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Home » GAT Subject » Mathematics » Aptitude Test - 42
1.The area of the largest circle that can be drawn inside a rectangle with sides 18cm and 14cm is_________?
A. 49 Sq.cm
B. 154 Sq.cm
C. 378Sq.cm
D. 49 Sq.cm
2.If the radius of a circle is increased to 3 times, then how many times will it’s circumference be increased?
A. 2times
B. 3times
C. 1/3 times
D. 2times
3.The area of a circle is increased by 22Sq.cm when it’s radius is increased by 1cm. The original radius of the circle is_________?
A. 6cm
B. 3.2 cm
C. 3 cm
D. 6cm
4.The difference between the radi of the smaller circle and the bigger circle is 7cm and the difference between the area of two circles is 1078Sq.cm Radius of the smaller circle is_________?
A. 17.5cm
B. 21cm
C. 28cm
D. 17.5cm
5.The area of a circle is 24.64Sq.m. the circumference of circle is________?
A. 14.64cm
B. 16.36m
C. 17.60m
D. 14.64cm
6.The area of a square field is 6050 Sq.m.The length of it diagonal is_________?
A. 110m
B. 112m
C. 120cm
D. 110m
7.If the side of a square is increased by 25% then it’s area is increased by_________?
A. 25%
B. 40.50%
C. 55%
D. 25%
8.The area of a rhombus in 2016 Sq.cm and its side is 65cm. The length of its diagonals are________?
A. 125cm, 35cm
B. 126cm,32cm
C. 132cm,26cm
D. 125cm, 35cm
9.The area of largest triangle that can be inscribed in a semicircle of radius R cm is__________?
A. 2R cm2
B. R2 cm2
C. 1/2 R2 cm2
D. 2R cm2
10.A typist uses a paper 30cm x 15cm.He leaves a margin at 2.5cm at the top and the bottom and 12.5cm on either side. What percentage of paper area is approximately available for typing
A. 65%
B. 70%
C. 80%
D. 65%
11.The areas of two similar triangles are 12 cm2 and 48SQ. cm .If the height of the smaller one is 2.1cm than the corresponding height of the bigger one is_________?
A. 0.525cm
B. 4.2cm
C. 80%
D. 0.525cm
12.If the height of a triangle is decreased by 40% and its base is increased by 40% what will be the effect on its area?
A. No change
B. 8%decrease
C. 16% Decrease
D. No change
13.The sides of a triangle are in the ratio ½: 1/3: ¼. If the perimeter is 52cm then the length of the smallest side is________?
A. 9cm
B. 10cm
C. 11cm
D. 9cm
14.If an area enclosed by a circle or a square or an equal triangle is the same then the maximum perimeter is possessed by_________?
A. Circle
B. Square
C. Equilateral Triangle
D. Circle
15.A circle and a rectangle have the same perimeter. The sides of the rectangle are 18cm and 26cm.What is the area of the circle?
A. 88cm2
B. 154cm2
C. 616cm2
D. 88cm2
16.If each side of a square is increased by 50% the ratio of the area of the resulting square to the area of the given square is__________?
A. 5:04
B. 9:04
C. 4:05
D. 5:04
17.If the length of a rectangle is increased by 20% and it’s breadth is decreased by 20% then it area________?
A. Increased by 4%
B. decreased by 4%
C. Decreased by 1%
D. Increased by 4%
18.If the length and width of a rectangular grand are each increased by 20% then what would be the percent increase in the area of the garden?
A. 20%
B. 24%
C. 36%
D. 20%
19.The length of a rectangular plot is increased by 25%. To keep it’s area uncharged the width of the plot should be___________?
A. Kept unchanged
B. Increased by 25%
C. Increased by 20%
D. Kept unchanged
20.The length of a rectangular plot is twice its breadth. If the area of the rectangular plot is 6075 sq.meters what is its length?
A. 45m
B. 75m
C. 135m
D. 45m
21.The perimeter of a rectangle and square are 160m each. The area of the rectangle is less than that it’s square by 100cm meters. The less than that of the square by 100 sq.meters. the length of rectangle is_?
A. 30m
B. 40m
C. 50m
D. 30m
22.The diagonal of a square is 4?2cm. The diagonal is another square whose area is double that of the first square is__________?
A. 8cm
B. 8?2cm
C. 16cm
D. 8cm
23.The largest size of bamboo that can be placed in a square of area 100 sq.meters is__________?
A. 10m
B. 14.14m
C. 20m
D. 10m
24.The area of a rectangle is 12 sq.metres and it’s length is 3 times that of it’s breadth. What is the perimeter of the rectangle?
A. 14m
B. 18m
C. 4m
D. 14m
25.The perimeter of a rectangle is 60m. If it’s length is twice its breadth then its area is__________?
A. 160m2
B. 180m2
C. 200m2
D. 160m2
26.A rectangular field has dimensions 25m by 15m. Two mutually perpendicular passage of 2m width have been left in it’s central part and grass has been grown in rest of the fielThe area under the grass is_?
A. 295m2
B. 299m2
C. 300m2
D. 295m2
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