
Let x be the number and y be the quotient. Then,
x = 357 x y + 39
= (17 x 21 x y) + (17 x 2) + 5
= 17 x (21y + 2) + 5)
Required remainder = 5.
A software company has decided to recruit engineers. The following criteria is to be applied. A candidate must
(i) be an engineering graduate with at least 60% marks in graduation and 80% marks in HSC.
(ii) have work experience of minimum 1 year.
(iii) be ready to sign a bond of three years.
(iv) not be more than 28 years and not less than 21 years as on 1.2.2017.
However, if the candidate fulfils all the above criteria except
(a) (i), but has obtained 50% in graduation and 70% in HSC and has at least three years, experience of working, the case may be referred to the Director.
(b) (iii), but is willing to pay an amount of ?1 lakh if he is required to leave, the case may be referred to the President.
(c) (ii), but is a computer engineer, the case is to be referred to the DGM.
In each question below are given details of one candidate. You have to take one of the following courses of action based on the information provided and the conditions and sub-conditions given above and mark the number of that course of action as your answer. The reference date is 1.2.2017. You are not to assume anything other than the information provided in each question.
Rohit is 26 years old and has been working in a software company for the past three years. He has scored 74% and 81% marks in HSC and graduation respectively. He is willing to sign a bond with the company.
Suppose the vessel initially contains 8 litres of liquid.
Let x litres of this liquid be replaced with water.
| Quantity of water in new mixture = | ![]() | 3 - | 3x | + x | ![]() | litres |
| 8 |
| Quantity of syrup in new mixture = | ![]() | 5 - | 5x | ![]() | litres |
| 8 |
![]() | ![]() | 3 - | 3x | + x | ![]() | = | ![]() | 5 - | 5x | ![]() |
| 8 | 8 |
5x + 24 = 40 - 5x
10x = 16
x = | 8 | . |
| 5 |
| So, part of the mixture replaced = | ![]() | 8 | x | 1 | ![]() | = | 1 | . |
| 5 | 8 | 5 |
