Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Which of the following statements is/are true?

1. \(\sqrt {11}\) + \(\sqrt {7}\) < \(\sqrt {10}\) + \(\sqrt {8}\)

2. \(\sqrt {17}\) + \(\sqrt {11}\) > \(\sqrt {15}\) + \(\sqrt {13}\)

Options:

Only 1

Only 2

Both

None

Correct Answer:

Only 1

Explanation:

1. \(\sqrt {11}\) + \(\sqrt {7}\) < \(\sqrt {10}\) + \(\sqrt {8}\)

⇒ 11 × 7 < 10 × 8

⇒ 77 < 80 ⇒ True

2. \(\sqrt {17}\) + \(\sqrt {11}\) > \(\sqrt {15}\) + \(\sqrt {13}\)

⇒ 17 × 11 > 15 × 13

⇒ 187 > 195 ⇒ Wrong