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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.
| 2001. |
Identify the true statement. |
| A. | A triangle with 3 equal sides is isosceles. |
| B. | A triangle with a \[{{110}^{o}}\] angle is right angled. |
| C. | A triangle with 3 acute angles is acute angled. |
| D. | A triangle with 2 equal sides is equilateral. |
| Answer» D. A triangle with 2 equal sides is equilateral. | |
| 2002. |
In \[\Delta RST,\] \[R=5cm,\] and \[\angle SRT={{45}^{o}}\]and \[\angle RST={{45}^{o}}\]. Which criterion can be used to construct \[\Delta RST\] ? |
| A. | A.S.A. criterion |
| B. | S.A.S. criterion |
| C. | S.S.S. criterion |
| D. | R.H.S. criterion |
| Answer» B. S.A.S. criterion | |
| 2003. |
A triangle \[\Delta PQR\] with \[\angle Q=90{}^\circ ,\text{ }QR=4\text{ }cm\] and PR = 5 cm is constructed. What would be the measure of PQ? |
| A. | 2 cm |
| B. | 6 cm |
| C. | 7 cm |
| D. | 3 cm |
| Answer» E. | |
| 2004. |
Given \[AB=3\text{ }cm,\text{ }AC=5.2\text{ }cm,\]and \[\angle B=35{}^\circ .\text{ }\angle ABC\] cannot be uniquely constructed, with AC as base, why? |
| A. | Two sides and included angle are given. |
| B. | The other two angles are not given. |
| C. | The vertex B cannot be uniquely located. |
| D. | The vertex A coincides with the vertex C. |
| Answer» D. The vertex A coincides with the vertex C. | |
| 2005. |
A line p and a point X not on it are given. Which of the following can be used to draw a line parallel to p through X? |
| A. | Equal corresponding angles |
| B. | Congruent triangles. |
| C. | Heron's formula |
| D. | Pythagoras' theorem. |
| Answer» B. Congruent triangles. | |
| 2006. |
A line panda point X not on it are given. Which of the following is used to draw a line parallel to p through X? |
| A. | Equal corresponding angles. |
| B. | Congruent triangles. |
| C. | Angle sum property of triangles. |
| D. | Pythagoras' theorem. |
| Answer» B. Congruent triangles. | |
| 2007. |
Which property has been used to construct the triangle in question 33? |
| A. | RHS property |
| B. | SSS property |
| C. | SAS property |
| D. | ASA property |
| Answer» C. SAS property | |
| 2008. |
Given \[AB=6\text{ }cm\text{ }BC=7cm\text{ }CA=8\text{ }cm,\]which of are the following are right steps for constructing \[\Delta ABC\]. |
| A. | Step 1 is correct step 2 & 3 are wrong |
| B. | Step 2 & 3 are right step 1 is wrong |
| C. | All steps 1 to 3 are right |
| D. | None of the above. |
| Answer» D. None of the above. | |
| 2009. |
Identify the angle that is constructed after step 5 in the figure below and by joining the points O and U (where \[\overset\frown{PR}=\overset\frown{RS}=\overset\frown{ST}\] |
| A. | \[40{}^\circ \] |
| B. | \[140{}^\circ \] |
| C. | \[135{}^\circ \] |
| D. | \[150{}^\circ \] |
| Answer» E. | |
| 2010. |
\[\Delta PQR\] is constructed with all its angles measuring \[{{60}^{o}}\] each. Which of the following is correct? |
| A. | \[\Delta PQR\] is an equilateral triangle. |
| B. | \[\Delta PQR\] is isosceles triangle. |
| C. | \[\Delta PQR\] is a scalene triangle. |
| D. | \[\Delta PQR\] is a right angled triangle. |
| Answer» B. \[\Delta PQR\] is isosceles triangle. | |
| 2011. |
Identify the condition when a triangle can be constructed? |
| A. | One side and two acute angles are given. |
| B. | A side and an acute angle are given |
| C. | Two obtuse angles are given. |
| D. | All given sides are equal. |
| Answer» B. A side and an acute angle are given | |
| 2012. |
Which of the following is NOT constructed using a ruler and a set square? |
| A. | A perpendicular to a line from a point not on it. |
| B. | A perpendicular bisector of a line segment. |
| C. | A perpendicular to a line at a point on the line. |
| D. | A line parallel to a given line through a given point. |
| Answer» C. A perpendicular to a line at a point on the line. | |
| 2013. |
Which of the following can be used to construct a \[{{30}^{o}}\] angle? |
