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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.
| 1501. |
In a\[\Delta ABC,G\]is the centroid. What is the ratio of area of \[\Delta AGC\]to area of\[\Delta ABC?\] |
| A. | 1 :2 |
| B. | 1 :3 |
| C. | 1:4 |
| D. | 0.045833333333333 |
| Answer» C. 1:4 | |
| 1502. |
5 men can build a wall 108 m long in 6 days, what is the length of similar wall that can be built by 25 men in 3 days? |
| A. | 75 |
| B. | 80 |
| C. | 85 |
| D. | 90 |
| Answer» E. | |
| 1503. |
Two circles intersect at two points A and B. If AD and AC are diameters of the circles, then which of the following step is INCORRECT in order to prove that B lies on the line segment DC? (p) Join AB. (q)\[\angle ABC={{90}^{o}}\]and\[\angle ABC={{90}^{o}}\](Angle in semicircle) (r)\[\angle ABD+\angle ABC={{360}^{o}}\] (s) DBC is a straight line segment. Hence B lies on the line segment DC. |
| A. | p |
| B. | q |
| C. | r |
| D. | s |
| Answer» D. s | |
| 1504. |
Where does the point \[(3,\,\,0)\] lie? |
| A. | On positive X-axis |
| B. | On positive Y-axis |
| C. | On negative X-axis |
| D. | On negative Y-axis |
| Answer» B. On positive Y-axis | |
| 1505. |
Any solution of the linear equation \[\mathbf{-7x+0}\mathbf{.y-14=0}\]in two variables is of the form ________ |
| A. | \[(-\,2, 0)\] |
| B. | \[(-\,2, n)\] |
| C. | \[(0, -2)\] |
| D. | \[(n, -2)\] |
| E. | None of these |
| Answer» C. \[(0, -2)\] | |
| 1506. |
The area of the triangle formed by \[(\mathbf{a},b+\mathbf{c}),(\mathbf{b},\mathbf{c}+\mathbf{a})\] and \[\left( \mathbf{c},\mathbf{a}+\mathbf{b} \right)\] is |
| A. | \[a+b+c\] |
| B. | abc |
| C. | \[{{\left( a+b+c \right)}^{2}}\] |
| D. | 0 |
| Answer» E. | |
| 1507. |
What are the signs of the coordinates of a point in the III quadrant? |
| A. | \[(+,\,\,+)\] |
| B. | \[(-,\,\,+)\] |
| C. | \[(+,\,\,-)\] |
| D. | \[(-,\,\,-)\] |
| Answer» E. | |
| 1508. |
The graph of \[\frac{\mathbf{5x}}{\mathbf{2}}\mathbf{=7+}\frac{\mathbf{1}}{\mathbf{2}}\mathbf{x-15}\] is a line _________ |
| A. | parallel to x-axis at a distance of 4 units from the origin. |
| B. | parallel to y-axis at a distance of 8 units from the origin. |
| C. | making an intercept 4 on the y-axis. |
| D. | making an intercept 4 on the y-axis |
| E. | None of these |
| Answer» D. making an intercept 4 on the y-axis | |
| 1509. |
ABCD is a cyclic quadrilateral in which\[\angle DBC={{55}^{o}}\] and \[\angle BAC={{55}^{o}}.\]Find \[\angle BCD.\] |
| A. | \[60{}^\circ \] |
| B. | \[80{}^\circ \] |
| C. | \[100{}^\circ \] |
| D. | \[120{}^\circ \] |
| Answer» C. \[100{}^\circ \] | |
| 1510. |
Points \[A(-a,\,\,-a),\,\,B(a,\,\,-a),\,\,C(a,\,\,a)\] and \[D(x,\,\,y)\] form a square. In which of the following quadrants does the point \[D\] lie? |
| A. | II |
| B. | III |
| C. | I |
| D. | IV |
| Answer» B. III | |
| 1511. |
A line AB intersects a circle with centre O and radius 2 cm at a point B. C is any other point on the circle in line with O and A, Find the measure of AC. |
| A. | 4 cm |
| B. | \[2+\sqrt{2}\,cm\] |
| C. | \[4\sqrt{2}\,cm\] |
| D. | \[2+2\sqrt{2}\,cm\] |
| Answer» E. | |
| 1512. |
In an examination, 34% of the students failed in Mathematics and 42% failed in English. If 20% of the students failed in both the subjects, then find the of who passed in both the subjects. |
