{"@context":"https://schema.org/","@type":"Quiz","dateCreated":"2025-01-06T08:37:33.769Z","dateModified":"2026-02-11T12:37:14.881Z","typicalAgeRange":"11-18","educationalLevel":"CUET (PG)","assesses":"Geophysics - Mathematics","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalTopic","targetName":"Mathematics"},{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"Geophysics"},{"@type":"AlignmentObject","alignmentType":"educationalExam","targetName":"CUET (PG)"}],"name":"Quiz about Mathematics","about":{"@type":"Thing","name":"Geophysics - Mathematics"},"hasPart":[{"@type":"Question","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","educationalLevel":"intermediate","name":"Question About Mathematics","text":"If $$ (\\sqrt{3} + 1)^n + (\\sqrt{3} - 1)^n = 4 $$, then the value of $$ n $$ is:}","encodingFormat":"text/markdown","comment":{"@type":"Comment","text":"Substitute different values of n into the equation to check for consistency."},"suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":1,"encodingFormat":"text/markdown","text":"

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":2,"encodingFormat":"text/markdown","text":"

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":3,"encodingFormat":"text/markdown","text":"

\$ \\frac{3}{2} \$

","comment":{"@type":"Comment","text":"\"\""}}],"acceptedAnswer":{"@type":"Answer","position":1,"encodingFormat":"text/markdown","text":"

","comment":{"@type":"Comment","text":"Substitute different values of n into the equation to check for consistency."},"answerExplanation":{"@type":"comment","text":"The equation holds true for n = 2, verifiable by direct substitution and calculation."}}}]}

Firm 2	Cooperate	Compete
Firm 1	5, 5	0, 10
Compete	10,0	2, 2

If \( (\sqrt{3} + 1)^n + (\sqrt{3} - 1)^n = 4 \), then the value of \( n \) is:

Show Hint

The Correct Option is B

Solution and Explanation

Top Questions on Mathematics

Questions Asked in CUET (PG) exam