The missile was sacked from Abdul Kalam island off the coast of the eastern Indian state of Odisha on Thursday morning.
The missile was tested from Abdul Kalam Island off the Odisha coast.
In the medium range ballistic missile category (1,000-3,500km), India has Agni-I (700-1,250km), Agni-II (2,000km) and Agni-III (3,000km).
India's indigenously-developed nuclear-capable Agni-5 inter-continental ballistic missile (ICBM), which can reach targets as far as Beijing, was successfully test fired on Thursday.
17 metres tall and 50 tonnes in weight, Agni V's three stages are powered by solid propellants. This means that the missile can hit nearly all of China and Europe.
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All those who died are believed to be Uzbek nationals, an interior ministry official told Interfax-Kazakhstan news agency. The cause of the fire was not immediately clear, but investigators suspect it was triggered by a short circuit.
Relations between India and China have been strained in recent times over a border dispute in the Himalayan region of Doklam. "Now the missile is ready for the production", the official added. China said the test was against UN Security Council rules and that it threatened to disrupt the strategic geopolitical balance in South Asia.
This is the fifth time India has tested the Agni 5 since it was introduced in 2012. "The nuclear security situation remains grave".
That capacity is expected to send a message to India's northern neighbors, Pakistan and China, which have substantial nuclear arsenals of their own and share fraught relationships with their rival to the south.
The statement made no mention of China. The two leaders, both considered faces of stark changes in their home countries, spoke glowingly of what the countries could accomplish by working together, CNN reported.
The Federation of Indian Scientists estimates that India has about 120 to 130 nuclear warheads at its disposal, compared to several thousand possessed by the U.S.