The document contains various mathematical problems related to quadrilaterals, parallelograms, rhombuses, trapeziums, and polygons, along with their corresponding answers from previous years' examinations. Key problems include calculations of areas, perimeter, and the number of sides based on given conditions. The content mainly comprises questions regarding geometric relationships and properties.

1. JSTSE (Quadrilaterals)
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JSTSE PREVIOUS YEARS
(Mathematics : Quadrilaterals)
1. If P and Q are any two points lying on the sides DC and AB respectively of a
parallelogram ABCD, then ratio of ar(APB) to ar(DQC) is (2011)
(a) 2 : 3 (b) 1 : 2
(c) 2 : 1 (d) 1 : 1
Ans. (d)
2. Area of a rhombus whose one side is 13 cm and one of the diagonals is 10 cm is (2013)
(a) 36cm2
(b) 52 cm2
(c) 60 cm2
(d) 120 cm2
Ans. (d)
3. ABCD is a || gm with AB = (2x + 6) cm, BC = 8 cm and CD = (x + 8)cm. The
perimeter of || gm ABCD is (2013)
(a) 12 cm (b) 20 cm
(c) 28 cm (d) 36 cm
Ans. (d)
4. ABCD is a rhombus in which altitude from D to side AB bisects AB. Then D of the
rhombus is (2013)
(a) 60° (b) 90°
(c) 120° (d) 135°
Ans. (c)
5. If a polygon has 27 diagonals, then the number of sides of the polygon is (2014)
(a) 9 (b) 10
(c) 11 (d) 12
Ans. (a)
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2. QUADRILATERALS JSTS
6. The parallel sides of a trapezium are 24 cm and 20 cm. The distance between them is
7 cm. Find the radius of a circle whose area is equal to the area of the trapezum.
(a) 7 cm (b) 14 cm (2014)
(c) 9 cm (d) 28 cm
Ans. (a)
7. One interior angle of a regular polygon is 165°, then the number of sides of the
polygon is (2015)
(a) 15 (b) 25
(c) 24 (d) 18
Ans. (c)
8. The perimeter of a rectangle whose length is 60 cm and a diagonal is 61 cm is (2015)
(a) 120 cm (b) 242 cm
(c) 121 cm (d) 142 cm
Ans. (d)
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