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MCQOPTIONS
This section includes 1900 Mcqs, each offering curated multiple-choice questions to sharpen your 9th Class knowledge and support exam preparation. Choose a topic below to get started.
| 801. |
A straight line parallel to the y-axis has equation ____. |
| A. | \[x=a\] |
| B. | \[~y=a\] |
| C. | \[y=x\] |
| D. | \[~y=-x\] |
| Answer» B. \[~y=a\] | |
| 802. |
Which of the following is correct with respect to the line\[x+1=0\]? |
| A. | It is parallel to \[y\text{-}\]axis. |
| B. | It passes through\[(0,\,\,-1)\]. |
| C. | It is parallel to x-axis. |
| D. | It passes through\[(0,\,\,0)\]. |
| Answer» B. It passes through\[(0,\,\,-1)\]. | |
| 803. |
\[ax+by++c=0\]does not represent an equation of line, if ____. |
| A. | \[a=c=0,b\ne 0\] |
| B. | \[b=c=0,a\ne 0\] |
| C. | \[a=b=0\] |
| D. | \[c=0,a\ne 0,b\ne 0\] |
| Answer» D. \[c=0,a\ne 0,b\ne 0\] | |
| 804. |
In the rectangular coordinate system given below, the shaded region is bounded by two straight lines. Which of the following is not an equation of one of the boundary lines? |
| A. | \[x=0\] |
| B. | \[x=1\] |
| C. | \[x-y=0\] |
| D. | \[x+2y=2\] |
| Answer» D. \[x+2y=2\] | |
| 805. |
What is the equation of \[X\text{-}\]axis? |
| A. | \[x=0\] |
| B. | \[x=-2\] |
| C. | \[y=0\] |
| D. | \[y=-2\] |
| Answer» D. \[y=-2\] | |
| 806. |
Which of the following statements best models every linear equation in two variables x and y? |
| A. | A straight line parallel to \[x\text{-}\]axis |
| B. | A straight line parallel by \[y\text{-}\]axis |
| C. | A straight line |
| D. | A straight line that passes through the origin |
| Answer» D. A straight line that passes through the origin | |
| 807. |
Find the equation of the line that passes through the points \[(5,\,\,15)\] and\[(10,\,\,20)\]. |
| A. | \[y=x+10\] |
| B. | \[y=x-30\] |
| C. | \[y=x+30\] |
| D. | \[y=x+15\] |
| Answer» B. \[y=x-30\] | |
| 808. |
The graph of the linear equation \[2x+3y=6\] is a line which meets the\[x-\]axis at the point |
| A. | (0, 2) |
| B. | (2, 0) |
| C. | (3, 0) |
| D. | (0, 3) |
| Answer» D. (0, 3) | |
| 809. |
Which of the following is the equation of a line parallel to\[y\text{-}\]axis? |
| A. | \[y=-2\] |
| B. | \[y=0\] |
| C. | \[y=5\] |
| D. | \[x=-4\] |
| Answer» E. | |
| 810. |
\[x=3\]and \[y=-1\] is a solution of which of the linear equations given? |
| A. | \[x+y=3\] |
| B. | \[2x+y=3\] |
| C. | \[x+2y=1\] |
| D. | \[2x-y=1\] |
| Answer» D. \[2x-y=1\] | |
| 811. |
The total value of a collection of coins of denominations \[Rs.\,\,1.00,\,\,50\]paise, \[25\] paise, \[10\] paise and \[5\] paise, is\[Rs.\,\,380\]. If the number of coins of each denomination is the same, find the number of one-rupee coins. |
| A. | \[160\] |
| B. | \[180\] |
| C. | \[200\] |
| D. | \[220\] |
| Answer» D. \[220\] | |
| 812. |
The breadth of a rectangular room is \[2\,\,m\] less than its length\[(l)\]. If the perimeter of the room is\[14\,\,m\], find the length \[(l)\] and breadth \[(b)\] of the room. |
| A. | \[l=2.5\,\,m,\,\,b=4.5\,\,m\] |
| B. | \[l=3.5\,\,m,\,\,b=3.5\,\,m\] |
