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12 Views

Question : If $\left(x+\frac{1}{x}\right)=10$, what is the value of $\left(x^4+\frac{1}{x^4}\right)?$

Option 1: 9604

Option 2: 9602

Option 3: 9600

Option 4: 9606

Team Careers360 25th Jan, 2024

Correct Answer: 9602


Solution : Given:
$\left(x+\frac{1}{x}\right)=10$
Squaring both sides, we get:
⇒ $(x+\frac{1}{x})^2=10^2$
⇒ $x^2+\frac{1}{x^2}=100-2 = 98$
Squaring both sides, we get:
⇒ $(x^2+\frac{1}{x^2})^2=98^2$
⇒ $x^4+\frac{1}{x^4}=9604-2$
$\therefore x^4+\frac{1}{x^4}=9602$
Hence, the correct answer is 9602.

15 Views

Question : Each interior angle of a regular polygon is $18^{\circ}$ more than eight times an exterior angle. The number of sides of the polygon is:

Option 1: 10

Option 2: 15

Option 3: 20

Option 4: 25

Team Careers360 22nd Jan, 2024

Correct Answer: 20


Solution : The sum of the exterior angles of a polygon = $360^{\circ}$
Let the number of sides of the regular polygon be $n$.
Each exterior angle = $\frac{360^\circ}{n}$
Each interior angle = $\frac{(n-2)\times 180^\circ}{n}$
According to the question,
$\frac{360^\circ}{n}\times 8 + 18^\circ=\frac{(n-2)\times 180^\circ}{n}$
⇒ $2880 +

19 Views

Question : ' Do or Die 'is the famous slogan given by 

Option 1: Mahatma Gandhi .

Option 2: Vallabh Bhai Patel.

Option 3: Jawaharlal. Nehru.

Option 4: Rajiv Gandhi.

Team Careers360 25th Jan, 2024

Correct Answer: Mahatma Gandhi .


Solution : Correct Answer is Mahatma Gandhi .

The following day, the British government detained Gandhi, Nehru, and numerous other leaders of the Indian National Congress.Unorderly and non-violent protests erupted across the country in the days that followed.Gandhi famously said, "We shall either free India

238 Views

Question : By selling an article for Rs. 1,134, Anu suffers as much loss as she would have gained by selling it at a 10% profit. If she sells it for Rs. 1,354.50, then her profit percentage is:

Option 1: 9%

Option 2: 8%

Option 3: 7.5%

Option 4: 8.4%

Team Careers360 24th Jan, 2024

Correct Answer: 7.5%


Solution : Let the cost price of the article as C.
According to the problem, Anu suffered as much loss by selling the article for Rs. 1,134 as she would have gained by selling it at a 10% profit.
⇒ C = 1134 × $\frac{100}{90}$
⇒ C

10 Views

Question : Select the option that will improve the underlined part of the given sentence. In case no improvement is needed, select 'No improvement required'.

He pays me six dollars the month of this house.

Option 1: No improvement required

Option 2: an month for these

Option 3: a month over this

Option 4: a month for this

Team Careers360 21st Jan, 2024

Correct Answer: a month for this


Solution : The correct option is the fourth option.

Explanation:
In this context, a month for this is the appropriate phrase to indicate the payment frequency and the purpose of the payment (for the house).

Therefore, the correct sentence would be: "He pays me

12 Views

Question : The stagnant water at the bottom of a lake is called.

Option 1: Epilimnion

Option 2: Mesolimnion

Option 3: Metalimnion

Option 4: Hypolimnion

Team Careers360 25th Jan, 2024

Correct Answer: Hypolimnion


Solution : The correct option is Hypolimnion.

The stagnant water at the bottom of a lake is often known as the Hypolimnion. It is the warmest, and most well-mixed layer. Below the Epilimnion is a transitional layer called the Metalimnion or Thermocline. The lowermost layer, beneath

17 Views

Question : Which state recorded the lowest literacy rate in the 2011 census?

Option 1: Bihar

Option 2: Maharashtra

Option 3: Arunachal Pradesh

Option 4: Kerala

Team Careers360 23rd Jan, 2024

Correct Answer: Bihar


Solution : The correct answer is Bihar.

According to the 2011 census, the literacy rate of Bihar is 61.8%, which is the lowest in the states and union territories. The male literacy rate in Bihar is 71.20%, and the female literacy rate is 51.50%. The literacy rate

20 Views

Question : Directions: The following chart represents Demand and Production for 5 companies A, B, C, D, and E. Based on the graph answer the questions.

The ratio of the number of companies having more demand than production to those having more production than demand is:

Option 1: 4 : 1

Option 2: 2 : 2

Option 3: 3 : 2

Option 4: 2 : 3

Team Careers360 22nd Jan, 2024

Correct Answer: 3 : 2


Solution : As per the graph,
The number of companies having more demand than production = 3 companies
The number of companies having more production than demand = 2 companies
The required ratio = The number of companies having more demand than production : The

11 Views

Question : Select the option that can be used as a one-word substitute for the given group of words.
A speech by an actor at the end of a play.

Option 1: Prologue

Option 2: Monologue

Option 3: Epilogue

Option 4: Duologue

Team Careers360 22nd Jan, 2024

Correct Answer: Epilogue


Solution : The correct choice is the third option.

In the context of a play, an epilogue is a speech that occurs at the end of the play, making it the most suitable one-word substitute for a speech by an actor at the end of a play.

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