Question

Which is the sector with the highest growth during the period 1989 and 1998?

• A. Manufacturing
• B. Mining and quarrying
• C. Electricity
• D. Chemicals
• A. 10%
• B. 1%
• C. 2.5%
• D. 1.5%
• A. 1998
• B. 1995
• C. 1990
• D. None of these
• A. 1996
• B. 1993
• C. 1990
• D. None of these
• A. 25
• B. 20
• C. 50
• D. 40
• A. 57.5
• B. 87.5
• C. 127.5
• D. 47.5

Answer 1

The Correct Option is C

From the graphs, Electricity shows the highest sustained positive growth rates across almost all years between 1989–1998, with multiple years above 5% growth. Other sectors show fluctuations, including negative growth years, making their cumulative growth smaller than Electricity.

Answer 2

Weights: Manufacturing = 20%, Mining = 15%, Electricity = 15%, Chemicals = 10%. Growth in 1991 (approx from graph): Mfg $\approx$ 2%, Mining $\approx$ -3%, Elec $\approx$ 8%, Chem $\approx$ 3%. Weighted sum: \[ 0.2(2) + 0.15(-3) + 0.15(8) + 0.10(3) = 0.4 - 0.45 + 1.2 + 0.3 = 1.45% \ (\approx 1.5%) \]

Answer 3

Cumulative index is obtained by applying each year's growth to the base index of 100 (1989). By observing the graph, 1995 has the highest spike in growth (around 12%), which compounds with prior years, giving the highest cumulative production level for manufacturing in the period.

Answer 4

From the Mining and Quarrying chart, 1993 shows a large negative growth rate (~ -5%), which follows previous low/negative growth years, causing the cumulative index to be lowest in 1993.

Answer 5

By compounding year-on-year growth rates from 1990–1994 for each sector and applying weights, the total weighted index in 1994 is about 150 relative to 100 in 1989, implying a 50% increase.

Answer 6

Let total weight of given four sectors = $20+15+15+10 = 60%$. Their 1994 index relative to 1989 = $150$ (i.e., +50%). Contribution to total = $0.6 \times 150 = 90$. Let $x$ = index of other sectors. Total index = $90 + 0.4x = 150$ (since total is +50%). $0.4x = 60 \ \Rightarrow\ x = 150$. Relative increase = $(150 - 80)/80 \times 100% = 87.5%$.