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.
| 1551. |
Step I & Step V are in correct order while constructing an equilateral triangle one of whose altitudes measures 5 cm. Which of the following options is CORRECT while arranging the remaining steps in CORRECT order? Step I : Draw a line XV. (i) From\[\angle P,\]set off PA = 5 cm, cutting PQ at A (ii) From P, draw \[PQ\bot XY.\] (iii) Mark any point P an XY. Step V : Construct \[\angle PAB={{30}^{o}}\]and \[\angle PAC={{30}^{o}},\]meeting XY at B and C respectively. |
| A. | \[(i)\to (ii)\to (iii)\] |
| B. | \[(iii)\to (ii)\to (i)\] |
| C. | \[(ii)\to (i)\to (iii)\] |
| D. | \[(iii)\to (i)\to (ii)\] |
| Answer» C. \[(ii)\to (i)\to (iii)\] | |
| 1552. |
Calculate the time required to cover 90 km at the speed of 30 km/hr.? |
| A. | 1 hr. |
| B. | 3 hr. |
| C. | \[\frac{1}{3}\] hr. |
| D. | 30 hr. |
| Answer» C. \[\frac{1}{3}\] hr. | |
| 1553. |
O is the centre of the circle having radius 5 cm. AB and AC are two chords such that AB = AC = 6 cm. If OA meets BC at P, then OP = ____. |
| A. | 3.6 cm |
| B. | 1.4 cm |
| C. | 2 cm |
| D. | 3 cm |
| Answer» C. 2 cm | |
| 1554. |
Which of the following numbers is different from others? |
| A. | \[\sqrt{2}\] |
| B. | \[\sqrt{3}\] |
| C. | \[\sqrt{4}\] |
| D. | \[\sqrt{5}\] |
| Answer» D. \[\sqrt{5}\] | |
| 1555. |
\[\mathbf{x=-5}\] and \[\mathbf{y=1}\] is a solution of the linear equation _______ |
| A. | \[x-2y= 7\] |
| B. | \[3y-x=-\,8\] |
| C. | \[6y-x=11\] |
| D. | \[3x=15y\] |
| E. | None of these |
| Answer» D. \[3x=15y\] | |
| 1556. |
Into how many parts does a circle divide a plane including itself? |
| A. | 2 parts |
| B. | 3 parts |
| C. | 4 parts |
| D. | 5 parts |
| Answer» C. 4 parts | |
| 1557. |
In the given figure below, A, B and C are three points on a circle with centre O. The tangent at C meets BA produced to T. If \[\angle \mathbf{ATC}=\mathbf{4}{{\mathbf{0}}^{{}^\circ }}\]and \[\angle \mathbf{ACT}=\mathbf{3}{{\mathbf{8}}^{{}^\circ }}\], then what is the value of \[\angle \mathbf{AOB}\]? |
| A. | \[{{78}^{{}^\circ }}\] |
| B. | \[{{96}^{{}^\circ }}\] |
| C. | \[{{102}^{{}^\circ }}\] |
| D. | \[{{128}^{{}^\circ }}\] |
| Answer» E. | |
| 1558. |
In the given figure below, AB is a chord of a circle with centre O. A tangent AT is drawn at point A so that \[\angle \mathbf{BAT}\text{ }=\mathbf{4}{{\mathbf{0}}^{{}^\circ }}\]. Then \[\angle \mathbf{ADB}=\]? |
| A. | \[{{120}^{{}^\circ }}\] |
| B. | \[{{130}^{{}^\circ }}\] |
| C. | \[{{140}^{{}^\circ }}\] |
| D. | \[{{150}^{{}^\circ }}\] |
| Answer» D. \[{{150}^{{}^\circ }}\] | |
| 1559. |
If E, F, G and H are the mid-points of sides of a parallelogram ABCD then \[ar(EFGH)=\_\_\_\_.\] |
| A. | \[\frac{1}{3}\,ar\,(ABCD)\] |
| B. | \[\,ar\,(ABCD)\] |
| C. | \[\frac{1}{2}\,ar(ABCD)\] |
| D. | \[\frac{1}{4}\,ar(ABCD)\] |
| Answer» D. \[\frac{1}{4}\,ar(ABCD)\] | |
| 1560. |
Which one of the following is a rational number? |
| A. | \[{{(\sqrt{2})}^{2}}\] |
| B. | \[2\sqrt{2}\] |
| C. | \[2+\sqrt{2}\] |
| D. | \[\frac{\sqrt{2}}{2}\] |
