Fundamental (Numbers)

Parin Sir > Quantitative Aptitude (Maths) > Fundamental (Numbers)

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

…

Posted in: Examples 26 to 30 of Fundamental(Numbers),

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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

&…

Posted in: Examples 21 to 25 of Fundamental(Numbers),

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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…

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.

$\therefore$

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

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28

May

Examples 1 to 10 of Fundamental(Numbers)
(1) Evaluate : 25 – | – 8 | – | 7 | + | – 31 |.

Soln. 25 – | – 8 | – | 7 | + | – 31 |    =    25 – 8 – 7 + 31    =     41

(2) Find the value of i¹⁸.

Soln. i¹⁸ =   …

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28

May

Progressions
■Sequence :   A succession of numbers formed and arranged in a definite order according to certain definite rule, is called a sequence.

The number occurring at the n-th place of a sequence is called its n-th term.

■P…

Posted in: Progressions,

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28

May

Properties of Irrationals and Surds
▪ The set P of all irrationals is not closed for addition, since the sum of two irrationals need not be irrational.

e.g. ( 5 + $\sqrt{3}$

Posted in: Properties of Irrationals and Surds,

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27

May

Operations On Rational Numbers
Properties of Addition on Q :

▪ Q is closed for addition.

▪ Addition on Q is commutative as well as associative.

▪ 0

Posted in: Operations On Rational Numbers,

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27

May

Operations on integers
Properties of Addition & Subtraction on I :

▪ I is closed for addition.

i.e. a $\in$

Posted in: Operations on integers,

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27

May

Operation Of Real Numbers
Properties of addition on R :

Closure Property : The sum of two real numbers is always a real number. We say that R is closed for addition. …

Posted in: Operation Of Real Numbers,

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