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15 Views

Question : In $\triangle {PQR}, {PN}$ is the median on ${QR}$. If ${PN}={QN}$, then what is the value of $\angle {QPR}$?

Option 1: $90^\circ$

Option 2: $80^\circ$

Option 3: $60^\circ$

Option 4: $75^\circ$

Team Careers360 23rd Jan, 2024

Correct Answer: $90^\circ$


Solution :
In $\triangle PQR$, PN is the median.
So, QN = NR
and PN = QN (given)
In $\triangle PQN$
PN = QN
Let $\angle QPN=\angle NQP = \theta$
Similarly, In $\triangle PNR$
PN = NR
Let $\angle NPR = \angle NRP = \alpha$
$\therefore QPR=\theta

79 Views

Question : An arc of length 23.1 cm subtends an 18° angle at the centre. What is the area of the circle?
$\mathrm{[Use ~\pi=\frac{22}{7} ]}$

Option 1: 16978.50 cm2

Option 2: 16988.50 cm2

Option 3: 16878.50 cm2

Option 4: 16798.50 cm2

Team Careers360 24th Jan, 2024

Correct Answer: 16978.50 cm2


Solution : Arc length = 23.1 cm
⇒ $\frac{\theta}{360^{\circ}}× 2\pi r$ = 23.1
⇒ $\frac{18^{\circ}}{360^{\circ}}× 2\pi r$ = 23.1
⇒ $r=73.5$ cm
Area of circle = $\pi$r$^{2}$ = ${\frac{22}{7}}\times{73.5}\times{73.5}$ = 16978.50 cm$^{2}$.
Hence, the correct answer is 16978.50 cm2.

15 Views

Question : Dr. P. Rama Rao's committee is related to which of the following?

Option 1: Taxes

Option 2: Defence

Option 3: Industry

Option 4: Agriculture

Team Careers360 24th Jan, 2024

Correct Answer: Defence


Solution : The correct option is Defence.

P. Rama Rao committee was set up in 2007 and the committee submitted its report a year after. The head of the committee was Dr P. Rama Rao, who was the former secretary of the Department of Science and

38 Views

Question : A person bought some pens at the rate of 25 for a rupee and sold them at the rate of 20 for the rupee. What is the profit percentage?

Option 1: 30 percent

Option 2: 10 percent

Option 3: 25 percent

Option 4: 15 percent

Team Careers360 25th Jan, 2024

Correct Answer: 25 percent


Solution : The cost of each pen (CP) = $\frac{1}{25}$
The selling price of each pen (SP) = $\frac{1}{20}$P
Profit per pen = Selling Price per pen − Cost Price per pen = $(\frac{1}{20}) – (\frac{1}{25}) = (\frac{1}{100})$
⇒ Profit Percentage = $\frac{\text{Profit}}{\text{Cost price}}×100$ = ($\frac{\frac{1}{100}}{\frac{1}{25}})×100$

8 Views

Question : Which of the following particles has the dual nature of paticle wave?

Option 1: Electron

Option 2: Meson

Option 3: Proton

Option 4: Neuron

Team Careers360 20th Jan, 2024

Correct Answer: Electron


Solution : The correct answer is electron.

In Quantum Mechanics, dual nature of a particle theory was given de Broglie in 1924. He said that when a particle is moving it exhibits both the particle nature and the wave nature. Electrons also exhibit the property of both

12 Views

Question : Rani can do the work alone in 10 days, Priya can do the same work alone in 12 days and Guddu can do the same work alone in 15 days. If they do that work together and they are paid INR 6000, then what is the share of Priya?

Option 1: INR 2500

Option 2: INR 1600

Option 3: INR 1800

Option 4: INR 2000

Team Careers360 22nd Jan, 2024

Correct Answer: INR 2000


Solution : Since the efficiency is inversely proportional to the time taken.
The ratio of efficiencies of Rani, Priya, and Guddu $=\frac{1}{10}:\frac{1}{12}:\frac{1}{15} = 6:5:4$
So, the share of Priya = $\frac{5}{15}$ × 6000 = INR 2000
Hence, the correct answer is INR 2000.

10 Views

Question : The Pension Fund Regulatory and Development Authority (PFRDA) amended the 2015 PFRDA Regulation to increase the age limit for the Ombudsman from 65 to_____ years.

Option 1: 77

Option 2: 80

Option 3: 70

Option 4: 90

Team Careers360 21st Jan, 2024

Correct Answer: 70


Solution : The correct answer is 70.

The Pension Fund Regulatory and Development Authority (PFRDA) amended the 2015 PFRDA Regulation to increase the age limit for the Ombudsman from 65 to 70 years. The amendment was made through the Pension Fund Regulatory and Development Authority

9 Views

Question : Olympic Winter Games Beijing 2022 took place in ________.

Option 1: February

Option 2: January

Option 3: March

Option 4: April

Team Careers360 22nd Jan, 2024

Correct Answer: February


Solution : The correct answer is February.

​​​​​​Olympics Winter Games 2022 was an international winter multi-sport competition. It was held in Beijing, China, from February 4 to February 20, 2022. This was a historical event for India as Alpine skier Mohammad Arif Khan competed in

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