Mensuration
1. The perimeter of a square is equal to twice the perimeter of a rectangle of length 8 cm and breadth 7 cm. What is the circumfer3ence of a semicircle whose diameter is equal to the side of the square?
(1) 38.57 cm
(2) 23.57 cm
(3) 42.46 cm
(4) 47.47 cm
(5) None of these
2. The perimeter of a square is double the perimeter of a rectangle. The area of the rectangle is 240 cm2. What is the area of the square?
(1) 100 cm2
(2) 36 cm2
(3) 81 cm2
(4) Cannot be determined
(5) None of these
3. The circumference of two circles is 132 m and 176 m respectively. What is the difference between the area of the larger circle and the smaller circle?
(1) 1048 m2
(2) 1076 m2
(3) 1078 m2
(4) 1090 m2
(5) None of these
4. The area of a rectangle is equal to the area of a circle whose radius is 14 cm. If the breadth of the rectangle is 22 cm, what is its length?
(1) 24 cm
(2) 28 cm
(3) 26 cm
(4) Cannot be determined
(5) None of these
5. If the area of a circle is 616 cm2, what is its perimeter ?
(1) 76 cm
(2) 84 cm
(3) 96 cm
(4) 80 cm
(5) None of these
6. The cost of fencing a circular plot at the rate of Rs 15 per metre is Rs 3300. What will be the cost of flooring the plot at the rate of Rs 100 per square metre?
(1) Rs 385000
(2) Rs 220000
(3) Rs 350000
(4) Rs 260000
(5) None of these
7. An order was placed for supply of carpet of breath 3 m and the length of the carpet was 1.44 times of breadth. Subsequently the breadth and length were increased by 25 and 40 per cent respectively. At the rate of Rs 45 per square metre, what would be the increases in the cost of the carpet?
(1) Rs 1020.60
(2) Rs 398.80
(3) Rs 437.40
(4) Rs 583.20
(5) None of these
8. The area of a circle is 1386 cm2. What is the circumference of the circle?
(1) 142 cm
(2) 160 cm
(3) 130 cm
(4) 132 cm
(5) None of these
9. What will be the area of a circle with circumference equal to 22 cm?
(1) 41.2 cm2
(2) 26.4 cm2
(3) 38.5 cm2
(4) Cannot be determined
(5) None of these
10. The ratio of length to breadth of a rectangle plot is 8.5 respectively. If the breadth is 60 m less than the length, what is the perimeter of the rectangular plot ?
(1) 260 m
(2) 1600 m
(3) 500 m
(4) Cannot be determined
(5) None of these
11. The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 1728 cm2. What is the ratio of the breadth and the area of the rectangle ?
(1) 1 : 38
(2) 1 : 24
(3) 1 : 42
(4) 1 : 34
(5) None of these
12. What will be the area of a circle with circumference equal to 88 cm ?
(1) 154 cm2
(2) 44 cm2
(3) 616 cm2
(4) 512 cm2
(5) None of these
13. The circumference of a circular plot is 396 m. What is the area of the circular plot ?
(1) 9856 m2
(2) 18634 m2
(3) 12474 m2
(4) 9446 m2
(5) None of these
14. The ratio of the length and the breadth of a rectangular plot is 7 : 6. The perimeter of t he plot is 208 m. What is the area of the rectangular plot ?
(1) 2696 m2
(2) 2688 m2
(3) 2592 m2
(4) 2538 m2
(5) None of these
15. The area of a rectangle is 12 cm2 and its length is 3 times its breadth. What is the perimeter of the rectangle?
(1) 18 m
(2) 24 m
(3) 14 m
(4) 16 m
(5) None of these
16. The magnitude of the area of circle is 7 times that of its circumference. What is the circumference (in units) of the circle ?
(1) 616
(2) 132
(3) 88
(4) 44
(5) None of these
17. What would be t he cost of building a 7 m wide garden around a circular field with diameter equal to 280 m, if the cost per square metres for building the garden is Rs 21 ?
(1) Rs 156242
(2) Rs 248521
(3) Rs 111624
(4) Rs 206118
(5) None of these
Directions (Q. Nos. 18 to 120) Each of the questions below consists of a question and two statements A and B given below it. You have to decide whether the data provided in the statements are sufficient to answer the questions. Read the question and both statements and given answer
(1) if statement A is alone sufficient to answer the question
(2) if statement B is alone sufficient to answer the question
(3) if both the statements independently are sufficient to answer the question
(4) if both the statements are not sufficient answer the question
(5) if both the statements together are sufficient to answer the question but neither statement is sufficient alone
18. What is the perimeter of a semi-circle ?
A. The radius of the semi-circle is equal to half the side of a square.
B. The area of the square is 196 m2.
19. What is the area of a rectangular plot ?
A. The length of the plot is 375 m.
B. The length of the plot is thrice its breadth.
20. What is the area of a square ?
A. The side of the square is 21 cm long.
B. The perimeter of the square is 84 cm.
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