Q84.The number of elements in the set {n ∈{1, 2, 3, … , 100} ∣(11)n > (10)n + (9)n} is ___________.
What This Question Tests
This question tests the understanding of inequalities involving exponential terms, requiring analysis of the function behavior for different values of n to determine when the inequality holds true.
Concepts Tested
Formulas Used
(1+x)^n expansion (qualitative understanding)
📚 NCERT Sections This Tests
1.27 — If The Solubility Product Of Cus Is 6 × 10–16, Calculate The Maximum Molarity Of
Chemistry Class 11 · Chapter 1
1.27 If the solubility product of CuS is 6 × 10–16, calculate the maximum molarity of CuS in aqueous solution.
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
1.4 — Concentrated Nitric Acid Used In Laboratory Work Is 68% Nitric Acid By Mass In
Chemistry Class 11 · Chapter 1
1.4 Concentrated nitric acid used in laboratory work is 68% nitric acid by mass in aqueous solution. What should be the molarity of such a sample of the acid if the density of the solution is 1.504 g mL–1? 27 Solutions Reprint 2025-26
📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Inequalities
- Year
- 2021
- Shift
- 22 Jul Shift 1
- Q Number
- Q84
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 6: Linear Inequalities
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