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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.
| 1401. |
The total number of prime numbers between 120 and 140 is |
| A. | 7 |
| B. | 6 |
| C. | 5 |
| D. | 4 |
| Answer» E. | |
| 1402. |
In the given figure, O is the centre of the circle of radius 5 cm. AB and AC are two chords, such that AB = AC = 6 cm. If OA meets BC at M, find OM, |
| A. | 2 cm |
| B. | 3 cm |
| C. | 1.4 cm |
| D. | 3.6 cm |
| Answer» D. 3.6 cm | |
| 1403. |
In the given figure, ABDC is a cyclic quadrilateral and AB = AC. If \[\angle ACB={{70}^{o}},\]find \[\angle BDC.\] |
| A. | \[100{}^\circ \] |
| B. | \[70{}^\circ \] |
| C. | \[140{}^\circ \] |
| D. | \[40{}^\circ \] |
| Answer» D. \[40{}^\circ \] | |
| 1404. |
Which one among the following statements is/ are correct? |
| A. | Point \[(-\,5, 0)\]lies in the II quadrant. |
| B. | A point lies on x-axis at a distance of 5 units from y-axis, Its coordinate can be \[(-\,5, 0)\] or \[(5, 0)\] |
| C. | A point lies on y-axis lies on y-axis at a distance of 3 units from the x-axis. Its coordinate are \[(3, 0)\] |
| D. | All the above |
| E. | None of these |
| Answer» C. A point lies on y-axis lies on y-axis at a distance of 3 units from the x-axis. Its coordinate are \[(3, 0)\] | |
| 1405. |
Directions: The temperature of a liquid can be measured in kelvin units as\[\mathbf{x{}^\circ K}\] or in Fahrenheit units Units as\[\mathbf{y{}^\circ F}\], the relation between the two system of measurement of temperature is given by the linear equation\[\mathbf{y-32=}\frac{\mathbf{9}}{\mathbf{2}}\mathbf{(x-273)}\]. Based on this information, answer the following questions: If at a value, the temperature in Fahrenheit equals to temperature in kelvin then this value is ________ |
| A. | 374.25 |
| B. | 574.25 |
| C. | 385 |
| D. | 485 |
| E. | None of these |
| Answer» C. 385 | |
| 1406. |
In the given figure, ABCD is a quadrilateral with BD = 20 cm. If \[AL\bot BD\] and \[CM\bot BD\]such that AL= 10 cm and \[CM=5\,cm.\] find the area of quadrilateral ABCD. |
| A. | \[~150\text{ }c{{m}^{2}}\] |
| B. | \[~180\text{ }c{{m}^{2}}\] |
| C. | \[~100\,c{{m}^{2}}\] |
| D. | \[~140\,c{{m}^{2}}\] |
| Answer» B. \[~180\text{ }c{{m}^{2}}\] | |
| 1407. |
The area of a triangle is\[16\text{ }c{{m}^{2}}.\] If its base is 8 cm, what is its corresponding altitude? |
| A. | 4 cm |
| B. | 8 cm |
| C. | 18 cm |
| D. | 12 cm |
| Answer» B. 8 cm | |
| 1408. |
In the given figure, angles subtended by chords AC and BC at the centre O of the circle are \[{{55}^{o}}\] and \[{{155}^{o}}\]respectively. Find\[\angle ACB.\] |
| A. | \[{{150}^{o}}\] |
| B. | \[{{75}^{o}}\] |
| C. | \[{{62}^{o}}\] |
| D. | \[{{60}^{o}}\] |
| Answer» C. \[{{62}^{o}}\] | |
| 1409. |
The perpendicular distance of a point from the \[x\text{-}\]axis is \[4\] units and its perpendicular distance from the \[y\text{-}\]axis is 5 units. What are the co-ordinates of such a point if it lies in the II Quadrant? |
| A. | \[(-4,\,\,5)\] |
| B. | \[(-2,\,\,-3)\] |
| C. | \[(3,\,\,-2)\] |
| D. | \[(-3,\,\,2)\] |
| Answer» C. \[(3,\,\,-2)\] | |
| 1410. |
The correct least number when divided by 12, 16 and 18 leaves in each case a remainder 5, is |
| A. | 149 |
| B. | 293 |
| C. | 337 |
| D. | 481 |
| Answer» B. 293 | |
| 1411. |
Which figure is formed by joining points \[O(0,\,\,0),\]\[B(16,\,\,0)\] and\[C(16,\,\,12)\] on a graph paper? |
| A. | A triangle |
| B. | A square |
