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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.
| 851. |
What is the solution of the equation given below? \[\frac{\mathbf{3y+4}}{\mathbf{2}}\mathbf{+}\frac{\mathbf{2y-5}}{\mathbf{3}}\mathbf{=}\frac{\mathbf{31}}{\mathbf{2}}\] |
| A. | \[y=1\] |
| B. | \[y=6\] |
| C. | \[y=7\] |
| D. | \[y=13\] |
| Answer» D. \[y=13\] | |
| 852. |
Mayank and Sujata, two students of class 9th together contributed Rs. 1000 to PPM relief fund. (i) Find the linear equation satisfying the data. (ii) If Sujata contributed Rs. 475 then how much Mayank contributed. |
| A. | (i) (ii) \[2x+y=1000\] 575 |
| B. | (i) (ii) \[x+y=1000\] 525 |
| C. | (i) (ii) \[0.x+1.y=100\] 575 |
| D. | (i) (ii) \[2x+2y=500\] 525 |
| Answer» C. (i) (ii) \[0.x+1.y=100\] 575 | |
| 853. |
What are all the roots for the equation\[3|w-14|-6=21\]? |
| A. | \[19\] |
| B. | \[23\] |
| C. | \[5\] and \[23\] |
| D. | \[9\] and \[19\] |
| Answer» D. \[9\] and \[19\] | |
| 854. |
A and B are friends. A is elder to B by 5 years. B's sister C is half the age of B while A's father D is 8 years older than twice the age of B. If the present age of D is 48 years, find the present ages of A, B and C respectively. |
| A. | 50 years, 25 years, 20 years |
| B. | 40 years, 20 years, 15 years |
| C. | 20 years, 15 years, 10 years |
| D. | 25 years, 20 years, 10 years |
| Answer» E. | |
| 855. |
What is the solution set of\[\sqrt{x+64}-8=-2\]? |
| A. | \[\{-28\}\] |
| B. | \[\{-124\}\] |
| C. | \[\{4\}\] |
| D. | \[\{\}\] |
| Answer» B. \[\{-124\}\] | |
| 856. |
What is the solution set of\[\frac{5}{3}-\frac{2}{x}=\frac{8}{x}\]for\[x\ne 0\]? |
| A. | \[\{2\}\] |
| B. | \[\left( \frac{18}{5} \right)\] |
| C. | \[\left( \frac{26}{5} \right)\] |
| D. | \[\{6\}\] |
| Answer» E. | |
| 857. |
The equation of the line whose graph passes through the origin is ____. |
| A. | \[~4x+2y=-1\] |
| B. | \[~x+y=1\] |
| C. | \[~8x+7y=0\] |
| D. | \[~8x-1=4y\] |
| Answer» D. \[~8x-1=4y\] | |
| 858. |
Where does the point of the form \[(p,\,\,p)\forall p\ne 0\] always lie? |
| A. | \[x-\]axis |
| B. | origin |
| C. | on the line\[y=x\] |
| D. | on the line\[x+y=0\] |
| Answer» D. on the line\[x+y=0\] | |
| 859. |
The point (a, - a) always lies on____. |
| A. | \[~x+y=0\] |
| B. | \[~x-y=0\] |
| C. | \[~x=-a\] |
| D. | \[~y=a\] |
| Answer» B. \[~x-y=0\] | |
| 860. |
The cost of a shirt of a particular brand is\[Rs.\,\,800\]. What is the linear equation when the cost of x number of shirts is\[Rs.\,\,y\]? |
| A. | \[x=800y\] |
| B. | \[x=4\] |
| C. | \[y=5x\] |
| D. | \[x=-7\] |
| Answer» D. \[x=-7\] | |
| 861. |
The equation\[x=7\]in two variables, can be written as ____. |
| A. | \[~1-x+1-y=7\] |
| B. | \[~1-x+0-y=7\] |
| C. | \[~0-x+1-y=7\] |
| D. | None of these |
| Answer» C. \[~0-x+1-y=7\] | |
| 862. |
If the point \[(2,\,\,-3)\] lies on the graph of the equation\[ay=7x-26\], what is the value of\['a'\]? |
| A. | \[37\] |
| B. | \[16\] |
| C. | \[-5\] |
| D. | \[4\] |
| Answer» E. | |
| 863. |
Point (4, 1) lies on the line____. |
| A. | \[~x+2y=5~\] |
| B. | \[~2x+y=-6\] |
| C. | \[~x+2y=6\] |
| D. | \[~x+y=16\] |
| Answer» D. \[~x+y=16\] | |
| 864. |
If \[(3,\,\,4)\] is a solution of the equation\[5x-2y=k\], find the value of\[k\]. |
