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MCQOPTIONS
This section includes 2154 Mcqs, each offering curated multiple-choice questions to sharpen your 7th Class knowledge and support exam preparation. Choose a topic below to get started.
| 1001. |
\[\text{QP}|\,\,|TS\] and \[\angle QRS=36{}^\circ ,\] then value of \[\angle PQR\] |
| A. | \[48{}^\circ \] |
| B. | \[52{}^\circ \] |
| C. | \[72{}^\circ \] |
| D. | \[50{}^\circ \] |
| Answer» D. \[50{}^\circ \] | |
| 1002. |
\[\angle ABC\] in the given figure is equal to |
| A. | \[75{}^\circ \] |
| B. | \[105{}^\circ \] |
| C. | \[115{}^\circ \] |
| D. | \[85{}^\circ \] |
| Answer» C. \[115{}^\circ \] | |
| 1003. |
In a \[\Delta \,\,\mathbf{PQR}\], if\[\mathbf{2}\angle \mathbf{P}=\mathbf{18}\,\text{ }\angle \mathbf{Q}=\mathbf{9}\,\,\,\angle \mathbf{R}\], then _________. |
| A. | \[\angle P+\angle Q=150{}^\circ \] |
| B. | \[\angle P-\angle Q-130{}^\circ \] |
| C. | \[\angle R-\angle Q=20{}^\circ \] |
| D. | All the above |
| E. | None of these |
| Answer» B. \[\angle P-\angle Q-130{}^\circ \] | |
| 1004. |
If \[\angle 2=2\angle 1,\] then \[\angle 7\] is equal to |
| A. | \[50{}^\circ \] |
| B. | \[60{}^\circ \] |
| C. | \[70{}^\circ \] |
| D. | \[80{}^\circ \] |
| Answer» C. \[70{}^\circ \] | |
| 1005. |
In the given triangle, the value of x is |
| A. | \[55{}^\circ \] |
| B. | \[110{}^\circ \] |
| C. | \[70{}^\circ \] |
| D. | \[27.5{}^\circ \] |
| Answer» E. | |
| 1006. |
If CE is parallel to DB is the given figure, then the value of x will be |
| A. | \[45{}^\circ \] |
| B. | \[75{}^\circ \] |
| C. | \[30{}^\circ \] |
| D. | \[85{}^\circ \] |
| Answer» E. | |
| 1007. |
If\[\angle 2=(3x-10){}^\circ \]and\[\angle 8=(5x-30){}^\circ ,\]then\[\angle 2\] and\[\angle 8\] are |
| A. | \[100{}^\circ ,\,\,100{}^\circ \] |
| B. | \[20{}^\circ ,\,\,20{}^\circ \] |
| C. | \[40{}^\circ ,\,\,90{}^\circ \] |
| D. | \[60{}^\circ ,\,\,60{}^\circ \] |
| Answer» C. \[40{}^\circ ,\,\,90{}^\circ \] | |
| 1008. |
In the given figure AC || BD and AE || BE The measure of \[\angle x\] is |
| A. | \[130{}^\circ \] |
| B. | \[110{}^\circ \] |
| C. | \[70{}^\circ \] |
| D. | \[100{}^\circ \] |
| Answer» D. \[100{}^\circ \] | |
| 1009. |
Assume \[p|\,\,\,|q\] in the figure shown. Then 'x' equals. |
| A. | \[18{}^\circ \] |
| B. | \[22{}^\circ \] |
| C. | \[62{}^\circ \] |
| D. | \[72{}^\circ \] |
| Answer» D. \[72{}^\circ \] | |
| 1010. |
DIRECTIONS: Passage ? 2 Read the passage(s) given below and answer the questions that follow In the figure, 4 pieces of identical \[30{}^\circ -60{}^\circ -90{}^\circ \] set squares are arranged to form a quadrilateral ABCD. Based on the information answer the questions given below. \[\angle CQS\]is equal to |
| A. | \[50{}^\circ \] |
| B. | \[60{}^\circ \] |
| C. | \[55{}^\circ \] |
| D. | \[45{}^\circ \] |
| Answer» E. | |
| 1011. |
