Arrange the following numbers in increasing order : A. \sqrt{59}-\sqrt{51} B. \sqrt{37}-\sqrt{29} C. \sqrt{87}-\sqrt{79} D. \sqrt{79}-\sqrt{71} Choose the correct answer from the options given below:

Correct Answer is : C < D < A < B

CMAT Exam 2023 Shift 2 Solved Paper

Question : 20 of 100

Marks: +1, -0

Arrange the following numbers in increasing order :
A.

{√{59}}-{√{51}}

{√{37}}-{√{29}}

{√{87}}-{√{79}}

{√{79}}-{√{71}}

Choose the correct answer from the options given below:

Solution:

\;8=({√{59}}-{√{51}})({√{59}}+{√{51}})

\;8=({√{37}}-{√{29}})({√{37}}+{√{29}})

We know that,

{√{59}}+{√{51}}

is greater than

{√{37}}+{√{29}}

This implies,

{√{37}}-{√{29}}

is greater than

{√{59}}-{√{51}}

as the product is constant.
Similarly,

{√{59}}-{√{51}}

is greater than

{√{79}}-{√{71}}

and

{√{79}}-{√{71}}

is greater than

{√{87}}-{√{79}}

.
The correct order is

B>A>D>C

The answer is option

{\D}

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