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.
| 1101. |
Angle ABC in the following figure is a/an |
| A. | acute angle |
| B. | obtuse angle |
| C. | reflex angle |
| D. | straight angle |
| Answer» D. straight angle | |
| 1102. |
Find the value of x in the given figure. |
| A. | \[30{}^\circ \] |
| B. | \[35{}^\circ \] |
| C. | \[40{}^\circ \] |
| D. | \[45{}^\circ \] |
| Answer» B. \[35{}^\circ \] | |
| 1103. |
In the given figure, \[AB|\,\,|\,CD\] , then \[\angle \text{EFD}\] is geometry equal to |
| A. | \[20{}^\circ \] |
| B. | \[25{}^\circ \] |
| C. | \[30{}^\circ \] |
| D. | \[35{}^\circ \] |
| Answer» D. \[35{}^\circ \] | |
| 1104. |
Lines PQ and RS intersect at O. If \[\angle POS=2\,\,\angle SOQ\] ,then the four angles at O are |
| A. | \[30{}^\circ ,\text{ }30{}^\circ ,\text{ }120{}^\circ ,\text{ }180{}^\circ \] |
| B. | \[60{}^\circ ,\text{ }60{}^\circ ,\text{ }120{}^\circ ,\text{ }120{}^\circ \] |
| C. | \[60{}^\circ ,\text{ }90{}^\circ ,\text{ }90{}^\circ ,\text{ }120{}^\circ \] |
| D. | \[30{}^\circ ,\text{ }60{}^\circ ,\text{ }90{}^\circ ,\text{ }180{}^\circ \] |
| Answer» C. \[60{}^\circ ,\text{ }90{}^\circ ,\text{ }90{}^\circ ,\text{ }120{}^\circ \] | |
| 1105. |
If X is a point on the line AB, Y and Z are points outside such that \[\angle AXY=45{}^\circ \] and \[\angle YXZ=150{}^\circ \], then \[\angle AXZ\] is equal to |
| A. | \[120{}^\circ \] |
| B. | \[135{}^\circ \] |
| C. | \[150{}^\circ \] |
| D. | \[165{}^\circ \] |
| Answer» E. | |
| 1106. |
If one of the interior angles of a regular polygon is equal to 5/6 times of one of the interior angles of a regular pentagon, then the number of sides of the polygon is: |
| A. | 3 |
| B. | 4 |
| C. | 6 |
| D. | 8 |
| E. | None of these |
| Answer» C. 6 | |
| 1107. |
Given a plane E and a line I contained in E, so that two half planes \[{{H}_{1}}\] and \[{{H}_{2}}\] are formed, then line \[l \] lies |
| A. | in \[{{H}_{1}}\] only |
| B. | in \[{{H}_{2}}\] only |
| C. | in both \[{{H}_{1}}\] and \[{{H}_{2}}\] |
| D. | neither in \[{{H}_{1}}\] nor in \[{{H}_{2}}\] |
| Answer» E. | |
| 1108. |
The measurement of each angle of a polygon is \[160{}^\circ \]. The number of its sides is |
| A. | 15 |
| B. | 18 |
| C. | 20 |
| D. | 30 |
| Answer» C. 20 | |
| 1109. |
The value of \[x\] in the following Figure is |
| A. | \[30{}^\circ \] |
| B. | \[45{}^\circ \] |
| C. | \[60{}^\circ \] |
| D. | none of these |
| Answer» B. \[45{}^\circ \] | |
| 1110. |
What value of \[x\] will make\[CD|\,|\,EF\], and \[AB|\,|\,CD\]? |
| A. | \[150{}^\circ \] |
| B. | \[145{}^\circ \] |
| C. | \[140{}^\circ \] |
| D. | \[135{}^\circ \] |
| Answer» C. \[140{}^\circ \] | |
| 1111. |
What value of x will make AOB a straight line? |
| A. | \[30{}^\circ \] |
| B. | \[50{}^\circ \] |
| C. | \[49{}^\circ \] |
| D. | none of these |
| Answer» C. \[49{}^\circ \] | |
| 1112. |
A and B are two fixed points in a plane. If P is a moving point in the plane such that PA =PB, then the |
| A. | locus of P is the line AB itself. |
