The two vowels touch each other internally. Their radii are 2 cm and 3 cm. What will be the length of the largest chord of the bigger circle outside the inner circle?

if 2sinθ + 2sin²θ = 2, then the value of 2 cos⁴θ + 2cos²θ is:

Two successive discounts of 20% and 30% are given while selling an article. What is the ratio of the marked price of the article to its selling price?

A bullet travels at 750 m/s. How long will it take to travel 1 km?

Directions : In an Institution there are 800 students. Students use different modes of transport for going to the institution and return. The given pie diagram represents the requisite data. Study the diagram carefully and answer the questions.

The number of students who do not use institute bus is 

Answer the following questions

Anshul borrowed Rs.24800 from Deepak at 8% p.a. simple interest for 4 years. He then added some more money to the borrowed sum and lent it to Rajeev for the same period at 10% p.a. If Anshul gains Rs. 5184 in the whole transaction, how much money did he add from his side?

What should come in place of the question mark '?' in the following number series?

0.25, 1.25, 4.5, ?, 70, 355

A man bought 13 articles at 70 each, 15 at 60 each and 12 at 65 each. The average price per article is