MCQOPTIONS
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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.
| 1301. |
AD is a diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm then the distance of AB from the centre of the circle is ____. |
| A. | 17 cm |
| B. | 8 cm |
| C. | 4 cm |
| D. | 15 cm |
| Answer» C. 4 cm | |
| 1302. |
In the given figure, \[\Delta ABC\] is inscribed in a circle with centre O. If \[\angle ACB={{65}^{o}},\]find\[\angle ABC.\] |
| A. | 25° |
| B. | 35° |
| C. | 90° |
| D. | 65° |
| Answer» B. 35° | |
| 1303. |
Which of the following is not an improper fraction? |
| A. | 1 |
| B. | \[\frac{3}{2}\] |
| C. | \[\frac{5}{3}\] |
| D. | \[\frac{7}{11}\] |
| Answer» E. | |
| 1304. |
Two chords AB and CD of a circle cut each other when produced outside the circle at P. AD and BC are joined. If \[\angle BAD={{30}^{o}}\]and \[\angle CPA={{45}^{o}},\]find \[\angle CBP.\] |
| A. | \[105{}^\circ \] |
| B. | \[115{}^\circ \] |
| C. | \[135{}^\circ \] |
| D. | \[75{}^\circ \] |
| Answer» B. \[115{}^\circ \] | |
| 1305. |
What are the coordinates of origin? |
| A. | \[(0,\,\,1)\] |
| B. | \[(1,\,\,0)\] |
| C. | \[(0,\,\,0)\] |
| D. | \[(1,\,\,1)\] |
| Answer» D. \[(1,\,\,1)\] | |
| 1306. |
In the given figure,\[\overset\frown{PQR}=\overset\frown{SRQ.}\] Which of the following is correct? |
| A. | \[PQ\ne SR\] |
| B. | \[PS=QR\] |
| C. | \[PQ=SR\] |
| D. | \[PS\ne QR\] |
| Answer» D. \[PS\ne QR\] | |
| 1307. |
\[1.\overline{3}\] is equal to |
| A. | \[\frac{3}{4}\] |
| B. | \[\frac{2}{3}\] |
| C. | \[\frac{4}{3}\] |
| D. | \[\frac{2}{5}\] |
| Answer» D. \[\frac{2}{5}\] | |
| 1308. |
ABCD is a rectangle with O as any point in its interior. If \[ar(\Delta AOD)=3c{{m}^{2}}\] and \[ar\,(\Delta BOC)\]\[=6\,c{{m}^{2}},\]then area of rectangle ABCD is |
| A. | \[~9\,c{{m}^{2}}\] |
| B. | \[~12\text{ }c{{m}^{2}}\] |
| C. | \[~15\,c{{m}^{2}}\] |
| D. | \[~18\,c{{m}^{2}}\] |
| Answer» E. | |
| 1309. |
A triangle and a rhombus are on the same base and between the same parallels. What is the ratio of area of triangle to that of rhombus? |
| A. | 1 :1 |
| B. | 1 : 2 |
| C. | 1 : 3 |
| D. | 1 : 4 |
| Answer» C. 1 : 3 | |
| 1310. |
The diagonals AC and BD of a parallelogram ABCD intersect at O.P is a point on AC such that \[AP=\frac{1}{4}AC.\]Which of the following is true? |
| A. | \[ar(\Delta ADP)=ar(\Delta APB)\] |
| B. | \[ar(\Delta ADP)=ar(\Delta DOC)\] |
| C. | \[ar(\Delta ADP)=ar(\Delta BCD)\] |
| D. | \[ar(\Delta ADP)=ar(\Delta ADB)\] |
| Answer» B. \[ar(\Delta ADP)=ar(\Delta DOC)\] | |
| 1311. |
Identify the co-ordinates of the point which lies on \[y\text{-}\]axis at a distance of \[4\] units in negative direction of \[y\text{-}\]axis. |
| A. | \[(0,\,\,4)\] |
| B. | \[(4,\,\,0)\] |
| C. | \[(0,\,\,-4)\] |
| D. | \[(-4,\,\,0)\] |
| Answer» D. \[(-4,\,\,0)\] | |
| 1312. |
