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15 Views

Question : What is the value of $\frac{28}{21} \times \frac{96}{4} \div \frac{125}{5} \times \frac{42}{192}+\frac{297}{125} \times \frac{875}{3} \div \frac{99}{4} \times \frac{6}{25}?$

Option 1: $11$

Option 2: $\frac{9}{25}$

Option 3: $\frac{7}{25}$

Option 4: $7$

Team Careers360 19th Jan, 2024

Correct Answer: $7$


Solution : Given: $\frac{28}{21} \times \frac{96}{4} \div \frac{125}{5} \times \frac{42}{192}+\frac{297}{125} \times \frac{875}{3} \div \frac{99}{4} \times \frac{6}{25}$
= $\frac{\frac{4}{3} × \frac{96}{4}}{\frac{125}{5}}$ × $\frac{42}{192}$ + $\frac{\frac{297}{125}×\frac{875}{3}}{\frac{99}{4}}$ × $\frac{6}{25}$
= $\frac{\frac{4}{3} × 24}{\frac{125}{5}}$ × $\frac{42}{192}$ + $\frac{\frac{297}{125}×\frac{875}{3}}{\frac{99}{4}}$ × $\frac{6}{25}$
= $\frac{ 32}{25}$ × $\frac{7}{32}$ + $\frac{\frac{297}{125}×\frac{875}{3}}{\frac{99}{4}}$ × $\frac{6}{25}$
= $\frac{

22 Views

Question : The angle of elevation of an aeroplane from a point on the ground is 60°. After 15 seconds of flight, the elevation changes to 30°. If the aeroplane is flying at a height of $1500\sqrt{3}$ metre, find the speed of the plane:

Option 1: 300 m/sec

Option 2: 200 m/sec

Option 3: 100 m/sec

Option 4: 150 m/sec

Team Careers360 13th Jan, 2024

Correct Answer: 200 m/sec


Solution :
Height of the aeroplane = BD = CE = $1500\sqrt{3}$ m and $\angle$ BAE = 60°, $\angle$ CAE = 30°
In $\Delta$ ADB,
$\tan 60°=\frac{1500\sqrt{3}}{AD}$
⇒ $\sqrt{3}=\frac{1500\sqrt{3}}{AD}$
⇒ AD = $\frac{1500\sqrt{3}}{\sqrt{3}}$
⇒ AD = 1500 m
In $\Delta$ CAE,
$\tan 30°=\frac{1500\sqrt{3}}{AE}$
⇒ $\frac{1}{\sqrt{3}}=\frac{1500\sqrt{3}}{AE}$
⇒

10 Views

Question : The principles of Liberty, Equality, and Fraternity were adopted from the Constitution of:

Option 1: United Kingdom

Option 2: France

Option 3: Canada

Option 4: Ireland

Team Careers360 25th Jan, 2024

Correct Answer: France


Solution : The correct option is France.

The principles of Liberty, equality, and Fraternity were adopted from the French Constitution. These ideals, integral to democratic values, were enshrined in the Preamble of the Indian Constitution, reflecting a commitment to justice, liberty, equality, and fraternity for all

27 Views

Question :  The open "Sigrees" or coal stoves often require fanning to sustain burning because of

Option 1: tendency of carbon dioxide to form a layer along with dust smoke

Option 2: lack of oxygen in the surrounding Sigrees

Option 3: accumulation of smoke and dust over the Sigrees

Option 4: interrupted release of moisture from the material

Team Careers360 25th Jan, 2024

Correct Answer: tendency of carbon dioxide to form a layer along with dust smoke


Solution : The correct option is the tendency of carbon dioxide to form a layer along with dust smoke.

Insufficient airflow during the combustion of coal can result in incomplete combustion, generating carbon dioxide (CO

17 Views

Question : The first Muslim woman who ruled Northern India was

Option 1: Razia Sultan

Option 2: Mumtaz

Option 3: Nur Jahan

Option 4: None of the above

Team Careers360 16th Jan, 2024

Correct Answer: Razia Sultan


Solution : The correct option is Razia Sultan.

Razia Sultan was the first Muslim woman to rule northern India. From 1236 AD until 1240 AD, she governed the Delhi Sultanate. Razia Sultan rose to the throne upon her father's death. During her brief tenure, she was

15 Views

Question : In 1942, which one of the following was discovered by Enrico Fermi?

Option 1: Atomic Reactor

Option 2: Atom bomb

Option 3: Diode Bulb

Option 4: None of the options is correct

Team Careers360 14th Jan, 2024

Correct Answer: Atomic Reactor


Solution : The correct option is the Atomic Reactor.

An Italian-American physicist, Enrico Fermi developed Chicago Pile-1, the world's first Atomic reactor. Enrico Fermi and his team achieved the first controlled nuclear chain reaction as part of the Manhattan Project, a research and development project

50 Views

Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 19th Jan, 2024

Correct Answer:


Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
Here, according to the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the reflected image will appear

18 Views

Question : Who invented aeroplane?

Option 1: Orville and Wilbur Wright

Option 2: Sir Frank Whittle

Option 3: Michael Faraday

Option 4: Christiaan Huygens

Team Careers360 19th Jan, 2024

Correct Answer: Orville and Wilbur Wright


Solution : The correct answer is Orville and Wilbur Wright.

Orville and Wilbur Wright were two American aviators, engineers & inventors. They were famously known as the Wright brothers, who invented the aeroplane in 1903 and December 17 was the day when they made

17 Views

Question : Select the most appropriate ANTONYM of the given word from the following sentence.

Empowered

People feel liberated in modern democracies, yet it is believed they are enslaved in their minds.

Option 1: liberated

Option 2: enslaved

Option 3: minds

Option 4: modern

Team Careers360 14th Jan, 2024

Correct Answer: enslaved


Solution : The correct choice is the second option.

Empowered means to give somebody power or authority (to do something).

Enslaved means to cause someone to lose their freedom of choice or action.

The opposite of empowerment is disempowerment. Therefore, the correct antonym for empowered 

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