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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.
| 1451. |
AB is a chord of length 24 cm of a circle with centre O and radius 13 cm. Find the distance of the chord from the centre. |
| A. | 5cm |
| B. | 6cm |
| C. | \[\sqrt{407}cm\] |
| D. | 25 cm |
| Answer» B. 6cm | |
| 1452. |
In the given figure below, two chords AB and CD of a circle with centre O intersect at P. If \[\angle \mathbf{APC}=\mathbf{3}{{\mathbf{0}}^{{}^\circ }}\]. Then the value of \[\angle \mathbf{AOC}+~\angle \mathbf{BOD}\] is |
| A. | \[{{50}^{{}^\circ }}\] |
| B. | \[{{60}^{{}^\circ }}\] |
| C. | \[{{80}^{{}^\circ }}\] |
| D. | \[{{120}^{{}^\circ }}\] |
| Answer» E. | |
| 1453. |
In the adjoining figure \[\angle XOZ={{120}^{{}^\circ }}\]where O is the centre of the circle then \[\angle \mathbf{XYZ}\] is equal to |
| A. | \[{{110}^{{}^\circ }}\] |
| B. | \[{{120}^{{}^\circ }}\] |
| C. | \[{{90}^{{}^\circ }}\] |
| D. | \[{{40}^{{}^\circ }}\] |
| Answer» C. \[{{90}^{{}^\circ }}\] | |
| 1454. |
The diagonals AC and BD of a parallelogram ABCD intersect each other at O. PQ is a line through O which meets BC at P and AD at Q. If ar(quad. ABPQ) = k ar (Parallelogram ABCD), then k = |
| A. | \[\frac{1}{2}\] |
| B. | 4 |
| C. | 3 |
| D. | \[\frac{1}{4}\] |
| Answer» B. 4 | |
| 1455. |
the ratio of men to women in an office is 7 to 5. Which of the following could not be the number of employees in the office? |
| A. | 24 |
| B. | 30 |
| C. | 36 |
| D. | 48 |
| Answer» C. 36 | |
| 1456. |
A, B, C and D are four points on a circle. AC and BD intersect at a point E such that \[\angle BEC={{130}^{o}}\]and \[\angle ECD={{20}^{o}},\]then \[\angle BAC\]is ____. |
| A. | \[{{110}^{o}}\] |
| B. | \[{{100}^{o}}\] |
| C. | \[{{90}^{o}}\] |
| D. | \[{{120}^{o}}\] |
| Answer» B. \[{{100}^{o}}\] | |
| 1457. |
The construction of a \[\Delta ABC\] in which BC = 6 cm and \[\angle B={{50}^{o}}\]is NOT possible when (AB - AC) is equal to ___ . |
| A. | 5.6 cm |
| B. | 5 cm |
| C. | 6 cm |
| D. | 4.8 cm |
| Answer» D. 4.8 cm | |
| 1458. |
\[0.\overline{\text{585}}\]is equal to |
| A. | \[\frac{589}{99}\] |
| B. | \[\frac{585}{999}\] |
| C. | \[\frac{999}{585}\] |
| D. | None of these |
| Answer» C. \[\frac{999}{585}\] | |
| 1459. |
If (2, 2p + 2) is the mid-point of (3p, 4) and (-2, 2q), then the value of p and q are |
| A. | 2, 4 |
| B. | 3, 6 |
| C. | 7, 9 |
| D. | 8, 10 |
| Answer» B. 3, 6 | |
| 1460. |
In the given figure, what is the area of parallelogram ABCD? |
| A. | \[~AB\times BM\] |
| B. | \[~BC\times BN\] |
| C. | \[DC\times DL\] |
| D. | \[~AD\times DL\] |
| Answer» D. \[~AD\times DL\] | |
| 1461. |
P is a point in the interior of parallelogram ABCD. If ar \[(I{{I}^{gm}}ABCD)=18c{{m}^{2}},\] what is the value of \[[ar(\Delta APD)+ar(\Delta CPB)]?\] |
| A. | \[~9\,c{{m}^{2}}\] |
| B. | \[~12\,c{{m}^{2}}\] |