| A. | Construct a \[{{60}^{o}}\] angle using compasses and bisect it. |
| B. | Construct a perpendicular bisector of a line segment. |
| C. | Construct the bisector of any angle. |
| D. | Construct an angle congruent to any given angle. |
| Answer» B. Construct a perpendicular bisector of a line segment. | |
| 2014. |
The measurements of \[\Delta DEF\] are \[EF=8.4\text{ }cm,\] \[\angle E=100{}^\circ \] and \[\angle F=82{}^\circ \] Which of the following is correct? |
| A. | \[\Delta \text{ }DEF\] can be constructed. |
| B. | \[\Delta \text{ }DEF\] is an obtuse angled triangle. |
| C. | \[\Delta \text{ le}\] cannot be constructed |
| D. | \[\Delta \text{ }DEF\] is an acute angled triangle. |
| Answer» D. \[\Delta \text{ }DEF\] is an acute angled triangle. | |
| 2015. |
Which type of triangle is in the classification based on angles only? |
| A. | An equilateral triangle |
| B. | A scalene triangle |
| C. | A right angled triangle |
| D. | An isosceles triangle |
| Answer» D. An isosceles triangle | |
| 2016. |
Arrange the steps marked (i) to (v) In CORRECT order while constructing a line parallel to a given line, through a point not on the line using ruler and compasses only. Step 1. Take a line 'l' and a point ?A? outside ?l?. Step 2. Take any point Son l and join 8 to A (i) Now with A as centre and the same radius as in previous step, draw an arc EF cutting AB at G. (ii) With the same opening as in previous step and with G as centre, draw an arc cutting the arc EF at H. (iii) With B as centre and a convenient radius, draw an arc cutting l at C and BA at D, (iv) Now, join AH to draw a line W. |
| A. | (i)\[\to \](ii)\[\to \](iv)\[\to \](iii) |
| B. | (iii)\[\to \](i)\[\to \](ii)\[\to \](iv) |
| C. | (iii)\[\to \](ii)\[\to \](i)\[\to \](iv) |
| D. | (i)\[\to \](ii)\[\to \](iii)\[\to \](iv) |
| Answer» C. (iii)\[\to \](ii)\[\to \](i)\[\to \](iv) | |
| 2017. |
Based on the sides of a triangle, which of the following is a classification of triangles? |
| A. | A right angled triangle |
| B. | An acute angled triangle |
| C. | An obtuse angled triangle |
| D. | An isosceles triangle |
| Answer» E. | |
| 2018. |
In the given figure, all triangles are equilateral and PQ = 12 units. Other triangles have been formed by taking the mid points of the sides. What is the perimeter of the figure? |
| A. | \[62.3\]units |
| B. | \[64.5\]units |
| C. | \[65.8\]units |
| D. | \[67.5\]units |
| Answer» E. | |
| 2019. |
Find the difference between the perimeters of the square and circle in the figure given. |
| A. | \[57.2\,cm\] |
| B. | \[15.6\,cm\] |
| C. | \[72.8\,cm\] |
| D. | \[52.7\,cm\] |
| Answer» C. \[72.8\,cm\] | |
| 2020. |
How many square centimetres make 1 square metre? |
| A. | 100 |
| B. | 10000 |
| C. | 1000 |
| D. | 100000 |
| Answer» C. 1000 | |
| 2021. |
The playground of school is as shown. What is the perimeter of the playground? |
| A. | \[420\text{ }m\] |
| B. | \[200\text{ }m\] |
| C. | \[220\text{ }m\] |
| D. | \[840\text{ }m\] |
| Answer» B. \[200\text{ }m\] | |
| 2022. |
If ABCD is a parallelogram, what is the ratio of areas of parallelogram ABCD and \[\Delta ABC\]? |
| A. | \[1:2\] |
| B. | \[2:1\] |
| C. | \[3:2\] |
| D. | \[2:3\] |
| Answer» C. \[3:2\] | |
| 2023. |
Two sides of a right triangle containing the right angle are \[100\text{ }cm\] and\[8.6\text{ }cm\]. Find its area. |
| A. | \[430\,sq.cm\] |
| B. | \[43\,sq.m\] |
| C. | \[430\,sq.m\] |
| D. | \[430\,\,cm\] |
| Answer» B. \[43\,sq.m\] | |
| 2024. |
State T for true and 'F' for false. (P) Length of ribbon required to cover the semicircular disc of radius 10 cm is\[51.4\text{ }cm\]. (Q) Ratio of circumference of a circle to its radius is always \[2\pi :1\]. (R) \[500\text{ }{{m}^{2}}=5\]hectares (S) If \[1\text{ }{{m}^{2}}=x\text{ }m{{m}^{2}},\] then the value of x is 100000. |
| A. | (P) (Q) (R) (S) T F F F |
| B. | (P) (Q) (R) (S) F F T F |
| C. | (P) (Q) (R) (S) T F F T |
| D. | (P) (Q) (R) (S) T T F F |
| Answer» E. | |
| 2025. |
