NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 1: Number System - Problems and Solutions

Question 155

Given populations (2001):

• Maharashtra: 96,878,627
• Andhra Pradesh: 76,210,007
• Bihar: 82,998,509
• Uttar Pradesh: 166,197,921

Step 1: Rewrite in Indian place-value (crore–lakh–thousand)

• Andhra Pradesh: 7,62,10,007 = 7 crore 62 lakh 10 thousand 7
• Bihar: 8,29,98,509 = 8 crore 29 lakh 98 thousand 509
• Maharashtra: 9,68,78,627 = 9 crore 68 lakh 78 thousand 627
• Uttar Pradesh: 16,61,97,921 = 16 crore 61 lakh 97 thousand 921

Step 2: Compare digit counts

Numbers with more digits are larger.

• Uttar Pradesh has 9 digits (166,197,921) ⇒ largest group.
• Andhra Pradesh, Bihar, Maharashtra have 8 digits ⇒ compare these next.

Step 3: Compare the 8-digit numbers by crores, then lakhs if needed

Crores:  Andhra Pradesh = 7
         Bihar          = 8
         Maharashtra    = 9
  

9 crores > 8 crores > 7 crores.

Therefore among these three: Maharashtra > Bihar > Andhra Pradesh.

Step 4: Write orders

Ascending (small to big):

1. Andhra Pradesh — 76,210,007
2. Bihar — 82,998,509
3. Maharashtra — 96,878,627
4. Uttar Pradesh — 166,197,921

Descending (big to small):

1. Uttar Pradesh — 166,197,921
2. Maharashtra — 96,878,627
3. Bihar — 82,998,509
4. Andhra Pradesh — 76,210,007

One-line answers to insert in your solution

Ascending: Andhra Pradesh (76,210,007) < Bihar (82,998,509) < Maharashtra (96,878,627) < Uttar Pradesh (166,197,921)

Descending: Uttar Pradesh > Maharashtra > Bihar > Andhra Pradesh