7
Q:

# $\left(0.2×0.2+0.01\right){\left(0.1×0.1+0.02\right)}^{-1}$ is equal to

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

Explanation:

Given expression = $\frac{\left(0.2×0.2×0.01\right)}{\left(0.1×0.1×0.02\right)}=\frac{0.04+0.01}{0.01+0.02}=\frac{0.05}{0.03}=\frac{5}{3}$

Q:

Express 0.875 and 0.375 as a Fraction.

 A) 3/11 & 7/11 B) 7/9 & 9/13 C) 7/8 & 3/8 D) 7/9 & 9/11

Explanation:

Given 0.875 and 0.375

0.875 ::

After decimal point there are 3 digits 875

Now, mutiply and divide 0.875 with 1000

Similarly,

0.375 ::

After decimal point there are 3 digits 375

Now, mutiply and divide 0.375 with 1000

1 6
Q:

5/8 as a Decimal Equals To

 A) 0.625 B) 0.541 C) 0.258 D) 0.147

Explanation:

5/8 is Nothing but to divide 5 into 8 parts.

As 5 is smaller than 8, the quotient starts with a decimal point to make 5 as 50 to be divisible by 8. (0.)

Now 50 goes for 6 times in 8 leaving a remainder 2. (0.6)

Again 2 is smaller than 8, As it already has decimal point in the quotient, now 2 becomes 20.

Now 20 goes for 2 times in 8 leaving a remainder 4. (0.62)

Again 4 is smaller than 8, As it already has decimal point in the quotient, now 4 becomes 40.

Now 40 goes for 5 times in 8 leaving a remainder 0. (0.625)

Therefore, the decimal value of $\frac{\mathbf{5}}{\mathbf{8}}$ is 0.625.

Now find a decimal value of $\left(\frac{\mathbf{11}}{\mathbf{17}}\right)$ and Discuss your at Discuss.

6 47
Q:

If two fractions, each of which has a value between 0 and 1, are multiplied together, the product will be :

 A) always greater than either of the original fractions B) always less than either of the original fractions C) sometimes greater and sometimes less than either of the original fractions D) remains the same

Answer & Explanation Answer: B) always less than either of the original fractions

Explanation:

We can easily Answer this by taking some values.

The question states that the two fractions, each have values between 0 and 1.

Let us say one of the fraction is 1/2 and the other fraction is 1/3 .

The product of the two fractions is 1/2 x 1/3 = 1/6 .
is lesser than both 1/2  and 1/3 .

So, the correct answer is that the product is always less than either of the original fractions

9 659
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

2 904
Q:

Evaluate : $\frac{3.{39}^{2}-2.{61}^{2}}{3.39-2.69}$?

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

Explanation:

It is in the form of

Here a = 3.39   b = 2.61

= 3.39 + 2.61 = 6.

5 683
Q:

Karthik read $\frac{6}{13}$ th of a book in 1st week and $\frac{5}{9}$ 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 $\frac{6}{13}$th of book is read

i.e remaining pages =  $1-\frac{6}{13}=\frac{7}{13}$

in 2nd week he read $\frac{5}{9}$th of it

i.e $\frac{5}{9}×\frac{7}{13}=\frac{35}{117}$
Remaining pages after 2nd week = $\frac{7}{13}-\frac{35}{117}=\frac{28}{117}$

But given remaining pages after 2nd week = 100

$\frac{28x}{117}=100$

--> x = 418

The total pages in the book are 418

7 854
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

Explanation:

Given,

Now ,