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Official PYQ · 2015

GATE CS 2015 Set 3 QGA-10 — General Aptitude

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The exports and imports (in crores of RsRs.) of a country from the year 20002000 to 20072007 are given in the following bar chart. In which year is the combined percentage increase in imports and exports the highest?

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Answer: 2006

To find the year with the highest combined percentage increase in imports and exports, we first calculate the combined value (Exports + Imports) for each year from the bar chart:

  • 2000: 30+40=7030 + 40 = 70
  • 2001: 40+50=9040 + 50 = 90
  • 2002: 50+60=11050 + 60 = 110
  • 2003: 60+70=13060 + 70 = 130
  • 2004: 70+80=15070 + 80 = 150
  • 2005: 80+90=17080 + 90 = 170
  • 2006: 120+130=250120 + 130 = 250
  • 2007: 130+140=270130 + 140 = 270

Next, we calculate the percentage increase for each year relative to the previous year:

  • 2001: 90−7070×100%≈28.57%\frac{90 - 70}{70} \times 100\% \approx 28.57\%
  • 2002: 110−9090×100%≈22.22%\frac{110 - 90}{90} \times 100\% \approx 22.22\%
  • 2003: 130−110110×100%≈18.18%\frac{130 - 110}{110} \times 100\% \approx 18.18\%
  • 2004: 150−130130×100%≈15.38%\frac{150 - 130}{130} \times 100\% \approx 15.38\%
  • 2005: 170−150150×100%≈13.33%\frac{170 - 150}{150} \times 100\% \approx 13.33\%
  • 2006: 250−170170×100%=80170×100%≈47.06%\frac{250 - 170}{170} \times 100\% = \frac{80}{170} \times 100\% \approx 47.06\%
  • 2007: 270−250250×100%=8.00%\frac{270 - 250}{250} \times 100\% = 8.00\%

The highest combined percentage increase occurs in the year 2006 with approximately 47.06%47.06\%.

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