Class 10

Math

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Real Numbers

A washing machine is available for Rs. 13,500 cash or Rs. 6,500 as cash downpayment followed by three monthly instalments of Rs. 2,500 each. Find the rate ofinterest charged under instalment plan.

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Given that HCF $(306$ and $657)=9$, find LCM of $(306$ and $657)$

An army contingent of $616$ members is to march behind an army band of $32$ members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?

Use Euclid’s division algorithm to find the HCF of $210and55$.

State whether the given statement is true or false.(i) the sum of two rationals is always rational.(ii) the product of two rational is always rational.(iii) The sum of two irrational is always an irrational.(iv) the product of two irrational is always an irrational.(v) the sum of a rational and an irrational is irrational.(vi) The product of a rational and an irrational is irrational.

Three piece of timber 42 m , 49 m and 63 m long have to be divided into planks of the same length. what is greatest possible length of each plank ? How many planks are formed?

Is it possible to have two numbers whose HCF is $25$ and LCM is $520$?

Prove that $5 $ is irrational.

Express each number as a product of its prime factors: