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Question : Soil factors are otherwise known as :

Option 1: Edaphic factors

Option 2: Biotic factors

Option 3: Physiographic factors

Option 4: Climatic factors 

Team Careers360 23rd Jan, 2024

Correct Answer: Edaphic factors


Solution : The correct answer is Edaphic factors.

Edaphic factors are related to the physical, chemical and biological properties of soil. They are an important factor for the development of plants and trees. Factors such as soil type, soil pH, salinity, texture, temperature, moisture, organic carbon

20 Views

Question : What is used in storage batteries?

Option 1: Copper

Option 2: Tin

Option 3: Lead

Option 4: zinc

Team Careers360 18th Jan, 2024

Correct Answer: Lead


Solution : The correct option is Lead.

Lead-acid batteries have a positive electrode of lead dioxide, a negative electrode of sponge lead, and an electrolyte of diluted sulfuric acid solution. During charging and discharging, the chemical processes in a lead-acid battery include the conversion of lead and

21 Views

Question : The arithmetic mean of the following numbers
1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7 is:

Option 1: 4

Option 2: 5

Option 3: 14

Option 4: 20

Team Careers360 23rd Jan, 2024

Correct Answer: 5


Solution : Arithmetic mean or average
= $\frac{\text{Sum of the numbers}}{\text{Total count}}$
= $\frac{1+2+2+3+3+3+4+4+4+4+5+5+5+5+5+6+6+6+6+6+6+7+7+7+7+7+7+7}{28}$
= $\frac{1+2×2+3×3+4×4+5×5+6×6+7×7}{28}$
= $\frac{1+4+9+16+25+36+49}{28}$
= $\frac{140}{28}$
= $5$
Hence, the correct answer is 5.

12 Views

Question : Rajiv Kumar assumed charge as the _______ Chief Election Commissioner of India in May 2022.

Option 1: 25th

Option 2: 20th

Option 3: 27th

Option 4: 23rd

Team Careers360 21st Jan, 2024

Correct Answer: 25th


Solution : The correct option is the 25th.

Rajiv Kumar assumed charge as the 25th Chief Election Commissioner of India in May 2022. He is a retired Indian Administrative Service (IAS) officer of the 1984 batch.

16 Views

Question : If $x\left(5-\frac{2}{x}\right)=\frac{5}{x}$, then the value of $x^2+\frac{1}{x^2}$ is:

Option 1: $\frac{54}{25}$

Option 2: $\frac{53}{28}$

Option 3: $\frac{53}{27}$

Option 4: $\frac{54}{23}$

Team Careers360 25th Jan, 2024

Correct Answer: $\frac{54}{25}$


Solution : Given: $x\left(5-\frac{2}{x}\right)=\frac{5}{x}$
⇒ $5x-2 = \frac{5}{x}$
⇒ $5x-\frac{5}{x} =2$
⇒ $5(x-\frac{1}{x})=2$
⇒ $x- \frac{1}{x} = \frac{2}{5}$
Squaring both sides.
⇒ $x^2+\frac{1}{x^2}-2 = \frac{4}{25}$
⇒ $x^2+\frac{1}{x^2} = \frac{4}{25}+2$
⇒ $x^2+\frac{1}{x^2} = \frac{54}{25}$
Hence, the correct answer is $\frac{54}{25}$.

37 Views

Question : If the mass of an object is 60 kg, what will be its weight on the moon?

Option 1: 60 N

Option 2: 600 N

Option 3: 100 N

Option 4: 10 N

Team Careers360 25th Jan, 2024

Correct Answer: 100 N


Solution :

The correct option is 100N.

Weight (W) = Mass (M) × acceleration due to gravity (g)

The gravitational acceleration on the surface of the moon is 1/6th of that on Earth.

Acceleration due to gravity on Earth ≈ 10m/s²

So the acceleration due

21 Views

Question : If $0^{\circ}< \theta< 90^{\circ}$ and $\operatorname{cosec \theta} =\cot^{2}\theta$, then the value of expression $\operatorname{cosec^{4}\theta}–\operatorname{2cosec^{2}\theta}-\cot^{2}\theta$ is equal to:

Option 1: $2$

Option 2: $0$

Option 3: $1$

Option 4: $3$

Team Careers360 24th Jan, 2024

Correct Answer: $0$


Solution : $\operatorname{cosec \theta} =\cot^{2}\theta$
$⇒\operatorname{cosec \theta} = \operatorname{cosec^2 \theta} -1$
Squaring both sides, we get,
$⇒\operatorname{cosec^2 \theta} =\operatorname{cosec^4 \theta} -2\operatorname{cosec^2 \theta} +1$
$⇒\operatorname{cosec^4 \theta} -3\operatorname{cosec^2 \theta} +1=0$
$⇒\operatorname{cosec^4 \theta} -3\operatorname{cosec^2 \theta} +\operatorname{cosec^2 \theta} -\cot^2\theta =0$ [$\because1 = \operatorname{cosec^2 \theta}-\cot^2\theta$]
$⇒\operatorname{cosec^4 \theta} -2\operatorname{cosec^2 \theta}  -\cot^2\theta =0$
Hence,

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