List of practice Questions

In history of biology, human genome project led to the development of :
The degree of the differential equation satisfying the relation$\sqrt{1+x^2}+\sqrt{1+y^2}=\lambda(x\sqrt{1+y^2}-y\sqrt{1+x^2}) is$
The distance of the origin from the plane through the points $(1, 1, 0)$, $(1, 2, 1)$ and $(-2, 2, -1)$ is
The heat of combustion of a substance is :

Show that the relation R in R defined as R = {(a, b): a ≤ b}, is reflexive and transitive
but not symmetric. 

Name the source from which litmus solution is obtained. What is the use of this solution?
What are the advantages of using CNG and LPG as fuels?
In the reaction, $ {Cl2 + CH4 ->[hv] CH3Cl + HCl}$ presence of a small amount of oxygen
The lengths of two sides of a triangle are 12 cm and 15 cm. Between what two measures should the length of the third side fall?
Find the measure of the angle shown in each figure. (First estimate with your eyes and then find the actual measure with a protractor).
measure of the angle
The sum of two consecutive odd numbers is divisible by 4. Verify this statement with the help of some examples.
If log8 9, log8 (2y+7) and log8 (3y+6) are in arithmetic progression with non-zero common difference, find the value of y.
A bag contains some red, some green and 9 blue balls. Ratio of number of red to green ball in the bag is 5:4. If the probability of drawing a red ball is \(\frac{1}{6}\) more than that of drawing a blue ball then find the probability of getting three different coloured ball when three balls are drawn from the bag one after another and without replacement.
Vrushali invested Rs. (X+3000) on compound interest of r% p.a. compounded annually for 2 years and Tarushi invested Rs. (X – 2000) on simple interest of (r-2)% p.a. for 3 years. The total interest received by both of them is together Rs. 12360. If Anant invested Rs. (X + 8000) on simple interest for 3 years on 15% and received an interest of Rs. 13500, find the value of ‘r’.

Select the correct word from the following list and fill in the blanks.
float, water, crop, nutrients, preparation

  1. The same kind of plants grown and cultivated on a large scale at a place is called ____.
  2. The first step before growing crops is ____ of the soil.
  3. Damaged seeds would ____ on top of water.
  4. For growing a crop, sufficient sunlight and ____ and ____ from the soil are essential.
For the differential equations , find a particular solution satisfying the given condition:\((x^3+x^2+x+1)\frac{dy}{dx}=2x^2+x;y=1\) when \(x=0\)
For the reaction $ {NH_3 + OCl^{-} -> N_2H_4 + Cl^{-}}$ the coefficient of $N_2H_4$ in the balanced equation will be
Explain how deforestation leads to reduced rainfall.
What is suggested by the image 'massive weight of Uncle's wedding band'?
Difference between $S$ and $S^{2-}$ as $S^{2-}$ has
Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube: 
  1. 81 
  2. 128 
  3.  135 
  4.  192 
  5.  704
Measure and classify each angle:
Measure and classify each angle
Angle Measure Type 
\(∠AOB\)  
\(∠AOC\)   
\(∠BOC\)  
\(∠DOC \)  
\(∠DOA\)   
\(∠DOB\)  
Express the following numbers in standard form.
(i) 0.0000000000085
(ii) 0.00000000000942
(iii) 6020000000000000
(iv) 0.00000000837
(v) 31860000000

If liquids A and B form an ideal solution, then

Three capacitors each of capacitance 9 pF are connected in series. 

(a) What is the total capacitance of the combination? 

(b) What is the potential difference across each capacitor if the combination is connected to a 120 V supply?