Question

1) If x+y+y=20, y+x+x=22, find x and y.
2) A rectangular courtyard is 5 m 25 cm long and 3 m 78 cm wide.It is desired to pave it with square tiles of the same size. What is the largest size of the tile that can be used? Also find the number of such tiles.
3) Area of an isosceles triangle is 48 sq. cm. If the altitudes corresponds to the base of the triangle is 8 cm, find the perimeter of the triangle.
4) Find the area of a square inscribed in a circle with radius = 21 cm
5) By what number we should multiply (-8) raised to the power -1 to obtain a product equal to 10 raised to the power -1
6)If 5 raised to the power (a+2) - 5 raised to the power (a+1) + 5 raised to the power a = 2c*5 raised to the power a, find c
7) The length and breadth of a rectangular park are in the ratio 5:2, a 2.5 meter wide path runs all around the park and has an area of 305 square meter, find the area of the park.
8) What is the change in the area of the circle whose diameter is increased by 50%
9) In triangle PQR, 3 angle P = 4 angle Q = 6 angle R, Then find all the angles of the triangle PQR.
10) Subtract 9a square - 15a + 3 from unity
11) Find the rationals between (-1 upon 2) and (1 upon 2)
12) Express two 2 Lakh in standard form
13) Evaluate:- (10 raised to the power 22 + 10 raised to the power 20)/10 raised to the power 20
10) 2 poles 15 m and 10 m tall stand on a plane ground. If the distance between their tops is 13 m, find the distance between their feet.

Answer 1

=>x+2y=20 - (1)
=>2x+y=22 - (2)

From 1 we get x=20-2y (put in eq 2)

=2(20-2y)+y=22
=40-4y+y=22
=-3y=-18
=y=-18/-3
=y=6

But ,x=20-2y
So, substituting the value of y we get,
x=20-2(6)
x=8

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