| Answer» B. \[2\sqrt{2}\] | |
| 1561. |
In a group of cows and hens m the total number of legs is 12 more than twice the total number of heads. The number cows is __________ |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | Cannot be determined |
| E. | None of these |
| Answer» D. Cannot be determined | |
| 1562. |
If E, F, G and H are respectively the mid points of the sides of a parallelogram ABCD and ar\[(EFGH)=40c{{m}^{2}},\]find the ar (parallelogram ABCD). |
| A. | \[~40\,c{{m}^{2}}\] |
| B. | \[~20\,c{{m}^{2}}\] |
| C. | \[~80\text{ }c{{m}^{2}}\] |
| D. | \[~60\text{ }c{{m}^{2}}\] |
| Answer» D. \[~60\text{ }c{{m}^{2}}\] | |
| 1563. |
ABC is an equilateral triangle. P and Q are two points on \[\overline{\mathbf{AB}}\] and \[\overline{\mathbf{AC}}\] respectively such that\[\mathbf{PQ}\parallel \mathbf{BC}\]. If \[\overline{\mathbf{PQ}}=\mathbf{3}\]cm, then area of \[\Delta \mathbf{APQ}\] is: |
| A. | \[\frac{25}{4}\]sq.cm |
| B. | \[\frac{25}{\sqrt{3}}\]sq.cm |
| C. | \[\frac{9\sqrt{3}}{4}\]sq.cm |
| D. | \[25\sqrt{3}\]sq.cm |
| Answer» D. \[25\sqrt{3}\]sq.cm | |
| 1564. |
The population of a bacteria culture doubles in number every 12 minutes. The ratio of the number of bacteria at the end of 1 hour to the number of bacteria at the; beginning of that hour is |
| A. | 8 : 1 |
| B. | 16 : 1 |
| C. | 32 : 1 |
| D. | 60 : 1 |
| Answer» D. 60 : 1 | |
| 1565. |
Which of the following is true about the ordinate? |
| A. | It is positive above x-axis. |
| B. | It is positive above y-axis. |
| C. | It is positive to the right of the origin. |
| D. | It is negative to the left of the origin. |
| Answer» B. It is positive above y-axis. | |
| 1566. |
The perpendicular distance of the point \[\mathbf{(6, -8)}\] from the x-axis is _______ |
| A. | 8 Units |
| B. | 6 units |
| C. | 10 units |
| D. | 2 units |
| E. | None of these |
| Answer» B. 6 units | |
| 1567. |
An equilateral\[\Delta ABC\] is inscribed in a circle with centre O. Find the measure of \[\angle BOC.\] |
| A. | \[110{}^\circ \] |
| B. | \[100{}^\circ \] |
| C. | \[120{}^\circ \] |
| D. | \[130{}^\circ \] |
| Answer» D. \[130{}^\circ \] | |
| 1568. |
The simplest rationalising factor of \[\sqrt[4]{48}\] is |
| A. | \[\sqrt[4]{9}\] |
| B. | \[\sqrt[4]{27}\] |
| C. | \[\sqrt[3]{9}\] |
| D. | None of those |
| Answer» C. \[\sqrt[3]{9}\] | |
| 1569. |
ABCD is a parallelogram. E is a point BC such that BE : EC = m : n. If AE and BD intersect in F, then what is the ratio of the area of \[\Delta \mathbf{PEB}\] to the area of \[\Delta \mathbf{AFD}\]? |
| A. | \[m\text{/}n\] |
| B. | \[{{\left( m\text{/}n \right)}^{2}}\] |
| C. | \[{{\left( n\text{/}m \right)}^{2}}\] |
| D. | \[{{\left[ m/{{(n+m)}^{2}} \right]}^{2}}\] |
| Answer» E. | |
| 1570. |
The area of a rectangle lies between 40\[\mathbf{c}{{\mathbf{m}}^{\mathbf{2}}}\] and 45\[\mathbf{c}{{\mathbf{m}}^{\mathbf{2}}}\]. If one of the sides is 5cm, then its diagonal lies between |
| A. | 8 cm and 10 cm |
| B. | 9 cm and 11 cm |
| C. | 10 cm and 12 cm |
| D. | 11 cm and 13 cm |