| A. | 40% |
| B. | 42% |
| C. | 44% |
| D. | 46% |
| E. | None of these |
| Answer» D. 46% | |
| 1513. |
If \[\sqrt{3{{x}^{4}}-4\sqrt{3}{{x}^{3}}-2{{x}^{2}}+4\sqrt{3}x+3}\]\[=(a{{x}^{2}}+bx+c)\] Then which one of the following is incorrect? |
| A. | a and b are of different sign |
| B. | \[{{b}^{2}}+2ac=2\] |
| C. | \[2bc=4\sqrt{3}\] |
| D. | \[ab=-\,2\sqrt{3}\] |
| E. | None of these |
| Answer» C. \[2bc=4\sqrt{3}\] | |
| 1514. |
Direction: Based on the figure given, identify the true statements. |
| A. | \[ar(PQRS)=2ar(\Delta PNR)\] |
| B. | \[ar(PQRS)=2ar(MNRS)\] |
| C. | \[ar(PQRS)=ar(MNRS)\] |
| D. | \[ar(MNRS)=2ar(PQRS)\] |
| Answer» D. \[ar(MNRS)=2ar(PQRS)\] | |
| 1515. |
In the given figure, REST is a parallelogram. \[TP\bot RE\]and\[TQ\bot ES.\]If TR = 6cm, RE=16 cm and TP = 4.8 cm. what is the length of TQ? |
| A. | 12.8 cm |
| B. | 15 cm |
| C. | 8 cm |
| D. | 10.2 cm |
| Answer» B. 15 cm | |
| 1516. |
Ten pipes of the same type can fill up a tank in 16 minutes. If two pipes go out of order, how long will the remaining pipes take to fill the tank? |
| A. | 18 mins |
| B. | 20 mins |
| C. | 22 mins |
| D. | 24 mins |
| Answer» C. 22 mins | |
| 1517. |
A parallelogram has sides 15 cm and 7 cm long. The length of one of the diagonals is 20 cm. The area of the parallelogram is |
| A. | 42 \[c{{m}^{2}}\] |
| B. | 60 \[c{{m}^{2}}\] |
| C. | 84 \[c{{m}^{2}}\] |
| D. | 96 \[c{{m}^{2}}\] |
| Answer» D. 96 \[c{{m}^{2}}\] | |
| 1518. |
Which of the following points lie on the \[y\text{-}\]axis? |
| A. | \[(0,\,\,4)\] |
| B. | \[(-2,\,\,0)\] |
| C. | \[(3,\,\,0)\] |
| D. | \[(-1,\,\,-1)\] |
| Answer» B. \[(-2,\,\,0)\] | |
| 1519. |
The area of a trapezium is \[24\text{ }c{{m}^{2}}.\]The distance between its parallel sides is 4 cm. If one of the parallel sides is 7 cm, what is the measure of the other parallel side? |
| A. | 5 cm |
| B. | 8 cm |
| C. | 12 cm |
| D. | 7 cm |
| Answer» B. 8 cm | |
| 1520. |
In the given figure below, if \[\angle BAD={{50}^{{}^\circ }},\text{ }\angle ADC={{115}^{{}^\circ }}\] then \[\angle DPC\] is |
| A. | \[{{40}^{{}^\circ }}\] |
| B. | \[{{65}^{{}^\circ }}\] |
| C. | \[{{50}^{{}^\circ }}\] |
| D. | \[{{60}^{{}^\circ }}\] |
| Answer» C. \[{{50}^{{}^\circ }}\] | |
| 1521. |
ABCD is a quadrilateral, the sides of which touch a circle. Which one of the following is correct? |
| A. | \[AB+AD=CB+CD\] |
| B. | \[AB:CD=AD:BC\] |
| C. | \[AB+CD=AD+BC\] |
| D. | \[AB:AD=CB:CD\] |
| Answer» D. \[AB:AD=CB:CD\] | |
| 1522. |
The distance between the centre of two circles having radii 7.5 cm and 4.5 cm respectively is 13 cm. what is the length of the transverse common tangent of these circles? |
| A. | 8 cm |
| B. | 7cm |
| C. | 6 cm |
| D. | 5 cm |
| Answer» E. | |
| 1523. |
'O' is the centre of a circle,\[\angle BOA={{90}^{o}}\] and \[\angle COA={{110}^{o}}.\]Find the measure of \[\angle BAC.\] |
| A. | \[70{}^\circ \] |
| B. | \[80{}^\circ \] |
| C. | \[120{}^\circ \] |
| D. | \[50{}^\circ \] |
| Answer» C. \[120{}^\circ \] | |
| 1524. |
The circumference of a circle is 60 cm. An arc subtends 90° at the centre. Find its length. |
| A. | 10 cm |
| B. | 15 cm |
| C. | 20 cm |
| D. | 25 cm |
| Answer» C. 20 cm | |
| 1525. |
