Question 1 :
If $\frac{5x}{3}-4=\frac{2x}{5}$, then the numerical value of 2x – 7 is

Question 2 :
The age of A is five years more than that of B. 5 years ago, the ratio of their ages was 3:2. Find their present ages.

Question 4 :
On dividing Rs. 200 between A and B such that twice of A’s share is less than 3 times B’s share by 200, A’s share is?

Question 5 :
If numerator is 2 less than denominator of a rational number and when 1 is subtracted from numerator and denominator both, the rational number in its simplest form is $\frac{1}{2}$. What is the rational number?

Question 6 :
State whether the statement is TRUE or FALSE : Equations where the expressions which form the equation contain only one variable and the highest power of the variable appearing in the equation is 1, are called linear equations in one variable.

Question 7 :
Kusum buys some chocolates at the rate of Rs. 10 per chocolate. She also buys an equal number of candies at the rate of Rs. 5 per candy. She makes a 20% profit on chocolates and 8% profit on candies. At the end of the day, all chocolates and candies are sold out and her profit is Rs. 240. Find the number of chocolates purchased.

Question 12 :
State whether the statement is TRUE or FALSE : In the equation 2x = 4 – x, transposing –x to LHS, we get x = 4.

Question 13 :
State whether the statement is TRUE or FALSE : Two different equations can never have the same answer.

Question 15 :
If 8x – 3 = 25 +17x, then x is a

Question 16 :
Denominator of a number is 4 less than its numerator. If 6 is added to the numerator it becomes thrice the denominator. Find the fraction.

Question 17 :
State whether the statement is TRUE or FALSE : If $\frac{x}{11}=15$, then $x=\frac{11}{15}$.

Question 18 :
The solution of the equation ax + b = 0 is

Question 19 :
State whether the statement is TRUE or FALSE : 3 years ago, the age of a boy was y years. His age 2 years ago was (y – 2) years.

Question 20 :
A steamer goes downstream and covers the distance between two ports in 3 hours. It covers the same distance in 5 hours when it goes upstream. If the stream flows at 3 km/hr, then find what is the speed of the steamer upstream?