Question
There are three numbers 'm', 'n' and 'o' (m < n < o)
such that 'n' is equal to the average of 'm' and 'o'. 60% of 'o' is equal to 'm' and the difference between 'n' and 'o' is 18. Find the sum of all three numbers.Solution
ATQ, 'n' = (1/2) × (m + o) Or, 2n = m + o And, 0.6o = 'm' Or, o = 5:3 Let 'o' = '5c' and 'm' = '3c' So, 2n = 3c + 5c Or, 'n' = (8c/2) Now, o - n = 18 Or, 5c - (8c/2) = 18 Or, (2c/2) = 18 Or, 'c' = 9 Required sum = 3c + {(8/2) × 9} + (5 × 9) = 27 + 36 + 45 = 108
What is the largest number that when divides 85 and 121 leaves remainders 5 and 11 respectively?
The difference between the value of the number increased by 20% and the value of the number decreased by 30% is 120. Find the number.
The ratio of Raj’s to Simran’s salary is 3: 5. If Simran’s salary is increased by 25%, her total salary becomes Rs. 54,000. What is th...
Two numbers M and N are in the ratio 8:11 respectively. If 32 is added to M, the result becomes 80% of N. Find the square of the difference between M an...
Some bags were distributed among (x + 6) students such that each student received 15 bags. If there had been 5 students more, then bags received by each...
The Indian cricket team scored 188 runs in their 20-over match against Australia. By the end of the 13th over, Australia has scored 107 runs. What is th...
Which of the following should be replaced with # in the number 12324#84 so that it becomes a multiple of 8?
If the first term is 125 and the common ratio is 2/5, then what will be the fourth term of the geometric progression (GP)?
- Determine the value that must be subtracted from 72 and 60 to make the resulting numbers in the ratio 3:2.
Relevant for Exams:
