MCQOPTIONS
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MCQOPTIONS
This section includes 1052 Mcqs, each offering curated multiple-choice questions to sharpen your 7th Class knowledge and support exam preparation. Choose a topic below to get started.
| 151. |
The diagonal of a rectangle is thrice its smaller side. Find the ratio of the length to the breadth of the rectangle. |
| A. | 3 : 1 |
| B. | \[\sqrt{3}:1\] |
| C. | \[\sqrt{2}:1\] |
| D. | \[2\sqrt{2}:1\] |
| Answer» E. | |
| 152. |
Which of the following are 2 of the 3 interior angle measurements of a triangle for which the 3rd angle is the same as one of the two given measurements? |
| A. | \[20{}^\circ ,\text{ }40{}^\circ \] |
| B. | \[40{}^\circ ,\text{ }30{}^\circ \] |
| C. | \[100{}^\circ ,\text{ }40{}^\circ \] |
| D. | \[50{}^\circ ,\text{ }60{}^\circ \] |
| Answer» D. \[50{}^\circ ,\text{ }60{}^\circ \] | |
| 153. |
\[\Delta ABC\]is isosceles and AB > AC. Which of the following must be false? |
| A. | AB = BC |
| B. | BC = AC |
| C. | y = z |
| D. | x = z |
| Answer» D. x = z | |
| 154. |
From the following figure find the value of \[x.\] |
| A. | \[40{}^\circ \] |
| B. | \[30{}^\circ \] |
| C. | \[45{}^\circ \] |
| D. | \[60{}^\circ \] |
| Answer» B. \[30{}^\circ \] | |
| 155. |
In the figure given, \[\Delta ABC\] is right triangle and \[\angle ={{40}^{o}}.\] What is the measure of\[\angle ECD?\] |
| A. | \[40{}^\circ \] |
| B. | \[50{}^\circ \] |
| C. | \[130{}^\circ \] |
| D. | \[140{}^\circ \] |
| Answer» C. \[130{}^\circ \] | |
| 156. |
A ship sails 33 km due south, and then 56 km due west. How far is it from its starting point? |
| A. | 68 km |
| B. | 56 km |
| C. | 65 km |
| D. | 58 km |
| Answer» D. 58 km | |
| 157. |
If the angles of a triangle are \[{{(2x+5)}^{o}},{{(x+20)}^{o}}\] and\[{{(2x-10)}^{o}},\]what type of a triangle is it? |
| A. | An acute angled triangle |
| B. | An obtuse angled triangle |
| C. | A right angled triangle |
| D. | An isosceles triangle |
| Answer» B. An obtuse angled triangle | |
| 158. |
ABC is a triangle in which BC is produced to D, CA is produced to\[\angle DCA={{108}^{o}},\]and \[\angle EAB={{124}^{o}}.\]What is the measure of \[\angle ABC?\] |
| A. | \[{{58}^{o}}\] |
| B. | \[{{52}^{o}}\] |
| C. | \[{{72}^{o}}\] |
| D. | \[{{68}^{o}}\] |
| Answer» C. \[{{72}^{o}}\] | |
| 159. |
A builder constructed a ramp to take material to the top of a building 12 m high. The distance between the foot of the ramp and the foot of the wall is 35 m. What is the length of the ramp? |
| A. | 26 m |
| B. | 36 m |
| C. | 46 m |
| D. | 37 m |
| Answer» E. | |
| 160. |
In the figure given, if T is the midpoint of \[\overline{QR},\]and\[\overline{PT}\]is perpendicular to\[\overline{QR},\]what is the length of\[\overline{PT}?\] |
| A. | 10 cm |
| B. | 15 cm |
| C. | 20 cm |
| D. | 25 cm |
| Answer» D. 25 cm | |
| 161. |
BCD and BEA are straight lines. Find \[\angle x.\] |
| A. | \[28{}^\circ \] |
| B. | \[86{}^\circ \] |
| C. | \[76{}^\circ \] |
| D. | \[104{}^\circ \] |
| Answer» D. \[104{}^\circ \] | |
| 162. |
Find the values of \[x\] and \[y\]in the figure given. |
| A. | \[x={{66}^{o}}\] \[y=44{}^\circ \] |
| B. | \[x={{44}^{o}}\] \[~y=66{}^\circ \] |
