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Study Material and Tips

### Tips to Solve Problems on Numbers

I. Numeral : In Hindu Arabic system, we use ten symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 called digits to represent any number. A group of digits, denoting a number is called a numeral. We represent a number, say 689745132 as shown below : We read it as : 'Sixty-eight crores, ninety-seven lacs, forty-five thousand, one hundred and thirty-two'. II. Plac...

### Tips to Solve Problems on Ratio and Proportion

1. RATIO: The ratio of two quantities a and b in the same units, is the fraction a/b and we write it as a:b. In the ratio a:b, we call a as the first term or antecedent and b, the second term or consequent. Ex. The ratio 5: 9 represents 5/9 with antecedent = 5, consequent = 9. Rule: The multiplication or division of each term of a ratio by the same n...

### Tips to Solve Problems on Partnership

Partnership: When two or more than two persons run a business jointly, they are called partners and the deal is known as partnership. Ratio of Division of Gains: (i) When investments of all the partners are for the same time, the gain or loss is distributed a among the partners in the ratio of their investments. Suppose A and B invest Rs. x and Rs. y ...

### Tips to Solve Problems on Simplification

BODMAS Rule: This rule depicts the correct sequence in which the operations are to be executed,so as to find out the value of a given expression. Here, 'B' stands for bracket , 'O' for of , 'D' for division and 'M' for multiplication, 'A' for addition and 'S' for subtraction. Thus, in simplifying an expression, first of all the brackets must be removed...

### Tips to Solve Problems on H.C.F and L.C.M of Numbers

I.Factors and Multiples:If a number 'a' divides another number 'b' exactly, we say that 'a' is a factor of 'b'. In this case, b is called a multiple of a. II.Highest Common Factor (H.C.F.) or Greatest Common Measure (G.C.M.) or Greatest Common Divisor (G.C.D.):The H.C.F. of two or more than two numbers is the greatest number that divides each of them e...