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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.
| 301. |
The measurements of \[\Delta DEF\]are \[EF=8.4\text{ }cm,\] \[\angle E={{103}^{o}}\] and \[\angle F={{85}^{o}}\]. Which of the following is correct? |
| A. | \[\Delta DEF\] can be constructed. |
| B. | \[\Delta DEF\] is an obtuse angled triangle. |
| C. | \[\Delta DEF\] cannot be constructed. |
| D. | \[\Delta DEF\] is an acute angled triangle. |
| Answer» D. \[\Delta DEF\] is an acute angled triangle. | |
| 302. |
Which of the following can be used to construct a \[30{}^\circ \] angle? |
| A. | Construct a \[60{}^\circ \] 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. | |
| 303. |
Which type of triangle is in the classification based on angles? |
| A. | An equilateral triangle |
| B. | An isosceles triangle |
| C. | A right angled triangle |
| D. | A scalene triangle |
| Answer» D. A scalene triangle | |
| 304. |
Which of the following steps is INCORRECT while constructing \[\Delta LMA,\]right angled at M, given that \[LN=5\text{ }cm\]and\[MN=3\text{ }cm\]? Step 1. Draw MN of length 3 cm. Step 2. At M, draw MX1MN. (L should be somewhere on this perpendicular). Step 3. With N as centre, draw an arc of radius 5 cm. (L must be on this arc, since it is at a distance of 5 cm from N). Step 4. L has to be on the perpendicular line MX as well as on the arc drawn with centre N. Therefore, L is the meeting point of these two and ALMA/ is obtained. |
| A. | Only Step 4 |
| B. | Both Step 2 and Step 3 |
| C. | Only Step 2 |
| D. | None of these |
| Answer» E. | |
| 305. |
State 'T' for true and 'F' for false. (1) In a triangle, the measure of exterior angle is equal to the sum of the measure of interior opposite angles. (2) The sum of the measures of the three angles of a triangle is\[{{90}^{o}}\]. (3) A perpendicular is always at \[{{90}^{o}}\] to a given line or surface. |
| A. | (1) (2) (3) T T F |
| B. | (1) (2) (3) T F F |
| C. | (1) (2) (3) T F T |
| D. | (1) (2) (3) F T F |
| Answer» C. (1) (2) (3) T F T | |
| 306. |
How many parallel lines can be drawn passing through a point not on the given line? |
| A. | 2 |
| B. | 1 |
| C. | 3 |
| D. | 0 |
| Answer» C. 3 | |
| 307. |
Arrange the given steps in CORRECT order, while constructing \[\Delta \,PQR\]where \[PM\bot QS\]and it is given that \[QR=4.2\text{ }cm,\]\[\angle Q={{120}^{o}}\] and \[PQ=3.5\text{ }cm.\] Step 1. Now, extend RQ to S and with P as centre and with a sufficient radius, draw an arc, cutting SO at A and 8. Step 2. Along QX, set off \[QP=3.5\text{ }cm.\] Step 3. Draw a line segment \[QR=4.2\text{ }cm\]and construct\[\angle RQX={{120}^{o}}\]. Step 4. Joint PR. Step 5. Joint PC, meeting RQ product at M. Then. \[PM\bot QS\] Step 6. With A as centre and radius more than half AB, draw an arc. Now with B as centre and with the same radius draw another arc, cutting the previous arc at C. |
| A. | 1\[\to \]2\[\to \]3\[\to \]4\[\to \]5\[\to \]6 |
| B. | 4\[\to \]1\[\to \]2\[\to \]3\[\to \]5\[\to \]6 |
| C. | 2\[\to \]4\[\to \]3\[\to \]1\[\to \]5\[\to \]6 |
| D. | 3\[\to \]2\[\to \]4\[\to \]1\[\to \]6\[\to \]5 |
