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Given – a + b + c = 8 a² + b² + c² = 18 ab + b c+ ca = 12 then a³ + b³ +c³ –3abc = (a+ b+ c) (a² + b² + c² -ab-b c-ca) = 8 (18-12) =8 ×6=48
Some balls are to be distributed among some boys. If 6 more balls are available, each boy gets 8 balls. If 6 less balls are available, each boy gets 5 b...
Some amount was divided among A, B and C in the ratio 4:5:8. If the share of A is 32 less than share of C, then find the 1/4th of total amount (in Rs).
The numbers ‘A’, ‘B’ and ‘C’ are in the ratio 2:3:5. If the difference between the largest number ‘C’ and the smallest number ‘A’ is...
P, Q and R together started a business. Four times the investment of P equals six times the investment of Q and the capital of Q is twice that of R. Fin...
The sum of three numbers is 324. If the ratio of the first to the second is 4:5 and that of second to the third is 7:9 then the second number is?
A box contains the coins of 5p, 10p and 25p are in the ratio 3:4:6. If there is Rs. 164 in all, how many 10p coins are there?
The ratio of the first and second class fares between two railways stations is 5 : 1 and that of the number of passengers travelling by first and second...
The current heights of A, B, and C are in the ratio of 10:12:15. After one year, the height of A increases by 20%, the height of B increases by 33(1/3)%...
The speeds of the three cars are in the ratio of 2: 3: 6. The ratio of respective time taken by these cars to travel the same distance is:
The ratio of the male to female employees in the company in 2015 was 5:4, respectively. In 2016, the male employees and female employees increased by 18...
