Q64.The total number of 4 -digit numbers whose greatest common divisor with 54 is 2 , is
What This Question Tests
This question combines number theory concepts like GCD with counting principles. It requires finding 4-digit numbers whose GCD with 54 is exactly 2, necessitating careful use of divisibility rules and properties of GCD.
Concepts Tested
Formulas Used
GCD(a,b)
Principle of Inclusion-Exclusion
๐ NCERT Sections This Tests
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?
6.11 โ Dynamics Of Rotational
Physics Class 11 ยท Chapter 6
6.11 Dynamics of rotational the motion of extended bodies. motion about a fixed axis A large class of problems with extended bodies can be
๐ Question Details
- Chapter
- Permutation & Combination
- Topic
- Counting numbers with specific GCD
- Year
- 2023
- Shift
- 29 Jan Shift 2
- Q Number
- Q64
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 7: Permutations and Combinations (counting principles)
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