The HCF and LCM of two numbers are 3 and 2730 respectively. If one of the numbers is 78, find the other number.

Find the sum of all prime numbers between 10 and 90.

Average salary of Santosh and Renu is Rs 3600. If salary of Santosh and Renu is increased by 50% and 30% respectively then their total salary is increased by 35% then find salary of Renu is what percent more or less than salary of Santosh before increment?

180 m long Train A crosses Train B of 120 m in length which is running in opposite direction in $$ {60\over 11}$$ sec. If speed of train B is 20% more than that of train A, then find the time taken by both trains to cross each other, when they running in same direction?

Direction: Bar graph given below shows number of pens and pencils sold by five different shops. Read the data carefully and answer the questions.

A man invested Rs. 9600 in two equal parts on SI for T years and (T + 2) years at the rates of 12.5% p.a and 16% p.a respectively. If the man got a total interest of Rs. 4272, then find the value of T.

24 women take 14 days to complete a piece of work which can be completed by 14 men in 12 days. 18 men started working and after 5 days, 10 men left and 8 women joined them. How many days will it take them to complete the remaining work?

The perimeter of a triangle is equal to perimeter of a rectangle. Length of rectangle is 75% of side of a square and ratio of length to breadth of rectangle is 3 : 2. If difference between perimeter of square and that of rectangle is 36 cm, then find perimeter of triangle?