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.
| 1351. |
What is the abscissa of any point on the \[X\text{-}\]axis? |
| A. | \[0\] |
| B. | \[1\] |
| C. | \[-1\] |
| D. | An integer |
| Answer» E. | |
| 1352. |
A triangle ABC is inscribed in a circle, the bisectors of whose angles meet the circumference at X, Y and Z. Determine the angles X, Y and Z respectively. |
| A. | \[{{90}^{o}}-\frac{A}{2},{{90}^{o}}-\frac{B}{2},{{90}^{o}}-\frac{C}{2}\] |
| B. | \[{{90}^{o}},{{60}^{o}},{{30}^{o}}\] |
| C. | \[\frac{A}{2},\frac{B}{2},\frac{C}{2}\] |
| D. | \[\frac{B}{2},\frac{A}{2},\frac{A}{2}-\frac{B}{2}\] |
| Answer» B. \[{{90}^{o}},{{60}^{o}},{{30}^{o}}\] | |
| 1353. |
If\[\frac{a}{3}=\frac{b}{4}=\frac{c}{7}\], then \[\frac{a+b+c}{c}=\]? |
| A. | \[\frac{1}{7}\] |
| B. | \[\frac{1}{2}\] |
| C. | 1 |
| D. | 2 |
| Answer» E. | |
| 1354. |
In a party, the ratio of men to women is 5 : 3 and there are 85 men. How many women must be present in the party? |
| A. | 37 |
| B. | 39 |
| C. | 41 |
| D. | 51 |
| Answer» E. | |
| 1355. |
0.05 is equal to |
| A. | \[\frac{3}{99}\] |
| B. | \[\frac{4}{99}\] |
| C. | \[\frac{5}{99}\] |
| D. | None of these |
| Answer» D. None of these | |
| 1356. |
The solution of a linear equation does not remain same when |
| A. | we add same number in both sides of the equation. |
| B. | parallel to y-axis at a distance of 8 units from the origin. |
| C. | we multiply both sides of the equation by zero. |
| D. | we divide both sides of the equation by same non zero number. |
| E. | None of these |
| Answer» D. we divide both sides of the equation by same non zero number. | |
| 1357. |
ABCD is parallelogram, G is the point on AB such that AG = 2GB, E is point on DC such that CE = 2DE and F is the point on BC such that BF = 2FC. Then, match the following: Column-I Column-IIp\[ar(ADEG)\](i)\[\frac{1}{6}ar(ABCD)\]Q\[ar(\Delta EGB)\](ii)\[ar(GBCE)\]R\[ar(\Delta EFC)\](iii)\[ar(\Delta GBCE)\]S\[ar(\Delta EFC)\](iv)\[\frac{1}{2}ar(\Delta EBF)\] |
| A. | P-iQ-iiR-iiiS-iv |
| B. | P-iiiQ-iR-ivS-ii |
| C. | P-iiiQ-iiR-ivS-i |
| D. | P-iiQ-iR-iiiS-iv |
| Answer» C. P-iiiQ-iiR-ivS-i | |
| 1358. |
In the given figure, ABCD is a parallelogram, \[AE\bot DC\]and \[CF\bot AD.\]If AD = 12 cm, AE = 8 cm and CF = 10 cm, then find CD. |
| A. | 17cm |
| B. | 12cm |
| C. | 10cm |
| D. | 15cm |
| Answer» E. | |
| 1359. |
The ratio of number of boys and girls in a school of 720 students is 7:5. How many more girls should be admitted to make the ratio 1:1? |
| A. | 100 |
| B. | 120 |
| C. | 80 |
| D. | 150 |
| Answer» C. 80 | |
| 1360. |
Angles subtended by chords AC and BC at the centre O of the circle are 55° and 155° respectively. What is the measure of\[\angle ACB?\] |
| A. | \[65{}^\circ \] |
| B. | \[75{}^\circ \] |
| C. | \[105{}^\circ \] |
| D. | \[135{}^\circ \] |
| Answer» C. \[105{}^\circ \] | |
| 1361. |
Which of the following are the signs of the coordinates of a point in the II quadrant? |
| A. | \[(+,\,\,+)\] |
| B. | \[(-,\,\,+)\] |
| C. | \[(-,\,\,-)\] |
| D. | \[(+,\,\,-)\] |
| Answer» C. \[(-,\,\,-)\] | |
| 1362. |
Given a chord AB in a circle as shown. If two more chords AD and BE are drawn perpendicular to AB which of the following is correct? |