| C. | A right angled triangle |
| D. | A line |
| Answer» D. A line | |
| 1412. |
In the diagram, b : a == 2 : 7. What is a - b? |
| A. | 20 |
| B. | 40 |
| C. | 100 |
| D. | 140 |
| Answer» D. 140 | |
| 1413. |
\[1+\frac{1}{1+\frac{1}{1+\frac{1}{3}}}\]is equal to |
| A. | \[\frac{1}{3}\] |
| B. | 1 |
| C. | \[\frac{11}{7}\] |
| D. | \[1\frac{1}{3}\] |
| Answer» D. \[1\frac{1}{3}\] | |
| 1414. |
If a triangle and a square are on the same base and between the same parallels, What is the ratio of their areas in order? |
| A. | 1 : 3 |
| B. | 1 : 2 |
| C. | 3 : 1 |
| D. | 0.044444444444444 |
| Answer» C. 3 : 1 | |
| 1415. |
ABCD is a parallelogram, \[Al\bot CD\]and \[AM\bot BC.\] If AB = 12 cm, AD = 8 cm and AL = 6 cm, find the measure of AM. |
| A. | 9 cm |
| B. | 10 cm |
| C. | 12 cm |
| D. | 15 cm |
| Answer» B. 10 cm | |
| 1416. |
In the given figure, AB || DC. Identify the triangles that have equal areas. |
| A. | \[\Delta ADX,\Delta ACX\] |
| B. | \[\Delta ADX,\Delta XCB\] |
| C. | \[\Delta ACX,\Delta XDB\] |
| D. | All the above |
| Answer» B. \[\Delta ADX,\Delta XCB\] | |
| 1417. |
One of the factors of \[(225{{x}^{2}} - 1)\text{ }+\text{ }{{(1\text{ }+ 15x)}^{2}}\] is |
| A. | \[(15x-1)\] |
| B. | \[(5x+1)\] |
| C. | \[(5x-1)\] |
| D. | 30x |
| E. | None of these |
| Answer» E. None of these | |
| 1418. |
The ratio of the bases of two triangles is a: b. If the ratio of their corresponding altitudes is c: d, find the ratio of their areas (in the same order). |
| A. | ac: bd |
| B. | ad : be |
| C. | bd: ac |
| D. | be: ad |
| Answer» B. ad : be | |
| 1419. |
If \[\sqrt{3}:(1+\sqrt{2})::\sqrt{6}:x\], then x is equal to |
| A. | \[\sqrt{3}+1\] |
| B. | \[\sqrt{2}-1\] |
| C. | \[\sqrt{2}-2\] |
| D. | \[\sqrt{2}+2\] |
| Answer» E. | |
| 1420. |
Study the given graph. What are the co-ordinates of \[A,\,\,B,\,\,C\] and\[D\]? |
| A. | \[A(5,\,\,3),\,B(0,\,\,5),\,\,C(-2,\,\,4),\,\,D(0,\,\,2)\] |
| B. | \[A(0,\,\,5),\,\,B(3,\,\,5),\,\,C(4,\,\,-2),\,\,D(0,\,\,-2)\] |
| C. | \[A(5,\,\,0),\,\,B(5,\,\,3),\,\,C(-2,\,\,4),\,\,D(-2,\,\,0)\] |
| D. | \[A(5,\,\,0),\,\,B(5,\,\,3),\,\,C(-2,\,\,4),\,\,D(0,\,\,-2)\] |
| Answer» E. | |
| 1421. |
If P and Q are two polynomials of degree 5 and 4 respectively, then find the degree of\[\mathbf{P-Q}\]. |
| A. | 1 |
| B. | 5 |
| C. | 4 |
| D. | Cannot be determined |
| E. | None of these |
| Answer» C. 4 | |
| 1422. |
Fill in the blanks. [a] P chords subtend equal angles at the centre. [b] The arc of a circle subtending a right angle at any point to the circle in the alternating segment is a Q [c] The sum of either pair of the opposite angles of a cyclic quadrilateral is R |
| A. | P Q R Unequal Chord \[{{360}^{o}}\] |
| B. | P Q R Equal Semicircle \[{{180}^{o}}\] |
| C. | P Q R Equal Chord \[{{360}^{o}}\] |
| D. | P Q R Unequal Semicircle \[{{180}^{o}}\] |
| Answer» C. P Q R Equal Chord \[{{360}^{o}}\] | |
| 1423. |
A circle with radius 2 units is intersected by a line at points R and T. Find the maximum possible distance between R and T. |
| A. | 1 unit |
| B. | \[2\pi \,\text{units}\] |
| C. | \[4\pi \,\text{units}\] |
| D. | 4 units |
| Answer» E. | |
| 1424. |
The point on the graph of the equation \[\mathbf{3x+4y=15}\] whose abscissa is \[\frac{\mathbf{3}}{\mathbf{4}}\] times its ordinate, is |
| A. | \[\left( \frac{12}{5},\frac{9}{5} \right)\] |
| B. | \[\left( \frac{9}{5},\frac{12}{5} \right)\] |
| C. | \[\left( \frac{12}{5},\frac{9}{20} \right)\] |
