Question 3 :
On a hill, the temperature at $8$ p.m. was $2^o$C but at the mid-night of the same day, it fell down to $-3^o$C. By how many degrees did the temperature fall?

Question 4 :
Without actual multiplication, then value of$687 \times 687 - 313 \times 313$

Question 5 :
An urn contains one black ball and one green ball. A second urn contains one white and one green ball. One ball is drawn at random from each urn.Find the probability of getting at least one green ball.

Question 6 :
What is the probability of getting a king if a card is drawn from a pack of $52$ cards?

Question 7 :
Three fair dice are thrown. The probability of getting a sum $6$ or less on the three dice is

Question 8 :
What is the average (arithmetic mean) of all numbers multiples of $6$ from $6$ to $510$ inclusive?

Question 9 :
The denominator of fraction is 6 more than its numerator. If 2 is added to both the numerator and denominator, the fraction becomes $1/2$. Find the fraction.

Question 10 :
In the numeration system with base $5$, counting is as follows : $1, 2, 3, 4, 10, 11, 12, 13, 14, 20$,____. The number whose description in the decimal system is $69$, when described in the base $5$ system, is a number with:

Question 11 :
Which of the following sets of side lengths will not form a triangle?

Question 12 :
In&#160;$ \bigtriangleup&#160;$ ABC, $ D $&#160;is a point on $ BC $&#160;such that $ AB= AD= BD= DC $, then:&#160;<br/>$ \angle ADC : \angle C= 3 : 1 $.<br/><br/>

Question 13 :
A string of length $12$cm is bent first into a square $PQRS$ and then into an isosceles triangle $PQT$ by keeping the side $PQ$ of the square as base then what is area of the square $PQRS$: area of the triangle $PQT =$

Question 14 :
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 16 :
Frame the given statement into a mathematical expression: &#34;Thrice of a number increased by $150$.&#34;

Question 17 :
Indian cricket team won 4 morematches than it lost with NewZealand. If it won$\displaystyle \frac{3}{5}$of its matches,how many matches did India play ?

Question 18 :
If $\dfrac{2}{3}p - 2\dfrac{1}{2} = 3\dfrac{1}{2}$, then the value of $p$ is .........

Question 20 :
In countries like USA and Canada temperature is measured in Fahrenheit where as in countries like India, it is measured in Celsius. Here is a liner equation that converts Fahrenheit to Celsius $F = \left( \dfrac{9}{5} \right ) C + 32$<br/>If the temperature is $0^0$C, what is the temperature in Fahrenheit and if the temperature is $0^0$F, what is the temperature in Celsius

Question 24 :
Consider the lines $\frac{x}{2} = frac{y}{3} = frac{z}{5}$ and $\frac{x}{1} = frac{y}{2} = frac{z}{3}$, then the equation of the line which

Question 25 :
For&#160;$\displaystyle \Delta ABC$ and&#160;$\displaystyle \Delta PQR$, $AB=PQ, AC=PR,$ and&#160;$\displaystyle \angle A=\angle P,$ then:

Question 26 :
In $\bigtriangleup ABC and&#160;\bigtriangleup QRP, AB =QR,\angle B=\angle R\:and \: \angle C=\angle P.$ By A.S.A, $\triangle ABC$ and $\triangle QRP$ are similar

Question 27 :
Simple interest on a certain amount is&#160;$\displaystyle \frac{9}{16}$ of the principal. If the number representing the rate of interest in percent and time in year be equal then the time is-

Question 28 :
Wasim borrowed some money at $6\%$ p.a simple interest for the first four years, $8\%$ p.a. for the next three years and $10\%$ p.a for a period beyond $7$ years. At the end of $12$ years, he earned Rs$5880$ as simple interest. How much money did he borrow?

Question 30 :
<p>State whether the statements given are True or False</p><p>In a rational number, denominator always has to be a non-zero integer.</p>

Question 32 :
Let $\alpha, \beta, \gamma$ and $\delta$ are four positive real number such that their product is unity, then the least value of $(1+\alpha)(1+\beta)(1+\gamma)(1+\delta)$ is:<br/>