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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.
| 1751. |
In a rhombus\[ABCD\], \[\angle A={{60}^{o}}\] and\[AB=6\,\,cm\]. Find the diagonal\[BD\]. |
| A. | \[2\sqrt{3}cm\] |
| B. | \[6\,\,cm\] |
| C. | \[12\,\,cm\] |
| D. | Insufficient data |
| Answer» C. \[12\,\,cm\] | |
| 1752. |
In the given figure, \[AO\] and \[DO\] are the bisectors of \[\angle A\] and \[\angle D\] of the quadrilateral\[ABCD\]. Find\[\angle AOD\]. |
| A. | \[{{67.5}^{o}}\] |
| B. | \[{{77.5}^{o}}\] |
| C. | \[{{87.5}^{o}}\] |
| D. | \[{{99.75}^{o}}\] |
| Answer» D. \[{{99.75}^{o}}\] | |
| 1753. |
If APB and CQD are two parallel lines, then the bisectors of the angles APQ, BPQ, CQP and PQD form |
| A. | Kite |
| B. | Rhombus |
| C. | Rectangle |
| D. | Trapezium |
| Answer» D. Trapezium | |
| 1754. |
When is the quadrilateral formed by joining the midpoints of the sides of a quadrilateral\[PQRS\], taken in order, a rectangle? |
| A. | \[PQRS\] is a rectangle. |
| B. | \[PQRS\]is a parallelogram. |
| C. | Diagonals of \[PQRS\] are perpendicular. |
| D. | Diagonals of \[PQRS\] are equal. |
| Answer» D. Diagonals of \[PQRS\] are equal. | |
| 1755. |
The measure of all the angles of a parallelogram, if an angle adjacent to the smallest angle is \[{{24}^{o}}\] less than twice the smallest angle, is |
| A. | \[{{37}^{o}},\,\,{{143}^{o}},\,\,{{37}^{o}},\,\,{{143}^{o}}\] |
| B. | \[{{108}^{o}},\,\,{{72}^{o}},\,\,{{108}^{o}},\,\,{{72}^{o}}\] |
| C. | \[{{68}^{o}},\,\,{{112}^{o}},\,\,{{68}^{o}},\,\,{{112}^{o}}\] |
| D. | None of these |
| Answer» D. None of these | |
| 1756. |
In a parallelogram\[ABCD,\]\[\angle D={{60}^{o}}\]. Find the measure of\[\angle A\]. |
| A. | \[{{120}^{o}}\] |
| B. | \[{{65}^{o}}\] |
| C. | \[{{90}^{o}}\] |
| D. | \[{{75}^{o}}\] |
| Answer» B. \[{{65}^{o}}\] | |
| 1757. |
PQRS is a rhombus. A straight line through R cuts PS produced at X and PQ produced at Y. If \[SX=\frac{1}{2}PQ\], then the ratio of the length of QY and PQ is |
| A. | 0.0840277777777778 |
| B. | 0.0430555555555556 |
| C. | \[1:1\] |
| D. | 0.125694444444444 |
| Answer» B. 0.0430555555555556 | |
| 1758. |
In a cyclic quadrilateral ABCD, \[\angle BCD={{130}^{{}^\circ }}\]and passes through the centre of the circle. Then\[\angle \mathbf{ABD}=\]? |
| A. | \[{{30}^{{}^\circ }}\] |
| B. | \[{{40}^{{}^\circ }}\] |
| C. | \[{{50}^{{}^\circ }}\] |
| D. | \[{{60}^{{}^\circ }}\] |
| Answer» C. \[{{50}^{{}^\circ }}\] | |
| 1759. |
ABCD is a cyclic quadrilateral. AB and DC when produced meet at P, if \[PA=12\]cm., PB = 8 cm, PC = 6 cm, then the length (in cm ) of PD is |
| A. | 8 cm |
| B. | 6cm |
| C. | 10 cm |
| D. | 16 cm |
| Answer» E. | |
| 1760. |
In the given figure, ABCD is a parallelogram, M is the mid-point of BD and BD bisects \[\angle B\] as well as \[\angle D\]. Then \[\angle AMB=\]? |
| A. | \[{{45}^{{}^\circ }}\] |
| B. | \[{{60}^{{}^\circ }}\] |
| C. | \[{{90}^{{}^\circ }}\] |
| D. | \[{{30}^{{}^\circ }}\] |
| Answer» D. \[{{30}^{{}^\circ }}\] | |
| 1761. |
In the given figure, ABCD Is a \[\parallel \] gm and E is the mid-point of BC Also DE and AB when produced meet at F, Then, |
| A. | \[AF=\frac{3}{2}AB\] |
