lacking courage or enthusiasm. In this context, it means that Jyoti refused to let her illness bring her down. She remained positive and

11 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".

Reyansh (gave) most of his time to music.

(1) devoted

(2) spent

(3) lent

(4) No Improvement

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 24th Jan, 2024

Correct Answer: 1


Solution : The correct choice is the first option.

Devoted implies a strong commitment or dedication to something. In the context of the sentence, it suggests that Reyansh is committed to spending a significant amount of time on music.

The meanings of the other options are as

15 Views

Question : The length of a side of a square inscribed in a circle is $a\sqrt2$ units. The circumference of the circle is:

Option 1: $2\pi a$ units

Option 2: $\pi a$ units

Option 3: $4\pi a$ units

Option 4: $\frac{2a}{\pi}$ units

Team Careers360 16th Jan, 2024

Correct Answer: $2\pi a$ units


Solution :
Given, Side of a square = AB = $\sqrt2 a$ units
We know, the length of the diagonal of a square = $\sqrt2\times$ side
⇒ AC = Diagonal = $\sqrt2 × \sqrt2 a=2a$ units = Diameter of the circle, $d$
$\therefore$ Circumference of

17 Views

Question : Directions: Ravi had five subjects in his final examination. The maximum marks in each subject are 100. If his percentage in four subjects is 80, and he scores 65 marks in the fifth subject, determine his overall percentage for the five subjects.

Option 1: 0.78

Option 2: 0.79

Option 3: 0.77

Option 4: 0.76

Team Careers360 24th Jan, 2024

Correct Answer: 0.77


Solution : Given:
Total number of Subjects→5
Maximum marks in each subject→100
% scored by Ravi in 4 subjects = 80%
Marks scored by Ravi in the 5th subject = 65

From the given information –
Maximum marks in all 5 subjects = 100 × 5 =

The question have been saved in answer later, you can access it from your profile anytime. Access now