TCS Company Numerical Ability Averages

Average age of a class of 40 girls is reduced by 1 year when 10 girls whose average age is 20 years, are discharged and 10 new girls are admitted find the average age of new comers?

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TCS Other Question

we are having 54 men doing hand shake in set what will be minimum required hand shakes
for minimum 1 hand shake?
the smallest number which when divided by 10, 15, 20, 35 leaves 6,11,16,31 as remainder is...