| B. | \[AF=2AB\] |
| C. | \[AF=3AB\] |
| D. | \[A{{F}^{2}}=2A{{B}^{2}}\] |
| Answer» C. \[AF=3AB\] | |
| 1762. |
In. the adjoining kite, diagonals intersect at O If \[\angle ABO={{32}^{{}^\circ }}\] and \[\angle \left( OCD \right)=\mathbf{4}{{\mathbf{0}}^{{}^\circ }}\], \[\angle \mathbf{ABC}\] |
| A. | \[{{60}^{{}^\circ }}\] |
| B. | \[{{64}^{{}^\circ }}\] |
| C. | \[{{75}^{{}^\circ }}\] |
| D. | \[{{90}^{{}^\circ }}\] |
| Answer» C. \[{{75}^{{}^\circ }}\] | |
| 1763. |
In the given figure, ABCD is a parallelogram in which \[\angle \mathbf{BAD}=\mathbf{7}{{\mathbf{5}}^{{}^\circ }}\] and \[\angle CBD={{60}^{{}^\circ }}\]. Then, \[\angle \mathbf{BDC}=\]? |
| A. | \[{{60}^{{}^\circ }}\] |
| B. | \[{{75}^{{}^\circ }}\] |
| C. | \[{{45}^{{}^\circ }}\] |
| D. | \[{{50}^{{}^\circ }}\] |
| Answer» D. \[{{50}^{{}^\circ }}\] | |
| 1764. |
Find each interior and exterior angle of regular polygon having 30 sides. |
| A. | \[{{154}^{{}^\circ }},{{34}^{{}^\circ }}\] |
| B. | \[{{168}^{{}^\circ }},{{12}^{{}^\circ }}\] |
| C. | \[{{122}^{{}^\circ }},{{15}^{{}^\circ }}\] |
| D. | \[{{121}^{{}^\circ }},{{58}^{{}^\circ }}\] |
| Answer» C. \[{{122}^{{}^\circ }},{{15}^{{}^\circ }}\] | |
| 1765. |
ABCD is a quadrilateral such that \[\angle \mathbf{D}=\mathbf{9}{{\mathbf{0}}^{{}^\circ }}\]. A circle C(O, r) touches the sides AB, BC, CD and DA at P, Q R and S respectively. If \[\mathbf{BC}=\mathbf{38}\]cm. \[\mathbf{CD}=\mathbf{25}\]cm and \[\mathbf{BP}=\mathbf{27}\]cm then radius 'r, is equal to |
| A. | 14 cm |
| B. | 11 cm |
| C. | 12 cm |
| D. | 10 cm |
| Answer» B. 11 cm | |
| 1766. |
A point X inside a rectangle PQRS is joined to the vertices then, which of the following is true? |
| A. | area\[\left( \Delta PSX \right)\]=area\[\left( \Delta PXQ \right)\] |
| B. | \[area\left( \Delta PSX \right)+area\left( \Delta PXQ \right)=area\left( RSX \right)+area\left( \Delta RQX \right)\] |
| C. | \[area\left( \Delta PXS \right)+area\left( \Delta RXQ \right)=area\left( \Delta SRX \right)+area\left( \Delta PXQ \right)\] |
| D. | None of these |
| Answer» D. None of these | |
| 1767. |
In the given figure AE=BC and \[\mathbf{AE}\parallel \mathbf{BC}\] and the three sides AB, CD and ED are equal in length. If \[\mathbf{m}\angle \mathbf{A}=\mathbf{10}{{\mathbf{5}}^{{}^\circ }}\], find measures of \[\angle \,\mathbf{BCD}\]: |
| A. | \[{{138}^{{}^\circ }}\] |
| B. | \[{{165}^{{}^\circ }}\] |
| C. | \[{{88}^{{}^\circ }}\] |
| D. | None of these |
| Answer» C. \[{{88}^{{}^\circ }}\] | |
| 1768. |
In the given figure, ABCD is a square. A line segment DX cuts the side BC at X and the diagonal AC at 0 Such that \[\angle \mathbf{COD}=\mathbf{11}{{\mathbf{5}}^{{}^\circ }}\]and \[\angle \mathbf{OXC}={{\mathbf{x}}^{{}^\circ }}\]. The value of x is: |
| A. | \[{{40}^{{}^\circ }}\] |
| B. | \[{{60}^{{}^\circ }}\] |
| C. | \[{{80}^{{}^\circ }}\] |
| D. | \[{{85}^{{}^\circ }}\] |
| Answer» C. \[{{80}^{{}^\circ }}\] | |
| 1769. |
If ABCD is a quadrilateral whose diagondals AC and BD intersect at O, then: |
| A. | \[\left( AB+BC+CD+DA \right)<\left( AC+BD \right)\] |
| B. | \[\left( AB+BC+CD+DA \right)>2\left( AC+BD \right)\] |
| C. | \[\left( AB+BC+CD+DA \right)>\left( AC+BD \right)\] |