| B. | locus of P is a line parallel to AB. |
| C. | point P always makes equilateral triangles with A, B. |
| D. | triangle PAB is isosceles for all positions of P. |
| Answer» E. | |
| 1113. |
Two circular wheels are rolling on a horizontal road. The loci of the centres will be |
| A. | two circles |
| B. | rectangle |
| C. | two straight lines |
| D. | parallelogram |
| Answer» D. parallelogram | |
| 1114. |
In the given figure, if C is the centre of the circle and \[\angle PQC=25{}^\circ \] and \[\angle PRC=15{}^\circ \], then \[\angle QCR\] is equal to |
| A. | \[40{}^\circ \] |
| B. | \[60{}^\circ \] |
| C. | \[80{}^\circ \] |
| D. | \[120{}^\circ \] |
| Answer» D. \[120{}^\circ \] | |
| 1115. |
PQRS is a parallelogram. If L, M are the mid- points of QR and PS respectively, and O is any point on LM, then the area of triangle OPQ is equal to |
| A. | \[\frac{1}{3}rd\] of the parallelogram PQRS |
| B. | \[\frac{1}{4}th\] of the parallelogram PQRS |
| C. | \[\frac{1}{2}\] of the parallelogram PQRS |
| D. | \[\frac{1}{6}th\] of the parallelogram PQRS |
| Answer» C. \[\frac{1}{2}\] of the parallelogram PQRS | |
| 1116. |
In a right angled triangle the square of the hypotenuse is twice the product of the square of the other sides. Then the triangle is |
| A. | equilateral |
| B. | isosceles |
| C. | \[\text{of }\angle s\,\,30{}^\circ ,\text{ 6}0{}^\circ ,\,\,90{}^\circ \] |
| D. | \[\text{of }\angle s\,\,40{}^\circ ,\text{ }50{}^\circ ,\,\,90{}^\circ \] |
| Answer» C. \[\text{of }\angle s\,\,30{}^\circ ,\text{ 6}0{}^\circ ,\,\,90{}^\circ \] | |
| 1117. |
The sum of the acute angles of an obtuse triangle is \[70{}^\circ \] and their difference is \[10{}^\circ \]. The largest angle is |
| A. | \[110{}^\circ \] |
| B. | \[105{}^\circ \] |
| C. | \[100{}^\circ \] |
| D. | \[95{}^\circ \] |
| Answer» B. \[105{}^\circ \] | |
| 1118. |
The angle which exceeds its complement by \[20{}^\circ \] is |
| A. | \[45{}^\circ \] |
| B. | \[55{}^\circ \] |
| C. | \[70{}^\circ \] |
| D. | \[110{}^\circ \] |
| Answer» C. \[70{}^\circ \] | |
| 1119. |
The angle which is twice its supplement is |
| A. | \[120{}^\circ \] |
| B. | \[90{}^\circ \] |
| C. | \[60{}^\circ \] |
| D. | \[30{}^\circ \] |
| Answer» B. \[90{}^\circ \] | |
| 1120. |
In the given circle ABCD, O is the centre and \[\angle BDC\,=\,\,42{}^\circ .\]. The \[\angle ACB\] is equal to |
| A. | \[42{}^\circ \] |
| B. | \[45{}^\circ \] |
| C. | \[48{}^\circ \] |
| D. | \[60{}^\circ \] |
| Answer» B. \[45{}^\circ \] | |
| 1121. |
If one angle of the parallelogram is \[16{}^\circ \] less than three times the smallest angle, then the largest angle of the parallelogram is |
| A. | \[131{}^\circ \] |
| B. | \[136{}^\circ \] |
| C. | \[112{}^\circ \] |
| D. | \[108{}^\circ \] |
| Answer» B. \[136{}^\circ \] | |
| 1122. |
P, Q and R are on ML, NL and MN of the equilateral triangle MLN respectively. If \[\mathbf{MP}:\text{ }\mathbf{PL}\text{ }=\text{ }\mathbf{NQ}:\text{ }\mathbf{QL}\text{ }=\text{ }\mathbf{1}:\text{ }\mathbf{2}\] and G is the centroid of the triangle PQL and S is the mid-point of MN. Find LG: GS. |
