Besides, the data for eight core infrastructure sectors including coal, steel, cement and petroleum, showed improved growth of 6.7 per cent for January, up from 3.4 per cent in same month a year ago.
The finance ministry said that the data indicate a broad-based and significant acceleration of real economic activity as projected in the Economic Survey.
"...robust growth in manufacturing and significant acceleration in construction mark a turnaround in the countrys economic growth momentum," the ministry said in a statement.
He said the growth will pick up further in the upcoming quarter driven by the government's commitment to implement structural reforms and aided by higher growth in the industrial and services sector as well as spending by the Centre.
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"India is on the right path to become one of the fastest major economy in the World surpassing China," Debroy said.
The economy is expected to grow at 6.6 per cent in the current fiscal ending March 31, as per the second advanced estimates of the Central Statistics Office (CSO), compared to 7.1 per cent in 2016-17.
The growth for the second quarter (July-September) has been revised upwards to 6.5 per cent, from 6.3 per cent estimated earlier by the CSO.
The previous high was recorded at 7.5 per cent in the July-September quarter of 2016-17.
The CSO said that the real GDP or Gross Domestic Product (GDP) at constant (2011-12) prices in 2017-18 is likely to be Rs 130.04 lakh crore, as against the first revised estimate for 2016-17 of Rs 121.96 lakh crore, released on January 31.
CII Director General Chandrajit Banerjee said: "The significant improvement in GDP growth, which has accelerated to a robust 7.2 per cent in the third quarter as against 6.5 per cent in the previous quarter is noteworthy and strengthens the perception that the Indian economy is at the threshold of a sustained rebound in growth."
Similarly, the farm sector GVA grew at 4.1 per cent compared to 2.7 per cent in the previous quarter. The construction sector recorded a growth of 6.8 per cent, higher than 2.8 per cent in previous quarter.
The services segment including financial services grew at rate of 6.7 per cent up from 6.4 per cent in previous quarter.
As per the data, eight core sectors -- coal, crude oil, natural gas, refinery products, fertilisers, steel, cement and electricity -- had grown by 4.2 per cent in December, and 7.4 per cent in November of the current financial year.
Electricity generation growth also fast paced to 8.2 per cent in January against 5.2 per cent in January 2017.
Coal sector output improved by 3 per cent and steel production by 3.7 per cent in January 2018.
Crude oil production however dropped 3.2 per cent, fertilisers by 1.6 per cent and natural gas by 1 per cent in the month under review.
Cumulatively, the growth in the eight core sectors during April-January this fiscal slowed to 4.3 per cent as against 5.1 per cent in the same period last fiscal.