| D. | \[AB+BC+CD+DA=2\left( AC+BD \right)\] |
| Answer» D. \[AB+BC+CD+DA=2\left( AC+BD \right)\] | |
| 1770. |
In the quadrilateral ABCD, the line segments bisecting \[\angle \mathbf{C}\] and \[\angle D\] at E. Then the correct statement is: |
| A. | \[\angle A+\angle B=\angle CED\] |
| B. | \[\angle A+\angle B\text{=}2\angle CED\] |
| C. | \[\angle A+\angle B=3\angle CED\] |
| D. | None of these |
| Answer» C. \[\angle A+\angle B=3\angle CED\] | |
| 1771. |
The parallel sides of a trapezium are x and y respectively. The line joining the points of its non-parallel sides will be: |
| A. | \[\sqrt{xy}\] |
| B. | \[\frac{2xy}{x+y}\] |
| C. | \[\frac{\left( x+y \right)}{2}\] |
| D. | \[\frac{1}{4}(x-y)\] |
| Answer» D. \[\frac{1}{4}(x-y)\] | |
| 1772. |
In a trapezium ABCD If \[\mathbf{AB}\parallel \mathbf{CD}\], thee \[\mathbf{A}{{\mathbf{C}}^{2}}+\mathbf{B}{{\mathbf{D}}^{2}}\]is equal to: |
| A. | \[B{{C}^{2}}+A{{D}^{2}}+2AB.CD\] |
| B. | \[A{{B}^{2}}+C{{D}^{2}}+2AD.BC\] |
| C. | \[A{{B}^{2}}+C{{D}^{2}}+2AB.CD\] |
| D. | \[B{{C}^{\mathbf{2}}}+A{{D}^{2}}+2BC.AD\] |
| Answer» B. \[A{{B}^{2}}+C{{D}^{2}}+2AD.BC\] | |
| 1773. |
PQRS is a trapezium in which \[\mathbf{PS}\parallel \mathbf{QR}\] and \[PQ=SR=12\]m. then the distance of PS from QR is: |
| A. | \[10\sqrt{2}\]m |
| B. | \[4\sqrt{2}\]m |
| C. | \[5\sqrt{2}\]m |
| D. | \[6\sqrt{2}\]m |
| Answer» E. | |
| 1774. |
The length of the two adjacent sides of a rectangle inscribed in a circle are 3 cm and 4 cm respectively. Then the radius of the circle will be |
| A. | 6 cm |
| B. | 2.5 cm |
| C. | 8 cm |
| D. | 8.5 cm |
| Answer» C. 8 cm | |
| 1775. |
Q is a point in the interior of a rectangle ABCD. If \[\mathbf{QA}=\mathbf{4}\]cm, \[QB=3\]cm and \[\mathbf{QC}=\mathbf{5}\] cm, then the length of QD (in cm) is |
| A. | \[4\sqrt{2}\] |
| B. | \[5\sqrt{2}\] |
| C. | \[\sqrt{34}\] |
| D. | \[\sqrt{41}\] |
| Answer» B. \[5\sqrt{2}\] | |
| 1776. |
Two numbers are chosen from 1 to 5. Find the probability for the two numbers to be consecutive. |
| A. | \[\frac{1}{5}\] |
| B. | \[\frac{2}{5}\] |
| C. | \[\frac{1}{10}\] |
| D. | \[\frac{3}{5}\] |
| Answer» C. \[\frac{1}{10}\] | |
| 1777. |
A spinner with the numbers 1 to 5 written on equal sectors is spin once. What is the possibility of spinning a prime number? |
| A. | \[\frac{1}{5}\] |
| B. | \[\frac{2}{5}\] |
| C. | \[\frac{3}{5}\] |
| D. | \[\frac{4}{5}\] |
| Answer» D. \[\frac{4}{5}\] | |
| 1778. |
Robin begins a game of battleship by placing an aircraft or \[\mathbf{10\times 10}\]grid. The aircraft carrier must be placed horizontally or vertically occupying 5 squares. One possible position is shown alongside. Robin selects one of those positions at random. What is the possibility that the aircraft carrier occupies the square B3? |
| A. | \[\frac{1}{4}\] |
| B. | \[\frac{1}{2}\] |
| C. | \[\frac{7}{60}\] |
| D. | \[\frac{1}{24}\] |
| Answer» E. | |
| 1779. |
Suppose that a pair of dice is rolled. The 25 different possible results are illustrated on the 2-dimensional grid. The possibility of getting a sum of greater than 8 is |
| A. | \[\frac{1}{12}\] |
| B. | \[\frac{5}{18}\] |
| C. | \[\frac{6}{25}\] |