| Answer» E. | |
| 308. |
In which of the following cases is the construction of a triangle not possible? |
| A. | Measures of 3 sides are given. |
| B. | Measures of 2 sides and an included angle are given. |
| C. | Measures of 2 angles and a side are given. |
| D. | Measures of 3 angles are given. |
| Answer» E. | |
| 309. |
In \[\Delta ABC,\]if \[AB=7\text{ }cm,\text{ }\angle A={{40}^{o}}\]and \[\angle B={{70}^{o}}\],which criterion can be used to construct this triangle? |
| A. | ASA |
| B. | SSS |
| C. | SAS |
| D. | RHS |
| Answer» B. SSS | |
| 310. |
Which among the following is used to construct a triangle? |
| A. | The lengths of the three sides. |
| B. | The perimeter of the triangle. |
| C. | The measures of three angles. |
| D. | The names of three vertices. |
| Answer» B. The perimeter of the triangle. | |
| 311. |
Ishika has designed a small oval race track for her remote control car. Her design is shown in the figure. What is the total distance around the track? Round your answer to the nearest whole cm. |
| A. | 205 cm |
| B. | 305 cm |
| C. | 100cm |
| D. | 245cm |
| Answer» B. 305 cm | |
| 312. |
What is the breadth of a rectangular sheet of perimeter \[100\text{ }cm\] and length\[35\text{ }cm\]? |
| A. | \[35\,cm\] |
| B. | \[20\,cm\] |
| C. | \[15\,cm\] |
| D. | \[50\,cm\] |
| Answer» D. \[50\,cm\] | |
| 313. |
The lengths of the sides of a triangle are 5m, \[1.2\]decametre and 130 dm. Then its area is ____. |
| A. | \[24\,{{m}^{2}}\] |
| B. | \[30\,{{m}^{2}}\] |
| C. | \[48\,{{m}^{2}}\] |
| D. | \[40\,{{m}^{2}}\] |
| Answer» C. \[48\,{{m}^{2}}\] | |
| 314. |
The area of two circles are in the ratio \[25:36\]. Then the ratio of their circumference is ____. |
| A. | \[6:5\] |
| B. | \[3:4\] |
| C. | \[4:3\] |
| D. | \[5:6\] |
| Answer» E. | |
| 315. |
If the ratio of circumferences of two circles is \[4:9,\] what is the ratio of their areas? |
| A. | \[9:4\] |
| B. | \[16:81\] |
| C. | \[4:9\] |
| D. | \[2:3\] |
| Answer» C. \[4:9\] | |
| 316. |
Find the area of the given figure (not drawn to scale). ________ |
| A. | \[200\,c{{m}^{2}}\] |
| B. | \[94\,c{{m}^{2}}\] |
| C. | \[84\,c{{m}^{2}}\] |
| D. | \[100\,c{{m}^{2}}\] |
| Answer» E. | |
| 317. |
How many plants (approximately) will be there in a circular bed whose outer edge measures \[30\text{ }cm\] allowing \[4\text{ }c{{m}^{2}}\]for each plant? |
| A. | 18 |
| B. | 750 |
| C. | 24 |
| D. | 120 |
| Answer» B. 750 | |
| 318. |
The floor of a room measures 12 m by 10 m. A carpet is placed on the floor from wall to wall. What is the area of the carpet? |
| A. | \[120\,{{m}^{2}}\] |
| B. | \[1200\,m\] |
| C. | \[120\,m\] |
| D. | \[1200\,{{m}^{2}}\] |
| Answer» B. \[1200\,m\] | |
| 319. |
The length around a rectangular mat is \[21\text{ }m\] . If its length is \[5\text{ }m\] \[60\text{ }cm,\] what is its width? |
| A. | 4m 90 cm |
| B. | 490m |
| C. | 49m |
| D. | 49cm |
| Answer» B. 490m | |
| 320. |
Find the circumference of the semicircular region with diameter\[10\text{ }cm\]. |
| A. | \[\frac{25}{7}\,cm\] |
| B. | \[25\frac{5}{7}\,cm\] |
| C. | \[27\frac{5}{7}\,cm\] |
| D. | \[25\,cm\] |
| Answer» C. \[27\frac{5}{7}\,cm\] | |
