1] A horse can pull an empty cart at the speed of 18 kmph per hr & the reduction in its speed is directly proportional to the square root of the number of boxes it can carry of equal weight of 10 kg each. If the speed of the cart is 12 km per hr, when 9 boxes are loaded in the cart. Find the max weight that can be carried if the speed of the cart is to be maintained atleast 10 kmph
a] 16 kg b] 160 kg c] 100kg d] 159 kg
2] 3 friends A,B & C started a firm by investing in the ratio of 2:3:4 respectively. A withdrew half of his money after some months. A few months before the end of the yr, C too withdrew 1/4 of his money. If they distributed their profits in the ratio 2:4:5 respectively, then after how many months did C withdrew 1/4th of his money ?
a] 6 b] 9 c] 4 d] cannot be determined
3] If m/n = p/q = a/b = 1/3 find the value of 2m^2+p^2+3a^2/ 2n^2+q^2+3b^2
a] 6 b] 9 c] 4 d] 1/9
4] Rajesh & suraj run around a circular track of 1000 m in circumference. Rajesh can run 50 m in 5 s & suraj can run a distance of 60 m in 5 s. What should be the head start given by the faster runner to the slower so that both the runners reach the finishing line at the same time?
a] 233.33 m
b] 200 m
c] 188.89 m
d] 166.67 m
5] X set out at 12 noon to walk from Borivali to Bandra & a friend of him Y started at 2 pm on the same day to walk from Bandra to Borivali by the same road. They met on the road at 5 mins past 4 & both of them reach their destination at exactly the same time. At what time did they both reach their destination ?
a] 5pm
b] 6 pm
c] 7 pm
d] 8 pm
explain ur answers in detail