| D. | \[\frac{3}{25}\] |
| Answer» E. | |
| 1780. |
Two dice are thrown simultaneously. The probability of getting a multiple of 2 on one die and a multiple of 3 on the other is ____. |
| A. | \[\frac{5}{36}\] |
| B. | \[\frac{5}{12}\] |
| C. | \[\frac{11}{36}\] |
| D. | \[\frac{1}{12}\] |
| Answer» D. \[\frac{1}{12}\] | |
| 1781. |
Find the probability that a number selected at random from the numbers 1 to 25 is not a prime number when each of the given numbers is equally likely to be selected. |
| A. | \[\frac{9}{25}\] |
| B. | \[\frac{16}{25}\] |
| C. | \[\frac{11}{25}\] |
| D. | \[\frac{6}{25}\] |
| Answer» C. \[\frac{11}{25}\] | |
| 1782. |
A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn at random from the bag. What is the probability of getting a black ball? |
| A. | \[\frac{1}{4}\] |
| B. | \[\frac{5}{12}\] |
| C. | \[\frac{7}{12}\] |
| D. | 1 |
| Answer» C. \[\frac{7}{12}\] | |
| 1783. |
In a cricket match, a batsman hits a sixe 8 times out of 32 balls played. Find the probability that a sixer is not hit in a bail |
| A. | 0.75 |
| B. | 0.25 |
| C. | -0.25 |
| D. | 0.5 |
| Answer» B. 0.25 | |
| 1784. |
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is composite? |
| A. | \[\frac{1}{3}\] |
| B. | \[\frac{1}{4}\] |
| C. | \[\frac{3}{8}\] |
| D. | \[\frac{29}{36}\] |
| Answer» E. | |
| 1785. |
In a simultaneous throw of two dice, what is the probability of getting a total of 10 or 11? |
| A. | \[\frac{1}{4}\] |
| B. | \[\frac{1}{6}\] |
| C. | \[\frac{7}{12}\] |
| D. | \[\frac{5}{36}\] |
| Answer» E. | |
| 1786. |
Three unbiased coins are tossed. What is the probability of getting at least 2 heads? |
| A. | \[\frac{1}{4}\] |
| B. | \[\frac{1}{2}\] |
| C. | \[\frac{1}{3}\] |
| D. | \[\frac{1}{8}\] |
| Answer» C. \[\frac{1}{3}\] | |
| 1787. |
The most recent freshman class at Loyola consists of 880 students. Of these, 500 identified themselves as "smokers?. Compute the empirical probability that a randomly selected freshman student from this class is not a "smoker" |
| A. | \[\frac{8}{22}\] |
| B. | \[\frac{19}{44}\] |
| C. | \[\frac{15}{44}\] |
| D. | \[\frac{9}{44}\] |
| Answer» C. \[\frac{15}{44}\] | |
| 1788. |
The following chart shows the number of students who failed in different subjects in an examination. What is the probability that a student chosen randomly failed in Mathematics? |
| A. | 0.38 |
| B. | 0.33 |
| C. | 0.23 |
| D. | 0.32 |
| Answer» C. 0.23 | |
| 1789. |
On the basis of date given alongside what is the possibility that a girl chosen randomly whose height is less than 150 cm? Height (in cm) Number of girls Less than 140 20 Less than 145 11 Less than 150 29 Less than 155 40 Less than 160 49 Less than 165 51 |
| A. | 0.3 |
| B. | 0.33 |
| C. | 0.4 |
| D. | 0.44 |
| Answer» B. 0.33 | |
| 1790. |
A summery was conducted on a group of students on their IQ score. The data recorded are given below. On the basis of given data the possibility of a student selected randomly whose IQ 100 and more is IQ score 80-90 90-100 100-110 110-120 120-130 No. of students 6 9 16 13 4 |
| A. | 0.6 |
| B. | 0.5 |
| C. | 0.8 |
| D. | 0.9 |
| Answer» C. 0.8 | |
| 1791. |
What is the probability that a non-leap year contains 53 Saturdays? |
