Question Text
Question 2 :
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 3 :
When a number is divided by 8, the result is –3. The number is
Question 5 :
Solve 1 – (x – 2) – [(x – 3) – (x – 1)] = 0.
Question 6 :
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 7 :
The sum of three consecutive odd natural numbers is 69. Find the prime number out of these numbers.
Question 8 :
The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.
Question 11 :
Solve 4t – 3 – (3t +1) = 5t – 4.
Question 12 :
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 16 :
If x = a, then which of the following is not always true for an integer k ?
Question 17 :
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 18 :
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 19 :
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 20 :
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.