Question 4 :
If $x(5\, -\, a)\, =\, 10\, -\, x^{2}$ and x = 2, find the value of 'a'.
Question 5 :
The sum of the two numbers is $12$ and their product is $35$. What is the sum of the reciprocals of these numbers?
Question 7 :
Solve the following equation: $(x\, -\, 2)^{2}\, =\, (x\, +\, 1)\, (x\, -\, 1)$
Question 8 :
If one-third of a two digit number exceeds its one-fourth by $8$, then what is the sum of the digits of the number?
Question 9 :
A bag contains Rs. $90$ in coins. If coins of $50$ paise, $25$ paise, and $10$ paise are in the ratio $2 : 3: 5$, the number of $25$ paise coins in the bag is
Question 12 :
IF the lines$ \displaystyle y=m_{1}x+c $and $y=m_{2}x+c_{2} $ are parallel , then
Question 14 :
If $\sqrt{10+ \sqrt{25+ \sqrt{x+ \sqrt{154+ \sqrt{225}}}}} = 4$ find the value of $x$
Question 15 :
Solve the following linear equations. If $\cfrac{3t-2}{4}-\cfrac{2t+3}{3} = \cfrac{2}{3}-t$, then $t  $ is equal to<br/>
Question 18 :
A person bought 5 tickers from a station P to a station Q and 10 tickets from the station P to a station R. He paid Rs 350. If the sum of a ticket from P to Q and a ticket from P to R is Rs 42, then what is the fare from P to Q?
Question 19 :
Solve the following equation for the value of $x$: $6\sqrt [ 3 ]{ x } -24=6$.
Question 21 :
Which of the following is the solution of the equation$\displaystyle \frac{7y+4}{y+2}=\frac{-4}{3}$ ?<br>
Question 22 :
Ishika and her grandfather both had birthdays last week. The sum of their ages is $100$ years. Her grandfather's age is $4$ times Ishika's age. How old is Ishika?
Question 24 :
A train running at the rate of 40 km/h passes a man riding parallel to the railway line in the same direction at 25 km/h in 48 seconds.Find the length of the train in metres.
