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Question : If $x=2-2^{\frac{1}{3}}+2^{\frac{2}{3}}$, then find the value of $x^3-6 x^2+18 x$.

Option 1: 40

Option 2: 33

Option 3: 45

Option 4: 22

Team Careers360 25th Jan, 2024

Correct Answer: 22


Solution : $x=2-2^{\frac{1}{3}}+2^{\frac{2}{3}}$
⇒ $(x-2) = (2^{\frac{2}{3}}-2^{\frac{1}{3}})$
Cubing both sides,
⇒ $(x-2)^3 = (2^{\frac{2}{3}}-2^{\frac{1}{3}})^3$
⇒ $x^3 - 6x^2 +12x-8 = 2^2 -3 × 2^{\frac{2}{3}} × 2^{\frac{1}{3}}(2^{\frac{2}{3}}-2^{\frac{1}{3}}) - 2$
⇒ $x^3 - 6x^2 +12x-8 = 4 - 3 × 2(x-2) - 2$
⇒ $x^3 - 6x^2 + 12x

24 Views

Question : Who among the following was conferred with the Padma Shri Award in 2021 for populating folk dance in rural Karnataka, Tamil Nadu, and Andhra Pradesh?

Option 1: Annavarapu Rama Swamy

Option 2: Anitha Pauldurai

Option 3: Pappammal

Option 4: Manjamma Jogathi

Team Careers360 22nd Jan, 2024

Correct Answer: Manjamma Jogathi


Solution : The correct answer is Manjamma Jogathi.

Manjamma Jogathi, a transgender folk dancer, received the Padma Shri Award from President Ram Nath Kovind at Rashtrapati Bhavan. Manjamma Jogathi is a trans folk dancer from the Jogamma lineage and the first transgender president of the Karnataka

17 Views

Question : During which dynasty the Mahabalipuram temple was constructed?

Option 1: Gupta Dynasty

Option 2: Pallava Dynasty

Option 3: Chola Dynasty

Option 4: Chalukya Dynasty

Team Careers360 22nd Jan, 2024

Correct Answer: Pallava Dynasty


Solution : The correct answer is the Pallava Dynasty.

The Shore Temple in Mahabalipuram, built during the reign of Pallava King Rajasimha, is Southern India's earliest significant structural temple. It marks the Pallavas' introduction to stone architecture. Mahabalipuram was a renowned Pallava port city on

11 Views

Question : In leaves, transpiration takes place through ______.

Option 1: stomata

Option 2: cork cell

Option 3: epidermal cell

Option 4: guard cells

Team Careers360 25th Jan, 2024

Correct Answer: stomata


Solution : The correct option is stomata.

In leaves, transpiration takes place primarily through tiny pores called stomata. Stomata are specialised openings found on the surface of leaves (and some stems) that allow for the exchange of gases, including the release of water vapour.

12 Views

Question : Select the most appropriate meaning of the given idiom.

Buy a lemon

Option 1: Wear fashionable clothing.

Option 2: The ability to know what's happening.

Option 3: To not complain.

Option 4: To buy something that is worthless.

Team Careers360 23rd Jan, 2024

Correct Answer: To buy something that is worthless.


Solution : The correct choice is the fourth option.

The idiom buy a lemon typically means purchasing an item, usually a product like a car, that turns out to be defective, unsatisfactory, or of poor quality despite appearing good at the

12 Views

Question : Choose the word that is opposite in meaning to the given word.

Contempt

Option 1: Approbation

Option 2: Odium

Option 3: Opprobrium

Option 4: Obloquy

Team Careers360 22nd Jan, 2024

Correct Answer: Approbation


Solution : The correct choice is the first option.

Contempt refers to a feeling of disdain, scorn, or strong disapproval.

Approbation denotes approval, praise, or commendation. While "contempt" conveys a negative and disapproving sentiment, "approbation" represents a positive and approving attitude.

The meanings of the other options

2 Views

Question : Who among the following journalists shared the Chameli Devi Jain Award for Outstanding Woman Journalist 2020 with Arfa Khanum Sherwani?

Option 1: Barkha Dutt

Option 2: Nidhi Razdan

Option 3: Sweta Singh

Option 4: Rohini Mohan

Team Careers360 23rd Jan, 2024

Correct Answer: Rohini Mohan


Solution : The correct answer is Rohini Mohan.

The Chameli Devi Jain Award for Outstanding Women Media Person, 2019, was jointly presented to Arfa Khanum Sherwani, senior editor at The Wire and freelance journalist Rohini Mohan on October 12. Arfa Khanum Sherwani received recognition for

55 Views

Question : A and B can finish a work in 10 days, B and C can finish it in 12 days and C and A can finish in 6 days. In how many days A alone can finish the work?

Option 1: $\frac{120}{9}$

Option 2: $12$

Option 3: $\frac{120}{11}$

Option 4: $\frac{121}{12}$

Team Careers360 22nd Jan, 2024

Correct Answer: $\frac{120}{11}$


Solution : Time taken by A and B to do the work = 10 days
Let the work done by A, B, and C in a day be a, b and c units, respectively.
Work done by A and B together in a day = $\frac{1}{10}$

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