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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.
| 1601. |
ABC is an equilateral triangle of side 4 cm. with A, B, C as vertex and radius 2 cm three arcs are drawn. The area of the region within the triangle bounded by the three area is |
| A. | \[\left( 3\sqrt{3}-\frac{\pi }{2} \right)\]\[c{{m}^{2}}\] |
| B. | \[\left( \sqrt{3}-\frac{3\pi }{2} \right)\]\[c{{m}^{2}}\] |
| C. | \[4\left( \sqrt{3}-\frac{\pi }{2} \right)\]\[c{{m}^{2}}\] |
| D. | \[\left( \frac{\pi }{2}-\sqrt{3} \right)\]\[c{{m}^{2}}\] |
| Answer» D. \[\left( \frac{\pi }{2}-\sqrt{3} \right)\]\[c{{m}^{2}}\] | |
| 1602. |
The area of an isosceles triangle is 4 square unit. If the length of the third side is 4 unit, the length of each equal side is |
| A. | 4 units |
| B. | \[2\sqrt{3}\]units |
| C. | \[2\sqrt{2}\]units |
| D. | \[3\sqrt{2}\]units |
| Answer» D. \[3\sqrt{2}\]units | |
| 1603. |
Which of the following points lie on \[x\text{-}\]axis? |
| A. | \[C,\,\,E\]and\[F\] |
| B. | \[D,\,\,E\]and\[B\] |
| C. | \[C,\,\,H\]and\[F\] |
| D. | \[C,\,\,H\]and\[B\] |
| Answer» D. \[C,\,\,H\]and\[B\] | |
| 1604. |
Rational number \[\frac{-18}{5}\] lies between consecutive integers |
| A. | -2 and -3 |
| B. | -3 and -4 |
| C. | - 4 and - 5 |
| D. | - 5 and ? 6 |
| Answer» C. - 4 and - 5 | |
| 1605. |
A housewife saved Rs. 2.5 in buying an item on sale. If she spent Rs.25 for the item, then approximately how much percent she saved in the transaction? |
| A. | 9% |
| B. | 10% |
| C. | 11% |
| D. | 12% |
| E. | None of these |
| Answer» B. 10% | |
| 1606. |
If x% of y is 100 and y% of z is 200, then find the relation x and z. |
| A. | Z = X |
| B. | 2Z = X |
| C. | Z = 2X |
| D. | Z = 3X |
| E. | None of these |
| Answer» D. Z = 3X | |
| 1607. |
The three vertices of parallelogram taken in order are \[\left( -\mathbf{2},\mathbf{0} \right)\left( \mathbf{6},\mathbf{2} \right)\] and \[(\mathbf{4},\mathbf{2})\] respectively. Find the co-ordinates of the fourth vertex, |
| A. | \[\left( 4,\text{ }3 \right)\] |
| B. | \[(-\,3,4)\] |
| C. | \[(3,\,-4)\] |
| D. | \[\left( 4,\text{ }3 \right)\] |
| Answer» E. | |
| 1608. |
In the given fig-lire, what is the length of the median through vertex C. \[\mathbf{A}\left( \mathbf{1}\mathbf{.1} \right)\mathbf{,}\,\,\mathbf{B}(\mathbf{13},-~\mathbf{5})\] and \[\mathbf{C}\,\mathbf{(5,}-\mathbf{8)}\] |
| A. | \[2\sqrt{3}\] |
| B. | \[3\sqrt{2}\] |
| C. | \[5\sqrt{2}\] |
| D. | \[2\sqrt{5}\] |
| Answer» E. | |
| 1609. |
In the given figure below, If PX and PY are tangents to the circle with centre O that \[\angle \mathbf{XPY}=\mathbf{4}{{\mathbf{0}}^{{}^\circ }}\], then \[\angle \mathbf{OXY}\] is equal to |
| A. | \[{{20}^{{}^\circ }}\] |
| B. | \[{{30}^{{}^\circ }}\] |
