For the following questions answer them individually
Three distinct positive integers are in arithmetic progression with integer common difference d ≥ 1. The sum of the first and the third terms is 24, and all three terms are less than 15. If the product of the three numbers is maximized, what is the value of the common difference d?
The salaries of P, Q, and R are in the ratio 2 : 3 : 5. If their respective salaries are increased by 10%, 15%, and 25%, what will the ratio of their new salaries be?
Solve and find the value of y.
$$2\times+y=8,y-z=3andx+z=5$$
The average of three numbers is 21. If two numbers are 19 and 27, the third number is:
If x is an integer such that ∣2x−5∣+∣x+1∣≤11 then how many such integer values of x are possible?
A boat covers 72 km downstream in 6 hours and upstream in 9 hours. The speed of the boat is:
Find the equation of the line perpendicular to 3y − 2x = 6 and passing through the point (−2, 1).
Find the length of a chord which is at a distance of 8 cm from the centre of a circle having a radius of 17 cm.
The number 713619 is divisible by which of the following?
From the letters of the word “STATISTICS”, how many distinct 10-letter words can be formed such that no two S’s appear consecutively?