Question
Five consecutive even integers add up to 180. Find the
difference between the cube of the smallest and the square of the largest.Solution
ATQ,
x + (x+2) + (x+4) + (x+6) + (x+8) = 180
5x + 20 = 180
5x = 160
x = 32
Hence, Required difference = (32³ – 40²) = 32768 – 1600 = 31168
Kisan and Laxman started a business with the investment of Rs. 1600 and Rs. (y+200) respectively. After four months of the start of business, Mayur join...
A and B together started a business by investing their capital in the ratio of 8:7, respectively and total amount invested by them together is Rs. 1500....
'A' and 'C' started a business by investing Rs. 11,000 and Rs. 13,000, respectively. Seven months later, they invited 'B' to join the business who inves...
Three friends A, B and C entered into partnership by investing Rs. 15X, Rs. (3X + 26) and Rs. (1000 – 6X) respectively. The ratio of the time period o...
Entrepreneurs 'R' and 'M' ventured into a business together, contributing capital in the ratio of 4:3. The time periods for which 'R' and 'M' invested a...
X, Y, and Z each invested amounts of Rs. 60,000, Rs. 180,000, and Rs. 100,000 at an annual simple interest rate of 5%. The investment durations for X, Y...
Makhan Lal started a business with the capital investing Rs 18,400. After 6 months Arvind Lal invested Rs 16200. At the end of one year they made a prof...
Two people 'Anil' and 'Binod' entered into a partnership with an Starting investment of Rs.5,000 and Rs.8,000, individually. After one year, 'Anil' and ...
'A' and 'B' started a business by investing Rs. '5x' and Rs. '4x' respectively. Six months later, 'A' withdrew Rs. 200 from his investment whereas 'B' i...
A started a business with an investment of Rs.12000. After few months B joined him with an investment of Rs.15000. If at the end of the year, they share...
Relevant for Exams:
