For the following questions answer them individually
The average weight of 7 people increases by 5 kg when a new person comes in place of one of them weighing 55 kg. What is the weight of the new person?
Two workers A and B can complete a work in 35 days and 45 days, respectively. Initially, both A and B started working together. However. A left after some days and B alone completed the remaining work in 29 days. Find the number of days that A and B worked together.
In a contest, a participant secured 30 percent but failed to proceed to the next round by 30 points. Another candidate securing 30 points more than the qualifying marks secured 45 percent. What is the qualifying point in the contest?
Find the volume of a cylinder with radius as 7 cm and height as 10 cm. (The value of π is 22/7)
The adjacent sides of a parallelogram are 36 cm and 27 cm in length. If the perpendicular distance between shorter sides is 12 cm, then what is the perpendicular distance between the longer sides?
Which of the following statement(s) is/are correct?
I.$$\frac{3}{7}<\frac{5}{9}<\frac{7}{11}$$
II.$$\sqrt{6}>\sqrt[3]{12}$$
Which of the following statement is correct?
I. If amount = Rs. 26500, time = 5 years, and rate of interest = 16.5 percent per annum, then the principal is Rs. 14000 on simple interest.
II. If principal = Rs. 22000, amount = Rs. 39160 and time = 6 years, then at simple interest rate of interest is 13 percent per annum.