List of practice Questions

The most likely acid–catalysed aldol condensation products of each of the two aldehydes I and II will respectively be: 





 

Give the possible structure of X in the following reaction: C₆H₆ + D₂SO₄ xrightarrowD₂O X 

In the reaction: P + Q longrightarrow ?R + S The time taken for 75% reaction of P is twice the time taken for 50% reaction of P. The concentration of Q varies with time as shown in the figure. The overall order of the reaction is: 

Select a suitable figure from the four alternatives that would complete the figure matrix. 

Select a suitable figure from the four alternatives that would complete the figure matrix.

Select a suitable figure from the four alternatives that would complete the figure matrix. 

Choose the set of figures which follows the given rule. Rule: Closed figures losing their sides and open figures gaining their sides. 

If the third term in the expansion of [x+x\log_¹⁰ˣ]⁵ is 10⁶, then x may be
If three vertices of a regular hexagon are chosen at random, then the chance that they form an equilateral triangle is
A man takes a step forward with probability 0.4 and backward with probability 0.6. The probability that at the end of eleven steps he is one step away from the starting point is
The locus of the point of intersection of two tangents to the parabola y²=4ax which are at right angle to one another is
The parabola having its focus at (3,2) and directrix along the y-axis has its vertex at
The number of real roots of the equation 3⁹C₃r-1-3⁹Cᵣ²=3⁹Cᵣ²-1-3⁹C₃r is
If sumᵣ=0ⁿ(r+2)/(r+1)ⁿCᵣ=(2ⁿ-1)/(6), then n=
All the words that can be formed using alphabets A, H, L, U and R are written as in a dictionary (no alphabet is repeated). The rank of the word RAHUL is
If the sum of odd-numbered terms and even-numbered terms in the expansion of (x+a)ⁿ are A and B respectively, then the value of (x²-a²)ⁿ is
A ray of light coming from the point (1,2) is reflected at a point A on the x-axis and then passes through the point (5,3). The coordinates of point A is
The equation x²-2√(3)xy+3y²-3√(3)y-4=0 represents
The line joining (5,0) to (10cosθ,10sinθ) is divided internally in the ratio 2:3 at point P. If θ varies, the locus of P is
The number of integral values of λ for which x²+y²+λ x+(1-λ)y+5=0 is the equation of a circle whose radius cannot exceed 5, is
The lengths of the tangents drawn from any point on the circle 15x²+15y²-48x+64y=0 to the circles 5x²+5y²-24x+32y+75=0 and 5x²+5y²-48x+64y+300=0 are in the ratio of
The length of the chord x+y=3 intercepted by the circle x²+y²-2x-2y-2=0 is
Match List I with List II and select the correct answer using the code given below the lists. List I • [(A)] f(x)=cos x • [(B)] f(x)=ln x • [(C)] f(x)=x²-5x+4.3 • [(D)] f(x)=eˣ List II • [1.] The graph cuts y-axis in infinite number of points • [2.] The graph cuts x-axis in two points • [3.] The graph cuts y-axis in only one point • [4.] The graph cuts x-axis in only one point • [5.] The graph cuts x-axis in infinite number of points
What is the x-coordinate of the point on the curve f(x)=√(x)(7x-6), where the tangent is parallel to x-axis?
A wire 34 cm long is to be bent in the form of a quadrilateral of which each angle is 90^∘. What is the maximum area which can be enclosed inside the quadrilateral?