mathematics MCQs – Page 65

Practise multiple-choice questions from mathematics for competitive examinations and subject revision. Review each marked answer and report any item that may be outdated or unclear.

3201. The length of a rectangle is twice its breadth, if length is decreased by 5 cm and the breadth is increased by 5 cm. The length of the rectangle is_________?
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A. 50 cm

B. 20 cm

C. 40 cm

D. 30 cm

3202. The perimeter of circle field and a square field are equal. If the area of these square field is 12100m2, the area of a circular field will be_________?
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A. 15200Sq.m

B. 15400Sq.m

C. 15300Sq.m

D. 15500Sq.m

3203. The area of a triangle is with base 4m and height 5m?
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A. 3 sq m

B. 20 sq m

C. 10 sq m

D. 5 sq m

3204. Water flows a tank 200 x 150m through a rectangular pipe 1.5 x 1.25m at the rate at 20kmph. In what time will be water rises by 2 meters?
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A. 76 min

B. 90min

C. 96min

D. 80min

3205. The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.
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A. 2 sq m

B. 0 sq m

C. 3 sq m

D. 6 sq m

3206. What is the area of square field whose side of length 15 m?
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A. 220 sq m

B. 30 sq m

C. 100 sq m

D. 225 sq m
3207. If the base of rectangle is increased by 10 % and the area is unchanged then the corresponding altitude must be decreased by:________?
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A. 11.11%

B. 10%

C. 11%

D. 9 1/11 %
3208. The length and breadth of play ground are 36 m and 21 m respectively. Flag staffs are required to be fixed on all along the boundary at a distance of 3 m part. The number of flag staffs will be___________?
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A. 38

B. 37

C. 39

D. 40

3209. The length of a rectangle is increased by 60 %. By what percent would the width have to be decreased to maintain the same area?
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A. 60%

B. 75%

C. 37 %

D. 120%

3210. If the radius of a circle is increased to 3 times, then how many times will its circumference be increased?
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A. 9times

B. 3times

C. 1/3 times

D. 2times
3211. The wire bent in the form of a square enclose an area of 484 Sq.cm. If the same wire is bent so as to from a circle than the area enclosed will be_________?
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A. 644 Sq.cm

B. 616 Sq.cm

C. 484Sq.cm

D. 538 2/7 Sq.cm

3212. A swimming bath is 24 m long and 15 m broad. When a number of men drive into the bath. The height of water rises by 1cm. If the average volume of water displaced by each man be 0.1m3 how many mean are there in the both?
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A. 32

B. 42

C. 46

D. 36
3213. A paper is in a square form whose one side is 20 cm. Two semi circles are drawn on its opposites as diameters. If these semi circles are cut down what is the area of the remaining paper?
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A. 200? cm<sup>2</sup

B. (400 100?) cm2

C. (400 2?) cm<sup>2</sup

D. (400 200?) cm<sup>2</sup

3214. The ratio of the area of a square to that of the square drawn on its diagonal is_________?
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A. 2:05

B. 3:05

C. 3:04

D. 1:2
3215. The ratio of the area of a square to that of the square drawn on its diagonal is?
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A. 1:2

B. 3:05

C. 3:04

D. 2:05

3216. The area of a rectangle is thrice that of a square. The length of the rectangle is 40 cm and the breadth of the rectangle is (3/2) times of the square. The side of the square in cm is__________?
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A. 15

B. 20

C. 60

D. 30

3217. One side of a rectangular field is 4 m and its length along diagonal is 5 m. What is the area of the field?
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A. 4?14 sq m

B. 12 sq m

C. 20 sq m

D. 15 sq m

3218. The area of a circle is increased by 22Sq.cm when its radius is increased by 1cm. The original radius of the circle is_________?
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A. 6cm

B. 3.5 cm

C. 3 cm

D. 3.2 cm

3219. What is the area of a square field whose diagonal of length 20 m?
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A. 300 sq m

B. 250 sq m

C. 200 sq m

D. 400 sq m

3220. The perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. Find its area?
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A. 240 cm2

B. 280 cm<sup>2</sup>

C. 260 cm<sup>2</sup>

D. 220 cm<sup>2</sup>

3221. A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.10 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?
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A. Rs.1400

B. Rs.1500

C. Rs.700

D. Rs.1200
3222. A man walked 20 m to cross a rectangular field diagonally. If the length of the field is 16 cm. Find the breadth of the field is________?
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A. 11 m

B. 13 m

C. 12 m

D. 14 m

3223. How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?
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A. 95

B. 100

C. 90

D. 99
3224. The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is_________?
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A. 60 m

B. 40 m

C. 20 m

D. 80 m
3225. If the diagonal of a square is doubled. How does the area of the square change?
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A. none of the above

B. Becomes twofold

C. Becomes fourfold

D. Becomes threefold

3226. The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
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A. 50% increase