| C. | \[~18\,c{{m}^{2}}\] |
| D. | \[~15\,c{{m}^{2}}\] |
| Answer» B. \[~12\,c{{m}^{2}}\] | |
| 1462. |
The value of \[|3-10|\] is |
| A. | 7 |
| B. | -7 |
| C. | 3+10 |
| D. | 3 ? 10 |
| Answer» B. -7 | |
| 1463. |
In the given figure, if \[\angle DAB={{62}^{o}}\]and \[\angle ABD={{58}^{o}},\]then \[\angle ACB\]is equal to _____. |
| A. | \[{{60}^{o}}\] |
| B. | \[{{58}^{o}}\] |
| C. | \[{{62}^{o}}\] |
| D. | None of these |
| Answer» B. \[{{58}^{o}}\] | |
| 1464. |
AC is the diameter of the circumcircle of the cyclic quadrilateral ABCD. If. \[\angle \mathbf{BDC}=\mathbf{4}{{\mathbf{8}}^{{}^\circ }}\]then \[\angle \mathbf{ACB}\] is equal to |
| A. | \[{{42}^{{}^\circ }}\] |
| B. | \[{{45}^{{}^\circ }}\] |
| C. | \[{{48}^{{}^\circ }}\] |
| D. | \[{{58}^{{}^\circ }}\] |
| Answer» B. \[{{45}^{{}^\circ }}\] | |
| 1465. |
Which of the following quadrants has/have points with a positive abscissa? |
| A. | I and II quadrants |
| B. | I and IV quadrants |
| C. | I quadrant only |
| D. | IV quadrant only |
| Answer» C. I quadrant only | |
| 1466. |
A quantity which expresses a part of the whole is called a/an |
| A. | fraction |
| B. | prime number |
| C. | integer |
| D. | None of these |
| Answer» B. prime number | |
| 1467. |
What is the midpoint of AB |
| A. | \[\left( -3,\,1 \right)\] |
| B. | \[\left( -1,2 \right)~~~~~\] |
| C. | \[\left( 2,-1 \right)\] |
| D. | \[\left( -1,3 \right)\] |
| Answer» C. \[\left( 2,-1 \right)\] | |
| 1468. |
PQR is a right angles triangle Q being the right angle. Mid-points of QR and PR are respectively Q' and P? Area of \[\Delta \mathbf{P}'\mathbf{Q}'\mathbf{R}'\] is |
| A. | \[\frac{1}{2}\times area\text{ }of\text{ }\Delta PQR\] |
| B. | \[\frac{2}{3}\times area\text{ }of\text{ }\Delta PQR\] |
| C. | \[\frac{1}{4}\times area\text{ }of\text{ }\Delta PQR\] |
| D. | \[\frac{1}{8}\times area\text{ }of\text{ }\Delta PQR\] |
| Answer» D. \[\frac{1}{8}\times area\text{ }of\text{ }\Delta PQR\] | |
| 1469. |
Two fill pipes A and B can fill a cistern in 12 and 16 minutes respectively. Both fill pipes are opened together, but 4 minutes before the cistern is full, one pipe A is closed. How much time will the cistern take to fill? |
| A. | \[9\frac{1}{7}\] minutes |
| B. | \[3\frac{1}{3}\] minutes |
| C. | 5 minutes |
| D. | \[3\,\] minutes |
| E. | None of these |
| Answer» B. \[3\frac{1}{3}\] minutes | |
| 1470. |
A can do a piece of work in 4 hours. A and C together can do it in just 2 hours, while B and C together need 3 hours to finish the same work. In how many hours B can complete the work? |
| A. | 10 hours |
| B. | 12 hours |
| C. | 16 hours |
| D. | 18 hours |
| E. | None of these |
| Answer» C. 16 hours | |
| 1471. |
ABCD is a trapezium with parallel sides AB = 2cm and DC = 3cm. E and F are the mid- points of the non-parallel sides. The ratio of area of ABFE to area of EFCD is |