| A. | \[2:3\] |
| B. | \[4:5\] |
| C. | \[3:4\] |
| D. | \[1:3\] |
| E. | None of these |
| Answer» C. \[3:4\] | |
| 1123. |
In the diagram, 0 is the centre of the circle. The angles CBD is equal to |
| A. | \[25{}^\circ \] |
| B. | \[50{}^\circ \] |
| C. | \[40{}^\circ \] |
| D. | \[130{}^\circ \] |
| Answer» B. \[50{}^\circ \] | |
| 1124. |
In the figure \[BC\parallel AD.\] Find the value of x: |
| A. | 9, 10 |
| B. | 7, 8 |
| C. | 10, 12 |
| D. | 8, 9 |
| E. | None of these |
| Answer» E. None of these | |
| 1125. |
In the shown figure, I is a straight line. Find the value of x. |
| A. | \[60{}^\circ \] |
| B. | \[30{}^\circ \] |
| C. | \[40{}^\circ \] |
| D. | Cannot be determined |
| E. | None of these |
| Answer» D. Cannot be determined | |
| 1126. |
The least number of non-collinear points required to determine a plane is |
| A. | one |
| B. | two |
| C. | three |
| D. | infinite |
| Answer» D. infinite | |
| 1127. |
In the shown figure, O is the centre of the circle and PT is a tangent to the circle at P. If\[\angle \mathbf{RPT}\text{ }=\text{ }\mathbf{15}{}^\circ \text{ }\mathbf{and}\text{ }\angle \mathbf{PTR}\text{ }=\text{ }\mathbf{65}{}^\circ \], then find the value of\[\angle \mathbf{PQO}\]. |
| A. | \[15{}^\circ \] |
| B. | \[10{}^\circ \] |
| C. | \[25{}^\circ \] |
| D. | \[30{}^\circ \] |
| E. | None of these |
| Answer» C. \[25{}^\circ \] | |
| 1128. |
Two chords of lengths 16 cm and 17 cm are drawn perpendicular to each other in a circle of radius 10 cm. The distance of their point of intersection from the centre is approximately |
| A. | 6.5 cm |
| B. | 7.2 cm |
| C. | 7.6 cm |
| D. | 8 cm |
| Answer» E. | |
| 1129. |
In the shown figure, AD and BC are two chords of the circle with centre O, intersecting at E and \[\mathbf{AE}\text{ }=\text{ }\mathbf{6}\text{ }\mathbf{cm}\],\[\mathbf{BE}\text{ }=\text{ }\mathbf{5}\text{ }\mathbf{cm}\]. Find the value of _______\[\frac{EC+ED}{EC-ED}\]. |
| A. | 11 |
| B. | 5 |
| C. | 8 |
| D. | 10 |
| E. | None of these |
| Answer» B. 5 | |
| 1130. |
In the given figure, SO and PO are bisectors of two adjacent sides of quadrilateral, \[\angle \text{Q}+\,\angle \text{R}\,\] is |
| A. | \[2\angle \text{SOP}\] |
| B. | \[\angle \text{OSP}\,\text{+}\,\angle \text{OPS}\] |
| C. | \[\angle \text{SOP}\] |
| D. | \[2(\angle \text{OSP}\,\text{+}\,\angle \text{OPS)}\] |
| Answer» B. \[\angle \text{OSP}\,\text{+}\,\angle \text{OPS}\] | |
| 1131. |
The radius of the circle, in which an equilateral triangle of side 16 cm is inscribed, is _______ |
| A. | \[\frac{8\sqrt{3}}{3}\]cm |
| B. | \[\frac{16\sqrt{3}}{3}\text{ cm}\] |
| C. | \[8\sqrt{3}\text{ cm}\] |
| D. | \[\frac{2\sqrt{3}}{3}\text{ cm}\] |
| E. | None of these |
| Answer» C. \[8\sqrt{3}\text{ cm}\] | |
| 1132. |
The angle that is three times as large as its complement is |
| A. | \[135{}^\circ \] |
| B. | \[67.5{}^\circ \] |
