List of practice Questions

The minimum value, \(f_{\text{min}}\), of the function given below is: \[ f(x_1, x_2, x_3) = \frac{1}{2} (x_1^2 + x_2^2 + x_3^2) - 2(x_1 + x_2 + x_3) \] (round off to the nearest integer).

If we consider blood as a suspension of RBCs in a Newtonian fluid, the shear forces experienced by the RBCs during blood flow would

As shown in the figure, the water contact angles of surfaces A and B are $\theta_A$ and $\theta_B$, respectively. Based on the figure, which of the following statements given below is TRUE?
\includegraphics[width=0.5\linewidth]{image16.png}

Which of the following is a bone resorbing cell?

Which of the following is a cranial bone in the human body?

Which of the following glands produces the thyroid stimulating hormone (TSH)?

Which of the following causes Myocardial Infarction (MI)?

For a linear stable second order system, if the unit step response is such that the peak time is twice the rise time, the system is \(\underline{\hspace{2cm}}\).

Which of the following displacement sensors is known to have high sensitivity and a relatively larger measurement range?

Which of the following temperature sensors is used in contact-type digital thermometers for measuring body temperature?

The pH of blood in a healthy human is precisely in the range of \(\underline{\hspace{2cm}}\).

For \[ f_X(x) = \frac{1}{\pi} \left(\frac{q}{e^x + e^{-x}}\right) \] to be a valid probability distribution function of a random variable X, the value of q is

Find the sum of the following series (with infinite terms):
\(2\sqrt2, \frac4{\sqrt3}, \frac{4\sqrt2}{3}, .....\)

The minimum value of \(\frac{3(6+x)(x+12)}{2(4+x)}\) where x>-4 is 

Let \(g(x)+g(\frac{1}{x})=1+3x\). Find the value of g(3).

Below two pairs of numbers are given. But one number in the second pair is missing. Identify the relationship between the two numbers in first pair and find the second number of the second pair such that it follows the same relationship as that of first pair.
7: 77:: 14: ...

Find the next number in the series 7, 9, 14, 27, 28, 81, ?

Find the next number in the series 210, 195, 175, 150, 120, ?

In a certain code language BCG is coded as EFJ. How is the word FALSE coded?

The question below consists of a main statement followed by four options. Select the one that logically follows the main statement
If I drive a car, then it is a BMW or a Skoda.

The question below consists of a main statement followed by four options. Select the one that logically follows the main statement
The slip fielder can catch a ball, only if the batsman is brought to the front foot and he tries to hit the ball

In a certain code language, if the word RESERVE is coded as GXTGUGT, then how is the word PRESENT coded in that language