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Question : If $a+\frac{1}{a}=3$, then the value of $a^4+\frac{1}{a^4}$ is:

Option 1: 48

Option 2: 81

Option 3: 27

Option 4: 47

Team Careers360 22nd Jan, 2024

Correct Answer: 47


Solution : Given, $(a + \frac{1}{a})$ = 3
Squaring both sides, we get,
$(a + \frac{1}{a})^2 = (3)^2$
⇒ $a^2 + \frac{1}{a^2} + 2 = 9$
⇒ $a^2 + \frac{1}{a^2} = 7$
Squaring both sides,
⇒ $a^4 + \frac{1}{a^4} + 2 = 49$
$\therefore a^4 + \frac{1}{a^4}$

130 Views

Question : Directions: Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term.
5 : 150 :: 6 : ? :: 8 : 576

Option 1: 252

Option 2: 255

Option 3: 225

Option 4: 222

Team Careers360 16th Jan, 2024

Correct Answer: 252


Solution : Given:
5 : 150 :: 6 : ? :: 8 : 576

Add the square and cube of the first number to get the second number –
Like, 5 : 150→5+ 5= 125 + 25 = 150
And, 8 : 576→8

19 Views

Question : Who among the following Indians served as president of the International Court of Justice?

Option 1: Justice Nagendra Singh

Option 2: Justice M Katju

Option 3: Justice Y V Chandrachud

Option 4: Justice J S Khehar

Team Careers360 25th Jan, 2024

Correct Answer: Justice Nagendra Singh


Solution : The correct answer is Justice Nagendra Singh.

From 1985 to 1988, the International Court of Justice was presided over by Indian attorney and administrator Justice Nagendra Singh. The International Court of Justice, which has its main office in The Hague, the Netherlands,

22 Views

Question : Comprehension:

Read the following passage and answer the questions.

This year, I celebrated twenty-five years with a Seeing Eye dog. When I came to "The Seeing Eye' in 1983, I had no idea how much my canine partner would do for me. I can well remember walking down a country road independently, with a light step and joy in my heart, knowing that Novel- my first Seeing Eye dog- would keep me safe.

Since that glorious beginning, my dogs have seen me through two university degrees while living in four different cities in Canada and the United States. These competent and loving guides have shown me amazing skills - keeping me safe from traffic, fallen trees, new places and a host of unseen dangers. I have acquired self-confidence and a faith that anything is possible with my dog at my side. Over the years, my dogs have always been a source of pride and pleasure for me, and I brag about them to my family and friends.

Today, the way young Rambo manoeuvres me through the rush-hour traffic is wonderful. But it is all those little things like finding a table at a restaurant, finding empty cubicles at the physical therapy clinic where I work, that can mean so much more. Rambo is my sixth guide who arrived in June 2008 after Ruskin left me. He has already established himself in my heart. He is guiding me through another chapter in my life. I wish to thank all my friends at 'The Seeing Eye' for the support they have offered me over the years. I also thank them for being like family, most importantly, being there to train these furry soul-mates so well!

Question:

Which of these statements is NOT true?

Option 1: The narrator is grateful to “The Seeing Eye’ organisation.

Option 2: The narrator is visually impaired.

Option 3: The narrator is undergoing physical therapy.

Option 4: The narrator holds two university degrees.

Team Careers360 14th Jan, 2024

Correct Answer: The narrator is undergoing physical therapy.


Solution : The correct choice is the third option.

Explanation:
Since there is no explicit mention that the narrator is undergoing physical therapy. The text indicates that the narrator works at a physical therapy clinic, mentioning finding empty cubicles there. This implies

11 Views

Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.

 

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 19th Jan, 2024

Correct Answer:


Solution : Here the pattern is as follows — 
1. In each box number of squares given at the top of the box is increased by one.
2. In each box number of circles given at the bottom of the box is decreased by one.
The following figure

11 Views

Question : Who among the following has been chosen as the male goalkeeper of the year by the International Hockey Federation (FIH) 2021-22?

Option 1: P. R. Sreejesh

Option 2: Mumtaz Khan

Option 3: Pirmin Blaak

Option 4: Arthur Thieffry

Team Careers360 23rd Jan, 2024

Correct Answer: P. R. Sreejesh


Solution : The correct option is P. R. Sreejesh.

P. R. Sreejesh is the chosen male goalkeeper of the year. He is the only Indian to receive this accolade. The International Hockey Federation (FIH) is the global governing body for the sport of field

17 Views

Question : Find $\frac{1}{21}$th of the volume of a hemisphere whose radius is 4.2 m.

Option 1: 6.6 m3

Option 2: 7.3 m3

Option 3: 8.2 m3

Option 4: 7.1 m3

Team Careers360 16th Jan, 2024

Correct Answer: 7.3 m3


Solution : Radius, $r$ = 4.2 m
Volume of the hemisphere = $\frac{2}{3} \pi r^3$
= $\frac{2}{3}×\frac{22}{7}×4.2^3$
= 2 × 22 × 0.2 × 4.2 × 4.2
= 155.232
So, $\frac{1}{21}$th of the volume of the hemisphere
= $\frac{155.232}{21}$
= 7.3 m3
Hence, the

11 Views

Question : Who was appointed as the new Director General of the National Investigation Agency (NIA) in June 2022?

Option 1: Dinkar Gupta

Option 2: Anshul Mishra

Option 3: Yashwant Sonawane

Option 4: Kiran Bedi

Team Careers360 22nd Jan, 2024

Correct Answer: Dinkar Gupta


Solution : The correct option is Dinkar Gupta.

Dinkar Gupta, a former Punjab Police head and 1987 batch Indian Police Service (IPS) officer, has been named Director General of the National Investigation Agency (NIA). Gupta's appointment as the head of the NIA until his retirement on

8 Views

Question : Find the part of the given sentence that has an error in it. If there is no error, choose 'No Error'.
Adding aloe vera gel will prevent the hand sanitiser of drying out your skin.

Option 1: No Error

Option 2: drying out your skin

Option 3: will prevent the hand sanitiser of

Option 4: Adding aloe vera gel

Team Careers360 22nd Jan, 2024

Correct Answer: will prevent the hand sanitiser of


Solution : The correct choice is the third option.

The correct preposition to use after prevent is from, so it should be "prevent the hand sanitiser from drying out your skin". "Prevent from" is the standard construction when talking about avoiding a

11 Views

Question : Ketan and Kunal can complete a job together in 7 days. Kunal is $\frac{7}{4}$ times as efficient as Ketan. In how many days can Kunal alone complete the job?

Option 1: 12 days

Option 2: 14 days

Option 3: 10 days

Option 4: 11 days

Team Careers360 19th Jan, 2024

Correct Answer: 11 days


Solution : Given: Kunal = $\frac{7}{4}$ of ketan
Efficiency of Kunal : Efficiency of ketan = 7 : 4
Total Efficiency = (7 + 4) = 11
Total work = Efficiency × Number of days = 11 × 7 = 77
Now, Kunal's efficiency = 7

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