| C. | \[{{40}^{{}^\circ }}\] |
| D. | \[{{50}^{{}^\circ }}\] |
| Answer» B. \[{{30}^{{}^\circ }}\] | |
| 1610. |
In the given figure, an in-circle DEF is circumscribed by the right angled triangle in which AF = 6 cm and EC = 15 cm. Then the difference between CD and BD is |
| A. | 1 cm. |
| B. | 3 cm. |
| C. | 4 cm. |
| D. | 5 cm. |
| Answer» B. 3 cm. | |
| 1611. |
In \[\Delta \mathbf{PQR}\], the line drawn from the vertex P intersects QR at a point S. If QR = 4.5 cm and SR = 1.5 cm then the ratios of the area of triangle PQS and triangle PSR is |
| A. | 0.16736111111111 |
| B. | 0.12569444444444 |
| C. | 0.12638888888889 |
| D. | 0.084027777777778 |
| Answer» E. | |
| 1612. |
ABCD is a parallelogram. BC is produced to Q such that BC = CQ. Then |
| A. | area \[\left( \Delta BCP \right)\] = area \[\left( \Delta DPQ \right)\] |
| B. | area \[\left( \Delta BCP \right)\] > area \[\left( \Delta DPQ \right)\] |
| C. | area \[\left( \Delta BCP \right)\] < area \[\left( \Delta DPQ \right)\] |
| D. | area \[\left( \Delta BCP \right)\] + area \[\left( \Delta DPQ \right)\] = area \[(\Delta \,BCD)\] |
| Answer» B. area \[\left( \Delta BCP \right)\] > area \[\left( \Delta DPQ \right)\] | |
| 1613. |
ABCD is a parallelogram X and Y are the mid points of sides BC and CD respectively. If the area of \[\Delta \,\mathbf{ABC}\] is 16\[\mathbf{c}{{\mathbf{m}}^{\mathbf{2}}}\], then the area of \[\Delta \mathbf{AXY}\]is |
| A. | 12 \[c{{m}^{2}}\] |
| B. | 8 \[c{{m}^{2}}\] |
| C. | 9 \[c{{m}^{2}}\] |
| D. | 10 \[c{{m}^{2}}\] |
| Answer» B. 8 \[c{{m}^{2}}\] | |
| 1614. |
A certain number of men can complete a job in 40 days. Had there been 5 more men, number of days required to finish the job in 60 days. |
| A. | 10 men |
| B. | 15 men |
| C. | 20 men |
| D. | 25 men |
| Answer» B. 15 men | |
| 1615. |
4 men and 10 women were put on a work. They completed \[\frac{\mathbf{1}}{\mathbf{3}}\]rd of the work in 4 days. After this 2 men and 2 women were increased. They completed \[\frac{\mathbf{2}}{\mathbf{9}}\]th more work in 2 days. If the remaining work is to be completed in 3 days, then how many more women must be increased? |
| A. | 22 |
| B. | 30 |
| C. | 8 |
| D. | 18 |
| Answer» D. 18 | |
| 1616. |
A person purchased an article and sold it at a loss of 10 %. If he had brought it for 20 % less and sold it for Rs. 55 more, he would have made a profit of 40 %. The cost price of the article is _______ |
| A. | Rs. 285 |
| B. | Rs. 240 |
| C. | Rs. 225 |
| D. | Rs. 250 |
| Answer» E. | |
| 1617. |
21 binders can bind 1400 books in 20 days. How many binders will be required to bind 880 books in 22 days? |
| A. | 12 |
| B. | 9 |
| C. | 49 |
| D. | 28 |
| Answer» C. 49 | |
| 1618. |