| A. | 9:10 |
| B. | 8:9 |
| C. | 9:11 |
| D. | 11:9 |
| Answer» D. 11:9 | |
| 1472. |
If the distance between the points A(5, a) and B(2, 0) is 5, then a is |
| A. | \[\pm \,4\] |
| B. | \[4\] |
| C. | \[-\,4\] |
| D. | 0 |
| Answer» B. \[4\] | |
| 1473. |
The area of a rhombus is\[60\text{ }c{{m}^{2}}.\]If one of its diagonals is 15 cm, find the other diagonal. |
| A. | 4 cm |
| B. | 8 cm |
| C. | 10 cm |
| D. | 16 cm |
| Answer» C. 10 cm | |
| 1474. |
In the given figure,\[\Delta ABC\]is inscribed in a circle. The bisector of\[\angle BAC\]meets BC at D and the circle at E. If EC is joined and \[\angle ECD={{30}^{o}},\]find \[\angle BAC.\] |
| A. | \[30{}^\circ \] |
| B. | \[40{}^\circ \] |
| C. | \[50{}^\circ \] |
| D. | \[60{}^\circ \] |
| Answer» E. | |
| 1475. |
In the given figure, if PQRS is a cyclic quadrilateral with respective angles. Then, the ratio of\[x\]and y is ____. |
| A. | 1 : 3 |
| B. | 5 : 6 |
| C. | 2 : 3 |
| D. | None of these |
| Answer» C. 2 : 3 | |
| 1476. |
If In the figure ABCD is a rectangle inscribed in a quadrant of a circle of radius 10 cm. If \[AD=2\sqrt{5}\,cm,\]find the area of the rectangle. |
| A. | \[30\,c{{m}^{2}}\] |
| B. | \[50\,c{{m}^{2}}\] |
| C. | \[~40\text{ }c{{m}^{2}}\] |
| D. | \[~35\text{ }c{{m}^{2}}\] |
| Answer» D. \[~35\text{ }c{{m}^{2}}\] | |
| 1477. |
In the given figure, ABCD is a trapezium with parallel sides AB = a cm, and CD = b cm. E and F are the mid points of non-parallel sides. What is the ratio of ar (EFCD) and ar (ABFE)? |
| A. | b:a |
| B. | (a + 3b): (3a + b) |
| C. | (1 + 3b): (3a + b) |
| D. | (2a + b): (3a + b) |
| Answer» C. (1 + 3b): (3a + b) | |
| 1478. |
The LCM and HCF of the polynomials \[\mathbf{p(x)=51 }{{\mathbf{x}}^{\mathbf{2}}}\mathbf{ (x+3}{{\mathbf{)}}^{\mathbf{3}}}\mathbf{ (x-2}{{\mathbf{)}}^{\mathbf{2}}}\] and \[\mathbf{q(x)=34x (x-1}{{\mathbf{)}}^{\mathbf{5}}}\mathbf{ (x-2}{{\mathbf{)}}^{\mathbf{3}}}\] are respectively. |
| A. | \[102{{x}^{2}} {{(x-1)}^{5}}{{(x-2)}^{3}}{{(x+3)}^{3}} and 17{{x}^{2}}{{(x-2)}^{2}}\] |
| B. | \[204{{x}^{2}} {{(x-1)}^{5}}{{(x-2)}^{3}}{{(x+3)}^{3}} and 17x(x-2)\] |
| C. | \[102{{x}^{2}} {{(x-1)}^{5}}{{(x-2)}^{3}}{{(x+3)}^{3}} and 17x{{(x-2)}^{2}}\] |
| D. | \[102{{x}^{2}} {{(x-1)}^{5}}{{(x-2)}^{2}}{{(x+3)}^{3}} and 17x{{(x-2)}^{2}}\] |
| E. | None of these |
| Answer» D. \[102{{x}^{2}} {{(x-1)}^{5}}{{(x-2)}^{2}}{{(x+3)}^{3}} and 17x{{(x-2)}^{2}}\] | |
| 1479. |
In the given figure, if p//q, what is the area of \[\Delta ABC?\] |
| A. | \[~77\text{ }c{{m}^{2}}\] |
| B. | \[~38.5\text{ }c{{m}^{2}}\] |
| C. | 40 cm |
| D. | \[~19.25\,c{{m}^{2}}\] |
| Answer» C. 40 cm | |
| 1480. |
\[0.\overline{\text{127}}\]is equal to |
| A. | \[\frac{45}{9}\] |
| B. | \[\frac{46}{9}\] |
| C. | \[\frac{2}{55}\] |
| D. | None of these |
| Answer» B. \[\frac{46}{9}\] | |
| 1481. |
