NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 3: Integers - Problems and Solutions

Question 76

1. We need integers that are:
   • less than ( -100 )
   • but greater than ( -150 )
   This means: ( -150 < n < -100 )
2. On a number line, as you go left, numbers get smaller.
   The part between ( -100 ) and ( -150 ) has many integers.
3. Start just below ( -100 ):
   The first few are ( -101, -102, -103, ldots )
   Keep going until just above ( -150 ):
   ( ldots, -149, -148, ldots )
4. Choose any five integers in this open interval.
   Example set: ( -101, -110, -120, -130, -149 )
5. Quick check:
   ( -101 < -100 ) and ( -101 > -150 ) ✓
   ( -149 < -100 ) and ( -149 > -150 ) ✓
   All chosen numbers satisfy ( -150 < n < -100 ).

Note: Many other correct answers are possible, e.g., ( -102, -105, -115, -140, -148 ).