DIRECTIONS: Passage ? 2 Read the passage(s) given below and answer the questions that follow In the figure, 4 pieces of identical \[30{}^\circ -60{}^\circ -90{}^\circ \] set squares are arranged to form a quadrilateral ABCD. Based on the information answer the questions given below. \[\angle SPQ\]is equal to |
| A. | \[100{}^\circ \] |
| B. | \[80{}^\circ \] |
| C. | \[90{}^\circ \] |
| D. | \[70{}^\circ \] |
| Answer» D. \[70{}^\circ \] | |
| 1012. |
In the given figure, \[\mathbf{p}\parallel \mathbf{q}\text{ }\mathbf{and}\text{ }\mathbf{r}\parallel \mathbf{s}\] and\[\angle \mathbf{sbp}=\mathbf{79}{}^\circ \]. Based on this information, which one among the following statements is correct? |
| A. | \[\angle 2=102{}^\circ \] |
| B. | \[\text{ }\angle 3=79{}^\circ \] |
| C. | \[\angle 4=100{}^\circ \] |
| D. | All the above |
| E. | None of these |
| Answer» C. \[\angle 4=100{}^\circ \] | |
| 1013. |
The side included between the angles A and B of \[\Delta \]ABC is |
| A. | AC |
| B. | CB |
| C. | AB |
| D. | CA |
| Answer» D. CA | |
| 1014. |
DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow In the figure PQRS is a square with \[OR=TR\] \[SR=\left( 7t-6 \right)\,cm\] and \[PS=\left( 2t+9 \right)\,cm.\] Based on this information answer the questions given below. The value of PS is |
| A. | 15 cm |
| B. | 16 cm |
| C. | 12 cm |
| D. | 13 cm |
| Answer» B. 16 cm | |
| 1015. |
DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow In the figure PQRS is a square with \[OR=TR\] \[SR=\left( 7t-6 \right)\,cm\] and \[PS=\left( 2t+9 \right)\,cm.\] Based on this information answer the questions given below. The value of t is |
| A. | 4 cm |
| B. | 3 cm |
| C. | 2 cm |
| D. | 5 cm |
| Answer» C. 2 cm | |
| 1016. |
Consider the following statements related to the congruency of two right triangles. (i) Equality of two sides of one triangle with any two sides of the second makes the triangles congruent. (ii) Equality of hypotenuse and a side of one triangle with the hypotenuse and a side of the second respectively makes the triangles congruent. (iii) Equality of the hypotenuse and an acute angle of one triangle with the hypotenuse and an angle of the second respectively makes the triangles congruent. |
| A. | (i), (ii) and (iii) are correct |
| B. | (i) and (ii) are correct |
| C. | (i) and (iii) are correct |
| D. | (ii) and (iii) are correct |
| Answer» E. | |
| 1017. |
Four triangles are formed by joining the mid points of three sides of a triangle. (i) Two triangles are congruent (ii) Three triangles are congruent (iii) All the triangles are congruent (iv) None are congruent |
| A. | (i) is correct |
| B. | (ii) is correct |
| C. | (iii) is correct |
| D. | (iv) is correct |
| Answer» E. | |
| 1018. |
If the angles of a triangle are in the ratio \[1:2:1\] then which of the following statement (s) is/are correct (i) Triangle is right angled triangle. (ii) Triangle is an isosceles triangle. (iii) Angles of triangle are \[45{}^\circ ,\] \[45{}^\circ \] and \[90{}^\circ \] respectively. |
