NDA || Weekly_Revision_Quiz

A special dice with numbers 1, -1, 2, -2, 0 and 3 is thrown thrice. What is the probability that the sum of the numbers occurring on the upper face is zero?

There is 25% chance that it rains on any particular day. What is the probability that there is at least one rainy day within a period of 7 days?

A machine has three parts, A, B and C, whose chances of being defective are 0.02, 0.10 and 0.05 respectively. The machine stops working if any one of the parts becomes defective. What is the probability that the machine will not stop working?

If the number 235 in the decimal system is converted into a binary system, then what is the resulting number?

Which of the following are correct in respect of the system of equations x + y + z = 8, x – y + 2z = 6 and 3x - y + 5z = k?

1) They have no solution, if k = 15.

2) They have infinitely many solutions, if k = 20.

3) They have a unique solution, if k = 25.

Select the correct answer using the code given below :

A body starts from rest and then travels with uniform acceleration for a few minutes and then moves with a constant velocity. Which of the following v-t graphs correctly depict the motion of the body? (v on the y-axis and t on the x-axis)

Find the maximum height attained by the projectile launched at some angle from the horizontal if the maximum horizontal distance it covers is 22.05 m.

Potential energy function for a particle under a conservative force is

U(x) = -2x³ + 4x – 7 N cm

Find the magnitude of force at x = 2 cm.

Find the power (in horsepower) delivered by a pump when it transports 200 kg of water to the third floor in 2 minutes. The height of each floor is 3 m. (g = 10 m/s²)

If K is the bulk modulus for material and ρ is its density, then which of the following is the correct formula concerning these 2 quantities for the speed of sound through this material?