Syntel Company Numerical Ability Time Distance and Speed

A person starts with the speed of u/1 kmph and returns with the speed of u/2 kmph, what is his average speed.

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Syntel Other Question

Mr X position in a class is 13th from first and 17th from last, and 8th from the first and 13th from last in passed candidates list, then how many candidates failed in the exam

In a right angled triangle ABC angle B = 90 , BM is the median to AC , then AB^2 + BC^2 (in terms of BM)