### EAMCET Maths Model Papers

1.In a 12 – storey house ten people enter a lift cabin. It is known that they will leave in groups of 2, 3 and 5 people at different stories. The number of ways they can do so if the lift does not stop upto the second storey is
a) 78 b) 112 c) 720 d) 132.

2. The sum of integers from 1 to 100 that are divisible by 2 or 5 is
a) 3000 b) 3050 c) 3600 d) 3250
Hint: Required sum =(2 + 4 + 6 + …..+100)
+(5 +10 +15 + ……100)
−(10 + 20 + …..+ 20) =3600

3. The image of the point (4,−13) with respect to the line 5x + y + 6 = 0 is
1) (−1,−14) 2) (3,4) 3) (1,2) 4) (−4,13)

4.If a straight line L is perpendicular to the line 4x − 2y = 1 and forms a triangle of area 4 square units with the coordinate axes, then the equation of the line L is
1) 2x + 4y + 7 = 0 2) 2x − 4y + 8 = 0
3) 2x + 4y + 8 = 0 4) 4x − 2y − 8 = 0

5.If the sum of the squares of the perpendicular distances of ‘p’ from coordinate axes is ‘12’ then locus of ‘p’ is
_______
1) 6 2) 13 3) – 1 4) 2

6.If the vectors pi – 2j + 5k, 2i – qj + 5k are collinear then (p,q) =
1) 0 2) 1 3) – 1 4) 2