Question

Which of the following is greater than \(15 \dfrac{2}{3} \ ?\)
1. \(\dfrac{43}{5}\)
2. \(\dfrac{20}{2}\)
3. \(\dfrac{49}{4}\)
4. \(\dfrac{49}{3}\)

Answer 1

Correct Answer - Option 4 : \(\dfrac{49}{3}\)

Given:

Number = \(15 \dfrac{2}{3} \ \)= 47/3

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 = 47/3, 43/5

Now, 47 × 5 = 235

3 × 43 = 129

235 > 129

⇒ 47/3 > 43/5

Similarly, Checking option (2), we get

Numbers = 47/3, 20/2

Now, 47 × 2 = 94

3 × 20 = 60

94 > 60

⇒ 47/3 > 20/2

Similarly, Checking option (3), we get

Numbers = 47/3, 49/4

Now, 47 × 4 = 188

3 × 49 = 147

188 > 147

⇒ 47/3 > 49/4

Similarly, Checking option (4), we get

Numbers = 47/3, 49/3

Now, 47 × 3 = 141

3 × 49 = 147

141 < 147

⇒ 47/3 < 49/3

∴ The number greater than 47/3 is 49/3.