In the given figure, AB and BC are two chords of the circle with centre O, where\[\angle BAO={{50}^{o}};\]\[\angle BCO={{35}^{o}},\] then \[\angle AOC\]is equal to ____. |
| A. | \[{{170}^{o}}\] |
| B. | \[{{70}^{o}}\] |
| C. | \[{{150}^{o}}\] |
| D. | None of these |
| Answer» B. \[{{70}^{o}}\] | |
| 1313. |
In the given figure,\[\Delta XYZ\]is inscribed in a circle with centre O. If the length of the chord YZ is equal to the radius of the circle OY, find the measure of\[\angle XYZ.\] |
| A. | \[60{}^\circ \] |
| B. | \[30{}^\circ \] |
| C. | \[80{}^\circ \] |
| D. | \[100{}^\circ \] |
| Answer» C. \[80{}^\circ \] | |
| 1314. |
AB is a chord of a circle with centre O and radius 17 cm. If \[OM\bot AB\] and OM = 8 cm, find the length of chord AB. |
| A. | 12cm |
| B. | 30cm |
| C. | 15cm |
| D. | 24cm |
| Answer» C. 15cm | |
| 1315. |
In the given figure,\[\angle ABD={{70}^{o}},\angle ADB={{30}^{o}}.\] Then, \[\angle BCD\]is ____. |
| A. | \[{{90}^{o}}\] |
| B. | \[{{80}^{o}}\] |
| C. | \[{{100}^{o}}\] |
| D. | \[{{120}^{o}}\] |
| Answer» D. \[{{120}^{o}}\] | |
| 1316. |
The distance between - 9 and 0 is |
| A. | 0 |
| B. | 9 |
| C. | 8 |
| D. | ? 9 |
| Answer» C. 8 | |
| 1317. |
\[\text{5}.\overline{\text{2}}\]is equal to |
| A. | \[\frac{45}{9}\] |
| B. | \[\frac{7}{11}\] |
| C. | \[\frac{47}{9}\] |
| D. | None of these |
| Answer» D. None of these | |
| 1318. |
If a sprinter takes 40 steps in 11 seconds. How many steps does he take in 55 seconds? |
| A. | 173 |
| B. | 180 |
| C. | 190 |
| D. | 200 |
| Answer» E. | |
| 1319. |
Following are the steps of construction of a rectangle ABCD whose adjacent sides are of lengths 5 cm and 3.5 cm. Arrange them and select the CORRECT option. (p) Draw a line segment BC of length 5 cm. (q) With A as centre, draw an arc of radius 5 cm. (r) Draw an\[\angle XBC={{90}^{o}}\]at point B of line segment BC. (S) Cut a line segment AB = 3.5 cm on \[\overrightarrow{BX}\] (T) With C as centre, draw an arc of radius 3.5 cm which intersects the arc at D. (U) Join AD and CD. |
| A. | \[(p)\to (s)\to (q)\to (r)\to (u)\to (t)\] |
| B. | \[(p)\to (r)\to (s)\to (q)\to (t)\to (u)\] |
| C. | \[(p)\to (s)\to (r)\to (q)\to (t)\to (u)\] |
| D. | \[(p)\to (q)\to (r)\to (s)\to (u)\to (t)\] |
| Answer» C. \[(p)\to (s)\to (r)\to (q)\to (t)\to (u)\] | |
| 1320. |
Which of the following angles CANNOT be constructed by using ruler and compass only? |
| A. | \[{{30}^{o}}\] |
| B. | \[{{45}^{o}}\] |
| C. | \[{{70}^{o}}\] |
| D. | \[{{90}^{o}}\] |
| Answer» D. \[{{90}^{o}}\] | |
| 1321. |
The counting numbers 1, 2, 3, 4, ... are called |
| A. | whole numbers |
| B. | natural numbers |
| C. | integers |
| D. | None of these |
| Answer» C. integers | |
| 1322. |
The number of composite number between 101 and 120 are |
| A. | 11 |
| B. | 12 |
| C. | 13 |
| D. | 14 |
| Answer» E. | |
| 1323. |
In the given figure, S and T are the mid- points of PR and PQ respectively of \[\Delta PQR.\]If ar \[(\Delta PQR)=48c{{m}^{2}},\] find the area of (ATSQ).\[(\Delta TSQ).\] |
