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17 Views

Question : The least value of $\tan^2x+\cot^2x$ is:

Option 1: 3

Option 2: 2

Option 3: 0

Option 4: 1

Team Careers360 18th Jan, 2024

Correct Answer: 2


Solution : The value will be minimum when $x = 45°$
Minimum value $= \tan^2x+\cot^2x=\tan^245°+\cot^245°=1+1=2$
Hence, the correct answer is 2.

37 Views

Question : Select the option that can be used as a one-word substitute for the given group of words.

A person who does not believe that God or Gods exist.

Option 1: Irreverent

Option 2: Atheist

Option 3: Profane

Option 4: Blasphemous

Team Careers360 24th Jan, 2024

Correct Answer: Atheist


Solution : The correct one-word substitute is the second option.

An atheist is a person who does not believe in the existence of God. This is the most suitable one-word substitute for the given group of words.

The meanings of the other options are as follows:

  • Irreverent:

25 Views

Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct?
14 × 8 + 64 ÷ 32 – 2 = 88

Option 1: 8 and 32; × and +

Option 2: 14 and 2; × and +

Option 3: 8 and 2; – and ÷

Option 4: 32 and 64; + and ÷

Team Careers360 16th Jan, 2024

Correct Answer: 8 and 2; – and ÷


Solution : Given:
14 × 8 + 64 ÷ 32 – 2 = 88

Let's check each option –
First Option: 8 and 32; × and +
On interchanging the mathematical signs and numbers, we get –
14 + 32 × 64

37 Views

Question : The Kuchipudi dance form originated in which of the following states of India?

Option 1: Uttar Pradesh

Option 2: Kerala

Option 3: Assam

Option 4: Andhra Pradesh

Team Careers360 18th Jan, 2024

Correct Answer: Andhra Pradesh


Solution : The correct answer is Andhra Pradesh.

Kuchipudi is one of the major Indian classical dances. It originated in a village named Kuchipudi in the Indian state of Andhra Pradesh. Kuchipudi's origins can be traced back to the third century BCE, giving it a

11 Views

Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word.
Malaysia : Kuala Lumpur :: Bhutan : ?

Option 1: Dhaka

Option 2: Islamabad

Option 3: Kathmandu

Option 4: Thimphu

Team Careers360 21st Jan, 2024

Correct Answer: Thimphu


Solution : Given:
Malaysia : Kuala Lumpur :: Bhutan : ?

Like, Kuala Lumpur is the capital of Malaysia.
Similarly, the capital of Bhutan is Thimphu.

Hence, the fourth option is correct.

2 Views

Question : BE and CF are two altitudes of a triangle ABC. If AB = 6 cm, AC = 5 cm, and CF = 4 cm. Then, the length of BE is:

Option 1: 4.8 cm

Option 2: 7.5 cm

Option 3: 3.33 cm

Option 4: 5.5 cm

Team Careers360 22nd Jan, 2024

Correct Answer: 4.8 cm


Solution :

Given: BE and CF are two altitudes of a triangle ABC.
Where AB = 6 cm, AC = 5 cm and CF = 4 cm
Area of $\triangle ABC = \frac{1}{2}\times AB\times CF= \frac{1}{2}\times AC\times BE$
$⇒\frac{1}{2}\times 6\times 4= \frac{1}{2}\times 5\times BE$
$⇒BE =

20 Views

Question : Class 10, consisting of 40 students, took a science test. 30 students had an average score of 95. The other students had an average score of 85. What is the average score of the whole class?

Option 1: 92.3

Option 2: 92.5

Option 3: 92.4

Option 4: 92.2

Team Careers360 25th Jan, 2024

Correct Answer: 92.5


Solution : Given: 30 students had an average score of 95. The other students had an average score of 85.
The total score of 30 students = (95 × 30) = 2850
The total score of the other students = 85 × (40 – 30) = 850

12 Views

Question : Which of the following is the highest gravity dam in India?

Option 1: Hirakund Dam

Option 2: Bhakra Dam

Option 3: Sardar Sarovar Dam

Option 4: Mettur Dam

Team Careers360 20th Jan, 2024

Correct Answer: Bhakra Dam


Solution : The correct option is Bhakra Dam.

The Bhakra Dam is one of the largest and oldest dams in the country. This dam is nearly 226 metres high. The Bhakra Dam is located on the Sutlej River in the northern state of Himachal Pradesh.

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