Question 7 :
A man spends$\displaystyle \frac{1}{5}$ of his salary to meet pocket expenses and$\displaystyle \frac{4}{5}$ of the remainder to meet other expenses If his monthly savings amount to Rs 1200 his monthly salary is
Question 12 :
Twelve years hence a man will be four times ashe was 12 years ago, then his present age is
Question 13 :
If $6 (2a - 1) + 8 = 14$, then the value of $a$ is
Question 14 :
Which of the following pairs of equation have the same solutions?
Question 15 :
Frame the statement into an equation:Adding $16$ to $3$ times $x $ is $39$.
Question 16 :
A child drank 250 lit. on Sunday. On Monday he drank 650 lit. On Tuesday he drank 100 lit. How much in all did the child drink?
Question 18 :
If the cost of ten tea packet of the same size is $Rs\ 250$, then the cost of $25$ tea packets is
Question 21 :
If $7 \left [\dfrac {\left (\dfrac {5x}{3} - \dfrac {3}{2}\right )}{2}\right ] + \dfrac {3}{2} = \dfrac {1}{4}$, then what is the value of $x$?
Question 24 :
Solve for $x$: $\displaystyle \frac{1}{5}(3x\, -\,2)\, -\, \frac{1}{3}(x\, +\, 7)\, +\, 1\, =\, 0$.
Question 25 :
The equation $x -2 = 0$ on number line is represented by
Question 27 :
If $\dfrac{2}{3}p - 2\dfrac{1}{2} = 3\dfrac{1}{2}$, then the value of $p$ is .........
Question 29 :
A number of friends decided to go on a picnic and planned to spend Rs 960 on food. Four of them,however,did not turn up.As a consequence, the remaining ones had to contribute Rs 40 each extra. The number of those who attended the picnic was:
Question 30 :
$\displaystyle \dfrac { -25 }{ 28 } y=\frac { -28 }{ 25 } $, then $ y=$
Question 32 :
In $\displaystyle \frac{2}{3}\, p\, -\, 2\, \displaystyle \frac{1}{2}\, =\, 3\, \displaystyle \frac{1}{2}$,the value of p is
Question 35 :
The value of $m$ in equation $12m - 10 = 6m + 2$ if substituted with '$2$' then it is called _____.<br/>
Question 36 :
The value of the variable which satisfies the equation is called the _____
Question 37 :
A line has length of intersect $2$ and $3$ on x-axis and y-axis respectively, then the possible equation(s) of the line is/are,
Question 38 :
Tiya has $Rs. 59$. She buys a comic book for $Rs. 32$. How much money is left with her?<br>
Question 41 :
If $\square$ persons : 10 persons =7000 paise : Rs.100, then $\square$ means____ .
Question 45 :
The equation __________ and $2x + 2 = 0$ have the same solution.
Question 46 :
The shifting of a number from one side of an equation to the other is called as
Question 47 :
Ram is two years older than Shyam who is twice as old as Mohan. If the total of the ages of Ram, Shyam, and Mohan be 27, then how old is Shyam?<br/>
Question 48 :
If four times a number is 60 then the number is
Question 49 :
Frame the given statement into a mathematical expression: "Thrice of a number increased by $150$."
Question 53 :
The Inverse expression of $x+\cfrac { 1 }{ x } $ will be:
Question 54 :
In the following equation, determine whether the given values are solutions of the given equation.<br/>$2x^2 \, - \, x \, + \, 9 \, = \, x^2 \, + \, 4x \, + \, 3, \, x \, = \, 2, \, x \, = \, 3.$
Question 56 :
A cistern filled in $20$ hours by three pipes A, B and C. The pipe C is twice as fast as B and B is thrice as fast as A. How much hours will pipe A alone take to fill the tank?
Question 57 :
If<br>$\displaystyle 5\frac{1}{6}-\left [ 1\frac{1}{5}+\left \{ 2\frac{3}{4}\div 5\frac{1}{2}\div \chi -\left ( \frac{5}{6}-\frac{2}{3} \right ) \right \} \right ]=2\frac{61}{120}$<br>then the value of x is
Question 58 :
If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation:<br/>
Question 59 :
If $x - \dfrac {1}{x} = \dfrac {1}{3}$, then what is $9x^{2} + \dfrac {9}{x^{2}}$ equal to?
Question 60 :
$28$ is $12$ less than $4$ times a number. Find the number.
Question 61 :
Solve the following equation.<br>i) $10 P + 10 = 100$<br>ii) $12P - 5 = 25$<br>iii) $2(x + 4) = 12$
Question 62 :
$280$ meals are to be prepared by three chefs. Every chef has its own speed but the combined output of all three is modelled by the equation $8x+4x+2x=280$. If $x$ is a positive integer, which of the following could $8x$ represent in the equation?
Question 63 : <p>If $\dfrac{{3x - 1}}{5} - \dfrac{{1 + x}}{2} = 3 - \dfrac{{x - 1}}{2}$  , then x=</p>
Question 66 :
A, B and c can do a piece of work in 12 days, 15 days and 10 days respectively. In what time will they all together finish it?
Question 67 :
If $x$ satisfies the inequalities $x + 7 < 2x + 3$ and $2x + 4 < 5x + 3$, then $x$ lies in the interval.
Question 68 :
The weight of Rahul is $5\ kg$more than Sachin .The weight of Samir is $12\ kg$less than double the weight of Sachin .If the total weight of all the three is $93$, find the weight of each one of them.
Question 69 :
In an event laddoos of same size were distributed among 400 students in which each student got 1 laddoo. If the size of each laddoos was decreased by $50\%$ then to how many students it could be distributed?
Question 70 :
The line represented by $x = 7$ is parallel to the x-axis. Justify whether the statement is true or not.<br/>
Question 72 :
Two numbers have the property that their sum is equal to their product. If one of the numbers is 6, what is the other number?
Question 73 :
Baichung's father is $26$ years younger than Baichung's grandfather and $29$ years older than Baichung. The sum of the ages of all the three is $135$ years. What is the age of each one of them?
Question 74 :
Mohit baked 2000 cookies. He sold 600 of them and gave the rest equally to20 of his friends. How many cookies did each of his friends receive ?
Question 75 :
If $\dfrac {x^{2} + n}{x^{2} + 4} = 1$, then $n =$