| C. | \[50.5{}^\circ \] |
| D. | \[45{}^\circ \] |
| Answer» C. \[50.5{}^\circ \] | |
| 1133. |
Two circles with centres O and O? and of radii 6 cm and 4 cm touch each other internally. If the perpendicular bisector of line segment OO? meets the bigger circle in M and N, then the length of MN is _______ |
| A. | 1cm |
| B. | \[2\sqrt{35\text{ }}cm\] |
| C. | \[3\sqrt{5\text{ }}cm\] |
| D. | \[\sqrt{35\text{ }}cm\] |
| E. | None of these |
| Answer» C. \[3\sqrt{5\text{ }}cm\] | |
| 1134. |
The sum of all the angles of a pentagon are |
| A. | \[360{}^\circ \] |
| B. | \[540{}^\circ \] |
| C. | \[720{}^\circ \] |
| D. | None of these |
| Answer» C. \[720{}^\circ \] | |
| 1135. |
In the shown figure, AB is a diameter of the circle with centre O. If AC is a chord and OM is perpendicular on it where \[\mathbf{AB}\text{ }=\text{ }\mathbf{13}\text{ }\mathbf{cm}\] and \[\mathbf{BC}\text{ }=\text{ }\mathbf{5}\text{ }\mathbf{cm}\], then the length of OM is ________ |
| A. | 6.25 cm |
| B. | 3.25 cm |
| C. | 3.5 cm |
| D. | 2.5 cm |
| E. | None of these |
| Answer» E. None of these | |
| 1136. |
In the given figure, if E and F are the midpoint of AB and CD of parallelogram ABCD, which one is true? |
| A. | CE trisects BD |
| B. | AF trisects BD |
| C. | \[\text{ }\!\!\Delta\!\!\text{ }\,\text{ADF}\,\,\text{=}\,\,\text{ }\!\!\Delta\!\!\text{ }\,\text{CBE}\] |
| D. | All of these |
| Answer» E. | |
| 1137. |
In the given figure, if PQRS is a rectangle which one is true? |
| A. | \[\text{Ar}\,\text{ }\!\!\Delta\!\!\text{ (APS)}\,\,\text{=}\,\,\text{Ar}\,\text{ }\!\!\Delta\!\!\text{ (QRB)}\] |
| B. | \[\text{PA = RB}\] |
| C. | \[\text{Ar}\,\text{(PQS)}\,\,\text{=}\,\,\text{Ar}\,\text{(QRS)}\] |
| D. | All of the above |
| Answer» E. | |
| 1138. |
PQ and RS are two chords of the circle such that \[\mathbf{PQ}\text{ }=\text{ }\mathbf{8}\text{ }\mathbf{cm}\] and \[\mathbf{RS}\text{ }=\text{ }\mathbf{16}\] \[\mathbf{PQ}\text{ }\parallel \text{ }\mathbf{RS}\]. If the distance between PQ and RS is 4 cm, then _________ |
| A. | \[ON\text{ }=\text{ }5\text{ }cm\] |
| B. | \[radius\text{ }=\text{ }4\text{ }cm\] |
| C. | \[OM=8.5\,cm\] |
| D. | All the above |
| E. | None of these |
| Answer» C. \[OM=8.5\,cm\] | |
| 1139. |
In the given figure, AD, BF and CE are medians of a triangle ABC and O is a point of concurrency of medians. If AD = 6 cm., then OD is equal to |
| A. | 2 cm |
| B. | 3 cm |
| C. | 4 cm |
| D. | \[\frac{2}{3}\,cm\] |
| Answer» B. 3 cm | |
| 1140. |
Two concentric circles with centre 0 have P, Q, R, S as the points intersection with the line l as shown in the figure. If \[\mathbf{PS}\text{ }=\text{ }\mathbf{16}\text{ }\mathbf{cm}\] and \[\mathbf{QR}\text{ }=\text{ }12 \mathbf{cm}\] then the lengths of _________ |
| A. | PQ is 3 cm |
| B. | PR is 12 cm |
| C. | SQ is 14 cm |
| D. | RS is 4 cm |
| E. | None of these |
| Answer» D. RS is 4 cm | |
| 1141. |
ABC is an isosceles triangle with AB = AC = 5 and BC = 6. If G is the centroid of \[\Delta \,ABC\], then AG is equal to |
