I am a seven-letter word but if you remove four of my letters I will have one left. What word am I?

Eight Chelsea player makes the following statements :

1. Seven of us are lying here.
2. Six of us are lying here.
3. Five of us are lying here.
4. Five of us are lying here.
5. Four of us are lying here.
6. Three of us are lying here.
7. My name is Torres.
8. My name is Lampard.

The last two are Lampard and Torres or maybe Torres and Lampard.
So can you deduce which of the last two is Lampard or Torres?

Can you find a number that lies one third of the distance between 1/3 and 2/3?

We know that the number 7 is the prime followed by a cube. Which next number is also a prime followed by a cube?

Which digit occurred maximum times between the number 1 and 1000?

Until it is measured, not known. Yet how you miss it when it has gone. What is it?

A man is found dead in his bathroom naked with blood scattered all around him. The bathroom was locked from the inside and there is no trace of any struggle. There is nothing in the bathroom except his pant with the belt still around and his shirt. Also, the medic team can't find any incision in his body that may have been the reason behind so much blood loss.

The Police department is clueless regarding this murder mystery.
Can you?

Can you count the number of triangles inside a triangle?

How many sides does a circle have?

Chocolate costs 6 rupees and a Toy costs 5 rupees. If you have 32 rupees in total, how many chocolates and how many Toys can be purchased with that amount?