What is the area of the triangle formed by the mid-points of the sides of\[\Delta \mathbf{ABC}\]. With coordinate A (3, 2), B(-5, 6) and C (8,3). |
| A. | 7 sq. units |
| B. | 14 sq. units |
| C. | 2.5 sq. units |
| D. | 5 sq. units |
| Answer» C. 2.5 sq. units | |
| 1526. |
In the given figure below, Chords AB and CD of a circle intersect at E and are perpendicular to each other. Segments AE, EB and ED are of lengths 2 cm, 6 cm and 3 cm respectively. Then the length of the diameter of the circle (in cm) is |
| A. | \[\sqrt{65}\] |
| B. | \[\frac{1}{2}\sqrt{65}\] |
| C. | 65 |
| D. | \[\frac{65}{2}\] |
| Answer» B. \[\frac{1}{2}\sqrt{65}\] | |
| 1527. |
In the given figure below, A chord AB of a circle \[{{\mathbf{C}}_{\mathbf{1}}}\] of radius \[\left( \sqrt{\mathbf{2}}\mathbf{+1} \right)\]cm touches a circle\[{{\mathbf{C}}_{2}}\]which is concentric to\[{{\mathbf{C}}_{1}}\]. If the radius of \[{{\mathbf{C}}_{2}}\] is \[\left( \sqrt{\mathbf{2}}\mathbf{-1} \right)\] cm. The length of AB is: |
| A. | \[3\sqrt[4]{3}\]cm |
| B. | \[6\sqrt{3}\]cm |
| C. | \[4\sqrt[4]{2}\]cm |
| D. | \[4\sqrt{3}\] cm |
| Answer» D. \[4\sqrt{3}\] cm | |
| 1528. |
Which of the following is not a proper fraction? |
| A. | \[\frac{2}{3}\] |
| B. | \[\frac{3}{4}\] |
| C. | \[\frac{5}{7}\] |
| D. | \[\frac{6}{5}\] |
| Answer» E. | |
| 1529. |
A field is in the shape of a trapezium whose parallel sides are 25m and 10m. The non parallel sides are 14m and 13m. Then the area of the field is |
| A. | 190 \[{{m}^{2}}\] |
| B. | 180 \[{{m}^{2}}\] |
| C. | 196 \[{{m}^{2}}\] |
| D. | 195 \[{{m}^{2}}\] |
| Answer» D. 195 \[{{m}^{2}}\] | |
| 1530. |
The area of a rhombus whose perimeter is 80 m and one of whose diagonal is 24 m, is |
| A. | 380 \[{{m}^{2}}\] |
| B. | 370\[{{m}^{2}}\] |
| C. | 374 \[{{m}^{2}}\] |
| D. | 384\[{{m}^{2}}\] |
| Answer» E. | |
| 1531. |
The figure obtained by joining the mid-points of the adjacent sides of a rectangle of sides 8 cm and 6 cm is |
| A. | A rhombus of area \[24\text{ }c{{m}^{2}}\] |
| B. | A square of area\[25\text{ }c{{m}^{2}}\] |
| C. | A trapezium of area\[24\text{ }c{{m}^{2}}\] |
| D. | A rectangle of area\[~24\,c{{m}^{2}}\] |
| Answer» B. A square of area\[25\text{ }c{{m}^{2}}\] | |
| 1532. |
If \[\frac{100\sqrt{25}}{\sqrt{25}+x}=50\], then the value of \[x\] is |
| A. | 25 |
| B. | \[\frac{1}{\sqrt{25}}\] |
| C. | \[\sqrt{25}\] |
| D. | \[\frac{1}{25}\] |
| Answer» D. \[\frac{1}{25}\] | |
| 1533. |
Direction: Observe the given coordinate plane and answer the following questions. What are the coordinates of point\[E\]? |
| A. | \[(0,\,\,-2)\] |
| B. | \[(1,\,\,-2)\] |
| C. | \[(-2,\,\,1)\] |
| D. | \[(-2,\,\,0)\] |
| Answer» E. | |
| 1534. |
In the given figure, ABCD is a cyclic quadrilateral whose side AB is a diameter of the circle passing through A, B, C and D. If\[\angle ADC={{130}^{o}},\]find \[\angle BAC.\] |
| A. | \[{{45}^{o}}\] |
| B. | \[{{58}^{o}}\] |
| C. | \[{{60}^{o}}\] |
| D. | \[{{40}^{o}}\] |
| Answer» E. | |
| 1535. |
PQ and XY are two chords of a circle with centre O. If OA = OB, which of the following is correct? |
| A. | PQ > XY |
| B. | PQ < XY |
| C. | PQ || XY |
| D. | PQ = XY |
| Answer» E. | |
| 1536. |
In the given graph, \[\Delta ABC\] and \[\Delta ABD\] are equilateral triangles. Find the respective coordinates of points \[C\] and\[D\]. |
