Q1. If x + y + z = 6 and xy + yz + zx = 9, find x³ + y³ + z³ − 3xyz.
यदि x + y + z = 6 तथा xy + yz + zx = 9 है, तो x³ + y³ + z³ − 3xyz ज्ञात कीजिए।
Ultra Tough SSC CGL Maths Set 4 |
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Sample Questions from Ultra Tough SSC CGL Maths Set 4 |
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Q2. If α and β are roots of x² − 8x + 7 = 0, find α/β + β/α.
यदि x² − 8x + 7 = 0 के मूल α और β हैं, तो α/β + β/α ज्ञात कीजिए।
Q3. Find the least positive integer N such that N ≡ 5 (mod 7), N ≡ 4 (mod 9), and N ≡ 3 (mod 11).
सबसे छोटी धनात्मक संख्या N ज्ञात कीजिए जिसके लिए N ≡ 5 (mod 7), N ≡ 4 (mod 9) तथा N ≡ 3 (mod 11) हो।
Q4. The distance between point (a,b) and (2a,3b) is 10. If a²+b²=20, find ab.
बिंदु (a,b) तथा (2a,3b) के बीच की दूरी 10 है। यदि a²+b²=20 है, तो ab ज्ञात कीजिए।
Q5. Three cards are drawn from a deck. Find probability that exactly two are kings.
एक ताश की गड्डी से 3 पत्ते निकाले जाते हैं। ठीक दो बादशाह आने की प्रायिकता ज्ञात कीजिए।
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