| A. | \[7\] |
| B. | \[6\] |
| C. | \[5\] |
| D. | \[4\] |
| Answer» B. \[6\] | |
| 865. |
If the graph of the equation \[4x+3y=12\] cuts the coordinate axes at A and B, then hypotenuse of right triangle AOB is of length |
| A. | 4 units |
| B. | 3 units |
| C. | 5 units |
| D. | None of these |
| Answer» D. None of these | |
| 866. |
Identify the correct statement from the following with respect to the line\[y-2=0\]. |
| A. | It is parallel to X-axis. |
| B. | It is parallel to Y-axis. |
| C. | It passes through the origin. |
| D. | It passes through\[x=2\]. |
| Answer» B. It is parallel to Y-axis. | |
| 867. |
Which equation satisfies the data given in the table?_________ x -1 0 1 2 y -3 -1 3 3 |
| A. | \[~y=x-2\] |
| B. | \[~y=2x-1\] |
| C. | \[~y=3x-3\] |
| D. | \[~y=x+1\] |
| Answer» C. \[~y=3x-3\] | |
| 868. |
How many line(s) pass through the point\[(0,\,\,0)\]? |
| A. | Only one |
| B. | Two |
| C. | Infinitely many |
| D. | Three |
| Answer» D. Three | |
| 869. |
A man is four times as old as his son. After 2 years the man will be three times as old as his son. What is the present age of the man? |
| A. | 20 years |
| B. | 16 years |
| C. | 4 years |
| D. | 24 years |
| Answer» C. 4 years | |
| 870. |
Three consecutive numbers such that thrice the first, 4 times the second and twice the third together make 188. Find the least of the consecutive numbers is. |
| A. | 18 |
| B. | 21 |
| C. | 19 |
| D. | 20 |
| Answer» E. | |
| 871. |
How many kilograms of tea at Rs 20 per kg should be mixed with 14 kg of tea costing Rs 30 per kg so as to sell the mixture at Rs 27 per kg without gaining or losing anything in the transaction? |
| A. | 6 kg |
| B. | 7 kg |
| C. | 15 kg |
| D. | 10 kg |
| Answer» B. 7 kg | |
| 872. |
If \[\left( \mathbf{2},\mathbf{3} \right)\] is a solution of the equation \[\mathbf{5x-2y=k,}\] find the value of k. |
| A. | 7 |
| B. | 6 |
| C. | 5 |
| D. | 4 |
| Answer» E. | |
| 873. |
The value of k for which the system of equations \[\mathbf{x+3y=6,3x+ky+18=0}\] has no solution, is |
| A. | 6 |
| B. | -6 |
| C. | 9 |
| D. | -9 |
| Answer» D. -9 | |
| 874. |
If 1 is added to the denominator of a fraction, it becomes\[\frac{\mathbf{1}}{\mathbf{2}}\] and if 2 is added to the numerator, the fraction becomes 1. What is the fraction? |
| A. | \[\frac{3}{2}\] |
| B. | \[\frac{3}{5}\] |
| C. | \[\frac{1}{4}\] |
| D. | \[\frac{10}{11}\] |
| Answer» C. \[\frac{1}{4}\] | |
| 875. |
If \[\frac{\mathbf{2}}{\mathbf{x}}\mathbf{+}\frac{\mathbf{3}}{\mathbf{y}}\mathbf{=}\frac{\mathbf{9}}{\mathbf{xy}}\] and \[\frac{4}{\mathbf{x}}\mathbf{+}\frac{9}{\mathbf{y}}\mathbf{=}\frac{21}{\mathbf{xy}}\], where, \[x\ne 0\]and \[y\ne 0\], then what is the value of \[\mathbf{x}+\mathbf{y}\]? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 8 |
| Answer» D. 8 | |
| 876. |
The sum of two numbers is 70. If the larger number exceeds five times the smaller by 4, what is the smaller number? |
| A. | 5 |
| B. | 11 |
| C. | 20 |
| D. | 25 |
| Answer» C. 20 | |
| 877. |
If a and b are positive integers, x and y are non-negative integers and \[\mathbf{a}=\mathbf{bx}+\mathbf{y},\] then which one of the following is correct? |
| A. | \[0\le y<a\] |
| B. | \[0<y\le b\] |
| C. | \[0<y>b\] |