| C. | \[x={{46}^{o}}\] \[y=64{}^\circ \] |
| D. | \[x={{64}^{o}}\] \[y\text{ }=\text{ }46{}^\circ \] |
| Answer» E. | |
| 163. |
In the given figure, what is the value of 'c' in terms of 'a' and 'b'? |
| A. | \[180{}^\circ \text{ }-\text{ }a-b~\] |
| B. | \[a+3b-180{}^\circ \] |
| C. | \[360{}^\circ -2a-3b\] |
| D. | \[2(a+b-90{}^\circ )\] |
| Answer» D. \[2(a+b-90{}^\circ )\] | |
| 164. |
A rectangular carpet has an area of 60 sq. m. If its diagonal and longer side together equal 5 times the shorter side, find the length of the carpet. |
| A. | 5 m |
| B. | 12 m |
| C. | 13 m |
| D. | 14.5 m |
| Answer» C. 13 m | |
| 165. |
If the sides of a right triangle are\[x,x+1\]and \[x-1,\]what is the measure of its hypotenuse? |
| A. | 5 |
| B. | 4 |
| C. | 1 |
| D. | 0 |
| Answer» B. 4 | |
| 166. |
In\[\Delta PQR,\angle P-\angle Q={{18}^{o}}\]and \[\angle Q-\angle R={{12}^{o}}.\]Find all the angles of the triangle. \[\angle P\] \[\angle Q\] \[\angle R\] |
| A. | \[{{76}^{o}}\] \[{{46}^{o}}\] \[{{58}^{o}}\] |
| B. | \[{{46}^{o}}\] \[{{58}^{o}}\] \[{{76}^{o}}\] |
| C. | \[{{76}^{o}}\] \[{{58}^{o}}\] \[{{46}^{o}}\] |
| D. | \[{{46}^{o}}\] \[{{76}^{o}}\] \[{{58}^{o}}\] |
| Answer» D. \[{{46}^{o}}\] \[{{76}^{o}}\] \[{{58}^{o}}\] | |
| 167. |
In the given figure, if z = 30°, what is the value of \[x+y?\] |
| A. | \[{{60}^{o}}\] |
| B. | \[{{210}^{o}}\] |
| C. | \[{{330}^{o}}\] |
| D. | \[{{150}^{o}}\] |
| Answer» C. \[{{330}^{o}}\] | |
| 168. |
What is the measure of \[x\] in the given figure? |
| A. | 17 cm |
| B. | 15 cm |
| C. | 12 cm |
| D. | 16 cm |
| Answer» B. 15 cm | |
| 169. |
The angles of a triangle are in the ratio 1:3:5. Find the angles. |
| A. | \[60{}^\circ ,\text{ }40{}^\circ ,\text{ }80{}^\circ \] |
| B. | \[20{}^\circ ,\text{ }60{}^\circ ,\text{ }100{}^\circ \] |
| C. | \[30{}^\circ ,\text{ }90{}^\circ ,\text{ }50{}^\circ \] |
| D. | \[30{}^\circ ,\text{ }60{}^\circ ,\text{ }90{}^\circ \] |
| Answer» C. \[30{}^\circ ,\text{ }90{}^\circ ,\text{ }50{}^\circ \] | |
| 170. |
In\[\Delta ABC,BC=AC\]and\[\angle B={{72}^{o}},\]find the measures of \[\angle A\]and \[\angle C.\] |
| A. | \[\angle A={{72}^{o}},\angle C={{36}^{o}}\] |
| B. | \[\angle A={{36}^{o}},\angle C={{36}^{o}}\] |
| C. | \[\angle A={{72}^{o}},\angle C={{48}^{o}}\] |
| D. | \[\angle A={{42}^{o}},\angle C={{66}^{o}}\] |
| Answer» B. \[\angle A={{36}^{o}},\angle C={{36}^{o}}\] | |
| 171. |
In \[\Delta ABC,\angle B\]is a right angle, AC = 24 cm, D is the mid point of AC. Find the length of BD. |
| A. | 24 cm |
| B. | 12 cm |
| C. | 6 cm |
| D. | 7 cm |
| Answer» C. 6 cm | |
| 172. |
In a triangle ABC, AB + BC = 10 cm; BC + CA = 12 cm and CA + AB = 16 cm. Find the perimeter of the triangle. |
| A. | 38 cm |
| B. | 19 cm |
| C. | 76 cm |
| D. | 36 cm |
| Answer» C. 76 cm | |
| 173. |
Find the length of diagonal of a square whose area is\[~78400\text{ }c{{m}^{2}}.\] |
| A. | \[280\sqrt{2}\] |
| B. | \[28\sqrt{2}\,cm\] |
| C. | \[280cm\] |
| D. | \[280\sqrt{3}\,cm\] |
| Answer» B. \[28\sqrt{2}\,cm\] | |
| 174. |
In \[\Delta ABC,AB=BC\]and \[\overline{BD}\]bisects \[\overline{AC}.\] Which of the following cannot be concluded? |
| A. | \[AD=DC\] |
| B. | \[~w=z\] |
| C. | \[x=y\] |
| D. | \[~w=x\] |
| Answer» E. | |
