Q83.The sum of all 3 -digit numbers less than or equal to 500, that are formed without using the digit 1 and they all are multiple of 11, is ______.
What This Question Tests
This question combines number theory (divisibility by 11 and digit restrictions) with sequences and series (finding the sum of an arithmetic progression), requiring careful enumeration and application of conditions.
Concepts Tested
Formulas Used
Sum of AP: S = n/2 (a + l)
Divisibility rule for 11
Counting numbers in a range
📚 NCERT Sections This Tests
6.11 — Dynamics Of Rotational
Physics Class 11 · 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
8.17 — Complete Each Synthesis By Giving Missing Starting Material, Reagent Or Products
Chemistry Class 12 · Chapter 8
8.17 Complete each synthesis by giving missing starting material, reagent or products
2.2 — A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 · Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Arithmetic Progression, Divisibility by 11
- Year
- 2021
- Shift
- 26 Aug Shift 2
- Q Number
- Q83
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
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