| D. | \[0\le y<b\] |
| Answer» D. \[0\le y<b\] | |
| 878. |
If \[\left( \mathbf{x},\mathbf{y} \right)=\left( \mathbf{8},\mathbf{2} \right)\] is the solution of the pair of linear equations \[\mathbf{mx}+\mathbf{y}=\mathbf{2x}+\mathbf{m}=\mathbf{10},\]then \[\mathbf{m}+\mathbf{n}\] is equal to |
| A. | -2 |
| B. | -1 |
| C. | 2 |
| D. | 1 |
| Answer» B. -1 | |
| 879. |
On children day, sweets were to be equally distributed among 160 children in a school. Actually on the children?s day 40 children were absent and therefore each child got 10 sweets extra. Total number of sweets were |
| A. | 3200 |
| B. | 2400 |
| C. | 4000 |
| D. | 4800 |
| Answer» E. | |
| 880. |
The system of equations \[\mathbf{x}+\mathbf{2y}=\mathbf{3}\] and \[\mathbf{3x+6y=9}\] has |
| A. | Unique solution |
| B. | No solution |
| C. | Infinitely many solutions |
| D. | Unite numbers of solutions |
| Answer» D. Unite numbers of solutions | |
| 881. |
The sum of two numbers is 7 and their product is 12. What is the sum of their reciprocals? |
| A. | \[\frac{1}{12}\] |
| B. | \[\frac{1}{7}\] |
| C. | \[\frac{7}{12}\] |
| D. | \[\frac{7}{15}\] |
| Answer» D. \[\frac{7}{15}\] | |
| 882. |
If the sum of a number and its reciprocal is \[\frac{\mathbf{10}}{\mathbf{3}}\], then the numbers are |
| A. | \[3,\frac{1}{3}\] |
| B. | \[3,\frac{-1}{3}\] |
| C. | \[-3,\frac{1}{3}\] |
| D. | \[-3,\frac{-1}{3}\] |
| Answer» B. \[3,\frac{-1}{3}\] | |
| 883. |
If \[2x+3y\le 6,x\ge 0,y\ge 0,\] then one of the solutions is |
| A. | \[x=-2\,\,\text{and }\,y=-3\] |
| B. | \[x=-1\text{ and }y=-2\] |
| C. | \[x=1\text{ and =1}\] |
| D. | \[x=-1\text{ and }y=-1\] |
| Answer» D. \[x=-1\text{ and }y=-1\] | |
| 884. |
60 is divided into two parts such that the sum of their reciprocals is\[\frac{\mathbf{3}}{\mathbf{25}}\]. What is the largest number? |
| A. | 10 |
| B. | 50 |
| C. | 25 |
| D. | 20 |
| Answer» C. 25 | |
| 885. |
The system of equations \[\mathbf{2x}+\mathbf{y}-\mathbf{2}=\mathbf{0}\] and \[\mathbf{4x}+\mathbf{2y}-\mathbf{4}=\mathbf{0}\] has |
| A. | A unique solution \[x=1,\,\,y=1\] |
| B. | A unique solution \[x=0,\,\,y=4\] |
| C. | No solution |
| D. | Infinite solutions |
| Answer» E. | |
| 886. |
The sum of two numbers is 8 and the of squares is 34. The product of the two numbers is |
| A. | 10 |
| B. | 8 |
| C. | 15 |
| D. | 12 |
| Answer» D. 12 | |
| 887. |
If \[\mathbf{x}+\mathbf{y}-\mathbf{5}=\mathbf{0}\] and \[\mathbf{2x+y-9=0,}\] then \[\mathbf{4}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{+4xy}\] is equal to |
| A. | 75 |
| B. | 85 |
| C. | 91 |
| D. | 81 |
| Answer» E. | |
| 888. |
A positive number, when increased by 10 equals 200 times its reciprocal. What is number? |
| A. | 100 |
| B. | 10 |
| C. | 20 |
| D. | 200 |
| Answer» C. 20 | |
| 889. |
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. \[y=x-30\] | |
| 890. |
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 | |
| 891. |
Ajay had 65 currency notes in all. Some of which were of Rs 100 denomination and the remaining of Rs 50 denomination. The total amount of all these currency notes was Rs, 5000. How much amount did he have in the denomination of Rs 100? |
| A. | Rs 3000 |
| B. | Rs 2500 |
| C. | Rs 1000 |
| D. | Rs 3500 |
| Answer» E. | |
| 892. |