| 175. |
In the figure, ACE and BCD are straight lines. Given that AB = BC = CA, find \[\angle CED.\] |
| A. | \[{{100}^{o}}\] |
| B. | \[{{120}^{o}}\] |
| C. | \[{{60}^{o}}\] |
| D. | \[{{30}^{o}}\] |
| Answer» B. \[{{120}^{o}}\] | |
| 176. |
\[\Delta ABC\]is right angled at B. Which statement is true? |
| A. | \[x+y={{180}^{o}}\] |
| B. | \[~x+y=270{}^\circ \] |
| C. | \[~x+y=300{}^\circ \] |
| D. | \[~x+y=90{}^\circ \] |
| Answer» C. \[~x+y=300{}^\circ \] | |
| 177. |
In \[\Delta ABC,3\angle A=2\angle B\]and \[2\angle A=\angle C.\] Find the angles of the triangle \[\angle A\] \[\angle B\] \[\angle C\] |
| A. | \[{{40}^{o}}\] \[{{80}^{o}}\] \[{{60}^{o}}\] |
| B. | \[{{60}^{o}}\] \[{{40}^{o}}\] \[{{80}^{o}}\] |
| C. | \[{{60}^{o}}\] \[{{80}^{o}}\] \[{{40}^{o}}\] |
| D. | \[{{40}^{o}}\] \[{{60}^{o}}\] \[{{80}^{o}}\] |
| Answer» E. | |
| 178. |
The angles of a triangle are and \[{{(x-10)}^{o}}.\] What type of a triangle is it? |
| A. | An isosceles triangle |
| B. | A scalene triangle |
| C. | A right angled triangle |
| D. | An equilateral triangle |
| Answer» D. An equilateral triangle | |
| 179. |
If the ratio of areas of two circles is 16: 25, find the ratio of their circumferences. |
| A. | 25: 16 |
| B. | 5:4 |
| C. | 4 : 5 |
| D. | 3 : 5 |
| Answer» D. 3 : 5 | |
| 180. |
Raju's office room measures 6 feet by 10 feet. His office is changed room that is 2 feet longer and 2 feet wider. How much more area will Raju have in his new office? |
| A. | 4 sq. feet |
| B. | 36 sq. feet |
| C. | 60 sq. feet |
| D. | 96 sq. feet |
| Answer» C. 60 sq. feet | |
| 181. |
Look at the figure given. Find the perimeter of the figure. |
| A. | 31 cm |
| B. | 38 cm |
| C. | 32 cm |
| D. | 30 cm |
| Answer» D. 30 cm | |
| 182. |
If the area of a semi-circular plot is\[11088\,{{m}^{2}},\] what is its perimeter? \[\left( \text{TAke}\,\pi =\frac{22}{7}. \right)\] |
| A. | 264 m |
| B. | 432 m |
| C. | 348 m |
| D. | 452 m |
| Answer» C. 348 m | |
| 183. |
Monica wanted to apply wallpaper on one wall of her living room. A roll of wallpaper covers approximetely 30 sq. feet. What is the minimum number of roots she needs to cover the entire wall excluding the window? |
| A. | 2 |
| B. | 5 |
| C. | 6 |
| D. | 7 |
| Answer» D. 7 | |
| 184. |
The area of an equilateral triangle is \[64\sqrt{3}\,sq.cm.\]Find is perimeter. |
| A. | 32 cm |
| B. | 48 cm |
| C. | 64 cm |
| D. | 72 cm |
| Answer» C. 64 cm | |
| 185. |
A bulletin board in a class is 212 cm wide and 243 cm high. What is the perimeter of the bulletin board? |
| A. | 980 cm |
| B. | 900 cm |
| C. | 1 km |
| D. | 910 cm |
| Answer» E. | |
| 186. |
Madhu voluntered to fertilize the grass in a playground in his neighbourhood. The shaded part in the figure shows the grass - covered portion. What is the area of the grass - covered portion of the playground? |
| A. | 2140 sq. feet |
| B. | 4580 sq. feet |
| C. | 6000 sq. feet |
| D. | 420 sq. feet |
| Answer» C. 6000 sq. feet | |
| 187. |
Amulya saw the picture of 4 squares in her book. Which of the given squares has an area equal to its perimeter? |
| A. | Z |
| B. | W |
| C. | X |
| D. | Y |
| Answer» E. | |
| 188. |