| 321. |
The rectangle is made of 12 identical squares. It is divided into 4 parts. Which of the following 2 parts will be removed to form \[\frac{3}{12}\] of the rectangle? |
| A. | L and N |
| B. | M and O |
| C. | L and M |
| D. | M and N |
| Answer» E. | |
| 322. |
The difference between the circumference and radius of a circle is\[37\text{ }m\]. What is the circumference of the circle? |
| A. | \[7\,m\] |
| B. | \[44\,m\] |
| C. | \[154\,m\] |
| D. | \[88\,m\] |
| Answer» C. \[154\,m\] | |
| 323. |
If the perimeter of a square increases by 25%, what is the increase in its area? |
| A. | \[\frac{245}{4}%\] |
| B. | \[\frac{235}{4}%\] |
| C. | \[\frac{225}{4}%\] |
| D. | \[\frac{215}{4}%\] |
| Answer» D. \[\frac{215}{4}%\] | |
| 324. |
The diameter of a wheel of a cycle is\[70\text{ }cm\]. It moves slowly along a road. What distance will it cover in 24 complete revolutions? |
| A. | 5820cm |
| B. | 5280cm |
| C. | 5028cm |
| D. | 5082cm |
| Answer» C. 5028cm | |
| 325. |
If the perimeter of a semicircle is \[144\text{ }cm,\] what is its area? |
| A. | \[1232\,\,c{{m}^{2}}\] |
| B. | \[1223\,\,c{{m}^{2}}\] |
| C. | \[1322\,\,c{{m}^{2}}\] |
| D. | \[1323\,\,c{{m}^{2}}\] |
| Answer» B. \[1223\,\,c{{m}^{2}}\] | |
| 326. |
If the length of the diagonal of a square is \[12\sqrt{2}\,\,cm,\] what is its perimeter? |
| A. | \[38\,cm\] |
| B. | \[44\,cm\] |
| C. | \[48\,cm\] |
| D. | \[54\,cm\] |
| Answer» D. \[54\,cm\] | |
| 327. |
The figure shows a parallelogram PQRS. What is its area? |
| A. | \[100\,\,c{{m}^{2}}\] |
| B. | \[1\,\,{{m}^{2}}\] |
| C. | \[100\,\,cm\] |
| D. | \[1\,m\] |
| Answer» B. \[1\,\,{{m}^{2}}\] | |
| 328. |
The hour hand of a clock is \[4.5\text{ }cm\] long. What distance does its tip cover in 12 hours? |
| A. | \[28\,m\] |
| B. | \[336\,cm\] |
| C. | \[28.28\,cm\] |
| D. | \[12\,cm\] |
| Answer» D. \[12\,cm\] | |
| 329. |
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. \[200\text{ }m\] | |
| 330. |
A farmer had a rectangular plot measuring \[500\text{ }m\] by \[100\text{ }m\]. If he fences the plot 4 times with barbed wire, what length of wire was used? |
| A. | \[4800\,m\] |
| B. | \[1000\,m\] |
| C. | \[300\,m\] |
| D. | \[1200\,m\] |
| Answer» B. \[1000\,m\] | |
| 331. |
In the given figure (not drawn to scale), B, D, F and Hare the midpoints AC, CE, EG and A respectively. Find the area of the shaded portion, if AGEC is a square of area \[100\,c{{m}^{2}}\] |
| A. | \[25\,c{{m}^{2}}\] |
| B. | \[50\,c{{m}^{2}}\] |
| C. | \[35\,c{{m}^{2}}\] |
| D. | \[75\,c{{m}^{2}}\] |
| Answer» B. \[50\,c{{m}^{2}}\] | |
| 332. |
The circular grass lawn of radius \[35\text{ }m\]has a path of width \[7\text{ }m\] around it on the outside. What is the area of the path? |
| A. | \[1496\,{{m}^{2}}\] |
| B. | \[1450\,{{m}^{2}}\] |
| C. | \[1576\,{{m}^{2}}~\] |
| D. | \[1694\,{{m}^{2}}\] |
| Answer» E. | |
| 333. |
What is the area of the shaded part in the figure given that the side of square ABCD is \[90\text{ }m\] and the side of square PQRS is 100m? |
| A. | \[1900\,\,sq\,m\] |
| B. | \[2000\text{ }sq\,m\] |
| C. | \[1000\text{ }sq\,m\] |
| D. | \[2500\text{ }sq\,m\] |
