Gold and copper are heavier that water by 19 and 9 times respectively. In what proportion should they mixed to form an alloy so that it will be heavier that water by 12 times?
Consider the numbers between 300 and 400 such that when each number is divided by 6,9 and 12, it leaves 4 as remainder in each case. What is the SUM of the numbers?
Solution
Numbers satisfying the condition that it leaves 4 as remainder when divided by 6 are 310,316,322,328,334,340,346,352,358,364,370,376,382,388,394
Numbers satisfying the condition that it leaves 4 as remainder when divided by 9 are 310,319,328,337,346,355,364,373,382,391
Numbers satisfying the condition that it leaves 4 as remainder when divided by 12 are 316,328,340,352,364,376,388
common numbers are 328,364 so sum = 692
A cylinder having a base of circumference 60 cm is rolling without sliding at the rate of 5 rounds per second. How much will the cylinder roll in 5 seconds ?