For the following questions answer them individually
Two pipes P and Q can fill a tank in 40 minutes and 30 minutes respectively. Both pipes are opened simultaneously and after 10 minutes pipe Q is closed. In what time after this will the tank get filled up?
Read the following information carefully and answer the question given below.
Eight friends— A, B, C, D, E, F, G and H are sitting around a circular table facing the centre. Each one of them likes different brands of television—Onida, Sony, Samsung, Micromax, TCL, LG, Toshiba and Sansui, but not necessarily in the same order.
A sits third to the right of the person who likes Sansui. A does not like Samsung. E is not an immediate neighbour of H. C sits on the immediate right of the person who likes Samsung. Neither A nor H likes TCL or a Sony. The person who likes TCL is not an immediate neighbour of the person who likes Sansui. The person who likes Onida sits second to the left of E. The person who likes Onida is an immediate neighbour of the both persons who like LG and Toshiba. Person who likes Toshiba sits third to the right of B. B does not like TCL. F is not an immediate neighbour of A. G is not an immediate neighbour of the person who likes Onida. Only two people sit between the person who likes Toshiba and H. The persons who like TCL and the Sony are immediate neighbours of each other.
Which of the following brands of television is liked by H ?
What is the area of the sector covered by the hour-hand of a clock while moving from the number 12 to number 3, if the length of the hour-hand is 7 cm ?
In a shooting test, the probabilities of hitting the target are $$\frac{1}{2}$$ for A, $$\frac{2}{3}$$ for B and $$\frac{3}{4}$$ for C. If they fire at the same target, what is the probability that only one of them hits the target?
Ten observations written in descending order are 45, 34, 32, 30, 2x - 13, x + 1, 17, 15, 14 and 8. If the median is 24, then find 'x'.
