example

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: maths, base, sir, 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,
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,
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17
Aug
Examples 1 to 4 of progression

(1) Find  10th term of  the A.P.  351, 357, 363, 369, …

Soln. For given A.P., we have : a =  351  and  d  =  6.

Here, T_n = 6n + 345

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Posted in: Examples 1 to 4 of progression,
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