| A. | AD = BE |
| B. | AD = 2BE |
| C. | 2AD = BE |
| D. | AD = 3BE |
| Answer» B. AD = 2BE | |
| 1363. |
Which of the following is not a prime number? |
| A. | 5 |
| B. | 7 |
| C. | 8 |
| D. | 11 |
| Answer» D. 11 | |
| 1364. |
Which one of the following is a polynomial? |
| A. | \[\frac{{{x}^{3}}}{9}-\frac{3}{{{x}^{-\,3}}}+\sqrt{x}\] |
| B. | \[{{x}^{3}}-\frac{3{{x}^{7/3}}}{^{3}\sqrt{x}}+\frac{{{x}^{-\,1/2}}}{{{x}^{1/2}}}\] |
| C. | \[{{x}^{2}}-3\sqrt{5x}+\sqrt{2}+{{x}^{-\,1}}\] |
| D. | \[\frac{{{x}^{3/2}}}{{{x}^{1/2}}}+\frac{2{{x}^{7/5}}}{{{x}^{2/5}}}+\frac{8{{x}^{2}}}{{{x}^{-1}}}\] |
| E. | None of these |
| Answer» E. None of these | |
| 1365. |
Where does the point \[(-2,\,\,0)\] lie? |
| A. | On positive X-axis |
| B. | On positive Y-axis |
| C. | On negative X-axis |
| D. | On negative Y-axis |
| Answer» D. On negative Y-axis | |
| 1366. |
A square and a rhombus are on the same base and between the same parallels. Which of the following is the ratio of their areas? |
| A. | 1 : 1 |
| B. | 1 : 2 |
| C. | 0.04375 |
| D. | 1 : 4 |
| Answer» B. 1 : 2 | |
| 1367. |
Find the area of a trapezium ABCD in which AB || DC, AB = 77 cm, BC = 25 cm, CD = 60 cm and DA = 26 cm. |
| A. | \[~204\,c{{m}^{2}}\] |
| B. | \[~1644\text{ }c{{m}^{2}}\] |
| C. | \[~1645\,c{{m}^{2}}\] |
| D. | \[~1600\,c{{m}^{2}}\] |
| Answer» C. \[~1645\,c{{m}^{2}}\] | |
| 1368. |
In the given figure, O is the centre of the circle. If \[\angle ABC={{110}^{o}},\]find\[x.\] |
| A. | \[70{}^\circ \] |
| B. | \[140{}^\circ \] |
| C. | \[60{}^\circ \] |
| D. | \[120{}^\circ \] |
| Answer» C. \[60{}^\circ \] | |
| 1369. |
Which among the following is not a solution of the equation \[\mathbf{-7x+2y=-}\frac{\mathbf{1}}{\mathbf{2}}\mathbf{x-}\frac{\mathbf{3}}{\mathbf{2}}\mathbf{y+5}\] |
| A. | \[(3, 7)\] |
| B. | \[(-\,4, -6)\] |
| C. | \[(9, 18)\] |
| D. | \[(4, \frac{62}{7})\] |
| E. | None of these |
| Answer» F. | |
| 1370. |
For a man covering a certain distance at 6 km/hr and returning at 4 km/hr. The average speed of the man is |
| A. | 1.2 km/hr |
| B. | 2.4 km/hr |
| C. | 3.6 km/hr |
| D. | 4.8 km/hr |
| Answer» E. | |
| 1371. |
If 20 people can build a wall in 7 days, then the number of persons required to complete the work in 35 days is |
| A. | 4 |
| B. | 8 |
| C. | 12 |
| D. | 20 |
| Answer» B. 8 | |
| 1372. |
What is the distance travelled at the speed of 30 km/hr for \[2\frac{1}{2}\] hours. |
| A. | 75 km |
| B. | 70 km |
| C. | 65 km |
| D. | 60 km |
| Answer» B. 70 km | |
| 1373. |
What is the number of quadrants of a cartesian plane? |
| A. | \[1\] |
| B. | \[2\] |
| C. | \[3\] |
| D. | \[4\] |
| Answer» E. | |
| 1374. |
What is the distance of the point \[(2,\,\,3)\] from the \[X-\]axis? |
| A. | \[2\] units |
| B. | \[5\] units |
| C. | \[3\] units |
| D. | \[6\] units |
| Answer» D. \[6\] units | |
| 1375. |
If a straight line \[\mathbf{ax+by=c}\] cuts x and y-axis at the points P and Q, then the area of the triangle OPQ where O is the point of intersection of coordinate axes, is _________ |
| A. | \[\frac{{{a}^{2}}}{2bc}\] |
| B. | \[\frac{{{c}^{2}}}{2ab}\] |
| C. | \[\frac{2ac}{{{b}^{2}}}\] |
| D. | \[\frac{2ac}{{{c}^{2}}}\] |
| E. | None of these |