| Answer» B. \[2000\text{ }sq\,m\] | |
| 334. |
ABCD is a rectangle having length \[30\text{ }cm\] and breadth \[25\,cm\]. R Q, R and S are midpoints of AB, BC, CD and AD respectively. What is the area of the shaded part? |
| A. | \[375\,{{m}^{2}}\] |
| B. | \[375\,c{{m}^{2}}\] |
| C. | \[475\,{{m}^{2}}\] |
| D. | \[425\,c{{m}^{2}}\] |
| Answer» C. \[475\,{{m}^{2}}\] | |
| 335. |
In a parallelogram ABCD, the diagonal AC measures 34 m and the perpendicular distance of AC from either of the vertices B and D is 12 m. Find area of parallelogram. |
| A. | 204sq.m |
| B. | 408sq.m |
| C. | 816sq.m |
| D. | 806sq.m |
| Answer» C. 816sq.m | |
| 336. |
Find the values of P, Q and R, (i) A circular pond is surrounded by a 2 m wide circular path. if outer circumference of circular path is 44 m then the area of the path is P . (ii) A rectangular courtyard measuring 17 m by \[9\frac{1}{2}\] is to be covered by square slabs, each of side \[\frac{1}{2}\]m. Q slabs are required to cover the courtyard. (iii) The minute hand of a circular clock is 15 cm long. The tip of the minute hand move R cm in 1 hour? (Take\[\pi =3.14\]) |
| A. | P Q R \[62.88\,{{m}^{2}}\] 348 100 |
| B. | P Q R \[75.43\,{{m}^{2}}\] 646 \[94.2\] |
| C. | P Q R \[42.87\,{{m}^{2}}\] 200 44.5 |
| D. | P Q R \[18.14\,{{m}^{2}}\] 544 79.4 |
| Answer» C. P Q R \[42.87\,{{m}^{2}}\] 200 44.5 | |
| 337. |
Which of the following statements is true? Statement 1: A saree 5.5 m long and 1.25 m wide has a zari border 2.5 cm broad along its length on either side. Along the width, on one edge the border was 5 cm wide and on the other side the zari was 25 cm wide. The area of the zari is\[5855\text{ }c{{m}^{2}}\]. Statement 2: The moon is about 384000 km from earth and its path around the earth is nearly circular. The length of path described by moon in one complete I revolution will be 2,411,520 km. \[(\pi =3.14)\] |
| A. | Only Statement-1 |
| B. | Only Statement-2 |
| C. | Both Statement-1 and Statement-2 |
| D. | Neither Statement-1 nor Statement-2 |
| Answer» C. Both Statement-1 and Statement-2 | |
| 338. |
If ABCD is a rectangle having length \[30\text{ }cm\] and breadth \[20\text{ }cm,\] E, F and G are midpoints of AB, CD and AD respectively, find the area of the unshaded part. |
| A. | \[400\,\,c{{m}^{2}}\] |
| B. | \[450\,\,c{{m}^{2}}\] |
| C. | \[375\,\,c{{m}^{2}}\] |
| D. | \[500\,\,c{{m}^{2}}\] |
| Answer» C. \[375\,\,c{{m}^{2}}\] | |
| 339. |
Match the figure in Column-l with their shaded areas given in Column-ll. Column-l Column-II (P) (1) \[54\text{ }c{{m}^{2}}\] (Q) (2) \[\text{90 }c{{m}^{2}}\] (R) (3) \[171\text{ }c{{m}^{2}}\] (S) (4) \[710\text{ }c{{m}^{2}}\] |
| A. | (P)\[\to \](3), (Q)\[\to \](1), (R)\[\to \](2), (S)\[\to \](4) |
| B. | (P)\[\to \](1), (Q)\[\to \](2), (R)\[\to \](3), (S)\[\to \](4) |
| C. | (P)\[\to \](2), (Q)\[\to \](3), (R)\[\to \](1), (S)\[\to \](4) |
| D. | (P)\[\to \](3), (Q)\[\to \](1), (R)\[\to \](4), (S)\[\to \](2) |
| Answer» E. | |
| 340. |
Find the altitude of a triangle whose base is \[24\,cm,\] and area is \[672\text{ }c{{m}^{2}}\]. |
| A. | \[48\text{ }cm\] |
| B. | \[56\text{ }cm\] |
| C. | \[46\text{ }m\] |
