These are sample practice MCQs created for exam preparation. These are NOT official exam questions.
If x > y > z > 0, which of the following is not true?
Question:
If x > y > z > 0, which of the following is not true?
If x > y > z > 0, which of the following is not true?
Options
Answer: (A) x - y > y - z
Explanation:
(A) Not necessarily true: x=10, y=6, z=5 gives 4 > 1 ✓, but x=10, y=9, z=1 gives 1 > 8 ✗. (B) True since x > y and z > 0, so xz > yz. (C) True since x > y and z > 0, so x/z > y/z. (D) True since x > y > 0 implies x² > y². (E) True since x > y > 0 implies 1/x < 1/y. All except (A) are true.
Explanation:
(A) Not necessarily true: x=10, y=6, z=5 gives 4 > 1 ✓, but x=10, y=9, z=1 gives 1 > 8 ✗. (B) True since x > y and z > 0, so xz > yz. (C) True since x > y and z > 0, so x/z > y/z. (D) True since x > y > 0 implies x² > y². (E) True since x > y > 0 implies 1/x < 1/y. All except (A) are true.
👉 Want AI explanation? Open in MCQ App
Recommended articles
- How To Cover Current Affairs For Upsc Prelims — Master UPSC Current Affairs with daily newspaper reading, Vision IAS monthly compilations, PT 365, and MCQ practice. Complete strategy guide for Prelims…
- Top 10 Daily Current Affairs Resources For Upsc Aspirants — Discover the best daily current affairs resources for UPSC 2026. Complete guide with The Hindu, PIB, Sansad TV, and 7 more proven sources. Expert…
- Free Cat Previous Year Questions Guide — Master CAT 2025 with free previous year questions. Practice 1000+ PYQs, mock tests, and detailed solutions. Complete guide to CAT preparation using past…