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 $\frac{5}{9}\times \frac{7}{13}=\frac{35}{117}$

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

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.**

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 |

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**.

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

A) 3 | B) 4 |

C) 6 | D) 1 |

Explanation:

It is in the form of $\frac{{a}^{2}-{b}^{2}}{a-b}=\frac{\left(a+b\right){\displaystyle \left(a-b\right)}}{a-b}=\mathbf{}\mathit{a}\mathbf{+}\mathit{b}$

Here **a = 3.39** **b = 2.61 **

= 3.39 + 2.61 = 6.

A) 5/3 | B) 9/5 |

C) 41/4 | D) 41/12 |

Explanation:

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

A) 3.12 | B) 312 |

C) 3120 | D) None of these |

Explanation:

Given, $\frac{52416}{312}=168\iff \frac{52416}{168}=312$

Now , $\frac{52.416}{0.0168}=\frac{52416}{16.8}=\frac{52416}{168}\times 10=312\times 10=3120$

A) 5.4327 x 3.572 x5.7 | B) 5.4327 x 3.572 x0.57 |

C) 54327 x 3572 x 0.0000057 | D) None of these |

Explanation:

Number of decimal places in the given expression = 8

Number of decimal places in (A) = 8

Number of decimal places in (B) = 9

Number of decimal places in (C)= 7

Clearly , the expresssion in (A) is the same as the given Expression.

A) 1/5 | B) 2/9 |

C) 23/99 | D) 23/100 |