B. 25% increase

C. 75% decrease

D. 50% decrease

3227. The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?
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A. 40

B. 50

C. None of These

D. 120

3228. The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
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A. 3000

B. 4000

C. 1000

D. 2000

3229. A plot of land in the form of a rectangle has dimensions 240m x 180m. A draint 10m wide is dug all around it on the outside and the earth dug out is evenly spread over the plot increasing its surface level by 25cm. The depth of the drailent of
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A. 1.229m

B. 1.225m

C. 1.227m

D. 1.233m

3230. A rectangular carpet has an area of 120 sq.m and a perimeter of 46 m. The length of its diagonal is:_________?
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A. 20 m

B. 17 m

C. 15 m

D. 16 m

3231. he perimeter of a circle and a square field are equal. What is the diameter of the circle field if the area of the square field is 484 sq.m?
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A. 14m

B. 21m

C. 28m

D. None of these

3232. The altitude of an equilateral triangle of side 2?3 cm is_________?
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A. 1/2 cm

B. 3 cm

C. 3/2 cm

D. 3/4 cm

3233. A hall is a 15m long and 12m board. If the sum of the areas of the floor and the ceiling is equal to the areas of the 4 walls the volume of the hall is:
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A. 720 Cu.m

B. 361 Sq.cm

C. 1200 Cu.m

D. None of these

3234. A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
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A. 1350, Rs.675

B. 575, Rs.1350

C. None

D. 675, Rs.1350
3235. The base of a right triangle is 8 and hypotenuse is 10. Its area is________?
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A. 12

B. 24

C. 59

D. 80

3236. The radius of a circle is increased by 1%. Find how much % does its area increases?
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A. 2.01%

B. 1.01%

C. 3.01%

D. 5.01%

3237. The area of the largest circle that can be drawn inside a rectangle with sides 18cm and 14cm is_________?
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A. 49 Sq.cm

B. 378Sq.cm

C. 1078 Sq.cm

D. 154 Sq.cm
3238. A big rectangular plot of area 4320 Sq.m is divided into 3 square shaped smaller plots by fencing parallel to the smaller side of the plot. However, some area of land was still left as a square plot could not be formed. So 3 more square shaped plots were formed by fencing parallel to the longer side of the original plot. Such that no area of the plot was left a surplus. What are the dimensions of the original plot?
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A. 240m 18m

B. 135m 32m

C. 160m 27m

D. 120m 36m
3239. An agricultural field is in the form of a rectangle of length 20m and width 14m. A pit 6m long 3m wide and 2.5m deep is dug in a corner of the field and earth taken out of the pit is spread uniformly over. The remaining area of the field. The level of the field has raised by________?
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A. 16.17cm

B. 15.16cm

C. 17.18cm

D. 18.19m

3240. The diagonals of a rhombus are 15 cm and 20 cm. Find its area?
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A. 150 sq m

B. 120 sq m

C. 300 sq m

D. 480 sq m

3241. The length and breadth of a square are increased by 40% and 30% respectively. The area of the resulting rectangle exceeds the area of the square by:________?
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A. none of these

B. 42%

C. 82%

D. 62%

3242. If the diameter of a circle is increased by 100 % its area is increased by:_________?
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A. 400%

B. 200%

C. 100%

D. 300%
3243. The sum of the length breadth and depth of cuboid is 19cm and its diagonal is 5?5 cm its surface area is_________?
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A. None of these

B. 236 Sq.cm

C. 125 Sq.cm

D. 361 Sq.cm

3244. A rectangular courtyard 3.78min long and 5.25m broad is to be paved exactly with square tiles all of the same size. The minimum number of such tiles is_________?
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A. 440

B. 450

C. 460

D. 430

3245. A rectangular carpet has an area of 60 sq.m its diagonal and longer side together equal 5 times the shorter side. The length of the carpet is:_________?
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A. 14.5m

B. 13m

C. 12m

D. 5m

3246. The Total cost of flooring a room at Rs.8.50 per square meter is Rs.510. If the length of the room is 8km its breadth is__________?
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A. 8.5m

B. 10.5m

C. 12.5m

D. 7.5m
3247. The water in a rectangular reservoir having a base 80m by 60m is 6.5m deep.In what time can the water be amplified by a pipe of which the cross section is a square of a side 20cm if the water runs through the pipe at the rate of 15km per hour?
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A. 65hours

B. 26hours

C. 52hours

D. 42hours

3248. A rectangular tank measuring (5m x 4.5m x 2.1m) is dug in the center of the field measuring 13.5m x 2.5m. The earth dug out is speed every over the remaining portion of the field raised?
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A. 4m

B. 4.1cm

C. 4.3m

D. 4.2cm
3249. What is the perimeter of a square field whose diagonal is 8?2?
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A. 64 m

B. 32 m

C. 16 m

D. 30 m

3250. The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
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A. 428 sq m

B. 452 sq m

C. 356 sq m

D. 432 sq m