| C. | \[l=4.5\,\,m,\,\,b=2.5\,\,m\] |
| D. | \[l=2.5\,\,m,\,\,b=5.5\,\,m\] |
| Answer» D. \[l=2.5\,\,m,\,\,b=5.5\,\,m\] | |
| 813. |
The course of an enemy submarine as plotted on a set of rectangular axes is\[2x+3y=5\]. On the same axes the course of the destroyer is indicated by\[x-y=10\]. What is the point \[(x,\,\,y)\] at which the submarine can be destroyed? |
| A. | \[(-7,\,\,3)\] |
| B. | \[(-3,\,\,7)\] |
| C. | \[(3,\,\,-7)\] |
| D. | \[(7,\,\,-3)\] |
| Answer» E. | |
| 814. |
How many solutions does a linear equation in two variable have? |
| A. | \[1\] |
| B. | Infinite |
| C. | \[2\] |
| D. | \[0\] |
| Answer» C. \[2\] | |
| 815. |
In a class, \[\frac{3}{5}\] of the students are girls and rest are boys. If \[\frac{2}{9}\] of the girls and \[\frac{1}{4}\] of the boys are absent, what part of the total number of students are present? |
| A. | \[\frac{23}{30}\] |
| B. | \[\frac{23}{36}\] |
| C. | \[\frac{18}{49}\] |
| D. | \[\frac{17}{25}\] |
| Answer» B. \[\frac{23}{36}\] | |
| 816. |
If \[a\] and \[b\] are real numbers, when does the equation \[3x-5+a=bx+1\] has a unique solution\[x\]? |
| A. | for all \[a\] and \[b\] |
| B. | no root |
| C. | if\[a\ne 6\] |
| D. | if\[b\ne 3\] |
| Answer» E. | |
| 817. |
A student was asked to divide a number by\[17/8\]. Instead, he actually multiplied it by \[17/8\] and hence got \[225\] more than the expected answer. What was the expected answer? |
| A. | \[126\] |
| B. | \[136\] |
| C. | \[64\] |
| D. | \[84\] |
| Answer» D. \[84\] | |
| 818. |
A woman sells to the first customer half her stock and half an apple, to the second customer she sells half her remaining stock and half an apple, and so on to the third, and to a fourth customer. She finds that she has now \[15\] apples left. How many apples did she have before she started selling? |
| A. | \[63\] |
| B. | \[127\] |
| C. | \[240\] |
| D. | \[289\] |
| Answer» E. | |
| 819. |
How many linear equations in\[x\]and y can be satisfied by\[~x=2,y=3?\] |
| A. | Only one |
| B. | Only two |
| C. | Infinitely many |
| D. | None of these |
| Answer» D. None of these | |
| 820. |
What does an equation of the form\[ax+by+c=0\], where \[a\] and \[b\] are non-zero numbers represent? |
| A. | A straight line |
| B. | A circle |
| C. | A triangle |
| D. | A quadrilateral |
| Answer» B. A circle | |
| 821. |
Straight lines represented by linear equations \[x+y=2\] and \[5x-3y=2\] intersect at which of the given points? |
| A. | \[(1,\,\,2)\] |
| B. | \[(1,\,\,1)\] |
| C. | \[(2,\,\,1)\] |
| D. | \[(3,\,\,2)\] |
| Answer» C. \[(2,\,\,1)\] | |
| 822. |
The angles of a pentagon are in the ratio\[2:3:3:3:4\]. Find the least angle of the pentagon. |
| A. | \[{{108}^{o}}\] |
| B. | \[{{72}^{o}}\] |
| C. | \[{{27}^{o}}\] |
| D. | \[{{90}^{o}}\] |
| Answer» C. \[{{27}^{o}}\] | |
| 823. |
Which equation represents the relationship between time, \[{{t}_{1}}\] and distance\[,\]\[d\]? Time (hours) Distance (km) 2 90 3 135 4 180 5 225 |
| A. | \[d=t+45\] |
| B. | \[d=45t\] |
| C. | \[t=45d\] |
| D. | \[t=\frac{45}{d}\] |
| Answer» C. \[t=45d\] | |
| 824. |
