List of practice Questions

The compound ${[Pt(NH3)2Cl2]}$ can exhibit

The compound that undergoes dehydration very easily is

The displacement of a particle moving along $x$-axis with respect to time $t$ $x=at+bt^{2}+ct^{3}$ . The dimensions of $c$ are

The distance $x$ covered by a particle varies with time $t$ as $x^{2}=2t^{2} +6i +1.$. Its acceleration varies with $x$ as

The neopentyl halide in ethanol yields alkenes by $E1$ mechanism due to

The values if ?H and ?S for the reaction C(graphite) + CO(g) ?2CO(g) Are 170 kJ and 170 JK-1 respectively. The reaction will be spontaneous only a

Three thin wires of equal length are suspended from the top of a roof. The respective ratio of their area of cross section is $1 : 2 : 4$ and Young?s modulii is $4 : 2 : 1$, then the ratio of their weights to be attached at the other ends to obtain same elongation in them is

Which among the following statements are correct? (i) Carbon monoxide is neutral whereas $ S0_3 $ is acidic (ii) Potassium oxide is basic whereas nitrous oxide is acidic (iii) Aluminium and zinc oxides are amphoteric (iv) Sulphur trioxide is acidic whereas phosphorus pentoxide is basic (v) Carbon dioxide is netural whereas sulphur dioxide is amphoteric

Which of the following is the least basic amine?

Which of the following molecule is planar?

Which of the following pair have identical bond order?

How does the poet imagine her to be, after death? Does he think of her as a person living in a very happy state (a ‘heaven’)? Or does he see her now as a part of nature? In which lines of the poem do you find your answer?

If $x=5+2$ sec $\theta$ and $y=5+2\, \tan \, \theta ,$ then $\left(x-5\right)^{2}-\left(y-5\right)^{2}$ is equal to

Let $O$ be the origin and $A$ be the point $(64, 0).$ If $P$, $Q$ divide $OA$ in the ratio $1 : 2 : 3$ , then the point $P$ is

The order of the differential equation $\left(\frac{d^{3}\, y }{dx^{3}}\right)^{2} + \left(\frac{d^{2}\,y}{dx}\right)^{2} + \left(\frac{dy}{dx}\right)^{5} = 0 $ is

The total revenue in rupees received from the sale of x units of a product is given by $ R(x)=13{{x}^{2}}+26x+15 $ . Then, the marginal revolution rupees, when $ x=15 $ is

There are $10$ persons including $3$ ladies. A committee of $4$ persons including at least one lady is to be formed. The number of ways of forming such a committee is

For an isolated system, ∆U=0, what will be ∆S ?

Find the perimeter of each of the following shapes : 

1. A triangle of sides 3 cm, 4 cm and 5 cm. 
2.  An equilateral triangle of side 9 cm. 
3.  An isosceles triangle with equal sides 8 cm each and third side 6 cm.

A road roller takes 750 complete revolutions to move once over to level a road. Find the area of the road if the diameter of a road roller is 84 cm and length is 1 m.

If $ \overrightarrow{a},\text{ }\overrightarrow{b},\text{ }\overrightarrow{c} $ are non-coplanar and $ (\overrightarrow{a}+\lambda \overrightarrow{b}).[(\overrightarrow{b}+3\overrightarrow{c})\times (\overrightarrow{c}\times 4\overrightarrow{a})]=0, $ then the value of $ \lambda $ is equal to

The image of the interval [-1, 3] under the mapping $f : R\rightarrow R$ given by $f \left(x\right)=4x^{3}-12x$ is

If $A$ and $B$ are square matrices of the same order and if $A=A^{T},B=B^{T},$ then $\left(ABA\right)^{T}=$

If $ x={{\sin }^{-1}}(3t-4{{t}^{3}}) $ and $ y={{\cos }^{-1}}(\sqrt{1-{{t}^{2}}}), $ then $ \frac{dy}{dx} $ is equal to