| D. | \[\left( \frac{9}{20},\frac{15}{5} \right)\] |
| E. | None of these |
| Answer» C. \[\left( \frac{12}{5},\frac{9}{20} \right)\] | |
| 1425. |
The product of \[4\sqrt{6}\] and \[3\sqrt{24}\] is |
| A. | 124 |
| B. | 134 |
| C. | 144 |
| D. | 154 |
| Answer» D. 154 | |
| 1426. |
The least number which when divided by 2, 3,4,5 and 6 leaves the remainder 1 m each case If the same number is divided by 7 it leaves n remainder. The number is |
| A. | 231 |
| B. | 301 |
| C. | 371 |
| D. | 441 |
| Answer» C. 371 | |
| 1427. |
Direction: Observe the given coordinate plane and answer the following questions. Which point is represented by the ordered pair\[(-3,\,\,-1)\]? |
| A. | \[P\] |
| B. | \[Q\] |
| C. | \[R\] |
| D. | \[S\] |
| Answer» E. | |
| 1428. |
The smallest whole number is |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | None of these |
| Answer» B. 1 | |
| 1429. |
For which of the following conditions the construction of a triangle is NOT possible? |
| A. | If two sides and one angle is given. |
| B. | If two sides and included angle between them is given. |
| C. | If three sides are given. |
| D. | If two angles and side between them is given. |
| Answer» B. If two sides and included angle between them is given. | |
| 1430. |
If O is the centre of the given circle with \[\angle ACB={{60}^{o}},\]find the value of \[x.\] |
| A. | \[120{}^\circ \] |
| B. | \[100{}^\circ \] |
| C. | \[240{}^\circ \] |
| D. | \[180{}^\circ \] |
| Answer» D. \[180{}^\circ \] | |
| 1431. |
In the given figure, find the value of y. |
| A. | \[35{}^\circ \] |
| B. | \[{{60}^{o}}+{{x}^{o}}\] |
| C. | \[{{60}^{o}}-{{x}^{o}}\] |
| D. | \[120{}^\circ \] |
| Answer» D. \[120{}^\circ \] | |
| 1432. |
Area of a parallelogram ABCD is \[432\,c{{m}^{2}}.\] If BC // AD and the distance between BC and AD is 20 cm, what is the measure of the side BC of parallelogram ABCD? |
| A. | 43.2cm |
| B. | 10.8cm |
| C. | 18.2cm |
| D. | 21.6cm |
| Answer» E. | |
| 1433. |
If 5 workers can build a fence in 65 days, how long would it take 13 workers to build the same fence? |
| A. | 15 days |
| B. | 20 days |
| C. | 25 days |
| D. | 35 days |
| Answer» D. 35 days | |
| 1434. |
How many rational numbers exist between any two distinct rational numbers? |
| A. | 2 |
| B. | 3 |
| C. | 11 |
| D. | Infinite number of rational numbers |
| Answer» E. | |
| 1435. |
In the given figure, AB = CD = 5 cm OM = 3 cm. Then ON is ____. |
| A. | 4 cm |
| B. | 6 cm |
| C. | 1.5 cm |
| D. | 3 cm |
| Answer» E. | |
| 1436. |
If \[{{\mathbf{x}}^{\mathbf{4}}}\mathbf{-}{{\mathbf{x}}^{\mathbf{3}}}\mathbf{+a}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+x+b}\]is exactly divisible by \[\mathbf{(x+2)}\] as well as \[\mathbf{(x-2)}\] then ______ |
| A. | \[a+b=1\] |
| B. | \[a+2b=5\] |
| C. | \[a=b+1\] |
| D. | All the above |
| E. | None of these |
| Answer» C. \[a=b+1\] | |
| 1437. |
If \[p={{x}^{\frac{1}{3}}}+{{x}^{\frac{1}{3}}}\] , then \[{{p}^{3}}-3p\] is equal to |
| A. | 3 |
| B. | \[\frac{1}{2}(x+{{x}^{-1}})\] |
| C. | \[x+{{x}^{-1}}\] |
| D. | \[2(x+{{x}^{-1}})\] |
| Answer» D. \[2(x+{{x}^{-1}})\] | |
| 1438. |
A chord of a circle is 12 cm in length and its distance from the centre is 8 cm. Find the length of the chord of the same circle which is at a distance of 6 cm from the centre. |
| A. | 30 cm |
| B. | 24 cm |
| C. | 16 cm |
| D. | 18 cm |
| Answer» D. 18 cm | |
| 1439. |