| A. | (i) and (iii) is correct |
| B. | Only (iii) is correct |
| C. | (ii) and (iii) is correct |
| D. | (i) and (ii) is correct |
| Answer» E. | |
| 1019. |
If ABCD is a square; X is the mid-point of AB and Y is the midpoint of BC, then considered following statements. (i) The triangle ADX and BAY are congruent (ii) \[\angle DXA=\angle AYB\] (iii) DX is perpendicular to AY |
| A. | Only (i) is correct |
| B. | (iv) is correct |
| C. | (i), (ii) & (iii) all are correct |
| D. | Only (ii) is correct |
| Answer» D. Only (ii) is correct | |
| 1020. |
Which of the following is correct measurements of sides of a right angled triangle? |
| A. | 9, 12, 15 |
| B. | 7, 8, 10 |
| C. | 7, 24, 26 |
| D. | 2, 3, 6 |
| Answer» B. 7, 8, 10 | |
| 1021. |
The perimeter of a rectangle whose one side measure 20 m and the diagonal is 29 m |
| A. | 82 m |
| B. | 78 cm |
| C. | 98 m |
| D. | 88 m |
| Answer» B. 78 cm | |
| 1022. |
The condition that makes the following pair of triangles congruent is |
| A. | SSS |
| B. | ASA |
| C. | SAS |
| D. | RHS |
| Answer» B. ASA | |
| 1023. |
The two legs of a right triangle are equal and the square of the hypotenuse is 50. The length of each leg is |
| A. | 25 |
| B. | 5 |
| C. | 10 |
| D. | 12.5 |
| Answer» C. 10 | |
| 1024. |
How many diagonals are there in a 60 sided convex plane? |
| A. | 1580 |
| B. | 1710 |
| C. | 1810 |
| D. | 1680 |
| E. | None of these |
| Answer» C. 1810 | |
| 1025. |
If\[AB\parallel CD\]and\[BC\parallel DC\]then\[\angle a+\angle b\]is equal to |
| A. | \[110{}^\circ \] |
| B. | \[120{}^\circ \] |
| C. | \[100{}^\circ \] |
| D. | \[115{}^\circ \] |
| Answer» B. \[120{}^\circ \] | |
| 1026. |
In the figure shown, if\[\angle \,\mathbf{RQS}\text{ }\mathbf{=}\text{ }\angle \,\mathbf{PQS}\], \[\angle \,\mathbf{P}\text{ }\mathbf{=}\angle \,\mathbf{R+}\text{ }\mathbf{32}{}^\circ \] and\[\angle \mathbf{QSP=}\text{ }\mathbf{88}{}^\circ \], then find\[\angle \text{ }\mathbf{PQR}\]. |
| A. | \[36{}^\circ \] |
| B. | \[42{}^\circ \] |
| C. | \[48{}^\circ \] |
| D. | \[49{}^\circ \] |
| E. | None of these |
| Answer» C. \[48{}^\circ \] | |
| 1027. |
The value of \[x\] in the figure is |
| A. | 35 |
| B. | 70 |
| C. | 55 |
| D. | 65 |
| Answer» C. 55 | |
| 1028. |
In the figure shown below. \[\mathbf{2}\text{ }\angle \,\mathbf{A}\text{ }\mathbf{=}\angle \,\mathbf{BOC}\] OB and OC are bisector of \[\angle \]B and \[\angle \] C respectively. Find \[\angle \]A. |
| A. | \[50{}^\circ \] |
| B. | \[75{}^\circ \] |
| C. | \[60{}^\circ \] |
| D. | \[45{}^\circ \] |
| E. | None of these |
| Answer» D. \[45{}^\circ \] | |
| 1029. |
If one angle of a triangle is equal to the sum of the other two angles, the triangle must be: |
| A. | scalene |
| B. | right angled |
| C. | obtuse angles |
| D. | actute angled |
