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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: $75^\circ$
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
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
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.
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
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
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
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 = $\frac{\text{Profit}}{\text{Cost price}}×100$ = ($\frac{\frac{1}{100}}{\frac{1}{25}})×100$
Question : Madhya Pradesh is the largest producer of
Option 1: Cotton
Option 2: Oil-seeds
Option 3: Pulses
Option 4: Maize
Correct Answer: Pulses
Solution : The correct answer is Pulses.
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
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
Question : A tailor buys lining clothes from a wholesale merchant and cheats him by using a measurement tape that is 5 cm longer than the normal tape. The tailor offers the customers at cost price while stitching different garments and uses measurement tape which is 5 cm shorter than the normal tape. The gain percent is:
Option 1: $15$%
Option 2: $10 \frac{10}{25}$%
Option 3: $10$%
Option 4: $10 \frac{10}{19}$%
Correct Answer: $10 \frac{10}{19}$%
Solution : Let the actual cost of 1 m cloth be $x$ The false cost price of 1.05 m cloth = $x$ So, the false cost price of 1 m cloth = Rs. $\frac{x}{1.05}$ The actual selling price of 1 m cloth = Rs. $x$ The
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
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.
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
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
Question : Olympic Winter Games Beijing 2022 took place in ________.
Option 1: February
Option 2: January
Option 3: March
Option 4: April
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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