Question 1 :
Arpita’s present age is thrice of Shilpa. If Shilpa’s age three years ago was x. Then Arpita’s present age is
Question 2 :
Solve 4t – 3 – (3t +1) = 5t – 4.
Question 3 :
The sum of three consecutive numbers is 156. Find the number which is a multiple of 13 out of these numbers.
Question 4 :
A steamer goes downstream and covers the distance between two ports in 5 hours while it covers the same distance upstream in 6 hours. If the speed of the stream is 1 km/hr, find the speed of the steamer in still water.
Question 5 :
The sum of two consecutive multiples of 10 is 210. The smaller multiple is
Question 6 :
Rs. 13500 are to be distributed among Salma, Kiran and Jenifer in such a way that Salma gets Rs. 1000 more than Kiran and Jenifer gets Rs. 500 more than Kiran. Find the money received by Jenifer.
Question 7 :
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 9 :
State whether the statement is TRUE or FALSE : Any value of the variable which makes both sides of an equation equal is known as a solution of the equation.
Question 10 :
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 11 :
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 12 :
Distance between two places A and B is 210 km. Two cars start simultaneously from A and B in opposite direction and distance between them after 3 hours is 54 km. If speed of one car is less than that of other by 8 km/hr, find the speed of each.
Question 13 :
If 8x – 3 = 25 +17x, then x is a
Question 14 :
State whether the statement is TRUE or FALSE : If 6x = 18, then 18x = 54.
Question 15 :
On subtracting 8 from x, the result is 2. The value of x is
Question 17 :
The solution of the equation 3x – 4 = 1 – 2x is
Question 19 :
A lady went to a bank with Rs. 1,00,000. She asked the cashier to give her Rs. 500 and Rs. 1,000 currency notes in return. She got 175 currency notes in all. Find the number of each kind of currency notes.
Question 21 :
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 22 :
State whether the statement is TRUE or FALSE : Three consecutive even numbers whose sum is 156 are 51, 52 and 53.
Question 23 :
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 26 :
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 28 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cd48f59b460d7261ee95.png' />
In the above figure, for what value of x is the perimeter of shape 77 cm?
Question 29 :
9 is subtracted from the product of p and 4, the result is 11. The value of p is
Question 30 :
An employee works in a company on a contract of 30 days on the condition that he will receive Rs. 120 for each day he works and he will be fined Rs. 10 for each day he is absent. If he receives Rs. 2300 in all, for how many days did he remain absent?
Question 31 :
A family spent Rs. 52.00 for circus tickets. This cost included a Rs. 3.25 service fee for the order, with the cost of the circus tickets being Rs. 9.75 each. How many tickets did the family buy?
Question 32 :
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 35 :
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 36 :
The perimeter of a rectangle is 240 cm. If its length is increased by 10% and its breadth is decreased by 20%, we get the same perimeter. Find the length and breadth of the rectangle.
Question 37 :
State whether the statement is TRUE or FALSE : If x is an even number, then the next even number is 2(x + 1).
Question 38 :
The share of A when Rs. 25 are divided between A and B so that A gets Rs. 8 more than B is
Question 40 :
Fifteen added to thrice a whole number gives 93. The number is
Question 41 :
State whether the statement is TRUE or FALSE : In a linear equation, the highest power of the variable appearing in the equation is one.
Question 43 :
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 44 :
After 18 years, Swarnim will be 4 times as old as he is now. His present age is
Question 45 :
State whether the statement is TRUE or FALSE : In an equation the values of the expressions on the LHS and RHS are equal for certain values of the variables.
Question 48 :
If x = a, then which of the following is not always true for an integer k ?
Question 49 :
State whether the statement is TRUE or FALSE : If $\frac{x}{11}=15$, then $x=\frac{11}{15}$.
Question 50 :
Solve 1 – (x – 2) – [(x – 3) – (x – 1)] = 0.