| A. | \[\frac{1}{3}\] |
| B. | \[\frac{2}{3}\] |
| C. | \[\frac{4}{3}\] |
| D. | \[\frac{8}{3}\] |
| Answer» E. | |
| 1142. |
In the shown triangle PQR, find the value of \[\alpha \] |
| A. | \[50{}^\circ \] |
| B. | \[65{}^\circ \] |
| C. | \[80{}^\circ \] |
| D. | \[100{}^\circ \] |
| E. | None of these |
| Answer» D. \[100{}^\circ \] | |
| 1143. |
A, B, C and D are four angles at a point so that A+B+C+D=4 right angles, out of these A and B are acute angles while C and D are obtuse angles. Which of the following relations may be true?1. A+B=C+D 2. A+C=B+D 3. A+D=B+C |
| A. | 2 and 3 only |
| B. | 1 and 3 only |
| C. | 1 and 2 only |
| D. | 3 only |
| Answer» B. 1 and 3 only | |
| 1144. |
In the given diagram \[AB\parallel \,AD\]. Then which one of the following is true? |
| A. | \[\frac{AB}{AC}=\frac{AO}{OC}\] |
| B. | \[\frac{AB}{CD}=\frac{BO}{OD}\] |
| C. | \[\Delta AOB\sim \Delta COD\] |
| D. | All of these |
| E. | None of these |
| Answer» E. None of these | |
| 1145. |
In Indus Valley Civilization (about 3000 B.C.), the bricks used for construction work were having dimension in the ratio __________ |
| A. | \[2\,\,:\,\,4\,\,:\,\,5\] |
| B. | \[3:2:1\] |
| C. | \[4:2:1~\] |
| D. | \[4:2:5\] |
| E. | None of these |
| Answer» D. \[4:2:5\] | |
| 1146. |
In the given figure, Z6 is less than one-third of a right angle, then |
| A. | \[\phi >150{}^\circ \] |
| B. | \[\phi \ge 150{}^\circ \] |
| C. | \[\phi \le 150{}^\circ \] |
| D. | \[\phi <150{}^\circ \] |
| Answer» B. \[\phi \ge 150{}^\circ \] | |
| 1147. |
In the shown figure, PQRS is a parallelogram and if M and N are the mid- points of RQ and RS respectively, then ________ |
| A. | \[Ar\text{ (}\Delta \text{ NMR)=}\frac{1}{4}\text{ A}r(\text{ }{{\parallel }^{gm}}PQRS)\] |
| B. | \[Ar\text{ (}\Delta \text{ PQM)=}\frac{1}{8}\text{ A}r(\,{{\parallel }^{gm}}PQRS)\] |
| C. | \[Ar\text{ (}\Delta \text{ PNM)=}\frac{3}{8}\text{ A}r\text{ }(\text{ }{{\parallel }^{gm}}PQRS)\] |
| D. | All of the above |
| E. | None of these |
| Answer» D. All of the above | |
| 1148. |
If the diagonals of a quadrilateral bisect one another at right angles, then the quadrilateral is a |
| A. | Trapezium |
| B. | Rectangle |
| C. | Rhombus |
| D. | None of these |
| Answer» D. None of these | |
| 1149. |
In the shown figure, N is the mid-point of QP. M is any point on QR. If \[\mathbf{OR}\text{ }\parallel \text{ }\mathbf{NM}\] meets PQ in O, then which one among the following is true? |
| A. | \[ar(\Delta QMO)=ar(\Delta QNR)\] |
| B. | \[ar\text{ }(\Delta \text{ }MNO)=ar\text{ }(\Delta \text{ }MRN)\] |
| C. | \[ar\text{ }(\Delta \text{ }QRN)=\frac{1}{2}ar\text{ }(\Delta \text{ PQR})\] |
| D. | All the above |
| E. | None of these |
| Answer» E. None of these | |
| 1150. |
At 2.15 o'clock the hour and minute hands of clock form an angle of |
| A. | \[30{}^\circ \] |
| B. | \[22\frac{1{}^\circ }{2}\] |
| C. | \[7\frac{1{}^\circ }{2}\] |
| D. | \[5{}^\circ \] |
| Answer» D. \[5{}^\circ \] | |