These are sample practice MCQs created for exam preparation. These are NOT official exam questions.
What is the value of x²y? (1) x²y² = 64 (2) x and y are positive integers with x > y
Question:
What is the value of x²y? (1) x²y² = 64 (2) x and y are positive integers with x > y
What is the value of x²y? (1) x²y² = 64 (2) x and y are positive integers with x > y
Options
Answer: (E) Statements (1) and (2) TOGETHER are NOT sufficient
Explanation:
Statement (1): x²y² = 64 means |xy| = 8, so x²y could be ±8x. Need to know x. Insufficient. Statement (2): x and y positive integers with x > y, but no numerical values. Insufficient. Together: xy = 8 or xy = -8. Since positive integers, xy = 8. Possible pairs: (8,1), (4,2). If x = 8, y = 1: x²y = 64. If x = 4, y = 2: x²y = 32. Different values. Insufficient.
Explanation:
Statement (1): x²y² = 64 means |xy| = 8, so x²y could be ±8x. Need to know x. Insufficient. Statement (2): x and y positive integers with x > y, but no numerical values. Insufficient. Together: xy = 8 or xy = -8. Since positive integers, xy = 8. Possible pairs: (8,1), (4,2). If x = 8, y = 1: x²y = 64. If x = 4, y = 2: x²y = 32. Different values. Insufficient.
👉 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…