Question 1 :
The number of surjections from $A = {1, 2,.....n}, n \leq 2$, onto B = {a, b} is

Question 2 :
The given below input rearranges step-by-step in particular order according to a set of rules. In this case the last step of arranged input is Step V.<br/>Input : &#160;85 16 36 04 19 97 63 09&#160;<br/>Step I : &#160;97 85 16 36 04 19 63 09<br/>Step II : 97 85 63 16 36 04 19 09<br/>Step III : 97 85 63 36 16 04 19 09<br/>Step IV : 97 85 63 36 19 16 04 09<br/>Step V : 97 85 63 36 19 16 09 04<br/>Study the above arrangement carefully and then answer the following question.<br/>Which of the following will be step III for their input below?<br/>Input : 09 25 16 30 32 18 17 06<br/><br/>

Question 3 :
If $a , b , c , d$ are the sides of a quadrilateral, then the minimum value of $\frac { a ^ { 2 } + b ^ { 2 } + c ^ { 2 } } { d ^ { 2 } }$ is

Question 4 :
Write the turth value (T/F) of each of the following statements :<br>Two lines may intersect in two points.<br>

Question 5 :
If the $HCF$ of two numbers is one of the numbers, then their $LCM$ si the other number.

Question 6 :
When an army commander arranged to transport his battalion of soldiers, he considered $30-$ seater, $40-$ seater, and $50$-seater buses. In all three cases, he found that $10$ seats were left vacant. What is the smallest number of soldiers in his battalion?

Question 8 :
Study the following statements carefully.<br>Statement $1$: $0.35+0.42-0.58 &gt; 0.93-0.62+0.15$<br>Statement $2$: Any two decimal numbers can be compared among themselves. The comparison start with whole part. If the whole parts are equal, then the tenth parts can be compared and so on.<br>Which of the following options hold?<br>

Question 9 :
Numerator in the fraction$\displaystyle \frac { 2 }{ 8 }$ is

Question 12 :
$\displaystyle \frac { 0.99999999 }{ 1.0001 } -\frac { 0.99999991 }{ 1.0003 } =$

Question 13 :
Using ruler and compasses only, construct atriangle POR such that $\angle P = 120^{\circ}$, PO = 5 cm PR = 6 cm.In the same figure, find a point which is equidistant from its sides. Name this pointWith this point as centre draw a circle touching all the sides of the triangle.

Question 14 :
If the area of an equilateral triangle is $25\sqrt{3}$ sq. cms, then find its side.

Question 16 :
In an isosceles triangle $A B C , A B = A C = 25 \mathrm { cm }$ and $B C = 14$ cm The measure of an altitude from $A$ on BC in $cm$ is

Question 17 :
Let $D$ represent a repeating decimal. If $P$ denotes the $r$ figures of $D$ which do not repeat themselves, and $Q$ denotes the $s$ figures which do repeat themselves, then the incorrect expression is

Question 18 :
What should be added to $ 3.07 $ toget $ 3.5? $

Question 19 :
If the perimeter of a regular hexagon is $x$ metres, then the length of each of its sides is

Question 20 :
Perimeter of a square garden is $444$ m. Then its side measures

Question 21 :
A playground which is $ 250$ m long and $20$ m broad is to be fenced with wire. How much wire is needed?

Question 23 :
If $\dfrac{2+3}{x}=\dfrac{2+x}{3}$<br/>What one value for $x$ can be correctly entered into the answer grid?<br/>

Question 26 :
A bookshelf holds both paperback and hardcover books. The ratio of paper back books to hardcover books is $22$ to $3$. How many paperback books are on the shelf ?If $18$ paperback books were removed from the shelf and replaced with $18$ hardcover&#160;books, the resulting ratio of paperback books to hardcover books on the shelf&#160;would be $4$ to $1$