AREA AND PERIMETER (CDS)

Total Questions: 116

91. The area of a rhombus with side 13 cm and one diagonal 10 cm will be [2015 (I) Morning Shift]

Correct Answer: (c) 120 square cm
Solution:Given, a side of rhombus (a)= 13 cm and a diagonal of rhombus (d₁) = 10 cm


92. Two circles, each of radius r, with centres P and Q are such that each circle passes through the centre of the other circle. Then, the area common to the circles is less than one-third of the sum of the areas of the two circles by [2015 (I) Morning Shift]

Correct Answer: (c)
Solution:Given, radius of two circles be r.


93. The sides of a triangle are 25 cm, 39 cm and 56 cm. The perpendicular from the opposite vertex on the side of 56 cm is [2015 (I) Morning Shift]

Correct Answer: (c) 15 cm
Solution:Let the three sides of a triangle be a, b and c, respectively.


94. From a circular piece of cardboard of radius 3 cm, two sectors of 40° each have been cut off. The area of the remaining portion is [2015 (I) Morning Shift]

Correct Answer: (b) 22 sq cm
Solution:Given, radius of circle, r = 3 cm

95. Three equal circles each of diameter d are drawn on a plane in such a way that each circle touches the other two circles. A big circle is drawn in such a manner that it touches each of the small circles internally. The area of the big circle is [2015 (I) Morning Shift]

Correct Answer: (d)
Solution:Given, diameter of each circle = d, ∴ Radius of each circle = d/2,



96. The sides of a triangular field are 41 m, 40 m and 9 m. The number of rose beds that can be prepared in the field if each rose bed, on an average, needs 900 sq cm space, is [2015 (I) Morning Shift]

Correct Answer: (a) 2000
Solution:Let the sides of a triangular field be a, b and c, respectively.

97. The ratio of the outer and inner perimeters of a circular path is 23 : 22. If the path is 5 m wide, then the diameter of the inner circle is [2015 (I) Morning Shift]

Correct Answer: (c) 220 m
Solution:Let the radius of outer circle and inner circle be Rₘ and rₘ , respectively.


98. Let a, b, c be the sides of a right triangle, where c is the hypotenuse. The radius of the circle which touches the sides of the triangle is [2015 (I) Morning Shift]

Correct Answer: (a) (a + b - c) / 2
Solution:Given, a, b and c are the sides of a right triangle, where c is the hypotenuse.



99. The area of the largest triangle that can be inscribed in a semi-circle of radius r is [2015 (I) Morning Shift]

Correct Answer: (a) r²
Solution:Let the r be the radius of semi-circle. In ∆ABC, AO = OB = OC = [radius of circle]

100. Four equal-sized maximum circular plates are cut off from a square paper sheet of area 784 sq cm. The circumference of each plate is [2015 (I) Morning Shift]

Correct Answer: (d) 44 cm
Solution:Let the side of a square paper sheet be a cm.