Examples 16 to 20 of Fundamental(Numbers)

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Aug

(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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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.

$\therefore$

Posted in: Examples 11 to 15 of Fundamental(Numbers),

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Aug

Index of Progression

01. Arithmetic Progression

02. Geometric Progression

03. Harmonic Progress…

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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 …

Posted in: Examples 5 to 9 of progression,

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Aug

Examples 1 to 4 of progression

(1) Find 10^th 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

Posted in: Examples 1 to 4 of progression,

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Aug

Harmonic Progression

☼ Harmonic Progression ( H.P.) : The progression $a_1,a_2,a_3,...$ is called an H. P., if

Posted in: Harmonic Progression,

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Aug

Geometric Progression

☼ Geometric Progression ( G.P.) : The progression of the form a, ar, ar², ar³, … is known as a G.P., with first term = a and common ratio = r.

Posted in: Geometric Progression,

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Aug

Progression

☼ Arithmetic Progression ( A.P.) : The progression of the form a, a + d, a + 2d, a + 3d, . . . is known as an A.P. ( Arithmetic Progression or Arithmetic Sequence )…

Posted in: Progression,

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Aug

Index of Time and Work

01. Introduction

02. Pipes ( may be inlet or may be outlet ) & Cisterns ( or tank or re…

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Aug

Examples 9 to 13 of time and work

(9) If two pipes function simultaneously, the reservoir will be filled in 18 hours. One pipe fills the reservoir 15 hours faster than the other. How many hours does it take the second pipe to fill the reservoir ?

Soln. Let the re…

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