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19 Views

Question : X can do a work in 3 days, Y can do three times the same work in 8 days, and Z can do five times the same work in 12 days. If they have to work together for 6 hours a day, then how much time will they take to complete the work?

Option 1: 4 hours

Option 2: 5 hours 20 minutes

Option 3: 4 hours 10 minutes

Option 4: 5 hours

Team Careers360 17th Jan, 2024

Correct Answer: 5 hours 20 minutes


Solution : X can complete the work in 3 days.
Y can do three times the same work in 8 days.
Z does five times the same work in 12 days.
Working hours per day = 6 hours
Efficiency = $\frac{\text{Total work}}{\text{Total Time}}$
Let

19 Views

Question : Article 370 of the Indian Constitution upholds

Option 1: land reform legislation in India

Option 2: diplomatic privileges and immunities

Option 3: special status of Jammu and Kashmir State

Option 4: duties and rights of Lokpal

Team Careers360 23rd Jan, 2024

Correct Answer: special status of Jammu and Kashmir State


Solution : The correct answer is the special status of Jammu and Kashmir State.

It allowed Jammu and Kashmir to have its constitution, flag, and legislative authority. The Indian constitution's "Temporary, Transitional and Special Provisions" Part XXI contains Article 370. It

12 Views

Question : What is the name of the portal launched by the Reserve Bank of India (RBI) to check illegal money collection?

Option 1: Sahyog

Option 2: Sahayata

Option 3: Sampark

Option 4: Sachet

Team Careers360 23rd Jan, 2024

Correct Answer: Sachet


Solution : The correct answer is sachet.

In 2016, the RBI established the Sachet platform to combat unlawful money collecting. Sachet is an integration for Sahyog Sahayata Sampark, which translates to " cooperation, assistance and contact" in Hindi. The Sachet site allows the public to learn about

11 Views

Question : For a missile launched with a velocity less than the earth's escape velocity, the total energy is 

Option 1: either positive of negative

Option 2: Negative

Option 3: Zero

Option 4: Positive

Team Careers360 20th Jan, 2024

Correct Answer: Negative


Solution : The Correct Answer is-  Negative

Kinetic and potential energy are negative when added together. This is because the missile is restrained by the earth's gravitational field at speeds below escape velocity. As a result, it has negative total energy. The minimum velocity needed for an

51 Views

Question : AB is the common tangent to both circles as shown in the given figure. What is the distance between the centres of the circles?

Option 1: 20 cm

Option 2: 15 cm

Option 3: 10 cm

Option 4: 30 cm

Team Careers360 23rd Jan, 2024

Correct Answer: 30 cm


Solution :
Given that AB is the common tangent to both circles.
In the circle with centre C, $\angle$CAE = 90°
In the circle with centre D, $\angle$DBA = 90°
and $\angle$AEC = $\angle$BED (vertically opposite angle)
So, $\triangle$CAE $\sim$ $\triangle$DBC
⇒ $\frac{CA}{AE}=\frac{DB}{BE}$
⇒ $\frac{4}{3}=\frac{DB}{15}$

14 Views

Question : If $\sin\phi=\frac{5}{6}$, the value of $\cot\phi \cdot \sin\phi \cdot \cos\phi$ is:

Option 1: $\frac{6}{5}$

Option 2: $\frac{25}{36}$

Option 3: $\frac{5}{6}$

Option 4: $\frac{11}{36}$

Team Careers360 18th Jan, 2024

Correct Answer: $\frac{11}{36}$


Solution : Given: $\sin\phi=\frac{5}{6}$.
Now, $\cot\phi \cdot \sin\phi \cdot \cos\phi$
= $\frac{\cos\phi}{\sin\phi}×\sin\phi×\cos\phi$
= $\cos^2\phi$
= $1–\sin^2\phi$
= $1–(\frac{5}{6})^2$
= $1–\frac{25}{36}$
= $\frac{11}{36}$
Hence, the correct answer is $\frac{11}{36}$.

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