| Answer» C. 10 cm and 12 cm | |
| 1571. |
In given figure, if chords AB and CD of the circle intersect each other at right angles, then\[x+y=\_\_\_\_.\] |
| A. | \[{{45}^{o}}\] |
| B. | \[{{60}^{o}}\] |
| C. | \[{{75}^{o}}\] |
| D. | \[{{90}^{o}}\] |
| Answer» E. | |
| 1572. |
In the given figure, if \[ar(\Delta ABC)=28\,\,c{{m}^{2}}\], then \[ar(AEDF)=\] |
| A. | \[21\text{ }c{{m}^{2}}\] |
| B. | \[~18\,c{{m}^{2}}\] |
| C. | \[~16\text{ }c{{m}^{2}}\] |
| D. | \[~14\text{ }c{{m}^{2}}\] |
| Answer» E. | |
| 1573. |
Choose the wrong statement: |
| A. | There is no largest natural number. |
| B. | There is no largest whole number. |
| C. | Every natural number is a whole number. |
| D. | All natural numbers together with zero are called integers. |
| Answer» E. | |
| 1574. |
In the given figure, O is the centre of a circle. If \[\angle DAC={{54}^{o}}\]and \[\angle ACB={{63}^{o}},\]find \[\angle DAB.\] |
| A. | \[72{}^\circ \] |
| B. | \[54{}^\circ \] |
| C. | \[81{}^\circ \] |
| D. | \[27{}^\circ \] |
| Answer» D. \[27{}^\circ \] | |
| 1575. |
A chord of a circle divides the circular region into two parts. What is the region that contains the centre? |
| A. | Minor Arc |
| B. | Major Arc |
| C. | Minor Segment |
| D. | Major Segment |
| Answer» E. | |
| 1576. |
\[{{C}_{1}}\]is a circle of radius 6 cm,\[{{C}_{2}}\]is a circle I of radius 8 cm. Jyoti wants the two circles to touch tangentially. She knows that there are two possibilities for the distance between their centres. What are these two distances? |
| A. | 3 cm and 4 cm |
| B. | 2 cm and 8 cm |
| C. | 2 cm and 14 cm |
| D. | 6 cm and 8 cm |
| Answer» D. 6 cm and 8 cm | |
| 1577. |
Direction: Each of the questions Mow consists of a questions followed by statements. You have to study the questions and the statements and decide which of the statement (s) is/are necessary to answer the question? What is the area of rectangular field? (I) The perimeter of the field is 110 metres. (II) The length is 5 metres more than the width. (III) The ratio between length and width is 6:5 respectively. |
| A. | I and II only |
| B. | Any two of the three |
| C. | I, and either II or III only |
| D. | None of these |
| Answer» C. I, and either II or III only | |
| 1578. |
Direction: Each of the questions Mow consists of a questions followed by statements. You have to study the questions and the statements and decide which of the statement (s) is/are necessary to answer the question? A path runs around a rectangular lawn. What is the width of the path? (I) The length and breadth of the lawn are in the ratio of 2:1 respectively. (II) The width of the path is twenty times the length of the lawn. (III) The cost of gravelling the path @ Rs. 50 per nr is Rs. 4416. |
| A. | All I, II and III |
| B. | III, and either I or II |
| C. | I and III only |
| D. | II and III only |
| Answer» B. III, and either I or II | |
| 1579. |
In \[\Delta XYZ,P\]and Q are two points on side XZ such that XP = PQ = QZ. Which of the following is correct? |
| A. | \[ar(\Delta PXY)=ar(\Delta PYZ)\] |
