It would take one machine 4 hours to complete a production order and another machine 2 hours to complete the same order. If both machine work simultaneously at their respective constant rates, the time taken to complete the same order is _______ hours.

"Indian history was written by British historians – extremely well documented and researched, but not always impartial. History had to serve its purpose : Everything was made subservient to the glory of the Union Jack. Latter-day Indian scholars presented a contrary picture."

From the text above, we can infer that :

Indian history written by British Historians _______.

Two design consultants, P and Q, started working from 8 AM for a client. The client budgeted a total of USD 3000 for the consultants. P stopped working when hour hand moved by 210 degrees on the clock. Q stopped working when the hour hand moved by 240 degrees. P took two tea breaks of 15 minutes each during her shift, but took no lunch break. Q took only one lunch break for 20 minutes, but no tea breaks. The market rate for consultants is USD 200 per hour and breaks are not paid. After paying the consultants, the client shall have USD ________ remaining in the budget.

Four people are standing in a line facing you. They are Rahul, Mathew, Seema and Lohit. One is engineer, one is a doctor, one a teacher and another a dancer. You are told that :

1. Mathew is not standing next to Seema.

2. There are two people standing between Lohit and the engineer.

3. Rahul is not a doctor.

4. The teacher and the dancer are standing next to each other.

5. Seema is turning to her right to speak to the doctor standing next to her.

Who among them is an Engineer ?