In the given figure, ABCE is a parallelogram P is the midpoint of AD and AD 1. EC. If AD = 20 cm and EC = 18 cm, find the area of the given figure. |
| A. | \[300\text{ }c{{m}^{2}}\] |
| B. | \[280\text{ }c{{m}^{2}}\] |
| C. | \[270\text{ }c{{m}^{2}}\] |
| D. | \[290\text{ }c{{m}^{2}}\] |
| Answer» D. \[290\text{ }c{{m}^{2}}\] | |
| 2026. |
The length and the breadth of a rectangular piece of land are \[400\text{ }m\] and \[250\text{ }m\] respectively. What is the cost of the land at Rs. 1000 per square metre? |
| A. | Rs.10 lakhs |
| B. | Rs.1 crore |
| C. | Rs.10 crores |
| D. | Rs.10 thousands |
| Answer» D. Rs.10 thousands | |
| 2027. |
Find the circumference of the circle that is within a square if the area of the square is\[81\text{ }c{{m}^{2}}\]. \[\left( Take\,\,\pi =\frac{22}{7} \right)\] |
| A. | \[7\frac{2}{7}\,cm\] |
| B. | \[14\frac{2}{7}\,cm\] |
| C. | \[28\frac{2}{7}\,cm\] |
| D. | \[63\frac{9}{14}\,cm\] |
| Answer» D. \[63\frac{9}{14}\,cm\] | |
| 2028. |
The perimeter of the three squares are 12 cm, 16 cm and 10 cm respectively. The side of a square whose area is equal to the sum of the areas of first two squares would be: |
| A. | 4cm |
| B. | 5cm |
| C. | 5.5cm |
| D. | 6cm |
| Answer» C. 5.5cm | |
| 2029. |
DIRECTIONS: The questions in this segment consists of two statements, one labelled as "Assertion A" and the other labelled as "Reason R". You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: Area of a rhombus shaped field, whose each of the sides is 14 cm and the altitude is 1.6 dm, is 22\[\text{c}{{\text{m}}^{2}}\]. Reason: Area of rhombus = Base\[\times \]Altitude |
| A. | If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. |
| B. | If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. |
| C. | If Assertion is correct but Reason is incorrect. |
| D. | If Assertion is incorrect but Reason is correct. |
| Answer» E. | |
| 2030. |
The area of shape given below is |
| A. | \[20\,c{{m}^{2}}\] |
| B. | \[19.9\,c{{m}^{2}}\] |
| C. | \[18\,c{{m}^{2}}\] |
| D. | \[17\,c{{m}^{2}}\] |
| Answer» C. \[18\,c{{m}^{2}}\] | |
| 2031. |
DIRECTIONS: Passage ? 2 Read the passage(s) given below and answer the questions that follow A rectangular park is of dimensions 90 m by 80 m. Four paths pass through the park such that two paths each of width 2m are parallel to the breadth and two paths each of width 3 m are parallel to the length. Total area of the two roads along the breadth is |
| A. | \[320\,{{m}^{2}}\] |
| B. | \[160\,{{m}^{2}}\] |
| C. | \[230\,{{m}^{2}}\] |
| D. | \[270\,{{m}^{2}}\] |
| Answer» B. \[160\,{{m}^{2}}\] | |
| 2032. |
The difference between the length and breadth of a rectangle is 23 m. If the perimeter is 206 m then the area is |
| A. | \[1520\,{{m}^{2}}\] |
| B. | \[2520\,{{m}^{2}}\] |
| C. | \[2420\,{{m}^{2}}\] |
| D. | None of these |
| Answer» C. \[2420\,{{m}^{2}}\] | |
| 2033. |
Which of the following statement (s) is/are true about the area of a circle? (i) Area of a circle is equal to four times the area of a quadrant of same radius. (ii) Area of a circle cannot be divided into two equal parts. (iii) If the measure of diameter of a circle is given we can determine its area. |
| A. | i and ii |
| B. | i and iii |
| C. | i, ii and iii |
| D. | None of the above |
| Answer» C. i, ii and iii | |
| 2034. |
DIRECTIONS: Passage ? 2 Read the passage given below and answer the questions that follow A piece of wire in the form of a rectangle 9 cm long and 6 cm broad is reshaped and bent into the form of circle. Circumference of the circle is |
| A. | 15 cm |
| B. | 12 cm |
| C. | 18 cm |
| D. | 30 cm |
| Answer» E. | |
| 2035. |
Consider the following statements (i) Circumference C of a circle of radius r given by\[C=2\pi r.\] (ii) Circumference C of a circle of radius r given by\[\pi {{r}^{2}}.\] (iii) Area of a circle of radius r is given by \[A=\pi {{r}^{2}}.\] Which of the statement is/are correct? |
| A. | only (i) and (ii) |
| B. | only (ii) and (iii) |
| C. | only (iii) and (i) |
