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14 Views

Question : What would you call the area under the curve of a velocity-time graph included between itself and two-time ordinates?

Option 1: Velocity

Option 2: Displacement

Option 3: Acceleration

Option 4: Speed

Team Careers360 23rd Jan, 2024

Correct Answer: Displacement


Solution : The correct option is Displacement.

The area under the curve of a velocity-time graph, between the curve and two specific time axes, represents the displacement of an object during that time interval. This is based on the fact that the area under the velocity-time curve

11 Views

Question : Who gave the slogan, 'Dilli Chalo' ?

Option 1: Lal Bahadur Shastri

Option 2: Jawaharlal Nehru

Option 3: Subhash Chandra Bose

Option 4: G.K. Gokhale

Team Careers360 24th Jan, 2024

Correct Answer: Subhash Chandra Bose


Solution : Correct Answer is Subhash Chandra Bose

Netaji Subhash Chandra Bose is credited with creating the "Dilli chalo" slogan, which he uttered during the Indian National Army (INA) movement. The address served as a rallying cry for the Indian National Army (INA), which Bose

9 Views

Question : Fill in the blank with an appropriate option.
Pandavas returned to Hastinapur after their thirteen years of________.

Option 1: acceptance

Option 2: entertainment

Option 3: eminence

Option 4: exile

Team Careers360 24th Jan, 2024

Correct Answer: exile


Solution : The correct choice is the second option.

Exile:

This term refers to the state of being barred or banned from one's native country, often as a form of punishment. In the context of the Pandavas, they were sent into exile for thirteen years as per

28 Views

Question : If 30% of (B – A) = 18% of (B + A), then the ratio A : B is equal to:

Option 1: 4 : 1

Option 2: 1 : 4

Option 3: 5 : 4

Option 4: 5 : 9

Team Careers360 25th Jan, 2024

Correct Answer: 1 : 4


Solution : Given: 30% × (B – A) = 18% × (B + A)
⇒ $\frac{30}{100}$ × (B – A) = $\frac{18}{100}$ × (B + A)
⇒ 5 × (B – A) = 3 × (B + A)
⇒ 5B – 5A = 3B +

13 Views

Question : The value of $(\operatorname{cosec}A+\cot A)(1 - \cos A)$ is:

Option 1: $\cos A$

Option 2: $\tan A$

Option 3: $\cot A$

Option 4: $\sin A$

Team Careers360 23rd Jan, 2024

Correct Answer: $\sin A$


Solution : $(\operatorname{cosec}A+\cot A)(1 - \cos A)$
$=\left(\frac{1}{\sin A} + \frac{\cos A}{\sin A}\right)(1 - \cos A)$
$=\left(\frac{1 + \cos A}{\sin A}\right)(1 - \cos A)$
$=\frac{1 - \cos^2 A}{\sin A}$
$=\frac{\sin^2 A}{\sin A}$ [We know that $1 - \cos^2 A = \sin^2 A$]
$=\sin A$
Hence, the

14 Views

Question : The price of sugar increases by 15%. By what percentage should the consumption of sugar be decreased so that the expenditure on the purchase of sugar remains the same? [Give your answer correct to 2 decimal places.]

Option 1: 11.11%

Option 2: 12.5%

Option 3: 14.16%

Option 4: 13.04%

Team Careers360 23rd Jan, 2024

Correct Answer: 13.04%


Solution : Given that the price of sugar is raised by 15%
Price = $\frac{\text{Expenditure}}{\text{Consumption}}$
Let the original price be 100x
New price after increase in price = $100\text{x}+ 100\text{x} \times \frac{15}{100}$ = 115x 
As expenditure remains same.
Then, $\frac{\text{New consumption}}{\text{Original consumption}} = \frac{\text{Original Price}}{\text{New price}} =

308 Views

Question : If the radius of a cylinder is decreased by 16 percent, then by how much percent its height must be increased so that the volume of the cylinder remains the same.

Option 1: 32.96 percent

Option 2: 41.72 percent

Option 3: 45.28 percent

Option 4: 36.43 percent

Team Careers360 24th Jan, 2024

Correct Answer: 41.72 percent


Solution : Let the initial radius be r and height be 100 and the final height be h
⇒ Final radius = r$({1 - \frac{16}{100})}$ = 0.84r
 Initial volume = Final volume
⇒ $\pi r^{2}$ × 100 = $\pi (0.84r)^{2}$h
⇒ h = $\frac{100}{0.7056}$ = 141.72

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