| Answer» C. \[\frac{2ac}{{{b}^{2}}}\] | |
| 1376. |
In the given figure, \[\Delta ABC\]is an isosceles triangle with AB = AC and\[\angle ABC={{50}^{o}}.\]Find the sum of \[\angle BDC\]and\[\angle BEC.\] |
| A. | \[30{}^\circ \] |
| B. | \[60{}^\circ \] |
| C. | \[50{}^\circ \] |
| D. | \[180{}^\circ \] |
| Answer» E. | |
| 1377. |
The area of a trapezium whose parallel sides are 9 cm & 16 cm and the distance between these sides is 8 cm, is |
| A. | \[~60\text{ }c{{m}^{2}}\] |
| B. | \[~72\text{ }c{{m}^{2}}\] |
| C. | \[56\,c{{m}^{2}}\] |
| D. | \[100c{{m}^{2}}\] |
| Answer» E. | |
| 1378. |
The points \[P(3,\,\,p)\] and \[Q(q,\,\,5)\] represent the same point\[R\]. What are the respective values of\[p\]and\[q\]? |
| A. | \[5\] and \[3\] |
| B. | \[-5\] and\[3\] |
| C. | \[3\] and \[5\] |
| D. | \[3\]and \[-5\] |
| Answer» B. \[-5\] and\[3\] | |
| 1379. |
The successor of lowest positive integer is |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | None of these |
| Answer» C. 3 | |
| 1380. |
Plot the points \[P(1,\,\,),\,\,Q(4,\,\,0)\] and\[S(1,\,\,3)\]. Find the coordinates of the point \[R\] such that \[PQRS\] is a square. |
| A. | \[(3,\,\,4)\] |
| B. | \[(4,\,\,3)\] |
| C. | \[(3,\,\,-4)\] |
| D. | \[(-3,\,\,4)\] |
| Answer» C. \[(3,\,\,-4)\] | |
| 1381. |
The rationalising factor of \[(a+\sqrt{b})\]is |
| A. | \[a-\sqrt{b}\] |
| B. | \[\sqrt{a}-b\] |
| C. | \[\sqrt{a}-\sqrt{b}\] |
| D. | None of these |
| Answer» B. \[\sqrt{a}-b\] | |
| 1382. |
The value of \[\sqrt{900}+\sqrt{0.09}-\sqrt{0.000009}\] is |
| A. | 30.297 |
| B. | 30.197 |
| C. | 30.097 |
| D. | 30.397 |
| Answer» B. 30.197 | |
| 1383. |
If \[{{8}^{r}}={{4}^{t}}\], then the ratio of r to t is |
| A. | 2: 3 |
| B. | 3:2 |
| C. | 4:3 |
| D. | 3:4 |
| Answer» B. 3:2 | |
| 1384. |
In a circle, the major arc is twice the minor arc. What are the corresponding centre angles and the degree measures of the two arcs? |
| A. | \[90{}^\circ \] and \[270{}^\circ \] |
| B. | \[60{}^\circ \] and \[300{}^\circ \] |
| C. | \[240{}^\circ \] and \[120{}^\circ \] |
| D. | \[140{}^\circ \] and \[220{}^\circ \] |
| Answer» D. \[140{}^\circ \] and \[220{}^\circ \] | |
| 1385. |
BC is a chord of a circle with centre O. A is a point on major arc BC. Find the total measure of \[\angle BAC\]and \[\angle OBC\] |
| A. | \[90{}^\circ \] |
| B. | \[100{}^\circ \] |
| C. | \[120{}^\circ \] |
| D. | \[150{}^\circ \] |
| Answer» B. \[100{}^\circ \] | |
| 1386. |
Find the square root of \[4{{a}^{6}}-12{{a}^{5}}+9{{a}^{4}}+8{{a}^{3}}-12{{a}^{2}}+4\] |
| A. | \[{{a}^{3}}-3{{a}^{2}}+2\] |
| B. | \[2{{a}^{3}}+3{{a}^{2}}-2\] |
| C. | \[2{{a}^{3}}-3{{a}^{2}}+2\] |
| D. | \[2{{a}^{3}}+3{{a}^{2}}+2\] |
| E. | None of these |
| Answer» D. \[2{{a}^{3}}+3{{a}^{2}}+2\] | |
| 1387. |
Study the given graph. Identify the coordinates of the point\[M\]. |
| A. | \[\left( -\frac{13}{6},\,\,\frac{1}{2} \right)\] |
| B. | \[\left( -3,\,\,\frac{3}{2} \right)\] |
| C. | \[\left( -\frac{13}{3},\,\,\frac{1}{2} \right)\] |
| D. | \[\left( -\frac{3}{2},\,\,3 \right)\] |
| Answer» C. \[\left( -\frac{13}{3},\,\,\frac{1}{2} \right)\] | |
| 1388. |
The greatest integer that divides 358, 376, 334 leaving the same remainder in each case is |
| A. | 6 |