Which of the following represents the point\[(2,\,\,-5)\]? |
| A. | Moving \[2\] units towards right and \[5\] units upwards. |
| B. | Moving 2 units towards left and \[5\] units upwards. |
| C. | Moving \[2\] units towards right and \[5\] units downwards. |
| D. | Moving \[2\] units towards left and \[5\] units downwards. |
| Answer» C. Moving \[2\] units towards right and \[5\] units downwards. | |
| 1482. |
A man leaves a town at 8 a.m. on his bicycle moving at 10 km/hr. Another man leaves the same town at 9 a.m. on his scooter moving at 30 km/hr .At what time does he overtake the man on the bicycle? |
| A. | 8. 30 a.m. |
| B. | 9 a.m. |
| C. | 9. 30 a.m. |
| D. | 10 am |
| Answer» D. 10 am | |
| 1483. |
In the given figure below, two chords of lengths x metre and y metre subtend angles \[\mathbf{6}{{\mathbf{0}}^{{}^\circ }}\] and \[\mathbf{9}{{\mathbf{0}}^{{}^\circ }}\] at the centre of the circle respectively. Which of the following is true? |
| A. | \[{{y}^{2}}=2{{x}^{2}}\] |
| B. | \[{{x}^{2}}=2{{y}^{2}}\] |
| C. | \[{{x}^{2}}=4{{y}^{2}}\] |
| D. | \[{{y}^{2}}=4{{x}^{2}}\] |
| Answer» B. \[{{x}^{2}}=2{{y}^{2}}\] | |
| 1484. |
In the given figure below. The angle subtended by a chord at its centre is\[\mathbf{12}{{\mathbf{0}}^{{}^\circ }}\], then the ratio between chord and radius is |
| A. | 1 : 2 |
| B. | 0.0423611111111111 |
| C. | \[\sqrt{2}:1\] |
| D. | \[\sqrt{3}:1\] |
| Answer» E. | |
| 1485. |
A quadrilateral ABCD is inscribed in c circle as shown. If \[\angle B={{125}^{o}}\]and E is a point on the circle find \[\angle AEC.\] |
| A. | \[55{}^\circ \] |
| B. | \[125{}^\circ \] |
| C. | \[130{}^\circ \] |
| D. | \[62.5{}^\circ \] |
| Answer» B. \[125{}^\circ \] | |
| 1486. |
In a triangle ABC, M is the midpoint of (AB). The coordinate of N, The midpoint of (CM) is |
| A. | (6, 4) |
| B. | (4, 6) |
| C. | (6, 7) |
| D. | (7, 6) |
| Answer» D. (7, 6) | |
| 1487. |
If ABCD is a parallelgram and diagonal (AC) and (BD) bisect each other at x. The co-ordinates of x is |
| A. | \[3\frac{1}{2},1\frac{1}{2}\] |
| B. | 2, 1 |
| C. | (1, 2) |
| D. | \[4\frac{1}{2},3\frac{1}{2}\] |
| Answer» B. 2, 1 | |
| 1488. |
For what value of k, the linear equation \[\mathbf{3x-ky=9}\] has equal values of x and y for its solution. |
| A. | \[\frac{9-3x}{2}\] |
| B. | \[\frac{3x+9}{x}, x\ne 0\] |
| C. | 0 |
| D. | \[\frac{3x-9}{x}, x\ne 0\] |
| E. | None of these |
| Answer» E. None of these | |
| 1489. |
The area of a square whose opposite vertices are \[\mathbf{(0, 0)}\]and \[\mathbf{(6, 6)}\]is _______ |
| A. | \[36\text{ }unit{{s}^{2}}\] |
| B. | \[30\text{ }unit{{s}^{2}}\] |
| C. | \[34\text{ }unit{{s}^{2}}\] |
| D. | Cannot be determined |
| E. | None of these |
| Answer» B. \[30\text{ }unit{{s}^{2}}\] | |
| 1490. |
Direction: Observe the given coordinate plane and answer the following questions. What is the y-coordinate of point\[F\]? |