| A. | \[48\,c{{m}^{2}}\] |
| B. | \[~24\,c{{m}^{2}}\] |
| C. | \[~12\,c{{m}^{2}}\] |
| D. | \[~6\,c{{m}^{2}}\] |
| Answer» D. \[~6\,c{{m}^{2}}\] | |
| 1324. |
The perpendicular distance of a point from the x-axis is 4 units and its perpendicular distance from the y-axis is 5 units. What are the co-ordinates of such a point if it lies in the II Quadrant? |
| A. | \[(-4,\,\,5)\] |
| B. | \[(-5,\,\,4)\] |
| C. | \[(-4,\,\,-5)\] |
| D. | \[(5,\,\,-4)\] |
| Answer» C. \[(-4,\,\,-5)\] | |
| 1325. |
The given figure shows a circle with centre O in which a diameter AB bisects the chord PQ at the point R. If PR = RQ = 8 cm and RB = 4 cm. find the radius of the circle. |
| A. | 10 cm |
| B. | 8 cm |
| C. | 16 cm |
| D. | 6 cm |
| Answer» B. 8 cm | |
| 1326. |
If \[\mathbf{p(x)=}{{\mathbf{x}}^{\mathbf{6}}}\mathbf{-7}{{\mathbf{x}}^{\mathbf{3}}}\mathbf{-8}\] then which of the following is /are factor(s) of p(x)? |
| A. | \[{{x}^{2}}+2x+4\] |
| B. | \[{{x}^{2}}-x+1\] |
| C. | both A and B |
| D. | \[(x+2)\] |
| E. | None of these |
| Answer» D. \[(x+2)\] | |
| 1327. |
If two cars A and B move towards each other, where car A starts at 9 a.m. and car B at 10 a.m. The speeds of the car A and B ar 40 km/hr and 50 km/hr respectively. What distance does car travel when the two cars meet, if the initial distance between A and B is 400 km? |
| A. | 100 km |
| B. | 200 km |
| C. | 300 km |
| D. | 400 km |
| Answer» C. 300 km | |
| 1328. |
The equation of a line passing through the points \[\mathbf{(-6, -4)}\] \[\mathbf{(0, 2)}\] and \[\mathbf{(-2, 0)}\] is _________ |
| A. | \[y+x=2\] |
| B. | \[y-x=2\] |
| C. | \[x-y=2\] |
| D. | \[x+y=-\,2\] |
| E. | None of these |
| Answer» C. \[x-y=2\] | |
| 1329. |
AD is the median of a\[\Delta ABC\]and the area of \[\Delta ADC=15\,c{{m}^{2}}.\]Find the ar \[(\Delta ABC.)\] |
| A. | \[~15\,c{{m}^{2}}\] |
| B. | \[22.5c{{m}^{2}}\] |
| C. | \[~30\text{ }c{{m}^{2}}\] |
| D. | \[~37.5\text{ }c{{m}^{2}}\] |
| Answer» D. \[~37.5\text{ }c{{m}^{2}}\] | |
| 1330. |
If two buses are moving in the opposite directions, their speed having 35 km/hr and 30 km/hr respectively, find their relative speed? |
| A. | 5 km/hr |
| B. | 15 km/hr |
| C. | 25 km/hr |
| D. | 65 km/hr |
| Answer» E. | |
| 1331. |
Identify the ordered pairs that result in a quadrilateral. |
| A. | \[(1,\,\,-1),\,\,(2,\,\,-2),\,\,(4,\,\,-4),\,\,(6,\,\,-6)\] |
| B. | \[(1,\,\,0),\,\,(-3,\,\,0),\,\,(6,\,\,0),\,\,(-8,\,\,0)\] |
| C. | \[(3,\,\,2),\,\,(2,\,\,3),\,\,(-4,\,\,5),\,\,(5,\,\,-3)\] |
| D. | \[(0,\,\,-5),\,\,(0,\,\,0),\,\,(0,\,\,3),\,\,(0,\,\,5)\] |
| Answer» D. \[(0,\,\,-5),\,\,(0,\,\,0),\,\,(0,\,\,3),\,\,(0,\,\,5)\] | |
| 1332. |
Which of the following graph represents the point? |
| A. | |
| B. | |
| C. | |
| Answer» B. | |
| 1333. |
