Q1. If a + b + c = 0 and ab + bc + ca = -14, find (a³ + b³ + c³) / (a⁵ + b⁵ + c⁵).
यदि a + b + c = 0 और ab + bc + ca = -14 है, तो (a³ + b³ + c³) / (a⁵ + b⁵ + c⁵) ज्ञात कीजिए।
Advanced Quantitative Aptitude Mixed Quiz | 15 Minutes Quiz
This published practice set contains 25 questions for competitive-exam preparation. Preview a few questions below, then start the full quiz to record your attempt. Answers and detailed explanations remain inside the submitted-attempt workflow so the preview does not reveal the solution before practice.
Sample Questions from Advanced Quantitative Aptitude Mixed Quiz | 15 Minutes Quiz
Use this preview to understand the level and coverage of the quiz. The complete attempt contains 25 questions.
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Q2. If f(x + y) = f(x)f(y), and f(1) = 2, then find f(5).
यदि f(x + y) = f(x)f(y), और f(1) = 2 है, तो f(5) ज्ञात कीजिए।
Q3. Find the least positive integer N such that N ≡ 2 (mod 3), N ≡ 3 (mod 5), and N ≡ 4 (mod 7).
सबसे छोटी धनात्मक संख्या N ज्ञात कीजिए, जिसके लिए N ≡ 2 (mod 3), N ≡ 3 (mod 5), और N ≡ 4 (mod 7) हो।
Q4. Find the locus of a point equidistant from (2,3) and (6,7).
(2,3) और (6,7) से समान दूरी पर स्थित बिंदु का बिंदुपथ ज्ञात कीजिए।
Q5. Two cards are drawn without replacement. Find the probability that both are kings given that at least one card is a king.
दो पत्ते बिना replacement के निकाले जाते हैं। यदि कम से कम एक पत्ता बादशाह है, तो दोनों पत्तों के बादशाह होने की प्रायिकता ज्ञात कीजिए।
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