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Question : If $a^2+b^2+c^2=14$ and $a+b+c=6$, then the value of $(ab+bc+ca)$ is:

Option 1: 11

Option 2: 12

Option 3: 13

Option 4: 14

Team Careers360 23rd Jan, 2024

Correct Answer: 11


Solution : Given: $a^2+b^2+c^2=14$ and $a+b+c=6$.
On squaring the given equation $a+b+c=6$, we get,
$(a+b+c)^2=6^2$
⇒ $a^2+b^2+c^2+2(ab+bc+ca)=36$
Substitute the value of $a^2+b^2+c^2=14$ in the above equation and we get,
⇒ $14+2(ab+bc+ca)=36$
⇒ $2(ab+bc+ca)=22$
⇒ $(ab+bc+ca)=11$
Hence, the correct answer is 11.

10 Views

Question : Which one of the following Indian film actors has been conferred the Honorary Doctorate in Arts and Culture by Bedfordshire University , London?

Option 1: Amir Khan

Option 2: Anil Kapoor

Option 3: Amitabh Bachchan 

Option 4: Shah Rukh Khan

Team Careers360 25th Jan, 2024

Correct Answer: Shah Rukh Khan


Solution : Correct Answer is Shah Rukh Khan.

The famous La Trobe University in Melbourne has bestowed an honorary degree, Doctor of Letters, to superstar Shah Rukh Khan.
Shah Rukh Khan, who was the first international actor to be awarded the Malaysian title of Datuk

16 Views

Question : Westernisation in India has led to:

Option 1: The revival of traditional arts and crafts

 

Option 2: The decline of joint family systems

Option 3: The strengthening of caste hierarchies

Option 4: The reduction of gender disparities

Team Careers360 22nd Jan, 2024

Correct Answer: The decline of joint family systems


Solution : Westernisation in India has led to the decline of joint family systems, as nuclear families and individualistic lifestyles become more common, influenced by Western values and norms.

 

17 Views

Question : During pre-British period, India was popularly known for ________________

Option 1: Handicraft industries

Option 2: Industrialisation

Option 3: Arts and crafts

Option 4: All of the above

Team Careers360 25th Jan, 2024

Correct Answer: Handicraft industries


Solution : Before the British Empire, India was well-known for its Handicraft industries. Hence, the correct option is 1.

44 Views

can arts with maths student are eligible for cmi entrance exam

Tanya Gupta 14th Jan, 2024

Hello,


Yes, arts students with a background in mathematics are eligible to apply for the CMI entrance exam. The CMI entrance exam is open to students from various backgrounds and that includes arts with maths. The eligibility requirement is that the student must have completed 10+2 or equivalent examination with

39 Views

I have completed my +2 arts exam online under BOSSE Sikim, is it euivalent with chse board odissa?

Ishita 4th Aug, 2024

Hello Aspirant

The best way to compare two Boards of Examinations is to see if it is UGC-recognised because that puts all the boards on the same pedestal. After researching on the Internet, it is safe to conclude that BOSSE, Sikkim is UGC-recognised and all its certificates are valid all

12 Views

I choose stream arts and my goal is I want to become a social worker

Tanya Gupta 11th Jan, 2024

Hello,


It's a great choice. Pursuing a career as a social worker is a noble goal. In the field of social work, you'll have the opportunity to make a positive impact on people's lives and contribute to the betterment of society.

To become a social worker, you can consider pursuing

46 Views

Question : Parts of a sentence are given below in jumbled order. Arrange the parts in the correct order to form a meaningful sentence.

P. the golden era when their language, culture and arts flourished
Q. in the minds of the Tamils
R. under the patronage of successive Pandian kings
S. The name 'Madurai' evokes

Option 1: SPQR

Option 2: SQPR

Option 3: SRPQ

Option 4: SQRP

Team Careers360 16th Jan, 2024

Correct Answer: SQPR


Solution : The correct choice will be the second option.

The complete sentence in the correct order is: The name 'Madurai' evokes in the minds of the Tamils the golden era when their language, culture, and arts flourished under the patronage of successive Pandian kings.

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