model 3 fraction of numbers Practice Questions Answers Test with Solutions & More Shortcuts

Answer: (d)

Let the length of bamboo be x metres.

Length of bamboo above water

= x - $x/10 – {5x}/8$

= ${40x – 4x – 25x}/40 = {11x}/40$

According to the question, ${11x}/40$ = 2.75

x =${2.75×40}/11$=10 metres.

Answer: (c)

Let the number be x.

According to the question,

x = $\text"x"/5$ + 20⇒ x - $\text"x"/5$ = 20

$\text"4x"/5$ = 20

x = ${20×5}/4 = 25$

Answer: (c)

0.$\ov{001}$ = $1/999$

Answer: (c)

Given

$\text"a"/ \text"b" × \text"c"/ \text"d" = 14/15$ ...(i)

$\text"a"/ \text"b" × \text"d"/ \text"c" = 35/24$...(ii)

Now multiplying both the equations

$\text"ac"/ \text"bd" × \text"ad"/ \text"bc" = 14/15 × 35/24$

= $a^2/ b^2 = 49/36$ ⇒ $\text"a"/ \text"b" = 7/6$

$\text"c"/ \text"d" = {14/15}/{7/6} =4/5$

But the greater fraction is $7/6$ .

Answer: (d)

Suppose required number is x Then,

3x -$\text"3x"/5$ = 60 ⇒ $\text"12x"/5$ =60

= x = ${60 × 5}/12$ = 25