In a packet of 40 pens, 12 are red. So, what % age are red pens?

Consider the following compounds, which of these will release CO₂ with 5% NaHCO₃ ?
i)
ii)
iii) 

1. (i) and (ii)    
2. (i) and (iii)    
3. (i),(ii) and (iii)    
4. (ii) and (iii)    

Identify the product' Y' in the following reaction sequence:

1. cyclobutane    
2. cyclopentane    
3. pentane    
4. cyclopentanone    

In homogeneous catalytic reactions, there are three alternative paths A,B and C (shown in the figure) which one of the following indicates the relative ease with which the reaction can take place?

In a spontaneous adsorption process

1. ΔH is positive    
2. ΔH is zero    
3. all the above    
4. ΔH is sufficiently negative    

Graph between log and log P is a straight line at angle 0 45 with intercept OA as shown Hence , at a pressure of 2 atm is

1. 2    
2. 1    
3. 8    
4. 4    

If and   then

Assertion : For the volume of the parallel piped formed by vectors and is maximum (The vectors form a right-handed system)
Reason: The volume of the parallel piped having three coterminous edges and

1. Statement is true, statement is true; statement is a correct explanation for statement    
2. Statement is true, statement is true statement is not a correct explanation for statement    
3. Statement is true, statement is false    
4. statement is false, statement is true    

Assertion (A): Let . If such that is collinear with and is perpendicular to is possible, then .
Reason (R): If and are non-zero, non-collinear vectors, then can be expressed as where is collinear with and is perpendicular to

1. statement is false, statement is true    
2. Statement is true, statement - 2 is true; statement is a correct explanation for statement    
3. Statement is true, statement is true statement is not a correct explanation for statement    
4. Statement - 1 is true, statement is false    

Statement If are distinct non-negative numbers and the vectors â and are coplanar then is arithmetic mean of and .
Statement -2: Parallel vectors have proportional direction ratios.

1. Statement is True, Statement is True; Statement is a correct explanation for Statement - 1    
2. Statement is False, Statement is True    
3. Statement is True, Statement is False    
4. Statement is True, Statement is True; Statement is NOT a correct explanation for Statement - 1    

If and is a vector satisfying .
Assertion can be expressed in terms of and .
Reason

1. Statement is true, statement - 2 is true statement - 2 is not a correct explanation for statement    
2. Statement - 1 is true, statement - 2 is false    
3. statement - 1 is false, statement - 2 is true    
4. Statement - 1 is true, statement - 2 is true; statement - 2 is a correct explanation for statement    

If are non-zero vectors such that then
Assertion : Least value of is
Reason (R): The expression is least when magnitude of is

1. statement - 1 is false, statement - 2 is true    
2. Statement is true, statement - 2 is true statement - 2 is not a correct explanation for statement    
3. Statement - 1 is true, statement - 2 is false    
4. Statement - 1 is true, statement - 2 is true; statement - 2 is a correct explanation for statement    

Statement- 1: If and and , then there exist real numbers , such that
Statement- 2: are four vectors in a 3 - dimensional space. If are non-coplanar, then there exist real numbers such that

1. Both are true is reason for    
2. Both are false    
3. Both are true & but is not reason for .    
4. is true, is false    

Statement- :If are non-collinear points. Then every point in the plane of , can be expressed in the form
Statement- :The condition for coplanarity of four points is that there exists scalars not all zeros such that   where .

1. Both are true but is not reason for .    
2. Both are true & is reason for .    
3. Both are false    
4. is true, is false    

Assertion (A): The number of vectors of unit length and perpendicular to both the vectors. and is zero Reason
(R): and are two non-zero and non-parallel vectors it is true that is perpendicular to the plane containing and

1. statement - 1 is false, statement - 2 is true    
2. Statement is true, statement is true statement is not a correct explanation for statement    
3. Statement is true, statement - 2 is true; statement is a correct explanation for statement    
4. Statement - 1 is true, statement - 2 is false    

The value of for which the straight lines and are coplanar is

1. -1    
2. 1    
3.    
4. 2