List of practice Questions

Consider two set-associative cache memory architectures: $ WBC $, which uses the write-back policy, and $ WTC $, which uses the write-through policy. Both of them use the LRU (Least Recently Used) block replacement policy. The cache memory is connected to the main memory. Which of the following statements is/are TRUE?

Factorise

$4p^ 2 - 9q ^2$
$63a^ 2 - 112b ^2$
$49x^ 2 - 36$
$16x^ 5 - 144x^ 3$
$(l + m)^ 2 - (l - m) ^2$
$9x^ 2 y^ 2 - 16 $
$(x^ 2 - 2xy + y^ 2 ) - z^ 2$
$25a ^2 - 4b^ 2 + 28bc - 49c ^2$

Convert each part of the ratio to percentage:

3:1
2:3:5
1:4
1:2:5

If A is n $\times$ n matrix, then adj (adj A) =

The interval in which $y=x^2e^{-x}$ is increasing is

Would the bulb glow after completing the circuit shown in Fig. 9.14 if instead of safety pin we use an eraser?

Would the bulb glow after completing the circuit

A short bar magnet placed in a horizontal plane has its axis aligned along the magnetic north-south direction. Null points are found on the axis of the magnet at 14 cm from the centre of the magnet. The earth’s magnetic field at the place is 0.36 G and the angle of dip is zero. What is the total magnetic field on the normal bisector of the magnet at the same distance as the null−point (i.e., 14 cm) from the centre of the magnet? (At null points, field due to a magnet is equal and opposite to the horizontal component of earth’s magnetic field.)

Two waves are given by $y_1 = \cos \, (4t - 2x)$ and $y_2 = sin \, \big(4t - 2x + \frac{\pi}{4} \big).$ The phase difference between the two waves is

Let f: R→R be defined as f(x) = 3x. Choose the correct answer.

A plane square sheet of charge of side $0.5\, m$ has uniform surface charge density. An electron at $1\, cm$ from the centre of the sheet experiences a force of $1.6 \times 10^{-12}\, N$ directed away from the sheet. The total charge on the plane square sheet is $\left(\varepsilon_{0}=8.854 \times 10^{-12} C ^{2} m ^{-2}\, N ^{-1}\right)$

A horizontal beam of length 1200 mm is pinned at the left end and is resting on the roller at the other end as shown in the figure. A linearly varying distributed load is applied on the beam. The magnitude of maximum bending moment acting on the beam is _____ Nm (Round off to one decimal place)

A horizontal beam of length 1200 mm is pinned at the left

If 15 pumps of equal capacity can fill a tank in 7 days, then how many extra pumps will be required to fill the tank in 5 days?

When a die is thrown, list the outcomes of an event of getting

(a) a prime number (b) not a prime number.
(a) a number greater than 5 (b) a number not greater than 5.

In a city, 30% are females, 40% are males and remaining are children. What per cent are children?

What pleasure does a beautiful thing give us? Are beautiful things worth treasuring?

The sinusoidal T.F. Corresponding to the polar plot for T>0.

The value of $ \sin(\cot^{-1}(x)) $ is:

If $ y = 5\cos x - 3\sin x $, then $ \frac{d^2y}{dx^2} + y $ equals:

The integral of $ \sec^{2/3}x \csc^{4/3}x \, dx $ from $ \pi/6 $ to $ \pi/3 $ is equal to:

A binary compound has Y-atoms forming FCC unit cell and another type of X-atoms occupying 1/3^rd of tetrahedral voids. Find out the molecular formula of the compound.

How many of the following have 10 electrons: O^2-, O, Al³⁺, Al, F, F^-, Mg²⁺, Mg, N^-3

A function $ f : \mathbb{R}_+ \to \mathbb{R} $ (where $ \mathbb{R}_+ $ is the set of all non-negative real numbers) defined by $ f(x) = 4x + 3 $ is:

Find: \[ \int \frac{x^2}{(x^2 + 4)(x^2 + 9)} \, dx. \]

If $ P(A | B) = P(A' | B) $, then which of the following statements is true?

Write seven consecutive composite numbers less than 100 so that there is no prime number between them.