| B. | 7 |
| C. | 8 |
| D. | 9 |
| Answer» B. 7 | |
| 1389. |
In given figure, if O is the centre of the circle, then \[x\]\[x=\_\_\_\_.\] |
| A. | \[{{35}^{o}}\] |
| B. | \[{{40}^{o}}\] |
| C. | \[{{70}^{o}}\] |
| D. | \[{{75}^{o}}\] |
| Answer» D. \[{{75}^{o}}\] | |
| 1390. |
The length of a chord of a circle is equal to the radius of the circle. Determine the angle which this chord subtends on the major segment of the circle. |
| A. | \[30{}^\circ \] |
| B. | \[45{}^\circ \] |
| C. | \[60{}^\circ \] |
| D. | \[90{}^\circ \] |
| Answer» B. \[45{}^\circ \] | |
| 1391. |
ABCD is a parallelogram. P is any point on CD. If \[ar(\Delta DPA)=15\,c{{m}^{2}}\]and \[ar(\Delta APC)=20\,c{{m}^{2}},\]then \[ar(\Delta APB)=\] |
| A. | \[~15\,c{{m}^{2}}\] |
| B. | \[~20\,c{{m}^{2}}\] |
| C. | \[~35\,c{{m}^{2}}\] |
| D. | \[~30\,c{{m}^{2}}\] |
| Answer» D. \[~30\,c{{m}^{2}}\] | |
| 1392. |
An integer which is divisible by 2 is called a/an |
| A. | even number |
| B. | odd number |
| C. | prime number |
| D. | composite number |
| Answer» B. odd number | |
| 1393. |
Given two concentric circles with centre O. A line cuts the circles at A, B, C and D respectively. Lf AB=10 cm, find the length of CD. |
| A. | 5 cm |
| B. | 10 cm |
| C. | 7.5 cm |
| D. | 15 cm |
| Answer» C. 7.5 cm | |
| 1394. |
The point on the graph of the linear equation \[\mathbf{6x+5y=18}\], whose ordinate is \[\mathbf{3}\frac{\mathbf{1}}{\mathbf{2}}\] times its abscissa, is _______ |
| A. | \[\left( \frac{16}{19},\frac{56}{19} \right)\] |
| B. | \[\left( \frac{36}{19},\frac{126}{19} \right)\] |
| C. | \[\left( \frac{36}{47},\frac{126}{47} \right)\] |
| D. | \[\left( \frac{18}{47},\frac{63}{47} \right)\] |
| E. | None of these |
| Answer» D. \[\left( \frac{18}{47},\frac{63}{47} \right)\] | |
| 1395. |
Find the value of \[x\] in the following figure. |
| A. | \[45{}^\circ \] |
| B. | \[35{}^\circ \] |
| C. | \[60{}^\circ \] |
| D. | \[55{}^\circ \] |
| Answer» C. \[60{}^\circ \] | |
| 1396. |
Which quadrilateral is formed by joining the points \[(1,\,\,1),\,\,(2,\,\,4),\,\,(8,\,\,4)\] and\[(10,\,\,1)\]? |
| A. | A triangle |
| B. | A square |
| C. | A rectangle |
| D. | A trapezium |
| Answer» E. | |
| 1397. |
Which of the following figures is obtained by joining mid-points of adjacent sides of a rectangle of sides 8 cm and 6 cm? |
| A. | A rectangle of area \[24\,c{{m}^{2}}.\] |
| B. | A square of area \[25\,c{{m}^{2}}.\] |
| C. | A trapezium of area\[24\text{ }c{{m}^{2}}.\] |
| D. | A rhombus of area \[24\text{ }c{{m}^{2}}.\] |
| Answer» E. | |
| 1398. |
A square PQRS and a rhombus RSTU lie on the same base RS. What is the relation between their areas? |
| A. | \[ar(PQRS)=ar(RSTU)\] |
| B. | \[ar(PQRS)<ar(RSTU)\] |
| C. | \[ar(PQRS)>ar(RSTU)\] |
| D. | \[ar(PQRS)=\frac{1}{2}ar(RSTU)\] |
| Answer» D. \[ar(PQRS)=\frac{1}{2}ar(RSTU)\] | |
| 1399. |
In the given figure, D, E and F are the mid-points of the sides BC, CA and AB respectively. If ar \[(BDEF)=x\]ar \[(\Delta AFE),\]what is the value of\[x?\] |
| A. | \[\frac{1}{2}\] |
| B. | 1 |
| C. | 2 |
| D. | 4 |
| Answer» D. 4 | |
| 1400. |
Which of the following is not a composite number? |
| A. | 4 |
| B. | 6 |
| C. | 7 |
| D. | 8 |
| Answer» D. 8 | |