8th Class Rational Number and Linear Equation

 ( Rational Number and Linear Equation)

8th Class 

Q. 1 A rational number p/q is said to be in the simplest form if the HCF of p and q is

(a) 2     (b) 1     (c) 0     (d) 3

Q.2 Between any two distinct rational numbers there exist

(a) Finite rational numbers (b) Infinite rational numbers  (c) No rational number (d) none of the above

Q.3 A rational number a/b is greater than c/d if

(a) ad > bc (b) ad < bc (c) ad = bc (d) ad ≠ bc

Q.4 Rational numbers are not closed under

(a) Addition (b) Multiplication (c) Division (d) Subtraction

Q.5 Represent -11/5  rational numbers on the number line

Q.6 Simplify  (-7/18) х (15/-7) – (1/4) + (1/2 х1/4)

Q.7  The sum of three consecutive multiples of 8 is 888. Find the multiple.

Q.8 Insert six rational numbers between -1 and 0.

Q.9 Ram is three times as old as Rahim. Five years later, Ram will be two-and-a –half times as old as Rahim. How old are Ram and Rahim now?

Q.10 Seven times a two digits number is the same as four times the number obtained on interchanging the digits of the given number. If one digit of the given number exceeds the other by 3, find the number.

 Q.11 The product of two positive numbers is equal to 2 and their difference is equal to 7/2. Find the two numbers.

 Q.12  Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of their ages is 135. Find their ages.

Q.13  Hasan buys two kinds of cloth materials for school uniform. Shirt material cost him Rs. 50 per metre and trousers material cost him Rs. 90 per metre. For every 2 metres of the trousers material he buys 3 metres of shirt material. He sells them at 12% and 10% profit respectively. His total sale is Rs. 36,660. How much trousers material did he buy?

Q.14 Half of a herd of deer are grazing in the field and three fourths of the remaining are playing nearby. The rest 9 are drinking water from the pond. Find the total number of deer in the herd.

Q.15 The organizers in an essay competition decide that winner will get a prize of Rs. 100 and a participation who doesn’t win gets a prize of Rs. 25. The total prize money distributed is Rs. 3,000. Find the number of winners if the total number of participants is 63.