| A. | \[\left( 0,\,\,a\sqrt{3} \right)\left( 0,\,\,a\sqrt{3} \right)\] |
| B. | \[\left( 0,\,\,-a\sqrt{3} \right)\left( 0,\,\,a\sqrt{3} \right)\] |
| C. | \[\left( 0,\,\,a\sqrt{3} \right)\left( 0,\,\,-a\sqrt{3} \right)\] |
| D. | \[\left( a\sqrt{3},\,\,0 \right)\left( -a\sqrt{3},\,\,0 \right)\] |
| Answer» D. \[\left( a\sqrt{3},\,\,0 \right)\left( -a\sqrt{3},\,\,0 \right)\] | |
| 1537. |
The value of \[4\times 100+3\times \frac{9}{100}\]is |
| A. | 430.09 |
| B. | 430.0009 |
| C. | 430.009 |
| D. | 430.900 |
| Answer» D. 430.900 | |
| 1538. |
A point is at a distance of 4 units from the x-axis and 7 units from the y axis. Which of the following may be the co-ordinates of the point? |
| A. | \[\left( 7,\,\,4 \right)\] |
| B. | \[\left( -7,\text{ }4 \right)\] |
| C. | \[\left( -7,\,-4 \right)\] |
| D. | All of these |
| Answer» E. | |
| 1539. |
In the given figure the area of square ABCD is, |
| A. | 12 sq. units |
| B. | 8 sq. units |
| C. | 6 sq. units |
| D. | 4 sq. units |
| Answer» E. | |
| 1540. |
15 labourers can fill 35 boxes in 7 days. How many labourers can fill 65 boxes in 5 days? |
| A. | 13 |
| B. | 39 |
| C. | 45 |
| D. | 55 |
| Answer» C. 45 | |
| 1541. |
ABCD is a trapezium with parallel sides AB = a and DC = b. If E and F are mid- points of non-parallel sides AD and BC respectively, then the ratio of areas of quadrilaterals ABFE and EFCD is |
| A. | a : b |
| B. | \[(a+3b):(3a+b)\] |
| C. | \[(3a+b):(a+3b)\] |
| D. | \[(2a+b):(3a+b)\] |
| Answer» D. \[(2a+b):(3a+b)\] | |
| 1542. |
The only prime number which is even is |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | none of these |
| Answer» B. 4 | |
| 1543. |
AB is a chord of a circle of radius 4.3 en and P is a point on AB which divides I into two parts in the ratio 7:10. If P is 2.7 cm away from the centre O, find the length of AB. |
| A. | 5 cm |
| B. | 6.8 cm |
| C. | 6.4 cm |
| D. | 6.1 cm |
| Answer» C. 6.4 cm | |
| 1544. |
The simplest rationalising factor of \[3\sqrt{75}\] is |
| A. | \[\sqrt{3}\] |
| B. | \[\sqrt{5}\] |
| C. | 5 |
| D. | 3 |
| Answer» B. \[\sqrt{5}\] | |
| 1545. |
The graph shows the wages paid to sales assistants in a departmental store. What is the wage working for 18 hours. |
| A. | 270 |
| B. | 260 |
| C. | 275 |
| D. | 265 |
| Answer» B. 260 | |
| 1546. |
For the triangle ABC shown alongside; the gradient of BC is |
| A. | 2 |
| B. | -1 |
| C. | -2 |
| D. | 1 |
| Answer» D. 1 | |
| 1547. |
If the radius of a circle is 10 cm, find the length of a chord of the circle which is at a distance of 6 cm from its centre. |
| A. | 16 cm |
| B. | 10 cm |
| C. | 12 cm |
| D. | 14 cm |
| Answer» B. 10 cm | |
| 1548. |
Salaries of Ravi and Sumit are in the ratio \[2:3\]. If the salary of each is by Rs. 4000, the new ratio becomes \[40:57\]. What is Sumit present salary? |
| A. | Rs. 32000 |
| B. | Rs. 34000 |
| C. | Rs. 38000 |
| D. | Rs. 40000 |
| E. | None of these |
| Answer» D. Rs. 40000 | |
| 1549. |
The divisor when the quotient, divident and the remainder are respectively 547, 171282 and 71 is equal to |
| A. | 333 |
| B. | 323 |
| C. | 313 |
| D. | 303 |
| Answer» D. 303 | |
| 1550. |
In \[\Delta ABC,\, AB =7.2\,cm, BC=4.8cm,\,AM\bot BC\]if \[CL=4\,cm,\]find the measure of AM. |
| A. | 12 cm |
| B. | 8 cm |
| C. | 4 cm |
| D. | 6 cm |
| Answer» E. | |