mathematics MCQs – Page 162

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 Review each marked answer and report any item that may be outdated or unclear.

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