1. The radius of a circle is 14 cm and the ratio of the circumference of the circle to the perimeter of a rectangle is 22 : 23. If the breadth of the rectangle is 18 cm, then find the length of the rectangle. (In cm)
A) 26 B) 18 C) 28 D) 16 E) None
2. If the radius of the two cylinders are in the ratio 5 : 4 and heights are in the ratio of 6 : 7 respectively, then find the ratio of volume of cylinders.
A) 12 : 35 B) 25 : 37 C) 44 : 67 D) 57 : 79 E) 75 : 56
3. Ratio of the perimeter of the square to circumference of semicircle is 1 : 1 and the perimeter of semicircle is 108 m. Find the area of square. (In cm2)
A) 625 B) 841 C) 961 D) 729 E) 529
4. The respective ratio between the base and perpendicular of a right-angled triangle (T) is 3 : 4. If T’s base is equal to the side of a square of area 81cm2. What is T’s perimeter? (In cm)
A) 32 B) 36 C) 46 D) None of those given as options E) 42
5. Perimeter of a rectangle is 340 m. The length of the rectangle is 70 m more than its breadth. Find the time taken to cross it diagonally if the rate of speed is 5 m/s?
A) 26 sec B) 20 sec C) 18 sec D) 10 sec E) 30 sec
6. The side of a square, whose diagonal is 18 is equal to the length of a rectangle. If the difference between length and breadth of a rectangle is 5m, what is the area of the rectangle? (In sq.m)
A) 234 B) 276 C) 228 D) 414 E) 358
7. The length of a rectangle is 60% more than its breadth. If the sum of the length and the breadth of the rectangle is 65 cm, then what is the area of the rectangle?
A) 1600 cm2 B) 2500 cm2 C) 1560 cm2 D) 1440 cm2 E) 1000 cm2
8. The perimeter of a rectangle is 3 times the side of a square whose area is 1936 sq.m. What is the breadth of the rectangle (in m.) if the difference between its length and breadth is 17m.?
A) 26 B) 22.5 C) 29 D) 24.5 E) 27.5
9. Three spherical balls of radii 12 cm, 16 cm and R cm are melted into a sphere of radius 24cm, and then what is the value of R? (In cm)
A) 12 B) 14 C) 16 D) 18 E) 20
10. The length of a rectangle 4/3 is of its breadth. If its length is decreased by cm and breadth is increased by 3 cm. the area of the rectangle is increased by 24 cm sq. What is the length of the rectangle?
A) 18 cm B) 24 cm C) 22 cm D) 16 cm E) 20 cm
11. The circumference of the circle of radius 28 cm is 32 cm more than the perimeter of a square. Find the area of the square.
A) 1296 cm2 B) 1444 cm2 C) 1024 cm2 D) 576 cm2 E) 1225 cm2
12. Two concentric circles form a circular track if the width of the circular track is 7 m. and the circumference of the outer circle is 264 m. what is the circumference of the inner circle?
A) 210 m. B) 140 m. C) 320 m. D) 280 m. E) 220 m
13. If the area of rectangle is 120 m2, the ratio of length and breadth is 6 : 5.Then find the perimeter of circle, radius of circle is 5 m less than the length of a rectangle?
A) 66 B) 56 C) 44 D) 121 E) 60
14. The ratio between the area of a rectangle and a square is 5 : 4 respectively. If the side of the square is 8 cm., and the length of a rectangle is 10 cm., what is the breadth of the rectangle?
A) 8 cm B) 7 cm C) 9 cm D) 6 cm. E) 4 cm
Key
1-C ; 2-E ; 3-D ; 4-B ; 5-A ; 6-A ; 7-E ; 8-D ; 9-E ; 10-E ; 11-A ; 12-E ; 13-C ; 14-A
