The Organisation for Economic Cooperation and Development (OECD) is a grouping of 34 countries.
The readings are based on Composite Leading Indicators (CLIs), which indicate turning points in economic activity relative to trend, for the month of July.
"In India, growth continues to gain momentum while in China and Russia CLIs point to stabilisation of growth momentum. The CLI for Brazil suggests a tentative upward change in momentum," OECD said in a statement.
India's CLI in July rose to 99 compared to 98.9 in June. The same has been improving since it stood at 98.5 in March.
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India's Gross Domestic Product had expanded by 4.7 per cent in the April-June quarter of the last fiscal ended March 31. In the January-March period (last quarter of 2013-14), it was 4.6 per cent.
The previous high of GDP growth rate was recorded at 6 per cent in the October-December quarter of 2011-12.
Meanwhile, the grouping noted that CLIs continue to signal a stable growth momentum in most major economies.
"The CLIs for the OECD area as a whole as well as for the United States, Canada and United Kingdom continue to point to stable growth momentum," the statement said.
"The CLI for Japan continues to indicate an interruption in growth momentum though this may be related to one-off factors," the statement said.