Skip to content
Numerical Problems · Q8

Q.For a region, the infant mortality rate is 28 per 1,000 live births, life expectancy at age one is 65 years, and the literacy rate is 74%. Using the standard PQLI scale (Infant Mortality Index: 229 = 0, 7 = 100; Life Expectancy at age 1 Index: 38 years = 0, 77 years = 100; Literacy Index = literacy rate itself), compute the PQLI for this region.

Gujarat GsebTextbookSubjectiveImportance★★★★★
31% · 11/36 Questions
🔒 Locked · start free trial →

You're viewing a preview — the full solution, concept, methods & PYQ mapping are locked.

Start your 14-day free trial to unlock the full solution →

Step 1: Infant Mortality Index (IMI)

IMI=229−28229−7×100=201222×100=90.54IMI = \dfrac{229 - 28}{229 - 7}\times 100 = \dfrac{201}{222}\times 100 = 90.54

Step 2: Life Expectancy Index (LEI)

LEI=65−3877−38×100=2739×100=69.23LEI = \dfrac{65 - 38}{77 - 38}\times 100 = \dfrac{27}{39}\times 100 = 69.23

Step 3: Literacy Index = 74 (the literacy rate itself, already on a 0-100 scale).

Step 4: PQLI

PQLI=90.54+69.23+743=233.773=77.92PQLI = \dfrac{90.54 + 69.23 + 74}{3} = \dfrac{233.77}{3} = 77.92 …

Unlock everything free for 14 days

  • Full step-by-step solutions
  • Concept-first explanations
  • Methods, shortcuts & mistakes
  • PYQ mapping + timed mock tests

Full access for 14 days. No credit card required.