The figures show two play grounds in a school. The length of playground B is thrice that of playground A. What is the perimeter (in m) of playground B? |
| A. | 40 m |
| B. | 60 m |
| C. | 50 m |
| D. | 30 m |
| Answer» C. 50 m | |
| 189. |
In the given figure, area of shaded square is A. All the horizontal and vertical lines meet at 90°. All horizontal lines are of equal length. What is the area of the given figure? |
| A. | 13 A |
| B. | \[12\,{{A}^{2}}\] |
| C. | \[24\,{{A}^{2}}\] |
| D. | \[13\,{{A}^{2}}\] |
| Answer» B. \[12\,{{A}^{2}}\] | |
| 190. |
In the figure given, PQRS and TURV are rectangles. The lengths shown in the figure are in centimetres. If the perimeter of the unshaded rectangle TURV is 32 cm, find the value of\[x.\] |
| A. | 2 cm |
| B. | 4 cm |
| C. | 6 cm |
| D. | 8 cm |
| Answer» B. 4 cm | |
| 191. |
Manish bought a rectangular wooden picture frame. It has a perimeter of 130 inches and a width of 30 inches. What is the height of the picture frame? |
| A. | 35 inches |
| B. | 32 inches |
| C. | 40 inches |
| D. | 100 inches |
| Answer» B. 32 inches | |
| 192. |
Observe the laptop in the figure. What is the area of the laptop screen? |
| A. | 22 sq. inches |
| B. | 44 sq. inches |
| C. | 120 sq. inches |
| D. | 144 sq. inches |
| Answer» D. 144 sq. inches | |
| 193. |
Dinakar had a new tape roll of diameter 6 inches. After he used some of the tape, the diameter of the roll had decreased by \[\frac{1}{2}\] inch. Which of the following is closest to the circumference of the roll of tape after decrease? |
| A. | 5.5 inches |
| B. | 8. 65 inches |
| C. | 17.27 inches |
| D. | 18.84 inches |
| Answer» D. 18.84 inches | |
| 194. |
The figure given consists of two squares of sides 8 cm and 6 cm. What is the perimeter of the figure? |
| A. | 44 cm |
| B. | 42 cm |
| C. | 50 cm |
| D. | 58 cm |
| Answer» B. 42 cm | |
| 195. |
A rectangular white board in a class room is twice as long as it is wide. The area of the board is 32 sq. feet. |
| A. | 6 feet |
| B. | 4 feet |
| C. | 3 feet |
| D. | 8 feet |
| Answer» C. 3 feet | |
| 196. |
The figure given is the top view of a glass holder with a glass in it. What is the perimeter of the glass holder? |
| A. | 18 feet |
| B. | 26 feet |
| C. | 24 feet |
| D. | 30 feet |
| Answer» C. 24 feet | |
| 197. |
There are 4 semi-circular gardens on each side of a square-shaped pond of side 21 m. Find the cost of fencing the entire plot at the rate of Rs. 12.50 per metre. |
| A. | Rs 1250 |
| B. | Rs 1650 |
| C. | Rs 1050 |
| D. | Rs 1550 |
| Answer» C. Rs 1050 | |
| 198. |
The dimensions of a room are 11.2 m by 9 m. The floor of the room is to be covered by marble tiles, each measuring 24 cm. Find the total number of tiles required. |
| A. | 1750 |
| B. | 2000 |
| C. | 1425 |
| D. | 1600 |
| Answer» B. 2000 | |
| 199. |
If the perimeter of an isosceles right triangle is \[(6+3\sqrt{2})m,\]find the area of the triangle. |
| A. | \[3.2\text{ }{{m}^{2}}\] |
| B. | \[4.8\text{ }{{m}^{2}}\] |
| C. | \[~4.5\text{ }{{m}^{2}}\] |
| D. | \[6.4\text{ }{{m}^{2}}\] |
| Answer» D. \[6.4\text{ }{{m}^{2}}\] | |
| 200. |
The radius of a wheel is 0.25 m. How many revolutions will it make to travel a distance of 11 km? |
| A. | 8000 |
| B. | 9000 |
| C. | 7000 |
| D. | 6000 |
| Answer» D. 6000 | |