If D be subset of the set of all rational numbers, which can be expressed as terminating decimals, then D is closed under the binary operations of |
| A. | addition, subtraction and division. |
| B. | addition, multiplication and division. |
| C. | addition, subtraction and multiplication. |
| D. | subtraction, multiplication and division. |
| E. | None of these |
| Answer» F. | |
| 1334. |
In the given figure, ABCD is a parallelogram and L is the mid-point of DC. If ar (ABCL) is \[72\,c{{m}^{2}},\] find ar \[(\Delta ADC).\] |
| A. | \[24\text{ }c{{m}^{2}}\] |
| B. | \[~48\text{ }c{{m}^{2}}\] |
| C. | \[~36c{{m}^{2}}\] |
| D. | \[~54c{{m}^{2}}\] |
| Answer» C. \[~36c{{m}^{2}}\] | |
| 1335. |
ABCD is a parallelogram. Two lines\[l\]and m are parallel to AD. Line\[l\]meets AB and CD at P and S respectively. Line m meets AB and CD at Q and R respectively. X is any point on CD between R and S. If\[ar(\Delta DPX)+ar(\Delta CQX)=kar(ABCD),\]find k. |
| A. | \[\frac{2}{3}\] |
| B. | \[\frac{3}{2}\] |
| C. | \[\frac{1}{2}\] |
| D. | \[\frac{1}{3}\] |
| Answer» D. \[\frac{1}{3}\] | |
| 1336. |
If \[\frac{\mathbf{p}}{\mathbf{q}}\mathbf{+}\frac{\mathbf{q}}{\mathbf{p}}\mathbf{=-1}\], then find the value of \[{{\mathbf{p}}^{\mathbf{3}}}\mathbf{-}{{\mathbf{q}}^{\mathbf{3}}}\] _______ |
| A. | 0 |
| B. | 2pq |
| C. | 1 |
| D. | -1 |
| E. | None of these |
| Answer» B. 2pq | |
| 1337. |
In the given figure, AEDF is a cyclic quadrilateral. The values of \[x\] and y respectively are |
| A. | \[{{79}^{o}},\,\,{{47}^{o}}\] |
| B. | \[{{89}^{o}},\,\,{{37}^{o}}\] |
| C. | \[{{89}^{o}},\,\,{{47}^{o}}\] |
| D. | \[{{79}^{o}},\,\,{{37}^{o}}\] |
| Answer» C. \[{{89}^{o}},\,\,{{47}^{o}}\] | |
| 1338. |
\[\sqrt{\mathbf{(}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{-x-2)(2}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+5x+3)(2}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{-x-6)}}\]equals to ________ |
| A. | \[(x-1)(x+2)(x-3)\] |
| B. | \[(x+1)(x-2)(x-3)\] |
| C. | \[(x+1)(2x+3)(x-2)\] |
| D. | \[(x-1)(x+2)(2x+3)\] |
| E. | None of these |
| Answer» D. \[(x-1)(x+2)(2x+3)\] | |
| 1339. |
The area of a square is\[36\text{ }c{{m}^{2}}.\] If the side of the square is doubled, what is the ratio of area of the original square to that of the new square formed? |
| A. | 4 :1 |
| B. | 4 : 3 |
| C. | 1:4 |
| D. | 1:2 |
| Answer» D. 1:2 | |
| 1340. |
Two parallel chords on the same side of the centre of a circle are 10 cm and 24 cm long and their distance apart is 7 cm. Determine the radius of the circle. |
| A. | 13 cm |
| B. | 8 cm |
| C. | 5 cm |
| D. | 7 cm |
| Answer» B. 8 cm | |
| 1341. |
In the given figure, POQ is a diameter of a circle with centre O and PQRS is a cyclic quadrilateral. SQ is drawn. If \[\angle R={{138}^{o}},\]find \[\angle PQS.\] |
| A. | \[90{}^\circ \] |
| B. | \[42{}^\circ \] |
| C. | \[48{}^\circ \] |
| D. | \[38{}^\circ \] |
| Answer» D. \[38{}^\circ \] | |
| 1342. |
