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One diagonal and perimeter of a rhombus are 24 cm and 52 cm respectively. The area of rhombus will be? 
A) 60 cm^{2}
B) 120 cm^{2}
C) 100 cm^{2}
D) 30 cm^{2}
Correct Answer : 120 cm^{2} Explanation :
Area of the roumbus = (product of diagonals)/2 in the right angel AOB

ABCD is a square of side X cm. Its side is increased by 30%. What is the change in its area? 
A) 60%
B) 62.5%
C) 63%
D) 69%
Correct Answer : 69% Explanation : Let side = X cm increased side by 30 then, new side = 130 % of X ⇒ (130/100) *X ⇒ 1.3X cm Increase in area = (1.3*X)^{2}  (X)^{2} cm^{2} 
The sides of a triangle a, b, c are such that 2a = 3b = 4c and its perimeter is 208 cm. What is the length of the longest side? 
A) 48cm
B) 96cm
C) 64cm
D) 54cm
Correct Answer : 96cm Explanation : Let 2a = 3b = 4c = x the perimeter of a triangle is sum of its side Perimeter = 6x+4x+3x Length of the longest side = 6x = 6 x 16 = 96. 
What is the longest side of a rectangle which has a perimeter of 70 units and an area of 276 square units? 
A) 12 units
B) 18 units
C) 23 units
D) 36 units
Correct Answer : 23 units Explanation : let Length =L and Width=W Perimeter = 2(L + W) = 70 Area = WL = 276 Therefore, the sides of the rectangle are 23 and 12 
The length and breadth of a rectangular hall are 40 m and 30 m respectively. What is the distance between two opposite corners of the hall? 
A) 20 m
B) 35 m
C) 50 m
D) 40 m
Correct Answer : 50 m Explanation : Distance between two corners of hall 
The area of the base of a rectangular tank is 6500 cm^{2} and volume of water contained in it is 2.6 m^{3}. The depth of water (in metres) in the tank is 
A) 2.5
B) 3
C) 4
D) 5.5
Correct Answer : 4 Explanation : Let the depth of water be x m.Then 
The ratio of areas of two squares A and B are 4:25. If the side of the square A is 6m. Then, what is the measure of the side of square B? 
A) 256m
B) 15m
C) 12m
D) 32m^{2}
Correct Answer : 15m Explanation : area of square A= (6)²= 36 m² As given 36:x²:: 4:25 
What is the measure of the base angle of an isosceles triangle, if its vertical angle is 70°? 
A) 110°
B) 55°
C) 90°
D) 70°
Correct Answer : 55° Explanation : The sum of all the angles of a triangle must equal 180 degrees. the measure of each base angle x.then 
If 'x' units are added to the length of the radius of a circle, what is the number of units by which the circumference of the circle is increased? 
A) X B) 2π C) 2πX D) X^{2} Correct Answer : 2πX Explanation : Let the radius of the circle be r . If the radius is increased by 'X' units, the new radius will be (r + X) . The new circumference will be 2 π(r + X) = 2 πr + 2 πX 
The sides of a triangle are 30, 40 and 50 cm. Then this triangle is a? 
A) rightangled triangles B) acuteangled triangle C) obtuseangled triangle D) equilateral triangle Correct Answer : rightangled triangles Explanation : As per Pythagoras Theorem, a triangle with a right angle (an angle of 90°) has a special relationship between the lengths of its three sides. Therefore, the triangles that follow this rule will be right angled triangles. The triangle with sides 30, 40, 50 follows the Pythagorean theorem, so it is a right angle Also 30, 40 and 50 are multiples of 3, 4, and 5 which is a well known "the 345 triangle" 345 triangle: there are some rightangled triangles, where all three sides are whole numbers called Pythagorean Triangles. And the three whole number sidelengths are called a Pythagorean triple or triad. Below the list examples of Pythagorean triples 
A polygon has 44 diagonals, the number of its sides are? 
A) 9 B) 10 C) 11 D) 12 Correct Answer : 11 Explanation : Polygon: A polygon is a 2dimensional shape that is formed with straight lines. Triangles, quadrilaterals, pentagons, and hexagons are all examples of polygons. Let the side is n. because there are n sides, we have to subtract n from total number of line formed by joining two adjacent vertices of polygon. number of diagonals = ^{n}C_{2} n = n(n1)/2  n n=11 (n can not be negative) 
If the length and breadth of a rectangular plot were increased by 20 percent; then what would be the percent increase in the area of the plot? 
A) 20% B) 44% C) 26% D) 36% Correct Answer : 44% Explanation : Let the length of rectangle be x and breadth be y According to The question New Area= 6x/5 × 6y/5 = 36*xy/25 Changes in area= 36*xy/25  xy =xy* (3625 / 25) =11*xy/25 % change = (11*xy / 25)*100 / xy = 44% area would be increase 