1. What is the area of a triangular field of dimensions 11m, 60m, 61m?
A) 240m2 B) 140m2 C) 330m2
D) 230m2 E) 360m2
Sol:
Ans: C
2. The area of the rectangle is 28,800m2. the ratio of the sides is 9 : 8, the perimeter of same rectangle is...
A) 680m B) 700m C) 780m
D) 580m E) 550m
Sol:
Ans: A
3. If the diagonal of a square is 36cm. What is the area of the square (in cm2)?
A) 500 B) 538 C) 600
D) 648 E) 670
Sol:
Ans: D
4. The diagonals of the rhombus are 32cm and 60cm. Its perimeter is.....
A) 136cm B)150cm C) 162cm
D) 146cm E) 156cm
Sol:
Ans: A
5. In error of 30% excess is made in calculating the side of square, the % error in its area is...
A) 72% B) 69% C) 56%
D) 48% E) 52%
Sol:
Ans: B
6. What is the radius of a circular field of area 3850m2?
A) 42m B) 35m C) 56m D) 48m E) 52m
Sol:
Ans: B
7. The perimeter of a rectangular field of length 154m and breadth 70m is...
A) 386m B) 291m C) 448m
D) 512m E) 397m
Sol: Perimeter of rectangular field = 2(l + b)
= 2(154 + 70) Þ 2(224) 448m
Ans: C
8. If the radius of a circle is increased by 12% then the area is increased by....
A) 25.44% B) 22.11% C) 32.44%
D) 31.22% E) 28.33%
Sol:
Ans: A
9. Find the length of a diagonal (in cm) of a rectangle of length 31cm and breadth 12cm?
Sol:
Ans: B
10. The area of an equilateral triangle is . Find the height of the triangle...
Sol:
Ans: D
11. The diagonal of square A whose perimeter is 60 is equal to the side of square B. What is the area of square B?
A) 400 B) 350 C) 600
D) 450 E) 550
Sol:
Ans: D
12. What is the area of trapezium with parallel sides having the lengths 14m and 18m the perpendicular distance between them is 22m?
A) 352m2 B) 442m2 C) 512m2
D) 520m2 E) 342m2
Sol:
Ans: A
13. If the diagonals of a rhombus are in the ratio 3 : 4 and its area is 1536 cm2, what is the length of the longer diagonal?
A) 15 B) 14 C) 16 D) 13 E) 18
Sol: Let the length of diagonals be 3x, 4x respectively.
Area = 1536cm2
Ans: C
14. The perimeter of square is 332 cm. Find its area.
A) 6889cm2 B) 7212cm2 C) 6432cm2
D) 7514cm2 E) 6712cm2
Sol: Perimeter = 4a = 332
Area of square = a2 = (83)2 = 6889cm2
Ans: A
15. In a triangle XYZ, XY = 29 cm, YZ = 20 cm, and ÐZ = 90°, then the area of DXYZ is:
A) 420 cm2 B) 410 cm2 C) 320 cm2
D) 210 cm2 E) 310 cm2
Sol:
Ans: D
16. What is the length of the side of equilateral triangle, if its area is 225Ö ¾ 3 sq.cm?
A) 30 cm B) 40 cm C) 55 cm
D) 60 cm E) 45 cm
Sol:
Ans: A
17. The area of parallelogram whose base is 22 cm and height is 15 cm is....
A) 520 cm2 B) 412 cm2 C) 330 cm2
D) 615 cm2 E) 372 cm2
Sol: Area of parallelogram = base × height
= 22 × 15
= 330 cm2
Ans: C
18. Area of Rhombus is 144m. If one diagonal is 16m, find the length of second diagonal.
A) 18m B) 20m C) 22m D) 16m E) 14m
Sol:
Ans: A
19. The ratio of length and breadth of a rectangle is 7 : 4 respectively. If the breadth is 87cm less than the length, what is the perimeter of the rectangle?
A) 322 cm B) 412 cm C) 538 cm
D) 638 cm E) 355 cm
Sol: Let the length and breadth be 7x and 4x
respectively.
so, 7x − 4x = 87 3x = 87
x = 29
Perimeter of rectangle = 2(l + b)
= 2(7x + 4x) 2 (11x)
22x Þ 22(29)
638 cm
Ans: D
20. Find the area of parallelogram with base is 22cm and attitude is 14cm
A) 320cm2 B) 215cm2 C) 412cm2
D) 308cm2 E) 350cm2
Sol: Area of parallelogram = base × attitude
= 22 × 14
= 308cm2
Ans: D