Question 1 :
The term independent of $x$ in the expansion of $\left(\sqrt{\dfrac{x}{3}}+\dfrac{3}{2x^{2}}\right)^{10}$ will be

Question 3 :
Sum of the coefficients of $ (1+x)^n $ is always a<br>

Question 4 :
<br/>The expansion $\left(\displaystyle x-\frac{x^{2}}{2}\right)^{40}$ is a polynomial of&#160;$n^{th}$ degree in $x,$ then $n =$<br/>

Question 5 :
The number of terms in the expansion of $ (1+5\sqrt{2}x)^9 + (1-5\sqrt{2}x)^9 $ is :<br/>

Question 6 :
If $n=10$ then ${ C }_{ 0 }^{ 2 }-{ C }_{ 1 }^{ 2 }+{ C }_{ 2 }^{ 2 }-{ C }_{ 3 }^{ 2 }+....+{ (-1) }^{ n }{ C }_{ n }^{ 2 }\quad $ equals

Question 8 :
Ordered pair that satisfy the equation $x + y + 1 &lt; 0$ is:

Question 9 :
Find the number of real numbers in the&#160;solution set of following<br/>$\displaystyle \frac{2x}{5} + 1 &lt; - 3$.

Question 11 :
If x $\epsilon$ I, the solution set of the inequation $-2 \leq x &lt; 3$ is&#160;

Question 12 :
Choose correct option which suitably represents value of $x$.$x&lt;5$, $x\in N$

Question 13 :
The given table shows the possible food choices for lunch. How many different types of lunch can be made each including $1$ type of soup, $1$ type of sandwich and $1$ type of salad?<table class="wysiwyg-table"><tbody><tr><td colspan="3">&#160; &#160; &#160; &#160; &#160; &#160; &#160;Lunch Choices</td></tr><tr><td>Soup</td><td>Sandwich</td><td>Salad</td></tr><tr><td>Chicken</td><td>Cheese</td><td>Vegetable</td></tr><tr><td>Tomato</td><td>Paneer</td><td>Fruit</td></tr></tbody></table>

Question 14 :
How many different signals can be transmitted by arranging 3 red, 2 yellow and 2 green flags on a pole? [Assume that all the 7 flags are used to transmit a signal].

Question 15 :
A group consists of 4 couples in which each of the 4 persons have one wife each. In how many ways could they be arranged in a straight line such that the men and women occupy alternate positions?

Question 16 :
The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word COCHIN is

Question 17 :
The number of possible words formed by rearranging the letters of the word $ACCESS$ are:

Question 18 :
The number of such numbers which are divisible by two and five (all digits are not different) is

Question 19 :
Number of ways 6 rings can be worn on four fingers of one hand?

Question 20 :
Plane $ax + by + cz = 1$ intersect axes in $A, B, C$ respectively. If $G\left (\dfrac {1}{6}, -\dfrac {1}{3}, 1\right )$ is a centroid of $\triangle ABC$ then $a + b + 3c =$ _________.

Question 21 :
The points (2, 5) and (5, 1) are the two opposite vertices of a rectangle. If the other two vertices are points on the straight line $y = 2x + k$, then the value of k is

Question 24 :
If the plane a&#160;&#160;$2x-3y+5_{Z}-2=0$&#160;divides the line&#160;segment joining $(1, 2, 3)$ and $(2, 1, k)$ in the ratio $9 : 11$, then $k$ is<br/>