| Answer» C. obtuse angles | |
| 1030. |
In\[\Delta \text{ }\mathbf{MNT}\text{ }\mathbf{and}\text{ }\Delta \text{ }\mathbf{PQR}\],\[\angle \text{ }\mathbf{N=}\text{ }\angle \text{ }\mathbf{Q = 90{}^\circ }\],\[\mathbf{MM}\,\,\mathbf{=}\,\,\mathbf{PQ}\,\,\mathbf{and}\,\,\mathbf{NT}\,\,\mathbf{=}\,\,\mathbf{QR}\] Which of the following property can be used to prove congruence of A MNT and A PQR? |
| A. | ASA |
| B. | SSS |
| C. | SAS |
| D. | RHS |
| E. | None of these |
| Answer» D. RHS | |
| 1031. |
\[\Delta ABC\] is an equilateral triangle in which\[AD\bot BC\]\[\Delta ABD\] is congruent to: |
| A. | \[\Delta ADC\] |
| B. | \[\Delta ACD\] |
| C. | \[\Delta ABC\] |
| D. | \[\Delta CDA\] |
| Answer» C. \[\Delta ABC\] | |
| 1032. |
In the shown figure, PQRS is a square of side 12cm, and\[\mathbf{OM}\text{ }\bot \text{ }\mathbf{SR}\]. Find the length of MQ. |
| A. | \[4\sqrt{5}\,cm\] |
| B. | \[6\sqrt{5}\,cm\] |
| C. | \[3\sqrt{2}\,cm\] |
| D. | \[6\sqrt{2}\,cm\] |
| E. | None of these |
| Answer» C. \[3\sqrt{2}\,cm\] | |
| 1033. |
In the shown figure,\[\angle \mathbf{ BAD= 2 }\angle \mathbf{ DAC}\]\[\angle \mathbf{B=}\,\angle \mathbf{C+48{}^\circ }\,\,\mathbf{and}\,\angle \,\mathbf{ADC=}\,\,\mathbf{132{}^\circ }\]. Find \[\angle \mathbf{BAC}\mathbf{.}\] |
| A. | \[99{}^\circ \] |
| B. | \[120{}^\circ \] |
| C. | \[108{}^\circ \] |
| D. | \[126{}^\circ \] |
| E. | None of these |
| Answer» D. \[126{}^\circ \] | |
| 1034. |
If \[\angle 1=\angle 2,\] then value of y is |
| A. | \[45{}^\circ \] |
| B. | \[60{}^\circ \] |
| C. | \[22.5{}^\circ \] |
| D. | \[12.5{}^\circ \] |
| Answer» D. \[12.5{}^\circ \] | |
| 1035. |
\[\angle 1\]and\[\angle 2\]are complementary angles\[\angle 2\]and \[\angle 3\] are supplementary angles. If \[\angle 1=45{}^\circ ,\] then \[\angle 3\] measures |
| A. | \[145{}^\circ \] |
| B. | \[135{}^\circ \] |
| C. | \[45{}^\circ \] |
| D. | \[150{}^\circ \] |
| Answer» C. \[45{}^\circ \] | |
| 1036. |
If \[\angle A=(4x+2){}^\circ ,\] the measure of the complementary of\[\angle A\]is equal to |
| A. | \[\left( 178+4x \right){}^\circ \] |
| B. | \[\left( 88-4x \right){}^\circ \] |
| C. | \[\left( 4x+88 \right){}^\circ \] |
| D. | \[\left( 6x-178 \right){}^\circ \] |
| Answer» C. \[\left( 4x+88 \right){}^\circ \] | |
| 1037. |
The measure of angle P and thrice its supplement differ by \[\mathbf{20{}^\circ ,}\] then\[\angle \,\mathbf{P}\] can be _________. |
| A. | \[100{}^\circ \] |
| B. | \[120{}^\circ \] |
| C. | \[140{}^\circ \] |
| D. | \[130{}^\circ \] |
| E. | None of these |
| Answer» D. \[130{}^\circ \] | |
| 1038. |
Two complementary angles are in the ratio \[7:8\] the angles are |
| A. | \[30{}^\circ ,\,\,60{}^\circ \] |
| B. | \[40{}^\circ ,\,\,50{}^\circ \] |
| C. | \[42{}^\circ ,\,\,48{}^\circ \] |
| D. | \[27{}^\circ ,\,\,63{}^\circ \] |
| Answer» D. \[27{}^\circ ,\,\,63{}^\circ \] | |
| 1039. |
