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Real Numbers

Short Answer Type

41. Find the [HCF ^m LCM] for the numbers 100 and 190.

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42. State fundamental theorem of arithmetic.

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43. Write a rational number between

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44. State Euclid’s division algorithm.

Given two positive integers a and b, there exists a unique pair of integers q and r such that

a = bq + r, 0 ≤ r < b.

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45. Consider the number 12ⁿ, where n is a natural number. Check whether there is any value of n ∊ N for which 12ⁿ ends with the digit zero.

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46. Consider the number 6ⁿ, where n is a natural number. Check whether there is any value of n ∊ N for which 6ⁿ is divisible by 7.

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47. Given that L.C.M. of (150, 100) = 300, find H.C.F. (150, 100).

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48. The H.C.F. and L.C.M. of two numbers are 12 and 240 respectively. If one of these numbers is 48; find the other number.

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49.

What is the HCF of 52 and 130.

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50. Without actual division find whether the rational number

3 over 3750

is a terminating or a non-terminating repeating decimal.

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