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Home » GAT Subject » Mathematics » Aptitude Test - 40
1.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_________?
A. 20 m
B. 60 m
C. 40 m
D. 20 m
2.The side of a square is increased by 25% then how much % does its area increases?
A. 52.65
B. 56.25
C. 50.75
D. 52.65
3.The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is_________?
A. 8 m
B. 10 m
C. 6 m
D. 8 m
4.The perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. Find its area?
A. 260 cm2
B. 240 cm2
C. 280 cm2
D. 260 cm2
5.The diagonals of a rhombus are 15 cm and 20 cm. Find its area?
A. 120 sq m
B. 300 sq m
C. 150 sq m
D. 120 sq m
6.The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is_______?
A. 529 sq m
B. 240 sq m
C. 260 sq m
D. 529 sq m
7.The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area?
A. 27.50%
B. 37.50%
C. 47.50%
D. 27.50%
8.The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?
A. Remains same
B. 5% decrease
C. 5% increase
D. Remains same
9.A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
A. Rs.3600
B. Rs.3700
C. Rs.3800
D. Rs.3600
10.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?
A. 675, Rs.1350
B. 575, Rs.1350
C. 1350, Rs.675
D. 675, Rs.1350
11.The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
A. 432 sq m
B. 356 sq m
C. 452 sq m
D. 432 sq m
12.The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
A. Rs.1014
B. Rs.1140
C. Rs.999
D. Rs.1014
13.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?
A. Rs.700
B. Rs.1200
C. Rs.1400
D. Rs.700
14.The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the fielWhat is the length of the field?
A. 31 m
B. 32 m
C. 16 m
D. 31 m
15.Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
A. 425
B. 476
C. 450
D. 425
16.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?
A. 99
B. 90
C. 95
D. 99
17.Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is_______?
A. Rs.150
B. Rs.100
C. Rs.125
D. Rs.150
18.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________?
A. 11 m
B. 12 m
C. 13 m
D. 11 m
19.One side of a rectangular field is 4 m and its length along diagonal is 5 m. What is the area of the field?
A. 12 sq m
B. 4?14 sq m
C. 20 sq m
D. 12 sq m
20.A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be________?
A. 12 m, 10 m
B. 13 m, 12 m
C. 14 m, 11 m
D. 12 m, 10 m
21.If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is________?
A. 650 m
B. 600 m
C. 200 m
D. 650 m
22.The perimeter of one square is 48 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
A. 15?2 cm
B. 13?2 cm
C. 16?2 cm
D. 15?2 cm
23.The ratio of the area of a square to that of the square drawn on its diagonal is?
A. 2:05
B. 3:04
C. 3:05
D. 2:05
24.The ratio of the area of a square to that of the square drawn on its diagonal is_________?
A. 2:05
B. 3:04
C. 3:05
D. 2:05
25.What is the perimeter of a square field whose diagonal is 8?2?
A. 64 m
B. 32 m
C. 30 m
D. 64 m
26.What is the area of a square field whose diagonal of length 20 m?
A. 300 sq m
B. 250 sq m
C. 200 sq m
D. 300 sq m
27.What is the area of square field whose side of length 15 m?
A. 225 sq m
B. 220 sq m
C. 100 sq m
D. 225 sq m
28.The base of a right triangle is 8 and hypotenuse is 10. Its area is________?
A. 12
B. 80
C. 59
D. 12
29.The altitude of an equilateral triangle of side 2?3 cm is_________?
A. 3/2 cm
B. 1/2 cm
C. 3/4 cm
D. 3/2 cm
30.The length of each side of an equilateral triangle having an area of 4?3 cm2 is_______?
A. 4/3 cm
B. 3/4 cm
C. 3 cm
D. 4/3 cm
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