Zoho Number System Quiz 1

LCM of 4, 6 and 9 

4 = 2 x 2

6 = 2 x 3

9 = 3 x 3

LCM = 2 x 2 x 3 x 3 = 36

Required number = 36 + 3 = 39

Let number is x

\frac{1}{3} \times \frac{1}{9} \times x = 3

x = 3 \times 3 \times 9 = 81

One ninth of that number = 81 \times \frac{1}{9} = 9

Let number = x

x+\frac{9x}{7} = 48

\frac{7x+9x}{7} = 48

x=\frac{48 \times 7}{16} = 21 

24 = 2 x 2 x 2 x 3

36 = 2 x 2 x 3 x 3

44 = 2 x 2 x 11

LCM = 2 x 2 x 2 x 3 x 3 x 11 = 792

792 x 1 = 792

792 x 2 = 1584

Four digit smallest number which is divisible by 24, 36 and 44 gives no remainder is 1584.

\frac{1}{0.0020} \times \frac{1}{0.5} = 500 \times 2 = 1000 

 

72 = 2 x 2 x 2 x 3 x 3 x 3 = 2^{3} \times 3^{2}

Total number of Factors = (3+1)\times (2+1) = 12

When 4^{2} is divided by 5

Remainder = 1

Power of anything of 1 is always 1.

So, when 4^{24} is divided by 5 remainder = 1

when the square of that number is divided by 9 then 

2\times 2 = 4  

Remainder = 4

Number = 32 x 27 + 6 = 870

When 870 is divided by 17 quotient is 51 reminder = 3

HCF = \frac{\text{Product of Two Numbers }}{\text{LCM}}

HCF = \frac{1750}{350} = 5