| D. | all are correct |
| Answer» D. all are correct | |
| 2036. |
DIRECTIONS: Match Column-I with Column-Hand select the correct answer using the codes given below the columns. A B C D E |
| A. | 4 3 5 2 1 |
| B. | 3 4 1 5 2 |
| C. | 3 4 5 1 2 |
| D. | 3 5 4 1 2 |
| Answer» D. 3 5 4 1 2 | |
| 2037. |
If the length of a rectangle is increased by 50% and its breadth is decreased by 25%, what is the change percent in its area? |
| A. | 12.5% increase |
| B. | 10% increase |
| C. | 25% increase |
| D. | 20% increase |
| Answer» B. 10% increase | |
| 2038. |
In the shown figure, a circle is inscribed in a square whose one of the side is 14cm. Find the area of the shaded part as shown in the figure, |
| A. | \[38c{{m}^{2}}\] |
| B. | \[42\text{ }{{m}^{2}}\] |
| C. | \[48\text{ }c{{m}^{2}}\] |
| D. | \[\text{62 }c{{m}^{2}}\] |
| Answer» C. \[48\text{ }c{{m}^{2}}\] | |
| 2039. |
In the given figure, all line segments of the shaded portion are of length and at right angles to each other. Find the area of unshaded portion |
| A. | \[225c{{m}^{2}}\] |
| B. | \[189c{{m}^{2}}\] |
| C. | \[216\text{ }c{{m}^{2}}\] |
| D. | \[289\text{ }c{{m}^{2}}\] |
| Answer» D. \[289\text{ }c{{m}^{2}}\] | |
| 2040. |
In a nursery school, play ground is 240 m In the ground a lawn 120m x 40m is kept for sitting purpose and in the remaining portion, there is 10m wide path parallel to its length and another 8m wide path parallel to its width (as shown in the figure). The remaining area is for swings. Find the area for swings in the school playground. |
| A. | \[3326{{m}^{2}}\] |
| B. | \[3360{{m}^{2}}\] |
| C. | \[2880{{m}^{2}}\] |
| D. | \[2826{{m}^{2}}\] |
| Answer» C. \[2880{{m}^{2}}\] | |
| 2041. |
The minute hand of a clock is 21cm long. How far does the tip of the minute hand moves in 45 minutes? |
| A. | 99cm |
| B. | 96cm |
| C. | 102cm |
| D. | 108cm |
| Answer» B. 96cm | |
| 2042. |
A tin sheet is in the form of a rhombus whose side is 5 cm and one of its diagonals is 8 cm. Then the cost of painting the sheet at the rate of Rs. 3.50 per\[c{{m}^{2}}\]on both of its sides is |
| A. | Rs. 84 |
| B. | Rs. 140 |
| C. | Rs. 168 |
| D. | none of these |
| Answer» D. none of these | |
| 2043. |
The perimeter of a square is.................times the length of the side. |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | None of these |
| Answer» D. None of these | |
| 2044. |
The moon is about 384000 km from earth and its path around the earth is almost circular. What will be the distance covered by the moon in one complete revolution? {Take } |
| A. | 2411520km |
| B. | 1205760 km |
| C. | 08560 Km |
| D. | 2411,420 Km |
| Answer» B. 1205760 km | |
| 2045. |
If the radii of two concentric circles are 15 cm and 13 cm respectively, then the area of the circulating ring in sq. cm will be |
| A. | 176 |
| B. | 178 |
| C. | 180 |
| D. | 200 |
| Answer» B. 178 | |
| 2046. |
Area of a right angled triangle is. If the smallest side is 5 cm long, then find the perimeter of the triangle. |
| A. | 25cm |
| B. | 35cm |
| C. | 30cm |
| D. | 40cm |
| Answer» D. 40cm | |
| 2047. |
In the shown figure, a rectangle with perimeter 338 cm is divided into seven congruent rectangles. Find the perimeter of one of the rectangles. |
| A. | 138 cm |
| B. | 118 cm |
| C. | 130 cm |
| D. | 170 cm |
| Answer» D. 170 cm | |
| 2048. |
If the side of a parallelogram are increased to four times of its original lengths, then by how much percent the perimeter of the parallelogram will increase? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» C. 4 | |
| 2049. |
If ABCD is a parallelogram, then the ratio of the areas of parallelogram ABCD and A ABC is |
| A. | 1 : 2 |
| B. | 2 : 1 |
| C. | Cannot be determined |
| D. | None of these |
| Answer» C. Cannot be determined | |
| 2050. |
If the area of a circle is\[154\text{ }{{m}^{2}}\]. Find its diameter. |
| A. | \[14\,m\] |
| B. | \[220\,m\] |
| C. | \[22\,m\] |
| D. | \[104\,m\] |
| Answer» B. \[220\,m\] | |