TCS Company Numerical Ability Arithmetic

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?
option
(a) 4
(b) 10
(c) 15
(d) 16

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TCS Other Question

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
option
(a) 360
(b) 480
(c) 720
(d) 5040
Two trains move in the same direction at speeds 50 kmph and 32 kmph respectively. A man in the slower train observes that 15 seconds elapse before the faster train completely passes by him. What is the length of faster train?
(a) 100m
(b) 75m
(c) 120m
(d) 50m