Mathematics Express>Chapter 5 - Number Systems>Exercise 1>Q 9

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There are totally $25$ trees in a field and these $25$ trees are planted in a row at a equal distance from each other. the distance between the $1^{s t}$ tree and $25^{t h}$ tree is $30$ $m$ respectively, then find the distance between the $3^{r d}$ tree and $15^{t h}$ tree ?

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Important Questions on Number Systems

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Mathematics Express>Chapter 5 - Number Systems>Exercise 1>Q 10

When

n

is divisible by

5

the remainder is

2

, What is the remainder when

n^{2}

is divided by

5

is -

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Mathematics Express>Chapter 5 - Number Systems>Exercise 1>Q 11

The number of prime factors in the expression

{(6)}^{10} \times {(7)}^{17} × {(11)}^{27}

is

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Mathematics Express>Chapter 5 - Number Systems>Exercise 1>Q 12

The number of prime factors in

2^{222} \times 3^{333} \times 5^{555}

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Mathematics Express>Chapter 5 - Number Systems>Exercise 1>Q 13

In a division sum, the divisor is

12

times the quotient and

5

times the remainder. If the remainder be

48

, then the dividend is:

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Mathematics Express>Chapter 5 - Number Systems>Exercise 1>Q 14

The least number of

5

digit which is exactly divisible by

12, 15

and

18

is

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Mathematics Express>Chapter 5 - Number Systems>Exercise 1>Q 15

What is the greatest number of

3

digits which when divided by

6, 9, 12

leaves a remainder

3

in each case?

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Mathematics Express>Chapter 5 - Number Systems>Exercise 1>Q 16

15 %

of a number is when added to

30 %

of another, gives

24 %

of the sum of the two numbers. The bigger number is

4

more than the smaller one. What are the numbers?

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Mathematics Express>Chapter 5 - Number Systems>Exercise 1>Q 17

Find the unit digit in the expression,

$(184^{396}) \times (37^{44}) \times (121^{56})$