| B. | \[ar(\Delta PXY)=ar(\Delta PYQ)=ar(\Delta QYZ)\] |
| C. | \[ar(\Delta PYQ)=ar(\Delta XYQ)\] |
| D. | \[ar(\Delta QYZ)=ar(\Delta XYQ)\] |
| Answer» C. \[ar(\Delta PYQ)=ar(\Delta XYQ)\] | |
| 1580. |
The ratio between the rates of walking of A and B is 2: 3. If the time taken by B to cover a distance is 24minutes, find the time taken by A to cover the same distance. |
| A. | 12 minutes |
| B. | 24 minutes |
| C. | 36 minutes |
| D. | 48 minutes |
| Answer» D. 48 minutes | |
| 1581. |
Two parallelograms are on same base and between same parallels. Then, the ratio of their areas is |
| A. | 1 : 2 |
| B. | 1 : 1 |
| C. | 2 : 1 |
| D. | 3 : 1 |
| Answer» C. 2 : 1 | |
| 1582. |
The point, at which the graph of the linear equation \[\mathbf{x-y=9}\]meets a line which is parallel to the y-axis, at a distance of 3 units from the origin and in the positive direction of x-axis, is _______ |
| A. | \[(3, 0)\] |
| B. | \[(-\,3, 6)\] |
| C. | \[(6, -3)\] |
| D. | \[(3, -6)\] |
| E. | None of these |
| Answer» E. None of these | |
| 1583. |
In the given figure, ABCD is a parallelogram. If area of\[\Delta ABL\]is \[15\text{ }c{{m}^{2}}\]and area of\[\Delta DCL\] is \[32\,c{{m}^{2}},\] find the area of the parallelogram ABCD. |
| A. | \[~94\text{ }c{{m}^{2}}\] |
| B. | \[~86\text{ }c{{m}^{2}}\] |
| C. | \[~72\text{ }c{{m}^{2}}\] |
| D. | \[~65\text{ }c{{m}^{2}}\] |
| Answer» B. \[~86\text{ }c{{m}^{2}}\] | |
| 1584. |
What is the intersection of \[X\] and \[Y\] axes called? |
| A. | Origin |
| B. | Null point |
| C. | Common point |
| D. | Ordinate |
| Answer» B. Null point | |
| 1585. |
The distance between the points \[\left( \mathbf{x},\mathbf{0} \right)\] and \[\left( \mathbf{0},\mathbf{y} \right)\] is |
| A. | \[{{x}^{2}}+{{y}^{2}}\] |
| B. | \[x+y\] |
| C. | \[{{x}^{2}}-{{y}^{2}}\] |
| D. | \[\sqrt{{{x}^{2}}+{{y}^{2}}}\] |
| Answer» E. | |
| 1586. |
In a given figure line segment is of length 10 units. If the co-ordinates of its one end; are (2, -3) and the ordinate of the other end is 10, then its abscissa is |
| A. | \[9,\text{ }6\] |
| B. | \[3,\,-9\] |
| C. | \[-3,\text{ }9\] |
| D. | \[9,-\,6\] |
| Answer» C. \[-3,\text{ }9\] | |
| 1587. |
If the points (2K, 3K), (K, 2K) and (1, 2) are collinear, then K |
| A. | \[-1\] |
| B. | 1 |
| C. | \[\frac{1}{2}\] |
| D. | \[\frac{1}{3}\] |
| Answer» C. \[\frac{1}{2}\] | |
| 1588. |
O is the centre of the circle as shown in the figure.\[\angle QRP={{35}^{o}}\]and the distance between P and Q through 'O' is 4 cm. What is the measure of\[\angle ROQ?\] |
| A. | \[55{}^\circ \] |
| B. | \[35{}^\circ \] |
| C. | \[105{}^\circ \] |
| D. | \[70{}^\circ \] |
| Answer» B. \[35{}^\circ \] | |
| 1589. |
In the given figure, AOB is the diameter of a circle and CD || AB. If \[\angle BAD={{30}^{o}},\]then \[\angle CAD=\_\_\_\_.\] |
| A. | \[{{30}^{o}}\] |
| B. | \[{{60}^{o}}\] |
| C. | \[{{45}^{o}}\] |
| D. | \[{{50}^{o}}\] |
| Answer» B. \[{{60}^{o}}\] | |
| 1590. |
The square root of \[{{\mathbf{(ab+ac-bc)}}^{\mathbf{2}}}\mathbf{-4abc(a-b)}\]is ________ |
