Quantitative Aptitude - Arithmetic Ability Questions

There were 35 studentsina hostel.Ifthenumber of studentsbe increased by 7, the expenditure on food increases by Rs 42 per day while the average expenditure of studentsis reduced by Rs 1. What was the initial expenditure on food per day?

Length of two trains are 150 m and 200 m respectively and the ratio (shorter: longer) of their speed is 2 : 5. If they cross each other in opposite direction in 15 second then in what time faster train will overtake the slower train.

The cross section of a canal is in the shape of an isosceles trapezium which is 4 m wide at the bottom and 5 m wide at the top. If the depth of the canal is 2 m and it is 120 m long, what is the maximum capacity of this canal?

A can do a work in 21 days and B in 42 days. If they work on it together for 7 days, then what fraction of work is left?

Slope of the side DA of the rectangle ABCD is 5/3. What is the slope of the side AB?

What is the LCM of 64 and 56?

If 50 less had applied and 25 less selected, the ratio of selected to unselected would have been 9 : 4. So how many candidates had applied if the ratio of selected to unselected was 2 : 1.

In a circle of radius 8 cm, AB and AC are two chords such that AB = AC = 12 cm. What is the length of chord BC?