1
Q:

# 3 x 0.3 x 0.03 x 0.003 x 30 =?

 A) 0.0000243 B) 0.000243 C) 0.00243 D) 0.0243

Explanation:

3 x 3 x 3 x 3 x 30 = 2430. Sum of decimal places = 6

$\inline&space;\fn_jvn&space;\therefore$ 3 x 0.3 x 0.03 x 0.003 x 30 = 0.002430 = 0.00243

Q:

When 0.46 is written in simplest form, the sum of the numerator and the denominator is  ?

 A) 69 B) 73 C) 96 D) 41

Explanation:

0.46 = 46/100 = 23/50.

Sum of the numerator and denominator is 23 + 50 = 73

1 20
Q:

Evaluate : $\inline \fn_jvn \small \frac{3.39^{2}-2.61^{2}}{3.39-2.61}$ ?

 A) 3 B) 4 C) 6 D) 1

Explanation:

Given $\inline \fn_jvn \small \frac{3.39^{2}-2.61^{2}}{3.39-2.61}$ = $\inline \fn_jvn \small \frac{a^{2}-b^{2}}{a-b}$ = $\inline \fn_jvn \small \frac{(a+b)(a-b)}{a-b} = (a+b)$ = 3.39 + 2.61 = 6.

2 106
Q:

Karthik read $\inline \fn_jvn \small \frac{6}{13}$ th of a book in 1st week and $\inline \fn_jvn \small \frac{5}{9}$ th of the remaining book in 2nd week. If there were 100 pages unread after 2nd week, how many pages were there in the book ?

 A) 404 B) 415 C) 418 D) 420

Explanation:

Let the total book be 1
Then, in the 1st week $\inline \fn_jvn \small \frac{6}{13}$th of book is read
i.e remaining pages = $\inline \fn_jvn \small 1-\frac{6}{13} = \frac{7}{13}$
in 2nd week he read $\inline \fn_jvn \small \frac{5}{9}$th of it
i.e $\inline \fn_jvn \small \frac{5}{9}$ $\inline \fn_jvn \small \times \frac{7}{13} = \frac{35}{117}$
remaining pages after 2nd week = $\inline \fn_jvn \small \frac{7}{13}-\frac{35}{117} = \frac{28}{117}$
But given remaining pages after 2nd week = 100
$\fn_jvn&space;\small&space;\Rightarrow$ $\inline \fn_jvn \small \frac{28x}{117} = 100$
$\fn_jvn&space;\small&space;\Rightarrow$   x = 418

$\fn_jvn&space;\small&space;\therefore$ The total pages in the book are 418

6 180
Q:

$(0.2 * 0.2+0.01)(0.1 * 0.1+0.02)^{-1}$ is equal to

 A) 5/3 B) 9/5 C) 41/4 D) 41/12

Explanation:

Given expression = $\inline&space;\fn_jvn&space;\frac{(0.2\times&space;0.2+&space;0.01)}{(0.1\times&space;0.1&space;+0.02&space;)}=\frac{0.04+0.01}{0.01+0.02}=\frac{0.05}{0.03}=\frac{5}{3}$

3 777
Q:

When 52416 is divided by 312, the quotient is 168. what will be the quotient when 52.416 is divided by 0.0168?

 A) 3.12 B) 312 C) 3120 D) None of these

Given , $\inline&space;\fn_jvn&space;\frac{52416}{312}=168&space;\Leftrightarrow&space;\frac{52416}{168}=312$
Now,  $\inline&space;\fn_jvn&space;\frac{52.416}{0.0168}=\frac{52416}{16.8}=\frac{52416}{168}\times&space;\frac{1}{10}=(312\times&space;10)=3120$