Question 2 :
A man was engaged as typist for the month of February in 2009. He was paid Rs. 500 per day but Rs. 100 per day were deducted for the days he remained absent. He received Rs. 9,100 as salary for the month. For how many days did he work?
Question 3 :
Solve 1 – (x – 2) – [(x – 3) – (x – 1)] = 0.
Question 4 :
The value of x for which the expressions 3x – 4 and 2x + 1 become equal is
Question 5 :
Convert the statement 'Adding 15 to 4 times x is 39 into an equation'.
Question 6 :
State whether the statement is TRUE or FALSE : If $\frac{15}{8}-7x=9$, then $-7x=9+\frac{15}{8}$.
Question 7 :
A steamer goes downstream from one point to another in 7 hours. It covers the same distance upstream in 8 hours. If the speed of stream be 2 km/hr, find the speed of the steamer in still water.
Question 9 :
The shifting of a number from one side of an equation to other is called
Question 10 :
The solution of the equation 3x – 4 = 1 – 2x is
Question 13 :
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 15 :
Arpita’s present age is thrice of Shilpa. If Shilpa’s age three years ago was x. Then Arpita’s present age is
Question 18 :
If $\frac{1}{2}$ is subtracted from a number and the difference is multiplied by 4, the result is 5. What is the number?
Question 19 :
The sum of four consecutive integers is 266. What are the integers?
Question 20 :
Anima left one-half of her property to her daughter, one-third to her son and donated the rest to an educational institute. If the donation was worth Rs. 1,00,000, how much money did Anima have?
Question 22 :
The volume of water in a tank is twice of that in the other. If we draw out 25 litres from the first and add it to the other, the volumes of the water in each tank will be the same. Find the volume of water in each tank.
Question 23 :
State whether the statement is TRUE or FALSE : Two different equations can never have the same answer.
Question 24 :
State whether the statement is TRUE or FALSE : x = –12 is the solution of the linear equation 5x –3(2x + 1) = 21 + x.
Question 25 :
After 18 years, Swarnim will be 4 times as old as he is now. His present age is
Question 26 :
The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 the and denominator is decreased by 1, then expression for new denominator is
Question 27 :
If $\frac{5x}{3}-4=\frac{2x}{5}$, then the numerical value of 2x – 7 is
Question 29 :
Two equal sides of a triangle are each 4m less than three times the third side. Find the dimensions of the triangle, if its perimeter is 55m.
Question 30 :
State whether the statement is TRUE or FALSE : Sum of the ages of Anju and her mother is 65 years. If Anju’s present age is y years then her mother’s age before 5 years is (60 – y) years.
Question 33 :
Distance between two stations A and B is 690 km. Two cars start simultaneously from A and B towards each other, and the distance between them after 6 hours is 30 km. If the speed of one car is less than the other by 10 km/hr, find the speed of each car.
Question 34 :
State whether the statement is TRUE or FALSE : The number of boys and girls in a class are in the ratio 5:4. If the number of boys is 9 more than the number of girls, then number of boys is 9.
Question 35 :
State whether the statement is TRUE or FALSE : Shikha’s present age is p years. Reemu’s present age is 4 times the present age of Shikha. After 5 years Reemu’s age will be 15p years.
Question 36 :
9 is subtracted from the product of p and 4, the result is 11. The value of p is
Question 37 :
Radha takes some flowers in a basket and visits three temples one by one. At each temple, she offers one half of the flowers from the basket. If she is left with 3 flowers at the end, find the number of flowers she had in the beginning.
Question 38 :
State whether the statement is TRUE or FALSE : A term of an equation can be transposed to the other side by changing its sign.
Question 39 :
There are 40 passengers in a bus, some with Rs. 3 tickets and remaining with Rs.10 tickets. The total collection from these passengers is Rs. 295. Find how many passengers have tickets worth Rs. 3?
Question 40 :
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 42 :
The sum of three consecutive numbers is 156. Find the number which is a multiple of 13 out of these numbers.
Question 44 :
Solve 4t – 3 – (3t +1) = 5t – 4.
Question 46 :
In a two digit number, digit in units place is twice the digit in tens place. If 27 is added to it, digits are reversed. Find the number.
Question 49 :
Divide 54 into two parts such that one part is $\frac{2}{7}$ of the other.