A turtle moves i inches in W minutes. At the rate, how many feet can it move in h hour? |
| A. | \[\frac{5hi}{m}\] |
| B. | \[\frac{60hi}{m}\] |
| C. | \[\frac{hi}{12m}\] |
| D. | \[\frac{5m}{hi}\] |
| Answer» B. \[\frac{60hi}{m}\] | |
| 1343. |
ABCD is a quadrilateral whose vertices arc on a semicircle such that AB = BC = CD = 10 cm and AD is diameter of the circle with centre O. Find the perimeter of the |
| A. | 80 cm |
| B. | 70 cm |
| C. | 60 cm |
| D. | 50 cm |
| Answer» E. | |
| 1344. |
Which of the following options is INCORRECT? |
| A. | An angle of \[{{52.5}^{o}}\] can be constructed. |
| B. | A triangle ABC can be constructed in which AB = 5 cm, \[\angle A={{45}^{o}}\]and BC + AC = 5 cm. |
| C. | A triangle ABC can be constructed in which BC = 6 cm, \[\angle C={{30}^{o}}\]and AC - AB = 4 cm. |
| D. | A triangle ABC can be constructed in which \[\angle B={{60}^{o}},\angle C={{45}^{o}}\]and AB + BC + AC = 12 cm. |
| Answer» C. A triangle ABC can be constructed in which BC = 6 cm, \[\angle C={{30}^{o}}\]and AC - AB = 4 cm. | |
| 1345. |
In the given figure, D, E and F are the mid- points of the sides BC, CA and AB respectively of a \[\Delta ABC.\] If ar \[(\Delta DEF)=14c{{m}^{2}},\] find the area of \[\Delta ABC.\] |
| A. | \[~14\,c{{m}^{2}}\] |
| B. | \[~28\,c{{m}^{2}}\] |
| C. | \[~7\text{ }c{{m}^{2}}\] |
| D. | \[~56\text{ }c{{m}^{2}}\] |
| Answer» E. | |
| 1346. |
The set of natural numbers is closed under the binary operations of |
| A. | addition, subtraction, multiplication and division. |
| B. | addition, subtraction, multiplication but not division. |
| C. | addition and multiplication but not subtraction and division. |
| D. | addition and subtraction but not multiplication and division. |
| Answer» D. addition and subtraction but not multiplication and division. | |
| 1347. |
Choose the fraction which is equivalent to \[\frac{15}{20}\] |
| A. | \[\frac{12}{15}\] |
| B. | \[\frac{51}{12}\] |
| C. | \[\frac{4}{3}\] |
| D. | \[\frac{12}{16}\] |
| Answer» E. | |
| 1348. |
ABCD is a parallelogram and 'O' is the point of intersection of its diagonals \[\overline{AC}\] and\[\overline{BD}.\]If the area of\[\Delta AOD=8\,c{{m}^{2}},\] what is the area of the \[\Delta BOC?\] |
| A. | \[2\,c{{m}^{2}}\] |
| B. | \[4\,c{{m}^{2}}\] |
| C. | \[8\,c{{m}^{2}}\] |
| D. | \[32\,c{{m}^{2}}\] |
| Answer» D. \[32\,c{{m}^{2}}\] | |
| 1349. |
In the given figure, ABCD is a parallelogram and P is mid-point of AB. If \[(APCD)=36\,c{{m}^{2}},\]then \[ar\,(\Delta ABC)=\] |
| A. | \[36\text{ }c{{m}^{2}}\] |
| B. | \[~48\,c{{m}^{2}}\] |
| C. | \[24\text{ }c{{m}^{2}}\] |
| D. | None of these |
| Answer» D. None of these | |
| 1350. |
If the point \[\mathbf{(-3, 8)}\] lies on the line \[\mathbf{3y-7x+a=0}\], then the value of \[\frac{\mathbf{3a}}{\mathbf{5}}\] is _________ . |
| A. | 27 |
| B. | \[-\]27 |
| C. | 18 |
| D. | \[-\]18 |
| E. | None of these |
| Answer» C. 18 | |