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The sum of the IQ score of Quant team having 4 SMEs and Average IQ score of Gate team having 3 SMEs were 600 and 170 respectively. Recently, one SME of the Quant team switched to the Gate team and two new SME join the Quant team due to which the average IQ score of Quant team increased by 40% and average IQ score of both the teams becomes equal. Find the IQ score of the SME who switched to the Gate team.

The sum of the IQ score of Quant team having 4 SMEs and Average IQ score of Gate team having 3 SMEs were 600 and 170 respectively. Recently, one SME of the Quant team switched to the Gate team and two new SME join the Quant team due to which the average IQ score of Quant team increased by 40% and average IQ score of both the teams becomes equal. Find the IQ score of the SME who switched to the Gate team. Correct Answer 330

Average IQ score of Quant team having 4 SMEs = 600/4 = 150

Since average IQ score of Quant team increased by 40% after two new members join the Quant team;

∴ New average IQ score of Quant team = 150 × 1.4 = 210

Since the average IQ score of both the teams becomes equal;

∴ New average IQ score of Gate team when one member of the Quant team switched to the Gate team = 210

∴ IQ score of the SME who switched to the Gate team = 210 × 4 – (170 × 3) = 330

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