NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 1: Number System - Problems and Solutions
Question 155

Question. 155

As per the census of 2001, the population of four states are given. Arrange in ascending and descending order.

(a) Maharashtra: 96878627

(b) Andhra Pradesh: 76210007

(c) Bihar: 82998509

(d) Uttar Pradesh: 166197921

Answer:

Ascending: Andhra Pradesh (76210007) < Bihar (82998509) < Maharashtra (96878627) < Uttar Pradesh (166197921)

Descending: Uttar Pradesh > Maharashtra > Bihar > Andhra Pradesh

Detailed Answer with Explanation:

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

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