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Find a rational number betweenand 13.How many two digits numbers are divisible by 3? |
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Answer» (1) We knowRoot 2 = 1.414Root 3 = 1.732 Now, we can write n number of rational number between these. That is just greater than 1.414 and less than 1.732 and it should be terminating or not terminating but repeating.For example1.415659756, 1.416893, 1.715644, ... (2) Two digits numbers divisible by 3 form an AP The A.P. will be12,15,.......99We need to find number of terms of an AP Last term of this series is 99 So, an = 99 & a =12d =15–12= 3 Now, an = a + (n – 1) d Putting values,99 =12+ (n – 1)(3) 99 =12+ 3n – 3 99 = 9 + 3n 3n = 99 – 9 3n =90n =90/3 = 30 Therefore, there are30 twodigit numbers divisible by 3. |
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