Incomes of A and B are in the ratio 4:5 and expenditures are in the ratio 3:4. Then If incomes are 400 and 500, and expenditures are 30 and 40 then B saves more. However if expenditures are 330 and 440, A saves more. Can anyone deduce the logic for threshold (if exists) value upto which B saves more ?
Also, If Incomes of A and B are in the ratio 4:5 and expenditures in ration 5:6, whatever be the absolute value of their incomes and expenditures, B will always be saving more. Can you generalize what we have observed here ?
In the sequence 1,9,7,7,4,7,5,3,9,4,1,… every digit from the fifth on is the sum of the preceding 4 digits mod 10.Does one of the following set ever occur in the sequence?
How many times do you get the number zero when numbers from 1 to 3333 are written down (assuming that a one digit number is NOT written as 000x and so on)?
A cube is divided into eight smaller cubes each of which has an edge of length equal to half the length of the edge of the bigger cube. Also each edge of the smaller cubes represents a path. Find the no. of ways of reaching the diagonally opposite point of the bigger cube from one any one corner, so that one has to travel the shortest distance.
there are 10 pair of socks in a bucket from that 4 individual socks are to be picked at random. what is the probability that there is atleast one pair of socks in (1-condition of no pairs)?please tell the approach
Let a(1), a(2),..a(2011) represents the arbitrary arrangement of the numbers 1, 2,..2011. Then what is the remainder when {a(1) – 1}{a(2) – 2}..{a(2011) – 2011} is divided by 2?
The rate of consumption of electricity by a metro train varies as the square of its speed (in km/hr). Consumption of electricity is 1000 kw/hour when the speed of the metro train is 40 km/hr. All other costs to run the metro train is Rs. 12 per hour. If the cost of electricity is Rs. 15 per 100 kw-hour, then of the following which is the speed (in km/hr) at which the train can run such that the total cost of running the train per kilometer is Rs. 7.65? options--80 90 60 180 120 ans 80
2 freshmen, 2 seniors and 5 juniors form a line. In how many ways can they do it if freshmen are apart (from one another) and seniors are also apart (from one another).
ABC is a triangle with circumcenter O, obtuse angle BAC and AB less than AC. M and N are the midpoints of BC and AO respectively. Let D be the intersection of MN with AC. If AD=1/2(AB+AC), what is the measure (in degrees) of ∠BAC?
In how many ways can you distribute 25 candies to 4 children such that each child will receive from 2 up to 16 candies only (minimum of 2 and maximum of 16 candies for any child)
In an election, there are two candidates, 'A' and 'B', who have 10 supporters each. Each supporter, independent of other supporters, has a ½ (0.5) probability of voting for his or her candidate and a ½ (0.5) probability of being lazy and not voting. What is the probability of a tie (which includes the case in which no one votes)?