12 men alone can complete a work in 6 days, whereas 10 men and 21 women together take 3 days to complete the same piece of work. In how many days can 12 women alone complete the piece of work? |
| A. | 9 |
| B. | 10 |
| C. | 11 |
| D. | 12 |
| Answer» B. 10 | |
| 1619. |
Directions: Read the following information carefully and answer the questions given below:(i) 'A \[\times \] B' means 'A is father of B'(ii) 'A + B? means 'A is daughter of B'(iii) 'A - B? means' A is mother of B'(iv) 'A \[\div \] B' means 'A is brother of B'If '\[\,\,\,\,\mathbf{P}-\mathbf{R}~\mathbf{\div Q}\times \mathbf{T}\]'. How is P related to T? |
| A. | Grandfather |
| B. | Sister |
| C. | Mother-in-law |
| D. | Grandmother |
| Answer» E. | |
| 1620. |
Directions: In the following number series which of the numbers will come in place of missing place? 6 7 17 65 323? |
| A. | 2415 |
| B. | 1717 |
| C. | 1937 |
| D. | 2015 |
| Answer» D. 2015 | |
| 1621. |
Which number indicates married graduates who are doctors? |
| A. | 2 |
| B. | 3 |
| C. | 5 |
| D. | 7 |
| Answer» C. 5 | |
| 1622. |
Directions: In each of the questions below four statements are given followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if there seem to be some variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements: All robots are machines. Some machines are computers. Some computers are tablets. All tablets are ipods. Conclusions: I. Some tablets are machines. II. Some ipods are computers. III. Some computers are robots. IV. Some machines are robots. |
| A. | Only II follows |
| B. | Only IV follows |
| C. | Only II and III follows |
| D. | Only II and IV follows |
| Answer» E. | |
| 1623. |
Directions: In the following questions, the symbols @, ©, , % and # are used with the following meanings illustrated.'p@q' means 'p is neither smaller than nor equal to q'. 'p#q' means 'p is not smaller than q'.'p©q' means 'p is not greater than q'.'p%q' means 'p is neither greater than nor equal to q'.'pq' means 'p is neither smaller than nor greater than q'In each of the following questions assuming the given statements to be true, find out which of the three conclusions I, II and III given below is/are definitely true.Statements: M%T, T#J, J@KConclusions: I. K%T II. M%J III. K©M |
| A. | Only III |
| B. | Only II |
| C. | Only I |
| D. | Only I and II |
| Answer» D. Only I and II | |
| 1624. |
In the given figure, AD is the bisector of \[\angle A\]and AB = AC. Then \[\Delta ACD\] and \[\Delta ABD\] are congruent by which criterion? |
| A. | AAA |
| B. | SAS |
| C. | SSA |
| D. | Both [b] and [c] |
| Answer» C. SSA | |
| 1625. |
One of the angles of a triangle is\[{{75}^{o}}\]. If the difference of the other two angles is\[{{35}^{o}}\], what is the measure the largest angle of the triangle? |
| A. | \[{{80}^{o}}\] |
| B. | \[{{75}^{o}}\] |