| A. | \[-3\] |
| B. | \[0\] |
| C. | \[4\] |
| D. | \[-2\] |
| Answer» D. \[-2\] | |
| 1491. |
A circle is divided into 12 equal parts what is the measure of central angle in each arc? |
| A. | \[30{}^\circ \] |
| B. | \[60{}^\circ \] |
| C. | \[45{}^\circ \] |
| D. | \[48{}^\circ \] |
| Answer» B. \[60{}^\circ \] | |
| 1492. |
A line passes through the points \[\mathbf{A(-2, -2),}\] \[\mathbf{B(-5, -5)}\]and \[\mathbf{C(-10, -10)}\]. The equation of this line will be ________ |
| A. | \[x+y=0\] |
| B. | \[x-y=0\] |
| C. | \[x= -y\] |
| D. | \[x= y+1\] |
| E. | None of these |
| Answer» C. \[x= -y\] | |
| 1493. |
In the given figure, O is the centre of the circle. A is any point on minor arc BC. Find the value of \[\angle BAC-\angle OBC\] |
| A. | \[90{}^\circ \] |
| B. | \[120{}^\circ \] |
| C. | \[60{}^\circ \] |
| D. | \[45{}^\circ \] |
| Answer» B. \[120{}^\circ \] | |
| 1494. |
In the given figure, if ABCD is a parallelogram and E is the mid-point of BC, then \[ar\,(\Delta DEC)=k\]\[ar(ABCD).\]Find k. |
| A. | 2 |
| B. | \[\frac{1}{4}\] |
| C. | \[\frac{1}{2}\] |
| D. | \[\frac{2}{3}\] |
| Answer» C. \[\frac{1}{2}\] | |
| 1495. |
The median of a triangle divides it into two |
| A. | Triangles of equal area |
| B. | Congruent triangles |
| C. | Right angled triangles |
| D. | Isosceles triangles |
| Answer» B. Congruent triangles | |
| 1496. |
ABCD is a parallelogram. E is a point on 6C such that BE : EC = m : n. If AE and DB intersect at F, then what is the ratio of the area of AFEB to the area of \[\Delta AFD\] |
| A. | \[\frac{m}{n}\] |
| B. | \[{{\left( \frac{m}{n} \right)}^{2}}\] |
| C. | \[{{\left( \frac{n}{m} \right)}^{2}}\] |
| D. | \[{{\left( \frac{m}{m+n} \right)}^{2}}\] |
| Answer» E. | |
| 1497. |
The coordinates given in following table represents the solution of the equation _______. X 4 7 1 -2 Y 5 9 1 -3 |
| A. | \[3y=4x+2\] |
| B. | \[3y+4x=1\] |
| C. | \[4x-3y=1\] |
| D. | \[4x-8y=9\] |
| E. | None of these |
| Answer» D. \[4x-8y=9\] | |
| 1498. |
In the given figure, ABCD and ABPD are cyclic quadrilaterals. If\[\angle BOD={{160}^{o}},\]find the difference of \[\angle BPD\]and \[\angle BCD.\] |
| A. | \[80{}^\circ \] |
| B. | \[90{}^\circ \] |
| C. | \[0{}^\circ \] |
| D. | \[110{}^\circ \] |
| Answer» D. \[110{}^\circ \] | |
| 1499. |
In the given figure below, two circles with their centres at O and P and radii 9 cm and 4 cm respectively touch each other externally. The length of their common tangent is |
| A. | 8.5 cm. |
| B. | \[\frac{8}{\sqrt{2}}\] cm. |
| C. | \[8\sqrt{2}\]cm. |
| D. | 12cm. |
| Answer» E. | |
| 1500. |
If \[A{{x}^{n}}+B{{x}^{n-2}}+C{{x}^{n-8}}+D\]is a polynomial such that \[\mathbf{A + B + C + D = 0}\] degree of the polynomial is ___________ |
| A. | n |
| B. | 0 |
| C. | 1 |
| D. | not defined |
| E. | None of these |
| Answer» E. None of these | |