List of practice Questions

A game board was set with multiple decks of cards arranged in such a way that sum total of the cards on each side was equal (1+2+3+4=10). However, a new card was added on one side (blue card) and the cards were rearranged to maintain the rule, namely, that the sum total equals 10. How many cards can be added (starting from original position as shown on the left) before the game ends and no more cards can be added? Assume that every position must have at least one card and the sum total rule of 10 must be followed.

A list of 8 country names in Vietnamese (shown in red), and their English translations (shown in blue) are given below. The translation list is mixed up. Which of the following statements is TRUE?

What is the angle between hour and minute hand of a clock at 6.30?

Write the mathematical equation for the first law of thermodynamics for Isothermal process, Adiabatic process. Derive the relationship between pH and pOH.

A deck of ten cards is given to you as shown below in the figure. One card is drawn at random from this deck. The probability of selecting a number less than 9 is__ (to one decimal place).

The average of all positive even integers less than or equal to 40 is___.

The smallest positive (non-zero) integer "n" for which the expression \((\frac{1+i}{1-i})^n\) = 1 holds true, is ___.

Given that A=\( (sin\theta cos\theta tan\theta + sin\theta cos\theta cot\theta)\), the value of A is

An object is placed at the principal focus of a concave lens of focal length 10 cm. The image will be formed at___ cm, between the optical center and the focus of the lens on the same side of the object.

What is the maximum number of hydrogen bonds that a water molecule can make in the liquid state?

How many pairs of autosomal chromosomes are there in normal humans?

Calculate the temperature (in K) at which the resistance of a metal becomes 20% more than its resistance at 300 K. The value of the temperature coefficient of resistance for this metal is \(2.0 \times  10^{-4}\)/K.

In the 1'H NMR spectrum of ethanol at 400 MHz, the methyl group splits into ___number of peaks.

A man throws a ball vertically up in the air with an initial velocity v₁ such that it reaches a height of 12 m with a speed of 12 m/s. If he throws the same ball vertically up with an initial velocity v such that it reaches a maximum height of 12 m. Calculate v₁/v₂ (up to 2 decimal places).

In a denaturing polyacrylamide gel electrophoresis experiment, pure intact adult human hemoglobin will yield (number) bands.

What is the acceleration due to gravity (m/s²) on the surface of a planet if its radius is 1/4th that of earth and its mass is 1/80th that of earth" Assume that the gravity on the surface of the earth is 10 m/s².

In a randomly mating population, the frequency of 'A' allele is 0.7. What is the frequency of An" genotype in the next generation according to Hardy- Weinberg's law? (up to two decimal places)

The potential difference to accelerate an electron was quadrupled. By what factor does the de Broglie wavelength of the electron beam change?

A balanced Wheatstone bridge ABCD has the following arm resistances:
$R_{AB} = 1 \text{k}\Omega \pm 2.1% ; R_{BC} = 100 \Omega \pm 0.5% ; R_{CD}$ is an unknown resistance; $R_{DA} = 300 \Omega \pm 0.4%$. The value of $R_{CD}$ and its accuracy is

A 500 nm light is used for imaging in a confocal microscope. What will be the best resolution (in nm) of this microscope?

Consider a two-dimensional potential flow over a cylinder. If the freestream speed is $U_{\infty}$, the maximum speed on the cylinder surface is

Let $x$ be a real number and $i=\sqrt{-1}$. Then the real part of $\cos(ix)$ is

Assuming the molecule shown below is aromatic, the value of "s" according to "Hückel's rule" is