| C. | \[{{100}^{o}}\] |
| D. | \[{{100}^{o}}\] |
| Answer» C. \[{{100}^{o}}\] | |
| 1626. |
In a right triangle, the two acute angles are in the ratio\[4:5\]. Find them respectively. |
| A. | \[{{50}^{o}},\,\,{{40}^{o}}\] |
| B. | \[{{40}^{o}},\,\,{{50}^{o}}\] |
| C. | \[{{45}^{o}},\,\,{{55}^{o}}\] |
| D. | \[{{30}^{o}},\,\,{{60}^{o}}\] |
| Answer» C. \[{{45}^{o}},\,\,{{55}^{o}}\] | |
| 1627. |
In\[\Delta ABD\], if\[\angle B=\angle C\], which of the following is true? |
| A. | \[BC=AB\] |
| B. | \[AC=BC\] |
| C. | \[AB=AC\] |
| D. | \[AB>AC\] |
| Answer» D. \[AB>AC\] | |
| 1628. |
Match the following.Column - IColumn - II(p) \[\Delta AMB\cong \Delta AMC\] by(i) SAS Rule(q) \[\Delta AOB\cong \Delta POQ\] by(ii)RHS Rule(r) \[\Delta AOP\cong \Delta BOQ\] by(iii) SSS Rule(s) \[\Delta AMB\cong \Delta AMC\]by(iv) AAS Rule |
| A. | PQRS2413 |
| B. | PQRS4213 |
| C. | PQRS1243 |
| D. | PQRS2134 |
| Answer» B. PQRS4213 | |
| 1629. |
In\[\Delta ABC\], if\[AB=BC\], which of the following statements is necessarily true? |
| A. | \[\angle B=\angle C\] |
| B. | \[\angle A=\angle C\] |
| C. | \[\angle A=\angle B\] |
| D. | \[\angle A<\angle C\] |
| Answer» C. \[\angle A=\angle B\] | |
| 1630. |
Fill in the blanks.(i) In right triangles \[\Delta ABC\] and \[\Delta DEF,\] if hypotenuse AB = EF and side AC = DE, then \[\Delta ABC=\]P.(ii) If \[\Delta ABC\] is obtuse angled at point B, then the longest side is Q.(iii) Difference of any two sides of a triangle is R than the third side. |
| A. | PQRAEFDBCgreater |
| B. | PQRAEFDACless |
| C. | PQRADEFABless |
| D. | PQRADEFACgreater |
| Answer» C. PQRADEFABless | |
| 1631. |
In the given figure, PQR is an equilateral triangle and QRST is a square. Then\[\angle PSR=\_\_\_\_.\] |
| A. | \[{{30}^{o}}\] |
| B. | \[{{15}^{o}}\] |
| C. | \[{{90}^{o}}\] |
| D. | \[{{60}^{o}}\] |
| Answer» C. \[{{90}^{o}}\] | |
| 1632. |
In the given figure, \[\angle Q |
| A. | \[PS<QR\] |
| B. | \[PS>QR\] |
| C. | \[QR=PS\] |
| D. | Either (b) or (c). |
| Answer» B. \[PS>QR\] | |
| 1633. |
In the given figure below, 0 and C are respectively the orthocentre and circum centre of an acute angled triangle PQR. The points P and 0 are joined and produced to meet the side QR at S. If \[\angle \mathbf{PQS}=\mathbf{6}{{\mathbf{0}}^{{}^\circ }}\]and \[\angle \mathbf{QCR}=\mathbf{13}{{\mathbf{0}}^{{}^\circ }}\], then \[\angle \mathbf{RPS}=\] |
| A. | \[{{30}^{{}^\circ }}\] |
| B. | \[{{35}^{{}^\circ }}\] |
| C. | \[{{100}^{{}^\circ }}\] |
| D. | \[{{60}^{{}^\circ }}\] |
| Answer» C. \[{{100}^{{}^\circ }}\] | |
| 1634. |
In the (not drawn to scale) given figure below, if \[\mathbf{AD}=\mathbf{DC}=\mathbf{BC}\] and \[\angle \mathbf{BCE}=\mathbf{8}{{\mathbf{4}}^{{}^\circ }}\]then \[\angle \mathbf{DBC}\]is: |
