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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
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.
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
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 +
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.
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
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%
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
Question : Directions: In the given question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
There were no buses yesterday because of the strike, and so I ______walk to college.
Option 1: should
Option 2: have to
Option 3: had to
Option 4: will have to
Correct Answer: had to
Solution : The correct choice is the third option.
"Had to" is the simple past tense and past particle of "have to" and is the correct choice in this context, as it helps convey the intended meaning that the subject (I) had to walk as
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
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
Question : The stagnant water at the bottom of a lake is called.
Option 1: Epilimnion
Option 2: Mesolimnion
Option 3: Metalimnion
Option 4: Hypolimnion
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
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
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
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
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
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
Correct Answer: Epilogue
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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