Two planes start from a city and fly in opposite directions, one averaging a speed of \[40\] km/hour greater than the second. If they are \[3400\,\,km\] apart from \[5\] hours, find the sum of their average speeds. |
| A. | \[680\,\,km/h\] |
| B. | \[360\,\,km/h\] |
| C. | \[320\,\,km/h\] |
| D. | \[640\,\,km/h\] |
| Answer» B. \[360\,\,km/h\] | |
| 825. |
The function \[f(x)=35+15x\] represents the amount of money, in Rupees, Mr. Ramesh earns for working \[x\] hours. How much money does Mr. Ramesh earn for working \[25\] hours? |
| A. | \[Rs.\,\,75\] |
| B. | \[Rs.\,\,375\] |
| C. | \[Rs.\,\,410\] |
| D. | \[Rs.\,\,1250\] |
| Answer» D. \[Rs.\,\,1250\] | |
| 826. |
Mega city High School earned \[Rs.\,\,5100\] on tickets sales for a play. The cost per ticket was\[Rs.\,\,12\]. If \[t\] represents the number of tickets sold to the play, which of the following equations could be used to determine the number of tickets sold for the play? |
| A. | \[12=5100\,\,t\] |
| B. | \[12t=5100\] |
| C. | \[t=5100-12\] |
| D. | \[t=5100.12\] |
| Answer» C. \[t=5100-12\] | |
| 827. |
Rishab rode his bike to a store \[5\,\,km\] from his house. The table given shows the distance from the store paired with the number of minutes after leaving his house. Minutes(x) Kilometres from store (y) \[2\] \[4.3\] \[3\] \[4\] \[5\] \[3.4\] \[8\] \[2.5\] Which of following equations of line best fits for the given data? |
| A. | \[y=-0.2x+4.3\] |
| B. | \[y=-0.2x+6.1\] |
| C. | \[y=-0.3x+4.9\] |
| D. | \[y=-0.3x+6.1\] |
| Answer» E. | |
| 828. |
Three consecutive numbers such that twice the first, \[3\] times the second and \[4\] times the third together make\[191\]. Find the least of the consecutive numbers. |
| A. | \[18\] |
| B. | \[21\] |
| C. | \[19\] |
| D. | \[20\] |
| Answer» C. \[19\] | |
| 829. |
Find\['x'\]if\[\frac{x-2}{x+3}=\frac{x+2}{x-3},\,\,x\ne 3,\,\,x\ne -3\]. |
| A. | \[3\] |
| B. | \[0\] |
| C. | \[1\] |
| D. | \[-2\] |
| Answer» D. \[-2\] | |
| 830. |
If the point (3, 4) lies on the graph of the equation \[3y=ax+7,\] then the value of a is____. |
| A. | \[\frac{2}{3}\] |
| B. | 1 |
| C. | \[\frac{4}{3}\] |
| D. | \[\frac{5}{3}\] |
| Answer» E. | |
| 831. |
If \[x=-2\] and \[y=3\] is the solution of the equation\[3x-5y=k\], find\['k'\]. |
| A. | \[-21\] |
| B. | \[-9\] |
| C. | \[-18\] |
| D. | \[19\] |
| Answer» B. \[-9\] | |
| 832. |
The graph of a system of linear equations is given. Based upon the graph, which is the apparent solution to the system of equations? |
| A. | \[(2,\,\,5)\] |
| B. | \[(3,\,\,4)\] |
| C. | \[(4,\,\,3)\] |
| D. | \[(5,\,\,2)\] |
| Answer» C. \[(4,\,\,3)\] | |
| 833. |
Vihan spent \[Rs.\,\,132\] to buy movie tickets for \[20\] children and \[4\] adults. Adult tickets cost \[Rs.\,\,3\] more than child tickets. If \[A\] is the price of an adult ticket and \[S\] is the price of a child ticket, which system of equations could be used to find the price of each adult and child ticket? |
| A. | \[\left\{ \begin{align} & S=A+3 \\ & 4A+20S=132 \\ \end{align} \right.\] |
| B. | \[\left\{ \begin{align} & A=S+3 \\ & 4A+20S=132 \\ \end{align} \right.\] |