| A. | \[{{64}^{{}^\circ }}\] |
| B. | \[{{84}^{{}^\circ }}\] |
| C. | \[{{56}^{{}^\circ }}\] |
| D. | \[{{96}^{{}^\circ }}\] |
| Answer» D. \[{{96}^{{}^\circ }}\] | |
| 1635. |
In the given figure below, \[\Delta \mathbf{ABC}\] is an isosceles triangle with \[\mathbf{AB}=\mathbf{AC}=\mathbf{17}\]cm and altitude from A to BC is 15 cm. The length of side BC is: |
| A. | 9 cm |
| B. | 12 cm |
| C. | 16 cm |
| D. | 20 cm |
| Answer» D. 20 cm | |
| 1636. |
In the given figure below. \[\Delta \mathbf{PQR}\] is an Isosceles triangle inscribed in a circle. If \[\mathbf{PQ=PR=12}\sqrt{\mathbf{5}}\]cm \[\mathbf{QR=24}\]cm then the radius of circle is |
| A. | 10 cm |
| B. | 15 cm |
| C. | 12 cm |
| D. | 14 cm |
| Answer» C. 12 cm | |
| 1637. |
In the given figure below, ABC is ail isosceles triangle with. The side BA Is produced to D such that \[\mathbf{AB}=\mathbf{AD}\]. If \[\angle ABC={{35}^{{}^\circ }}\], then \[\angle \mathbf{BCD}\] is equal to |
| A. | \[{{45}^{{}^\circ }}\] |
| B. | \[{{90}^{{}^\circ }}\] |
| C. | \[{{30}^{{}^\circ }}\] |
| D. | \[{{60}^{{}^\circ }}\] |
| Answer» C. \[{{30}^{{}^\circ }}\] | |
| 1638. |
In the figure given below, an isosceles triangle ABC is right angled at B. D is a point inside the triangle ABC. P and Q are the point of the perpendiculars drawn from D on the side AB and AC respectively of \[\Delta \mathbf{ABC}\]. If \[AP=x\] cm, \[\mathbf{AQ=y}\] cm and \[\angle \mathbf{BAD}=\mathbf{1}{{\mathbf{5}}^{{}^\circ }}\]. Then, sin\[{{75}^{{}^\circ }}=\]? |
| A. | \[\frac{2y}{\sqrt{3x}}\] |
| B. | \[\frac{x}{2y}\] |
| C. | \[\frac{\sqrt{3x}}{2y}\] |
| D. | \[\frac{2x}{\sqrt{3}y}\] |
| Answer» D. \[\frac{2x}{\sqrt{3}y}\] | |
| 1639. |
Using the following figure\[\angle \mathbf{BCE}=\angle \mathbf{DEA}\], then determine x. |
| A. | \[\frac{ac}{b+c}\] |
| B. | \[\frac{ac}{b-c}\] |
| C. | \[\frac{b+c}{ca}\] |
| D. | \[\frac{2ac}{b+c}\] |
| Answer» B. \[\frac{ac}{b-c}\] | |
| 1640. |
In the adjoining figure given, \[\angle \mathbf{PQR}=\mathbf{9}{{\mathbf{0}}^{{}^\circ }}\]and QL is a median, \[\mathbf{PQ}=\mathbf{12}\]cm, and \[\mathbf{QR}=\mathbf{14}\]cm. Then, QL is equal to |
| A. | 10cm |
| B. | 5.5cm |
| C. | 6 cm |
| D. | 6.5 cm |
| Answer» B. 5.5cm | |
| 1641. |
If each side of triangle ABC is of length 4 and if AD is 1 and \[\mathbf{ED}\bot \mathbf{AB}\]. The area of region BCED is equal to |
| A. | \[8\sqrt{3}\] |
| B. | \[4\sqrt{3}\] |
| C. | \[4.5\sqrt{3}\] |
| D. | \[3.5\sqrt{3}\] |
| Answer» E. | |
| 1642. |
If AD is the internal angular bisector of \[\Delta \mathbf{ABC}\] with \[\mathbf{AB}=\mathbf{4}\]cm and \[\mathbf{AC}=\mathbf{1}\]cm, then what is BD : BC ? |
| A. | 0.04375 |
| B. | 0.0444444444444444 |
| C. | 0.211111111111111 |
| D. | 0.170138888888889 |
| Answer» E. | |
| 1643. |
