Question 4 :
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 5 :
If $\frac{5x}{3}-4=\frac{2x}{5}$, then the numerical value of 2x – 7 is
Question 6 :
The sum of three consecutive even natural numbers is 48. Find the greatest of these numbers.
Question 7 :
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 8 :
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 9 :
The solution of which of the following equations is neither a fraction nor an integer .
Question 10 :
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 11 :
The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.
Question 12 : <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 13 :
State whether the statement is TRUE or FALSE : Three consecutive even numbers whose sum is 156 are 51, 52 and 53.
Question 14 :
State whether the statement is TRUE or FALSE : Two numbers differ by 40, when each number is increased by 8, the bigger becomes thrice the lesser number. If one number is x, then the other number is (40 – x).
Question 15 :
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 17 :
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 18 :
State whether the statement is TRUE or FALSE : In an equation, variables can be transposed from one side of the equation to the other.
Question 19 :
State whether the statement is TRUE or FALSE : In the equation 2x = 4 – x, transposing –x to LHS, we get x = 4.
Question 20 :
State whether the statement is TRUE or FALSE : If $\frac{x}{3}+1=\frac{7}{15}$, then $\frac{x}{3}=\frac{6}{15}$.
Question 21 :
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 22 :
The solution of the equation ax + b = 0 is
Question 24 :
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 25 :
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 26 :
The digit in the tens place of a two digit number is 3 more than the digit in the units place. Let the digit at units place be b. Then the number is
Question 27 :
Anushka and Aarushi are friends. They have equal amount of money in their pockets. Anushka gave $\frac{1}{3}$ of her money to Aarushi as her birthday gift. Then Aarushi gave a party at a restaurant and cleared the bill by paying half of the total money with her. If the remaining money in Aarushi’s pocket is Rs.1600, find the sum gifted by Anushka.
Question 28 :
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 31 :
Solve 4t – 3 – (3t +1) = 5t – 4.
Question 34 :
The present age of father is four times the age of his son. After 10 years, age of father will become three times the age of his son. Find their present ages.
Question 36 :
State whether the statement is TRUE or FALSE : If $\frac{15}{8}-7x=9$, then $-7x=9+\frac{15}{8}$.
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 :
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 39 :
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?
Question 40 :
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 41 :
State whether the statement is TRUE or FALSE : A and B are together 90 years old. Five years ago A was thrice as old as B was. Hence, the ages of A and B five years back would be (x – 5) years and (85 – x) years respectively.
Question 44 :
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 45 :
Solve 1 – (x – 2) – [(x – 3) – (x – 1)] = 0.
Question 46 :
The solution of the equation 3x – 4 = 1 – 2x is
Question 47 :
State whether the statement is TRUE or FALSE : In a 2 digit number, the units place digit is x. If the sum of digits be 9, then the number is (10x – 9).
Question 48 :
State whether the statement is TRUE or FALSE : In a linear equation, the highest power of the variable appearing in the equation is one.
