Question
Present ages of 'Ajay' and 'Bheem' are in ratio 5:8,
respectively. Five years hence from now, Ajay's age will be 25% less than that of 'Charu'. If present age of 'Charu' is an integer and sum of present ages of 'Ajay' and 'Bheem' together is less than 110 years, then determine the maximum present age of 'Charu'.Solution
ATQ, Let the Ajay, Bheem and Charu can be defined as 'A', 'B' and 'C' respectively. Then, the present ages of 'A' and 'B' be '5x' years and '8x' years. So, age of 'C' five years hence from now = (5x + 5) ÷ 0.75 
Since, present age of 'C' is an integer, (x + 1) must be divisible by 3. (As 20 is not) So, possible values of 'x' = 2, 5, 8 and so on. At 'x' = 2, present age of 'C' = {20 X 3 ÷ 3} - 5 = 15 years And sum of ages of 'A' and 'B' = 5x + 8x = 13x = 13 X 2 = 26 years At 'x' = 5, present age of 'C' = {20 X 6 ÷ 3} - 5 = 35 years And sum of ages of 'A' and 'B' = 5x + 8x = 13x = 13 X 5 = 65 years At 'x' = 8, present age of 'C' = {20 X 9 ÷ 3} - 5 = 55 years And sum of ages of 'A' and 'B' = 5x + 8x = 13x = 13 X 8 = 104 years At 'x' = 11, present age of 'C' = {20 X 12 ÷ 3} - 5 = 75 years And sum of ages of 'A' and 'B' = 5x + 8x = 13x = 13 X 11 = 143 years Since, sum of ages of 'A' and 'B' must be less than 110, the maximum possible age of 'C' is attained at 'x' = 8. So, maximum present age of 'C' = 55 years
In the following question, four words are given, out of which only one word is correctly spelt. Find the correctly spelt word.
 In the sentence, four highlighted words are given. One of these words may be misspelt or inappropriate in the context of the sentence. Find out the w...
Choose the correctly spelt word.Â
I sit behind the counter and wait for a customer to come in and by something, but they all walk past the window as though the place were invisible.
...Select the correctly spelt word.
In the following questions four words are given in bold. One of them maybe incorrectly spelt identify the incorrectly spelt word. If all are correct ch...
When their eyes were set on a thing of beauty, they had to be possessed .
...In each group, one word is correctly spelt. Find the correct word.
In each of the questions below, a sentence is given with four words highlighted in bold in the sentence. Among these bold words, one may be wrongly spe...
The central bank has done the heavy lift in the last few months and monetary policy may well be nearing its limits in so far as its ability to influence...