Let ABC is triangle right angled at B. If AB = 12 cm and BC = 9 cm then what is the length of the circumradius of the \[\Delta \mathbf{ABC}\]? |
| A. | 10 cm |
| B. | 7 cm |
| C. | 6 cm |
| D. | 7.5 cm |
| Answer» E. | |
| 1644. |
in the given figure below two medians AD and BE of \[\Delta ABC\] intersect at G at right angles. If \[AD=18\]cm and \[\mathbf{BE=12}\]cm, then the length of BD (in cm) is |
| A. | 10 |
| B. | 6 |
| C. | 5 |
| D. | 3 |
| Answer» B. 6 | |
| 1645. |
In the given figure below, Let O be the orthocentre of the triangle ABC., If \[\angle \mathbf{BOC}=\mathbf{14}{{\mathbf{0}}^{{}^\circ }}\], Then \[\angle \mathbf{BAC}\] is |
| A. | \[{{40}^{{}^\circ }}\] |
| B. | \[{{50}^{{}^\circ }}\] |
| C. | \[{{90}^{{}^\circ }}\] |
| D. | \[{{120}^{{}^\circ }}\] |
| Answer» B. \[{{50}^{{}^\circ }}\] | |
| 1646. |
In the given figure below, ABC is a triangle, PQ is line segment intersecting AB in P and AC in Q and \[\mathbf{PQ}\parallel \mathbf{BC}\]. The ratio of AP: BP = 2:5 and length of PQ is 18 cm. The length of BC is |
| A. | 36 cm. |
| B. | 63 cm. |
| C. | 48 cm. |
| D. | 24 cm. |
| Answer» C. 48 cm. | |
| 1647. |
In the given figure below, G is the centroid of\[\Delta \mathbf{ABC}\]. If \[\mathbf{AG}=\mathbf{BC}\], then measure of \[\angle \mathbf{BGC}\] is |
| A. | \[{{45}^{{}^\circ }}\] |
| B. | \[{{60}^{{}^\circ }}\] |
| C. | \[{{90}^{{}^\circ }}\] |
| D. | \[{{120}^{{}^\circ }}\] |
| Answer» D. \[{{120}^{{}^\circ }}\] | |
| 1648. |
In \[\Delta \mathbf{ABC}\], \[\mathbf{AB}=\mathbf{a}-\mathbf{b},\mathbf{AC}=\sqrt{{{\mathbf{a}}^{\mathbf{2}}}+{{\mathbf{b}}^{\mathbf{2}}}}\]and \[\mathbf{BC}=\sqrt{2\mathbf{ab}}\], then find single B. |
| A. | \[{{60}^{{}^\circ }}\] |
| B. | \[{{30}^{{}^\circ }}\] |
| C. | \[{{90}^{{}^\circ }}\] |
| D. | \[{{45}^{{}^\circ }}\] |
| Answer» D. \[{{45}^{{}^\circ }}\] | |
| 1649. |
In \[\Delta \mathbf{ABC},\angle \mathbf{B}=\mathbf{6}{{\mathbf{0}}^{{}^\circ }}\], and \[\angle \mathbf{C}=\mathbf{5}{{\mathbf{0}}^{{}^\circ }}\], AD and AE are respectively the bisector of \[\angle \mathbf{A}\] and perpendicular on BC. The measure of \[\angle \mathbf{EAD}\] is: |
| A. | \[{{11}^{{}^\circ }}\] |
| B. | \[{{5}^{{}^\circ }}\] |
| C. | \[{{12}^{{}^\circ }}\] |
| D. | \[{{9}^{{}^\circ }}\] |
| Answer» C. \[{{12}^{{}^\circ }}\] | |
| 1650. |
If in a triangle, from the midpoint of a side, draw perpendicular to the other side in such a way that length of perpendiculars are equal then: |
| A. | Two sides on which perpendicular is dropped are unequal |
| B. | Two sides on which perpendicular is dropped are equal |
| C. | Perpendiculars are parallel to each other |
| D. | The point of intersection of these perpendiculars is the centroid |
| Answer» C. Perpendiculars are parallel to each other | |