When an amount was distributed among 12 boys, each of them got Rs. 80 more than the amount received by each boy when the same amount is distributed equally among 16 boys. What was the amount? |
| A. | Rs 3800 |
| B. | Rs 3860 |
| C. | Rs 3840 |
| D. | Rs 3850 |
| Answer» D. Rs 3850 | |
| 893. |
A student was asked to find the value of \[\frac{\mathbf{3}}{\mathbf{7}}\] of a sum of money. The student made a mistake by dividing the sum of \[\frac{\mathbf{3}}{\mathbf{7}}\] and then got an answer which exceeded the correct answer by Rs. 80. The correct answer was: |
| A. | Rs. 42 |
| B. | Rs. 24 |
| C. | Rs.81 |
| D. | Rs. 18 |
| Answer» E. | |
| 894. |
Crate of mangoes contains one bruised mangoes for every forty mangoes in the crate. If 4 out of every 5 bruised mangoes are considered unsalable and there are 10 unsalable mangoes in the crate, then how many mangoes are there in the crate? |
| A. | 200 |
| B. | 250 |
| C. | 300 |
| D. | 500 |
| Answer» E. | |
| 895. |
Straight lines represented by linear equations \[\mathbf{x}+\mathbf{y}=\mathbf{2}\] and \[\mathbf{5x}-\mathbf{3y}=\mathbf{2}\] intersect at which of the given points? |
| A. | (1, 2) |
| B. | (1, 1) |
| C. | (2, 1) |
| D. | (3, 2) |
| Answer» C. (2, 1) | |
| 896. |
Two planes start from a city and fly in opposite directions. The average speed of first is 50 km/h more than the second. If they are 2600 km apart after 4 hours, find the sum of their average speeds. |
| A. | 650 km/h |
| B. | 360 km/h |
| C. | 320 km/h |
| D. | 640 km/h |
| Answer» B. 360 km/h | |
| 897. |
If \[\frac{\mathbf{x-6}}{\mathbf{x-2}}\mathbf{+}\frac{\mathbf{x-3}}{\mathbf{x-8}}\mathbf{=2}\] then the value of x =? |
| A. | -22 |
| B. | 11 |
| C. | 11 |
| D. | 22 |
| Answer» B. 11 | |
| 898. |
If \[\frac{\mathbf{3}}{\mathbf{x-1}}\mathbf{+}\frac{\mathbf{1}}{\mathbf{x-3}}\mathbf{=}\frac{\mathbf{4}}{\mathbf{x-2}}\]then x =? |
| A. | -4 |
| B. | 4 |
| C. | 3 |
| D. | -2 |
| Answer» C. 3 | |
| 899. |
Which among the following is not similar?\[\mathbf{sin 60{}^\circ , 2 sin 30{}^\circ }\mathbf{.cos 30{}^\circ }\]\[\frac{\mathbf{2tan 30{}^\circ }}{\mathbf{1+ta}{{\mathbf{n}}^{\mathbf{2}}}\mathbf{30{}^\circ }}\mathbf{,}\frac{\sqrt{\mathbf{3}}}{\mathbf{2}}\] |
| A. | \[sin\text{ }60{}^\circ ~\] |
| B. | \[2\text{ }sin\text{ }30{}^\circ .cos\text{ }30{}^\circ ~\] |
| C. | \[\frac{2tan 30{}^\circ }{1+ta{{n}^{2}}30{}^\circ }\] |
| D. | \[\frac{\sqrt{3}}{2}\] |
| E. | None of these |
| Answer» D. \[\frac{\sqrt{3}}{2}\] | |
| 900. |
Which among the following is different? \[\mathbf{2}\,\mathbf{co}{{\mathbf{s}}^{\mathbf{2}}}\mathbf{30{}^\circ }-\mathbf{ 1,}\]\[\mathbf{1 }-\mathbf{ 2 si}{{\mathbf{n}}^{\mathbf{2}}}\mathbf{30{}^\circ }\] \[\mathbf{co}{{\mathbf{s}}^{\mathbf{2}}}\mathbf{30{}^\circ }-\mathbf{ si}{{\mathbf{n}}^{\mathbf{2}}}\mathbf{30{}^\circ , }\frac{\mathbf{1}-\mathbf{ta}{{\mathbf{n}}^{\mathbf{2}}}\mathbf{ 30{}^\circ }}{\mathbf{1+ta}{{\mathbf{n}}^{\mathbf{2}}}\mathbf{30{}^\circ }}\] |
| A. | \[2\text{ }co{{s}^{2}}30{}^\circ -1~\] |
| B. | \[1\text{ }-\text{ }2 si{{n}^{2}}30{}^\circ \] |
| C. | \[co{{s}^{2}}30{}^\circ -si{{n}^{2}}30{}^\circ \] |
| D. | \[\frac{1-{{\tan }^{2}}\text{ 30}{}^\circ }{1+{{\tan }^{2}}\text{ 30}{}^\circ }\] |
| E. | None of these |
| Answer» F. | |