Question 1 :
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 4 :
After 18 years, Swarnim will be 4 times as old as he is now. His present age 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 : In the equation 2x = 4 – x, transposing –x to LHS, we get x = 4.
Question 7 :
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 8 :
The sum of three consecutive odd natural numbers is 69. Find the prime number out of these numbers.
Question 9 :
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 10 :
If 8x – 3 = 25 +17x, then x is a
Question 11 :
Find a number whose fifth part increased by 30 is equal to its fourth part decreased by 30.
Question 12 :
State whether the statement is TRUE or FALSE : If x is an even number, then the next even number is 2(x + 1).
Question 13 :
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 14 :
Madhulika thought of a number, doubled it and added 20 to it. On dividing the resulting number by 25, she gets 4. What is the number?
Question 15 :
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 16 :
The sum of three consecutive numbers is 156. Find the number which is a multiple of 13 out of these numbers.
Question 18 :
9 is subtracted from the product of p and 4, the result is 11. The value of p is
Question 19 :
Sum of the digits of a two-digit number is 11. The given number is less than the number obtained by interchanging the digits by 9. Find the number.
Question 23 :
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 25 :
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.