Question 1 :
The ratio of the area of a square of side $a$ and equilateral triangle of side $a$, is

Question 2 :
The angle between the external bisectors of two angles of a triangle is$\displaystyle 50^{\circ}$ then the third angle is

Question 3 :
Area of an equilateral triangle of side 'a' units can be calculated by using the formula :

Question 4 :
ABCD is a parallelogram with AB $=$ 8.3 cm and its perimeter is 25 cm. Then BC equals

Question 5 :
In parallelogram ABCD, AB $=$ (x+8) cm and CD $=$ (3x-2) Then AB equals

Question 6 :
If A, B, C, D are angles of a cyclic quadrilateral , find the value of $cos A + cos B + cos C + cos D$.

Question 7 :
In a city, the total income of all people with salary below Rs. 10000 per annum is less than the than the total income of all people with salary abvove Rs. 10000 per annum. If the salaries of people in the first group decrease by 5% and the salaries of people in the second group decrease by 5% then the average income of all people

Question 8 :
The average of five results is$46$ and that of the first four is $45$, fifth result is ?

Question 9 :
The mean of $15$ observations is $32$. Find the resulting mean. if each observation is&#160;decreased by $7$ is $25$<br/>

Question 10 :
A man whose bowling average is $12.4$, takes $5 $ wickets for $26 $ runs and there by decreases his average by $ 0.4$. The number of wickets taken by him before his last match is ?

Question 11 :
For a week, the average daily rainfall was $0.25\ cm$. There was no rainfall on Saturday. Rainfall on Sunday, Monday, Tuesday, Wednesday and Thursday was $0.4\ cm, 0.03\ cm, 0.45\ cm, 0.27\ cm $and $0.5\ cm$ respectively. What was the rainfall on Friday?

Question 12 :
Mean of $100$ observations is $45$. It was later found that two observations $19$ and $31$ were in correctly recorded as $91$ and $13$. The correct mean is?

Question 13 :
If the first and the second letters of the word MISJUDGEMENTS are interchanged with the last and the second last letters respectively, and similarly the third and the fourth letters are interchanged with the third and the fourth letters from the last respectively , and so on,then what will be the fifth letter to the right of the third letter from the left end?

Question 14 :
The radius of a sphere of lead is $8$cm. The number of spheres of radius $5$mm made by melting it will be

Question 15 :
There is water to a height of $16cm$ in a cylindrical glass jar of radius $12.5cm$. Inside the water, there is a sphere of diameter $15cm$, completely immersed. By what height will water go down, when the sphere is removed?

Question 16 :
The radius of a sphere is 9 cm It is melted and drawn into a wire of diameter 2 mm Find the lenght of the wire in meters

Question 17 :
If a solid right circular cylinder made of iron is heated to increase its radius and height by 1 p.c. each, then the volume ofthe solid is increased by

Question 18 :
Find the radius of a sphere whose surface area is $154$ cm$^{2}$.

Question 19 :
The radius of the base and height of a right circular cylinder are each increased by $20\%$. The volume of the cylinder will be increased by: