Question

Which of the following is greater than \(11 \dfrac{2}{3} \ ?\)
1. \(\dfrac{252}{23}\)
2. \(\dfrac{107}{9}\)
3. \(\dfrac{69}{6}\)
4. \(\dfrac{139}{12}\)

Answer 1

Correct Answer - Option 2 : \(\dfrac{107}{9}\)

Given:

Number = \(11 \dfrac{2}{3} \ \)= 35/3

Concept Used:

For 2 numbers a/b, c/d

If a × d > b × c, then

a/b > c/d

Calculations:

Checking option (1), we get

Numbers = 35/3, 252/23

Now, 35 × 23 = 805

3 × 252 = 756

805 > 756

⇒ 35/3 > 252/23

Similarly, Checking option (2), we get

Numbers = 35/3, 107/9

Now, 35 × 9 = 315

3 × 107 = 321

315 < 321

⇒ 35/3 < 107/9

Similarly, Checking option (3), we get

Numbers = 35/3, 69/6

Now, 35 × 6 = 210

3 × 69 = 207

210 > 207

⇒ 35/3 > 69/6

Similarly, Checking option (4), we get

Numbers = 35/3, 139/12

Now, 35 × 12 = 420

3 × 139 = 417

420 > 417

⇒ 35/3 > 139/12

Out of the 4 options, 107/9 > 35/3

∴ The number greater than 35/3 is 107/9.