List of practice Questions

Draw the structures of all isomeric alcohols of molecular formula C5H12O and give their IUPAC names. (ii)Classify the isomers of alcohols in question 11.3(i)as primary, secondary and tertiary alcohols.

Evaluate \( \int_1^3 [x - 1] \, dx \)

Draw:

1) a leaf

2) a taproot and

3) a flower,

you have studied for Table 4.3

‘Some leaders are dishonest. Satyapriya is a leader.’ Which of the following inferences definitely follows from these statements ?
Give four rational numbers equivalent to:
(i)\(\frac{-2}{7}\)
(ii) \(\frac{5}{-3}\)
(iii) \(\frac{4}{9}\)
Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.
The current drawn by the primary of a transformer, which steps down $200\,V$ to $20\,V$ to operate a device of resistance $20\,\Omega $. is (Assume the efficiency of the transformer to be $80\, \%$)
$ {{(C{{H}_{3}})}_{3}}CMgCl $ on reaction with $ {{D}_{2}}O $ produces
What incidents during the Everest expedition show Santosh’s concern for her team-mates?
Let the domains of the functions $ f(x) = \log_4 \log_3 \log_7 (8 - \log_2(x^2 + 4x + 5)) $ and $ g(x) = \sin^{-1} \left( \frac{7x + 10}{x - 2} \right)$ be $ (\alpha, \beta) $ and $ [\gamma, \delta] $, respectively. Then $ \alpha^2 + \beta^2 + \gamma^2 + \delta^2 $ is equal to:
In a group of 100 people, 70 like coffee, 60 like tea, and 45 like both coffee and tea. How many people like neither coffee nor tea?
Find the number of digits in the square root of each of the following numbers (without any calculation). 
  1. 64 
  2. 144 
  3.  4489 
  4.  27225
  5.  390625
Dr Sadao was compelled by duty as a doctor to help the enemy soldier. What made Hana, his wife, sympathetic to him in the face of open defiance from the domestic staff?
The number of words, with or without meaning, that can be formed using all the letters of the word ASSASSINATION so that the vowels occur together, is________
Add the following. a – b + ab, b – c + bc, c – a + ac.
A body has a charge of -3.2μC . The number of excess electrons it has is
Evaluate
  1. \(\frac{ (8^{−1}× 5^3)}{2^{−4}} \)
  2. \((5^{−1}× 2^{−1})×6^{−1}\)
The angular velocity of earth's rotation about its axis is $'\omega'.$ An object weighed by a spring balance gives the same reading at the eiquator as at a height 'h' above the poles. The value o f 'h' will be
8.8 g of monohydric alcohol added to ethyl magnesium iodide in ether liberates 2240 cm3 of ethane at STP. This monohydric alcohol when oxidised using pyridinium-chlorochromate, forms a carbonyl compound that answers silver mirror test (Tollens’ test). The monohydric alcohol is :
A circle x2 + y2 = 8 and a parabola y2 = 2x are given. Find area bounded by these two curves in first quadrant which lie inside the circle and outside the parabola.
The length of an arc of a circle of radius 12 cm is $10\pi$. Find the central angle of this arc.

Find the general solution: \(\frac {dy}{dx}+(sec\ x)y=tan x, \ (0≤x<\frac \pi2)\)

Find the local maximum value and local minimum value (whichever exists) for the function \[ f(x) = 4x^2 + \frac{1}{x}, \quad (x \neq 0). \]
An electric blub of 60 W, 120 V is to be connected to 220 V source. What resistance should be connected in series with the bulb, so that the bulb glows properly?
Find the integrals of the function: \(sin^3 (2x+1)\)