# Simplification - 04

## 01. By how much does 67/8exceed 6/78=?\frac{6}{{7/8}}{\text{exceed }}\frac{{6/7}}{8} = ?

• 1
$6\frac{1}{8}$
• 2
$6\frac{3}{4}$
• 3
$7\frac{3}{4}$
• 4
$7\frac{5}{6}$

## 02. If x is a positive number, then which of the following fractions has the greatest value ?

• 1
$\frac{x}{x}$
• 2
$\frac{x}{x+1}$
• 3
$\frac{x+1}{x}$
• 4
$\frac{x+2}{x+3}$

## 06. The sum of the first 99 terms of the series 34+516+7144+9400+.....$\frac{3}{4}+\frac{5}{16}+\frac{7}{144}+\frac{9}{400}+.....$\frac{3}{4} + \frac{5}{{16}} + \frac{7}{{144}} + \frac{9}{{400}} + .....

• 1
$\frac{99}{100}$
• 2
$\frac{999}{1000}$
• 3
$\frac{9999}{10000}$
• 41

## 09.11.2.3+12.3.4+13.4.5+14.5.6$\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+\frac{1}{4.5.6}$\frac{1}{{1.2.3}} + \frac{1}{{2.3.4}} + \frac{1}{{3.4.5}} + \frac{1}{{4.5.6}}       is equal to = ?

• 1
$\frac{7}{30}$
• 2
$\frac{11}{30}$
• 3
$\frac{13}{30}$
• 4
$\frac{17}{30}$

## 10. The value of 1 + 14×3+14×32+14×32=?{\text{1 + }}\frac{1}{{4 \times 3}} + \frac{1}{{4 \times {3^2}}} + \frac{1}{{4 \times {3^2}}} = ?

• 1
$\frac{121}{108}$
• 2
$\frac{3}{2}$
• 3
$\frac{31}{2}$
• 4None of these
Page 1 Of 2