In the given figure below. PQ is a diameter of the circle whose centre is at O. If \[\angle \mathbf{ROS}=\mathbf{4}{{\mathbf{6}}^{{}^\circ }}\]and OR is a bisector of \[\angle \mathbf{PQR}\], then \[\angle \mathbf{RTS}\] is equal to, |
| A. | \[{{46}^{{}^\circ }}\] |
| B. | \[{{64}^{{}^\circ }}\] |
| C. | \[{{69}^{{}^\circ }}\] |
| D. | \[{{67}^{{}^\circ }}\] |
| Answer» E. | |
| 1440. |
Let ABC be a triangle in which BC = 5 cm, \[\angle B={{60}^{o}}\]and AC + AB = 7.5 cm. Given below are the steps of constructing the triangle ABC. Which of the following steps is INCORRECT? Step I: Draw a line segment BC of length 5 cm. Step II: Draw an \[\angle XBC={{60}^{o}}\]at point B of line segment BC. Step III: Cut off PB = 3.5 cm on the ray BX. Step IV: Join PC. Step V: Draw\[\bot \]bisector of BC which intersect ray BX at A. Join AC. Step VI: ABC is the required triangle. |
| A. | Step II only |
| B. | Step III only |
| C. | Step II and V |
| D. | Step III and V |
| Answer» E. | |
| 1441. |
In the given figure, O is the centre of the circle. If \[\angle POQ={{110}^{o}}\]and\[\angle POR={{120}^{o}},\] find\[\angle QPR.\] |
| A. | \[65{}^\circ \] |
| B. | \[55{}^\circ \] |
| C. | \[50{}^\circ \] |
| D. | \[60{}^\circ \] |
| Answer» B. \[55{}^\circ \] | |
| 1442. |
In which of the following quadrants ordinate of a point negative? |
| A. | III and IV quadrants |
| B. | III quadrant only |
| C. | II and III quadrants |
| D. | IV quadrant only |
| Answer» B. III quadrant only | |
| 1443. |
In the given figure, PQRS is a cyclic quadrilateral in which\[PS=RS,\angle SQR=x\]and\[\angle PQS={{60}^{o}}.\]The value of \[x\]is ____. |
| A. | \[{{30}^{o}}\] |
| B. | \[{{60}^{o}}\] |
| C. | \[{{75}^{o}}\] |
| D. | \[{{80}^{o}}\] |
| Answer» C. \[{{75}^{o}}\] | |
| 1444. |
What is the ordinate of any point on the \[X\text{-}\]axis? |
| A. | \[0\] |
| B. | \[1\] |
| C. | \[2\] |
| D. | \[-1\] |
| Answer» B. \[1\] | |
| 1445. |
From a point within an equilateral triangle, perpendicular are drawn to its sides. The lengths of these perpendicular are 6 m, 7m and 8m. Find the area of the triangle |
| A. | 160 sq. m |
| B. | \[147\sqrt{3}\]sq. m |
| C. | \[210\sqrt{3}\]sq. m. |
| D. | \[27\sqrt{3}\]sq. nz |
| Answer» C. \[210\sqrt{3}\]sq. m. | |
| 1446. |
In the given figure, O is the centre of a circle having radius 5 cm. If \[OM\bot PQ\]and OM = 3 cm, find the length of chord PQ. |
| A. | 5 cm |
| B. | 8 cm |
| C. | 10 cm |
| D. | 6 cm |
| Answer» C. 10 cm | |
| 1447. |
ABCD is a trapezium whose area is \[{{a}^{2}}-{{b}^{2}}.\]lf \[AB=a,\,DC=b\]and\[\overline{AB}||\overline{CD},\]what is the distance between the parallel sides? |
| A. | (a - b) |
| B. | (a + b) |
| C. | 2(a - b) |
| D. | 2(a + b) |
| Answer» D. 2(a + b) | |
| 1448. |
Direction: Observe the given coordinate plane and answer the following questions. In which quadrant is the point\[(3,\,\,3)\]? |
| A. | \[{{Q}_{1}}\] |
| B. | \[{{Q}_{2}}\] |
| C. | \[{{Q}_{3}}\] |
| D. | \[{{Q}_{4}}\] |
| Answer» B. \[{{Q}_{2}}\] | |
| 1449. |
The decimal equivalent of \[\frac{5}{16}\]is |
| A. | 0.3 |
| B. | 0.31 |
| C. | 0.312 |
| D. | 0.3125 |
| Answer» E. | |
| 1450. |
The area of a triangle with vertices \[\mathbf{A}\left( \mathbf{0},\mathbf{6} \right),O\left( \mathbf{0},\mathbf{0} \right)\]and \[\mathbf{B}\left( \mathbf{7},\mathbf{0} \right)\]is: |
| A. | 8 sq. units |
| B. | 13 sq. units |
| C. | 21 sq. units |
| D. | 40 sq. units |
| Answer» D. 40 sq. units | |