Ashtech

1.
A job was wrongly estimated to be completed in 10 days by x machines. By deploying 3 extra
machines, the job was completed in 12 days. If only one additional machine was used, how many
days more than that estimated would it have taken to complete the job ?

Subject : Class X Maths Topic : Linear Equation in One variable
2.
Water is pouring into a tank at a constant rate. When the tank is full, 10 pumps of equal capacity
empty the tank in 12 hrs, while 15 pumps of the same capacity empty the tank in 6 hrs. In how much
time would 25 pumps of the same capacity empty the tank, if the tank is initially full ? (All the pipes
pouring water into the tank are always open)

Subject : Class X Maths Topic : Linear Equation in One variable

Subject : Class X Maths Topic : Mensuration
4.
Two trains going on a parallel line in opposite directions take 10 seconds to cross each other. But if
they are going in the same direction the longer train crosses the shorter train in 30 seconds. If the
length of the longer train is decreased by 50%, the time taken to cross the shorter train while going in
the same direction decreases by 8 seconds. Find the time taken by the longer train to cross a tunnel
twice its length, if the difference between the length of the trains is 25 m ?

Subject : Class X Maths Topic : Linear Equation in One variable
5.
I see a bird flying away at a constant speed of 1.7568 kmph in the sky. The angle of elevation is
50. After 1/2 minute, I see the bird again and this time the angle of elevation is 45 What is the
perpendicular (horizontal) distance of the bird from me?

Subject : Class X Maths Topic : Trigonometry
6.
A hoarding is fitted above a building. The height of the building is 12 m. When I took at the lights fitted
on top of the hoarding from a nearby bus stop, the angle of elevation is and when I look at the
top of the building (terrace) from the same bus stop, the angle of elevation is . If the height of a
flat on each floor is equal to the height of the hoarding, what is the maximum number of floors in the
building ? ( )

Subject : Class X Maths Topic : Trigonometry
7.
A robber received one third of a loot as his share. He spent Rs.144 on food and drinks and then
donated half of the remained share to a temple. The balance left with thin was 1/24th of the total loot.
The robber’s share was :