| D. | \[58\text{ }cm\] |
| Answer» C. \[46\text{ }m\] | |
| 341. |
A rectangular field is 112 m long and 100 m wide. Two roads, each 3 m wide are to be constructed at the centre of this field; one is parallel to the length of the field and the other is parallel to the breadth of the field. Find: (i) Area of the part of the field, not covered by the roads. (ii) Cost of constructing the road at Rs.17 per\[{{m}^{2}}\]. |
| A. | (i) (ii) \[3248\,{{m}^{2}}\] Rs.2890 |
| B. | (i) (ii) \[10573\,{{m}^{2}}\] Rs.10659 |
| C. | (i) (ii) \[16582\,{{m}^{2}}\] Rs.20480 |
| D. | (i) (ii) \[10573\,{{m}^{2}}\] Rs.1250 |
| Answer» C. (i) (ii) \[16582\,{{m}^{2}}\] Rs.20480 | |
| 342. |
Find the area of the triangle whose base is 14 dam and height is 650 cm. |
| A. | \[455\,d{{m}^{2}}\] |
| B. | \[455\text{ }da{{m}^{2}}\] |
| C. | \[455\,\,c{{m}^{2}}\] |
| D. | \[455\,\,{{m}^{2}}\] |
| Answer» E. | |
| 343. |
A floor measuring 2 m by \[1.5\text{ }m\]is to be covered with tiles measuring\[25\text{ }cm\times 25\text{ }cm\]. Find the number of tiles required to cover the floor and the cost of the tiles at Rs. 420 per dozen. |
| A. | 24, Rs.1380 |
| B. | 48, Rs. 1680 |
| C. | 48, Rs.1285 |
| D. | 24, Rs.2000 |
| Answer» C. 48, Rs.1285 | |
| 344. |
A field is in the form of a parallelogram whose base is \[420\text{ }m\] and altitude is \[3.6\] dam. Find the cost of watering the field at 10 paise per sq m. |
| A. | Rs.15120 |
| B. | Rs.1512 |
| C. | Rs.151.20 |
| D. | Rs.1512.28 |
| Answer» C. Rs.151.20 | |
| 345. |
Find the unshaded area of the given figure. |
| A. | \[111\text{ }c{{m}^{2}}\] |
| B. | \[100\text{ }c{{m}^{2}}\] |
| C. | \[183\,c{{m}^{2}}\] |
| D. | \[294\,\,c{{m}^{2}}\] |
| Answer» D. \[294\,\,c{{m}^{2}}\] | |
| 346. |
If the area of a circle is \[2464\text{ }{{m}^{2}},\] find its diameter, |
| A. | \[56\,m\] |
| B. | \[154\,m\] |
| C. | \[176\,m\] |
| D. | \[206\,m\] |
| Answer» B. \[154\,m\] | |
| 347. |
A rectangular piece of canvas measures 25 cm by 16 cm. A triangular piece, with base 14 cm and height 10 cm is cut off from the canvas. Find the area of the remaining piece. |
| A. | \[400\,c{{m}^{2}}\] |
| B. | \[120\,c{{m}^{2}}\] |
| C. | \[140\,c{{m}^{2}}\] |
| D. | \[330\,c{{m}^{2}}\] |
| Answer» E. | |
| 348. |
One side of a parallelogram is 2.4 dam and its area is 576 m2. Find the corresponding altitude. |
| A. | \[24\text{ }m\] |
| B. | \[24\text{ c}m\] |
| C. | \[24\text{ d}m\] |
| D. | \[24\text{ da}m\] |
| Answer» B. \[24\text{ c}m\] | |
| 349. |
A cow is tied to a pole, fixed to the midpoint of a side of a square field of dimensions 40 m x 40 m, by means of 14 m long rope. Find the area that the cow can graze. |
| A. | \[254\,{{m}^{2}}\] |
| B. | \[308\,{{m}^{2}}\] |
| C. | \[245\,{{m}^{2}}\] |
| D. | \[380\,{{m}^{2}}\] |
| Answer» C. \[245\,{{m}^{2}}\] | |
| 350. |
The longer side of a parallelogram is \[81\text{ }cm\]and the corresponding altitude is\[16\text{ }cm\]. If the length of shorter side is \[24\text{ }cm,\]what is the altitude corresponding to the shorter side? |
| A. | \[36\text{ }cm\] |
| B. | \[48\,cm\] |
| C. | \[54\,cm\] |
| D. | \[24\,cm\] |
| Answer» D. \[24\,cm\] | |