Which congruence condition, if any can be used to prove the given triangles congruent? |
| A. | SSS |
| B. | SAS |
| C. | AAS |
| D. | None of these |
| Answer» C. AAS | |
| 1040. |
In the figure shown, BC is produced to D. Find the value of\[\mathbf{x}\text{ }+\text{ }\mathbf{y}\]. |
| A. | \[135{}^\circ \] |
| B. | \[140{}^\circ \] |
| C. | \[145{}^\circ \] |
| D. | \[130{}^\circ \] |
| E. | None of these |
| Answer» B. \[140{}^\circ \] | |
| 1041. |
If triangle PQR is congruent to triangle UVW then value of\[x\]is |
| A. | \[50{}^\circ \] |
| B. | \[60{}^\circ \] |
| C. | \[80{}^\circ \] |
| D. | \[70{}^\circ \] |
| Answer» D. \[70{}^\circ \] | |
| 1042. |
In a regular polygon of n sides (where n < 10). How many such polygons are possible if each of its interior angles is obtuse angle? |
| A. | 4 |
| B. | 5 |
| C. | 7 |
| D. | 6 |
| E. | None of these |
| Answer» C. 7 | |
| 1043. |
In the given figure, PQR is an isosceles right triangle. Find the value of\[\mathbf{x}{}^\circ \]. |
| A. | \[75{}^\circ \] |
| B. | \[125{}^\circ \] |
| C. | \[135{}^\circ \] |
| D. | \[145{}^\circ \] |
| E. | None of these |
| Answer» D. \[145{}^\circ \] | |
| 1044. |
The angles (in order) of a quadrilateral are in the ratio\[\mathbf{3}:\mathbf{4}:\mathbf{5}:\mathbf{6}\]. The quadrilateral is a _________. |
| A. | parallelogram |
| B. | trapezium |
| C. | kite |
| D. | rhombus |
| E. | None of these |
| Answer» C. kite | |
| 1045. |
In the given figure how much angle a is greater than angle b. |
| A. | \[26{}^\circ \] |
| B. | \[28{}^\circ \] |
| C. | \[30{}^\circ \] |
| D. | \[24{}^\circ \] |
| Answer» B. \[28{}^\circ \] | |
| 1046. |
In the following figure, a hexagon is shown. Find the value of x. |
| A. | \[100{}^\circ \] |
| B. | \[89{}^\circ \] |
| C. | \[99{}^\circ \] |
| D. | \[81{}^\circ \] |
| E. | None of these |
| Answer» D. \[81{}^\circ \] | |
| 1047. |
Value of \[\angle A\] and \[\angle C\] in given triangle is |
| A. | \[40{}^\circ ,\,\,20{}^\circ \] |
| B. | \[25{}^\circ ,\,\,35{}^\circ \] |
| C. | \[30{}^\circ ,\,\,30{}^\circ \] |
| D. | \[45{}^\circ ,\,\,15{}^\circ \] |
| Answer» D. \[45{}^\circ ,\,\,15{}^\circ \] | |
| 1048. |
Value of \[x\] in the given diagram is |
| A. | \[70{}^\circ \] |
| B. | \[95{}^\circ \] |
| C. | \[110{}^\circ \] |
| D. | \[120{}^\circ \] |
| Answer» C. \[110{}^\circ \] | |
| 1049. |
In a triangle the sides (in cm) are integers and the longest side is 3cm. Find the perimeter of the triangle considering that the triangle is not an equilateral triangle. |
| A. | 6cm |
| B. | 7cm |
| C. | 8cm |
| D. | 9cm |
| E. | None of these |
| Answer» C. 8cm | |
| 1050. |
In the given figure, it is given that \[\angle A=60{}^\circ \]\[CE\parallel BA\]and\[\angle ECD=65{}^\circ .\]Then\[\angle ACB\]equals to |
| A. | \[60{}^\circ \] |
| B. | \[55{}^\circ \] |
| C. | \[70{}^\circ \] |
| D. | \[90{}^\circ \] |
| Answer» C. \[70{}^\circ \] | |