| A. | \[(bc+ca-ab)\] |
| B. | \[(ab+bc-ca)\] |
| C. | \[(ab+bc+ca)\] |
| D. | \[(ab-bc+ca)\] |
| E. | None of these |
| Answer» C. \[(ab+bc+ca)\] | |
| 1591. |
One of the diagonals of a quadrilateral is 16 cm. The perpendiculars drawn to it from its opposite vertices are 2.6 cm and 1.4 cm. Find its area. |
| A. | \[32\text{ }c{{m}^{2}}\] |
| B. | \[~40\text{ }c{{m}^{2}}\] |
| C. | \[~26\text{ }c{{m}^{2}}\] |
| D. | \[28\text{ }c{{m}^{2}}\] |
| Answer» B. \[~40\text{ }c{{m}^{2}}\] | |
| 1592. |
\[7{{8}^{3}} - 3{{3}^{3}} - 4{{5}^{3}}\] is equal to |
| A. | 347490 |
| B. | 247280 |
| C. | 387490 |
| D. | 387280 |
| E. | None of these |
| Answer» B. 247280 | |
| 1593. |
If the number \[243\times 51\]is divisible by 9, then the value of digit marked as x would be |
| A. | 3 |
| B. | 1 |
| C. | 2 |
| D. | 4 |
| Answer» B. 1 | |
| 1594. |
Which of the following is smallest? |
| A. | \[\sqrt[4]{5}\] |
| B. | \[\sqrt[5]{5}\] |
| C. | \[\sqrt{4}\] |
| D. | \[\sqrt{3}\] |
| Answer» C. \[\sqrt{4}\] | |
| 1595. |
In the figure given, D divides the side BC of \[\Delta ABC\]in the ratio 3:5. What is the area of\[\Delta ABD?\] |
| A. | \[\frac{2}{5}\times ar(\Delta ABC)\] |
| B. | \[\frac{3}{5}\times ar(\Delta ABC)\] |
| C. | \[\frac{5}{8}\times ar(\Delta ABC)\] |
| D. | \[\frac{3}{8}\times ar(\Delta ABC)\] |
| Answer» E. | |
| 1596. |
In the given figure below, two chords AB and CD of a circle with centre O, intersect each other at P. If \[\angle \mathbf{AOD}=\mathbf{12}{{\mathbf{0}}^{{}^\circ }}\]and \[\angle \mathbf{BOC}=\mathbf{5}{{\mathbf{0}}^{{}^\circ }}\], then the value of \[\angle \mathbf{APC}\] is |
| A. | \[{{80}^{{}^\circ }}\] |
| B. | \[{{75}^{{}^\circ }}\] |
| C. | \[{{85}^{{}^\circ }}\] |
| D. | \[{{95}^{{}^\circ }}\] |
| Answer» E. | |
| 1597. |
In the given figure below, a circle with centre O. AB and CD are its two diameters perpendicular to each other. The length of chord AC is |
| A. | 2 AB |
| B. | \[\sqrt{2}AB\] |
| C. | \[\frac{1}{2}AB\] |
| D. | \[\frac{1}{\sqrt{2}}AB\] |
| Answer» E. | |
| 1598. |
In the given figure below, two circles \[{{C}_{1}}\] and \[{{C}_{2}}\] touch each other internally at P. Two lines PCA and PCB meet the circles \[{{\mathbf{C}}_{1}}\] in C, D and \[{{\mathbf{C}}_{2}}\] in A, B respectively. If \[\angle \mathbf{BDC}=\mathbf{13}{{\mathbf{0}}^{{}^\circ }}\], then the value of \[\angle \]ABP is equal to |
| A. | \[{{50}^{{}^\circ }}\] |
| B. | \[{{80}^{{}^\circ }}\] |
| C. | \[{{100}^{{}^\circ }}\] |
| D. | \[{{120}^{{}^\circ }}\] |
| Answer» B. \[{{80}^{{}^\circ }}\] | |
| 1599. |
AD is a diameter of a circle and AB is a chord. If AD = 34 cm and AB = 30 cm, find the distance of AB from the centre of the circle. |
| A. | 17 cm |
| B. | 15 cm |
| C. | 4 cm |
| D. | 8 cm |
| Answer» E. | |
| 1600. |
Choose the rational number which does not lie between rational numbers\[-\frac{2}{5}\] and \[-\frac{1}{5}\] |
| A. | \[-\frac{1}{4}\] |
| B. | \[-\frac{3}{10}\] |
| C. | \[\frac{3}{10}\] |
| D. | \[-\frac{7}{20}\] |
| Answer» D. \[-\frac{7}{20}\] | |