Q83.The total number of 4 -digit numbers whose greatest common divisor with 18 is 3 is _____.
What This Question Tests
This question is a challenging number theory problem that involves counting 4-digit numbers whose greatest common divisor with 18 is 3, requiring careful application of divisibility rules and the principle of inclusion-exclusion.
Concepts Tested
Formulas Used
Inclusion-Exclusion Principle
Properties of GCD
๐ NCERT Sections This Tests
1.18 โ A Point Charge Of 2.0 Mc Is At The Centre Of A Cubic Gaussian
Physics Class 11 ยท Chapter 1
1.18 A point charge of 2.0 mC is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
12.5 โ A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 ยท Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
5.12 โ Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
Chemistry Class 11 ยท Chapter 5
5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
๐ Question Details
- Chapter
- Permutation & Combination
- Topic
- Divisibility and GCD
- Year
- 2021
- Shift
- 26 Feb Shift 2
- Q Number
- Q83
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 7: Permutations and Combinations
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