List of practice Questions

Ratio of two sides of polygon is 1:2 and ratio of their interior angle is 3:4. Find the number of sides of the polygon with more number of sides.

Two boats met at a point and one of them moves towards West while one towards South. After 2 hours, distance between them is 60 km. Find the speed of the slower boat if the difference in two speeds is 6 kmph.

Aru bought a new cushion cover from the market. Though the material is cotton, she was not happy with the plain cushion cover and planned to dye it with a colour. She followed the process as shown in the diagram. Find out the pattern she got after dyeing the cover.

Find out the correct option(s) which can be used to create the image on the left. You can duplicate, rotate, and reflect these options to achieve the same.

The figure on the left was made using white and black ribbons. If all black ribbons in the vertical direction are replaced by white and all white ribbons in the horizontal direction are replaced by black, then find out the resulting figure.

Let S = {1, 2, 3, 4, 5, 6}. Then the number of one-one functions \(f : S → P(S)\), where \(P(S)\) denotes the power set of S, such that \(f(n) ⊂ f(m)\) where \(n < m,\) is:

Indicate which of the following molecular characteristics will be expected to increase the solubility of a simple solute in an aqueous solution:

Write the chemical equation for Hell-Volhard-Zelinsky reaction.

Find out the right pair for the shoe shown on the left from the given options.

A fish rising vertically upward with a uniform velocity of 8 ms^-1, observes that a bird is diving vertically downward towards the fish with the velocity of 12 ms^-1. If the refractive index of water is \(\frac{4}{3}\) , then the actual velocity of the diving bird to pick the fish, will be _______ ms^-1

Use any one of the following pairs of words in your own sentences to make the difference in their meanings clear: idle – ideal
birth – berth

Among the following, the number of compounds which will give positive iodoform reaction is ____ .
(a) 1-Phenylbutan-2-one
(b) 2-Methylbutan-2-ol
(c) 3-Methylbutan-2-ol
(d) 1-Phenylethanol
(e) 3,3-dimethylbutan-2-one
(f) 1-Phenylpropan-2-ol

Let \(f(x)\) be a quadratic polynomial with leading coefficient 1 such that \(f(0) = p, p≠0\) and \(f(1)=\frac{1}{3}\). If the equation \(f(x) = 0\) and \(fofofof(x) = 0\) have a common real root, then \(f(–3)\) is equal to.......................

What is genetic engineering? Write down two applications of genetic engineering in the field of health.

Explain with reasons:
(i) Sulphuric acid is not used in the reaction of alcohol and KI.
(ii) Haloalkanes form alkyl cyanide as chief product on reaction with KCN, while isocyanide as chief product on reaction with AgCN.
(iii) Although chlorine is an electron withdrawing group, even then it is ortho- and para-directing in aromatic electrophilic substitution reactions.