| C. | \[\left\{ \begin{align} & A=S+3 \\ & 20A+4S=132 \\ \end{align} \right.\] |
| D. | \[\left\{ \begin{align} & A=S+3 \\ & A+S=132 \\ \end{align} \right.\] |
| Answer» C. \[\left\{ \begin{align} & A=S+3 \\ & 20A+4S=132 \\ \end{align} \right.\] | |
| 834. |
How many kilograms of tea at \[50\] per kg should be mixed with \[35\,\,kg\] of tea costing \[Rs.\,\,60\] per kg so as to sell the mixture at \[Rs.\,\,57\] per kg without gaining or losing anything in the transaction? |
| A. | \[5\,\,kg\] |
| B. | \[7\,\,kg\] |
| C. | \[25\,\,kg\] |
| D. | \[15\,\,kg\] |
| Answer» E. | |
| 835. |
If the expressions \[y-10\] and \[24-y\] are equal, what is the value of\[y\]? |
| A. | \[34\] |
| B. | \[14\] |
| C. | \[17\] |
| D. | \[12\] |
| Answer» D. \[12\] | |
| 836. |
Match the linear equations in column-l with their solutions in column-ll. Column - I Column ?II (i) \[4x+3y=24\] (i) \[(2,-3)\] (ii) \[\frac{x}{2}-\frac{y}{3}=2\] (ii) \[(2,3)\] (iii) \[3x+5y=15\] (iii) \[(3,4)\] (s) \[\frac{x-2}{3}=y-3\] (iv) \[\left( \frac{9}{3},\frac{6}{5} \right)\] |
| A. | \[(p)\to (iii),(Q)\to (ii),(r)\to (iv),(S)\to (iii)\] |
| B. | \[(p)\to (iii),(Q)\to (i),(r)\to (iv),(S)\to (ii)\] |
| C. | \[(p)\to (ii),(Q)\to (iv),(r)\to (i),(S)\to (iii)\] |
| D. | \[(p)\to (iii),(Q)\to (iv),(r)\to (i),(S)\to (ii)\] |
| Answer» C. \[(p)\to (ii),(Q)\to (iv),(r)\to (i),(S)\to (iii)\] | |
| 837. |
If the point \[(2p,\,\,p-3)\] lies on the graph of the equation\[3x+2y+12=0\], find the value of\[p\]. |
| A. | \[\frac{-3}{4}\] |
| B. | \[\frac{7}{15}\] |
| C. | \[\frac{-1}{6}\] |
| D. | \[\frac{6}{7}\] |
| Answer» B. \[\frac{7}{15}\] | |
| 838. |
Which of the following is true? |
| A. | The equation of the \[x\text{-}\]axis is\[y=0\]. |
| B. | The graph of every linear equation in two variable is a curve. |
| C. | \[y=3x+5\]has a unique solution. |
| D. | The graph of the equation\[2y-5=0\] is parallel to \[y\text{-}\]axis. |
| Answer» B. The graph of every linear equation in two variable is a curve. | |
| 839. |
Fill in the blanks. (i) A linear equation in two variables has P solutions(s). (ii) The graph of Q line has an equation of the form\[x=k.\] (iii) A line parallel to \[x-\]axis cuts the y-axis at R point(s). (iv) Distance between the graph of equation y = 2 and y = -4 is S units. |
| A. | P Q R S Zero Horizontal Zero 2 |
| B. | P Q R S Infinite Horizontal Two 6 |
| C. | P Q R S Infinite Vertical One 6 |
| D. | P Q R S Zero Vertical One 2 |
| Answer» D. P Q R S Zero Vertical One 2 | |
| 840. |
Find the point at which the straight lines represented by linear equations \[x-y=2\] and\[3x-2y=7\] intersect. |
| A. | \[(1,\,\,1)\] |
| B. | \[(1,\,\,3)\] |
| C. | \[(2,\,\,2)\] |
| D. | \[(3,\,\,1)\] |
| Answer» E. | |
| 841. |
If the temperature of a liquid can be measured in kelvin units as \[{{x}^{o}}\,K\]or in Fahrenheit units as \[y{}^\circ F.\]The relation between the two systems of measurement of temperature is given by the linear equation. \[y=\frac{9}{5}(x-273)+32\] (i) Find the temperature of the liquid in Fahrenheit if the temperature of the liquid is 313° K. (ii) If the temperature is 158° F, then find the temperature in Kelvin. |
