A man says, “I am thinking of a number. When I divide it by 3 and then add 5, my answer is twice the number I thought of”. Find the number.

When 5 is divided by a number, the result is 3 more than 7 dividedby twice the number. What is the number?

A number when divided by 4 is reduced by 21. Find the number.

Find a number such that when 5 is subtracted from 5 times the number, the result is 4 more than twice the number.

Find the square root of the complex number 18i

Find the square root of complex number -i .

Find the square root of the complex number 5+12i

Find the numbers whose : (i) product = 6 and sum =5

Between 5pm and 6pm, I looked at my watch mistaking the hour hand for the minute hand and the minute hand for the hour hand, I mistook the time to be 57 minutes earlier than the actual time. Find the number of minutes past 5 when I looked at my watch.

When the greater of the two numbers increased by 1 divides the sum of the numbers, the result is (3)/(2) . When the difference of these numbers is divided by the smaller, the result is (1)/(2) . Find the numbers .

Represent these numbers on the number line. (i) 7/4 (ii) (−5)/6