List of practice Questions

Shown below is a stack of identical bricks arranged without empty spaces between them. How many additional bricks are required to complete the stack into a solid rectangular block?
Which of the given options is the logo of the electric car company Tesla?
The ‘I Love New York’ logo is designed by?
In the passage below, identify the four missing words. The boxes below contain possible words for each blank. Choose the option which contains the correct missing words.
Count the number of triangles in the given figure.
The logical expression \( X \), in its simplest form for the truth table \[ \begin{array}{|c|c|c|} \hline A & B & X \\ \hline 0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 0 \\ 1 & 1 & 1 \\ \hline \end{array} \] is
If \( f(a + b - x) = f(x), \) then \( \int_a^b f(x) \, dx \) is
Direction: This question presents a sentence, part of which or all of which is underlined. Beneath the sentence you will find four ways of phrasing the underlined part. The first of these repeats the original; the other three are different. If you think the original is best, choose the first answer; otherwise choose one of the others. The administration discussed whether the number of students studying European languages was likely to decline when the senior lecturer retired.
Choose the best pronunciation of the word, Restaurant, from the following options.
If \( y = 2^x \), then \[ \frac{dy}{dx} \, \text{at} \, x = e \, \text{is} \]
\[ \int x^2 (x^4 + 1)^{3/4} \, dx \text{ is equal to } \]
If the letters of the word KRISNA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word KRISNA is
The shortest distance between the lines \( x = y + 2 = 6z - 6 \) and \( x + 1 = 2y = -12z \) is
The domain and range of the function \( f(x) = 2 - |x - 5| \) is
The number of surjective functions from \( A \) to \( B \) where \( A = \{1,2,3,4\} \) and \( B = \{a, b\} \) is
The solution of the equation \[ \sin^2\theta + \cos^2\theta = 1 \] lies in the interval
If \( f(x) = (1 + x)^2 \) for \( x>0 \), then \( f(x) \) is
Number of ways of selecting three squares on a chessboard so that all the three be on a diagonal line of the board or parallel to it is
If \( a = 1 \), \( b = 2 \), \( c = 3 \), and \( d = 4 \), then \[ abc = d \]
While shuffling a pack of 52 playing cards, 2 are accidentally dropped. The probability that the missing cards to be of different colours is
Which of the following is INCORRECT for the hyperbola \( x^2 - 2y^2 + 2x + 8y - 1 = 0 \)?
The foci of the ellipse \( \frac{x^2}{144} + \frac{y^2}{81} = 1 \) and the hyperbola \( \frac{x^2}{144} - \frac{y^2}{81} = 1 \) coincide then value of \( b^2 \) is
A box contains 20 identical balls of which 10 are blue and 10 are green. The balls are drawn at random from the box one at a time with replacement. The probability that a blue ball is drawn 4th time on the 7th draw is
The number of common tangents to the circles \( x^2 + y^2 = 16 \) and \( x^2 + y^2 - 6x = 0 \) is
The value of \( \cos \left( \cos^{-1} \left( \frac{1}{3} \right) \right) \) is equal to