| A. | (i) (ii) 112° F 150°K |
| B. | (i) (ii) 112° F 243° K |
| C. | (i) (ii) 104° F 343° K |
| D. | (i) (ii) 104°F 150°K |
| Answer» D. (i) (ii) 104°F 150°K | |
| 842. |
The equations representing the given graph is____. |
| A. | \[7x+2y=11;y-2x=3\] |
| B. | \[2x+7y=11;5x+(35y/2)=25\] |
| C. | \[3x-7y=10;8y-6x=4\] |
| D. | \[3x-4y=1;8y-6x=4\] |
| Answer» E. | |
| 843. |
Which of the following equations represents a straight line passing through the points \[(1,\,\,6),\,\,(0,\,\,4)\] and\[(-2,\,\,0)\]? |
| A. | \[2x-y=-4\] |
| B. | \[x-2y=-4\] |
| C. | \[2x+y=4\] |
| D. | \[x+2y=-4\] |
| Answer» B. \[x-2y=-4\] | |
| 844. |
Identify the point at which the graph of the equation \[7x-9y-21=0\] cuts \[x\text{-}\]axis. |
| A. | \[(21,\,\,0)\] |
| B. | \[(0,\,\,9)\] |
| C. | \[(3,\,\,0)\] |
| D. | \[(3,\,\,1)\] |
| Answer» D. \[(3,\,\,1)\] | |
| 845. |
A part of monthly expenses of a family on milk is fixed which is Rs. 700 and remaining varies with quantity of milk taken extra at the rate of Rs. 25 per litre. Taking quantity of milk required extra as x litres and total expenditure on milk as Rs. y, write a linear equation from the above information. |
| A. | \[-25x+y=700\] |
| B. | \[20x+y=500\] |
| C. | \[20x+10y=300\] |
| D. | \[x+25y=900\] |
| Answer» B. \[20x+y=500\] | |
| 846. |
Which of the following is true about\[y=4x-3\]? |
| A. | It has a unique solution. |
| B. | It has only two solutions. |
| C. | It has infinitely many solutions. |
| D. | It is a linear equation in one variable. |
| Answer» D. It is a linear equation in one variable. | |
| 847. |
The graph of y= 6 is a line |
| A. | Parallel to \[x-\]axis at a distance of 6 units from the origin. |
| B. | Parallel to y-axis at a distance of 6 units from the origin. |
| C. | Making an intercept of 6 units on the \[x-\]axis. |
| D. | Making an intercept of 6 units on both the axes. |
| Answer» B. Parallel to y-axis at a distance of 6 units from the origin. | |
| 848. |
Rakesh has Rs.\[x\]more than Mohan has, and together they have a total of Rs. y. Which of the following options represents the amount of money that Mohan has? |
| A. | Rs.\[\left( \frac{y-2}{2} \right)\] |
| B. | Rs.\[\left( y-\frac{x}{2} \right)\] |
| C. | Rs. \[\left( \frac{y}{2}-x \right)\] |
| D. | \[(2y-x)\] |
| Answer» B. Rs.\[\left( y-\frac{x}{2} \right)\] | |
| 849. |
Veena heard that it is \[{{82}^{o}}\] Fahrenheit in Ooty. She knows that\[F=\frac{9}{5}C+32\], where \[F\] represents the temperature in degrees Fahrenheit and \[C\] represents the temperature in degrees Celsius. Which is closest to the temperature in Ooty, in degrees Celsius? |
| A. | \[28\] |
| B. | \[63\] |
| C. | \[90\] |
| D. | \[180\] |
| Answer» B. \[63\] | |
| 850. |
The cost of a note book is twice the cost of a pen. If the cost of a note book is Rs. \[x\]and that of a pen is Rs. y, then a linear equation in two variables to represent the given condition is ____. |
| A. | \[~x+2y=0\] |
| B. | \[~x-2y=0\] |
| C. | \[~2x+y=0\] |
| D. | \[2x-y=0\] |
| Answer» C. \[~2x+y=0\] | |