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18
Aug
Examples 26 to 30 of Fundamental(Numbers)

(26) Find the sum of  all odd numbers up to 100.

Soln. The given numbers are 1, 3, 5, 7, …, 99.

T_n  =  2n – 1  ⇒  2n – 1  =  99

∴  n  =  50

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Posted in: Examples 26 to 30 of Fundamental(Numbers),
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18
Aug
Examples 21 to 25 of Fundamental(Numbers)

(21) What least number must be added  and subtract to 3000 to obtain a number exactly divisible by 19 ?

Soln. On dividing 3000 by 19, we get 17 as  a  remainder.

∴ Number to be added

=   ( 19 – 17 )

=   2

&…

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Posted in: Examples 21 to 25 of Fundamental(Numbers),
Tags: mathematics, sum, bhai, ganit, dakhla, Mehta, concept, formula, maheta, proof, sutra, classes, theorem, sutr, class, theorems, Examples, education, definition, SUMS, online, definitions, example, tutorial, fundamental, math, educational, basic, Parin, maths, base, sir,
18
Aug
Examples 16 to 20 of Fundamental(Numbers)

(16) Find  the  unit’s  digit  in  the  product  (5327)153 × (143)72.

Soln. First of  all divide  the index  by  4 and  find  out  its  remainder.

   ( Replace the remainder 4 by 1 and oth…

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Posted in: Examples 16 to 20 of Fundamental(Numbers),
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18
Aug
Examples 11 to 15 of Fundamental(Numbers)

(11) What least number must be added to 16759 to  get  a  number exactly divisible by 37 ?

Soln. On dividing 16759 by 37, the remainder is 35.

\therefore

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Posted in: Examples 11 to 15 of Fundamental(Numbers),
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17
Aug
Examples 5 to 9 of progression

(5) Find three arithmetic means between 7 and 47.

Soln. Now, d= \frac{b-a}{n+1}   :  Where,  a  =  7,   b  =  47 …

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Posted in: Examples 5 to 9 of progression,
Tags: proof, sutra, classes, theorem, sutr, class, theorems, Examples, education, definition, SUMS, online, definitions, example, tutorial, fundamental, math, educational, basic, Parin, maths, base, sir, mathematics, sum, bhai, ganit, dakhla, Mehta, concept, formula, maheta,