Linear Equation...

Find the value of x in .

A number is 26 more than the sum of its quarter, one-third and one-fifth. What is the number?

If of a number is 64 less than the original number, then the number is

Directions: Find the value of x in 3(7x + 2) - 4(4x - 1) = 8(3x + 4) - 4(5x - 4).

The number 323 is divided into two parts in ratio 7 : 10. If the smaller part is increased by 5 times and bigger part is increased by 7 times, then what will be the sum of the two parts?

If of a number is 78 more than the original number, then the number is

The sum of two numbers is same as their product. If one of the numbers is , then what is the other number?

A number whose 8^th part exceeds its 9^th part by 2, is

A number consists of two digits whose sum is 11. If 45 is added to the original number, then its digits are interchanged. Then, the original number is

The numerator of a rational number is 4 less than its denominator. If 3 is added to the denominator and 3 is subtracted from the numerator, then the new number becomes. The original number is

If , then find the value of p.

A two-digit number is less than 40 but greater than 30. The sum of its digits is half of their product. What is the number?

Which of the following can be two parts of 68, if ^th of one part is equal to^th parts of other?

If the angles of a quadrilateral are in ratio 2 : 3 : 6 : 7, then find the difference between the largest and the smallest angles of the quadrilateral.

One-third of a number when subtracted from a number itself, gives 34. The number is

Of the classes A and B in a school, 12% of the total students are in class A and the rest in class B. The difference between the number of students in classes A and B is 152. Find the total number of students in both the classes.

Amit is 24 years older than Rohit. 2 years hence, his age will be twice the age of Rohit. Find the present age of Rohit.

In a school, one third students like apples, one fourth like oranges and one fifths like grapes. How many students do not like fruits, if total 240 students are in school?

P is two years older than Q and Q is twice as old as R. If combined age of all of them is 27, then find the age of Q.

A boat travels a certain distance at a speed of 11 km/hr upstream and at 5 km/hr downstream. Find the speed of boat in still water.

Directions: Fill in the blanks.

(i) x² + 1 = 5 is a ____ equation.
(ii) If a and b are negative integers, then solution of ax = b has to be always ____.
(iii) Value of x for which 3x - 4 and 2x + 1 becomes equal is ___.
(iv) A linear equation in one variable has _____ solution(s).

Which of following statements is/are correct?

Statement (1): x = is the solution of .

Statement (2): x = is the solution of .

Directions: State 'T' for true and 'F' for false.

I. Length of a rectangle is 10 m more than breadth. Perimeter of rectangle is 80 m. The dimensions of that rectangle is 15 cm and 25 cm.
II. Length of a rectangle exceeds its breadth by 3 cm. If the length and breadth are each increased by 2 cm, then the area of new rectangle will be 70 sq.cm more than that of the given rectangle. Length and breadth of the given rectangle are 18 cm and 15 cm.
III. Four-fifth of a number is more than three-fourth of that number by 5. That number is 120.

Which of the following statements is incorrect?

A. I have Rs. 300 with me in form of 1 rupee coins, 2 rupee coins and 5 rupee coins. Number of 2 rupee coins is 3 times the number of 5 rupee coins. Total number of coins is 160. So, I have twenty 5 rupee coins.
B. Cost of a pencil is 25 paise more than cost of an eraser. Cost of 8 pencils and 10 erasers is Rs. 12.80. Cost of one eraser is 50 paise.
C. Amit's father is 49 years old. He is 5 years older than four times Amit's age. Amit is 11 years old.
D. If sum of two consecutive even numbers is 38, then those numbers are 18 and 20.

Directions: Match the following.

	Column I	Column II
P.	If , then find x.	(i) 4
Q.	If , then x = ?	(ii)
R.	If , then x = ?	(iii) 1
S.	If , then x = ?	(iv) 2