| A. | \[\frac{2}{7}\] |
| B. | \[\frac{1}{7}\] |
| C. | \[\frac{2}{365}\] |
| D. | \[\frac{1}{365}\] |
| Answer» C. \[\frac{2}{365}\] | |
| 1792. |
Tanya has the following coins in her pocket: Rs. 1, Rs. 2, Rs. 5, Rs. 10. She selects one coin at random to put in a charity collection box. What is the probability that she (i) gives more than 20p? (ii) has less than Rs. 5 left in her pocket? |
| A. | (i) (ii) 1 \[\frac{1}{2}\] |
| B. | (i) (ii) \[\frac{1}{2}\] 1 |
| C. | (i) (ii) \[\frac{3}{4}\] \[\frac{1}{2}\] |
| D. | (i) (ii) \[\frac{1}{2}\] \[\frac{3}{4}\] |
| Answer» B. (i) (ii) \[\frac{1}{2}\] 1 | |
| 1793. |
To know the opinion of the students about the subject probability a survey of 500 students also was recorded in the following data. What is the possibilities that a student chosen at random has no opinion? Opinion Number of students Like 145 Dislike 230 No opinion 125 |
| A. | \[\frac{5}{9}\] |
| B. | \[\frac{1}{4}\] |
| C. | \[\frac{1}{3}\] |
| D. | \[\frac{1}{2}\] |
| Answer» C. \[\frac{1}{3}\] | |
| 1794. |
A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers. 1, 2, 3, _ _ _ _ ,12 as shown alongside and these are equally outcomes what is the probability that it will point a perfect square? |
| A. | \[\frac{1}{3}\] |
| B. | \[\frac{1}{4}\] |
| C. | \[\frac{1}{5}\] |
| D. | \[\frac{1}{6}\] |
| Answer» C. \[\frac{1}{5}\] | |
| 1795. |
The speed of vehicles 200 travelling along a section of highway were recorded and displayed frequently alongside. What is the possibility that the vehicles were travelling at a speed between 60 kmph and 100 kmph? |
| A. | \[\frac{2}{7}\] |
| B. | \[\frac{3}{7}\] |
| C. | \[\frac{11}{14}\] |
| D. | \[\frac{1}{7}\] |
| Answer» D. \[\frac{1}{7}\] | |
| 1796. |
From a normal pack of cards, a card is drawn at random. What is the probability of getting a jack or a king? |
| A. | \[\frac{1}{26}\] |
| B. | \[\frac{1}{52}\] |
| C. | \[\frac{2}{13}\] |
| D. | \[\frac{1}{13}\] |
| Answer» D. \[\frac{1}{13}\] | |
| 1797. |
Without looking at any page, a number is chosen at random from the page. What is the probability that the digit at the units place of the number chosen is greater than 6? |
| A. | \[\frac{3}{10}\] |
| B. | \[\frac{6}{10}\] |
| C. | \[\frac{4}{10}\] |
| D. | None of these |
| Answer» B. \[\frac{6}{10}\] | |
| 1798. |
Ifis divided bythen the remainder is___. |
| A. | A negative integer |
| B. | A positive integer |
| C. | A negative rational number |
| D. | A positive rational number |
| Answer» D. A positive rational number | |
| 1799. |
Which of the following is a trinomial in\[p\]? |
| A. | \[{{x}^{2}}+5\] |
| B. | \[{{p}^{3}}+{{p}^{2}}+\sqrt{2}\] |
| C. | \[\sqrt{p}\left( 1+\sqrt{2p} \right)\] |
| D. | \[y+\frac{1}{y}+\frac{1}{2}\] |
| Answer» C. \[\sqrt{p}\left( 1+\sqrt{2p} \right)\] | |
| 1800. |
Let \[{{R}_{1}}\] and \[{{R}_{2}}\] be the remainders when the polynomials \[f(x)=4{{x}^{3}}+3{{x}^{2}}-12ax-15\] and \[g(x)=2{{x}^{3}}+a{{x}^{2}}-6x+12\] are divided by \[(x-1)\] and \[(x-2)\] respectively. If \[3{{R}_{1}}+{{R}_{2}}+28=0\] find the value of\['a'\]. |
| A. | \[0\] |
| B. | \[-1\] |
| C. | \[1\] |
| D. | \[32\] |
| Answer» D. \[32\] | |