Explanation

• Professor: Lecture: : Doctor:  Medicine. 
• ***
• Professor delivers lectures to his students.
• Similarly, a doctor gives medicine to his patients.

Explanation

• man: machine: master: slave
• **
• The machine is made to work under the instructions of man. Similarly, a slave works under the instructions of his master.
  

Explanation

• skeleton: body: grammar: language
• ***
• Just as the skeleton forms the framework of the body, so also Grammar lays down the essentials of language
  

Explanation

There was sufficient food for 200 student for 31 days. After 27 days 120 days student left

So remaining students =200−120=80

Remaining days =31−27=4 days

Now there is sufficient food for 200 students for days. 

∵ 1 student can take the food =200×4 days

∴ 80 student can take the food = 

80

200×4

​

 =10 days

Extra days =10−4=6 days

Explanation

25man. 150kg ..30 days

45 man... 450 kg..xdays

x = 25/45x450 / 150x30 = 50 days

50 days

x=25/45x450/150x30=.50 days

Explanation

• The value of π  (pi) is an irrational number
• Meaning it is a decimal that never ends and never settles into a repeating pattern
• π (pi) is approximately 3.14159.

Last updated by NA on 20April-2026

Explanation

Total distance = 6,000+6,000=12,000 (from Lahore to Karachi, and then from Karachi to Lahore).

Total time = 22+28=50 hours.

Hence, average speed is 240 km/hr