PRACTICE QUESTIONS COMPETITION WING

If the ordered pair satisfying the equations $a_{1}x + b_{1}y+c_1=0$ and $a_{2}x + b_{2}y+c_2 =0$ has $1$ as its first coordinate, then which of the following is correct?

If $x, y$ and $z$ are three non-zero numbers such that $x + y \le z - x, y + z \le x - y$ and $z + x\le y-z$, then the maximum value of $x+y+z$ is

Mahesh has certain number of problems with him. He can solve some fixed number of problems every hour. After solving for $5 hr$, he is left with $384$ problems. If he had solved for $10 hr$, he is left with $144$ problems to solve. Find the number of problems with Mahesh initially.

 The solution set of the inequation $\frac{2x}{2x+5}<1$ is _____.

Ajay and Vijay have $25$ chocolates in total. If Ajay gives $3$ chocolates to Vijay, then the number of chocolates with them is in the ratio $2: 3$. Find the number of chocolates with Ajay and Vijay, respectively.

There are some four-wheelers and six-wheelers in a garage. The total number of wheels of these vehicles is $120$. The number of four-wheelers is $3/2$ times the number of six-wheelers. Find the number of six- wheelers in the garage.

There are 50 questions in a test. Each correct answer fetches 2 marks and for each wrong answer 1/4th mark is deducted. A person got 73 marks and he attempted all the questions. Find the number of questions he answered wrongly.

 The sum of $\frac{3}{4}th$ of A's salary and ${\frac{5}{3}}^{rd}$ of B's salary is $₹16,000$. The difference of their salaries is $₹2000$. If $B\text{'}s$ salary is less than that of $A$, then what is the salary of $B$ ?