In how many ways 2050 can be written as the sum of two or more consecutive positive integers?
A grasshopper hops 1 meter in four directions - north, south, east and west - and leaves a blot wherever it lands, and returns to the original position before hopping again. In the first stage, the grasshopper starts from a point S and hops in all four directions. In the second stage, the grasshopper uses the previous blots as starting points and hops in all four directions. In the third stage, the grasshopper uses the new blots left in the second stage as starting points and hops in all four directions. If the grasshopper continues this pattern of hopping from new starting points and leaving blots where ever it lands, which of the following cannot be the total number of distinct blots, other than S, left by the grass hopper after any stage?
112
312
480
860
Bhanwar's Restaurant buys equal quantities of milk from three milkmen - Gokudas, Shyamsunder and Kishenlal. The milk bought from these three milkmen contain water, such that the percentages of water form a geometric progression respectively. For making milkshakes, Bhanwar mixes the milk bought from the milkmen in the ratio 2 : 3 : 4 respectively, so that the mixture contains 52% water. For making faludas, Bhanwar mixes the milk bought from the milkmen in the ratio 6 : 5 : 4 respectively, so that the mixture contains 36% water.
What is the percentage of water in the total quantity of milk bought from the three milkmen?
If a, b, c, d, e
and f are non negative real numbers such that a + b + c + d + e + f = 1,
then the maximum value of (ab + bc + cd + de + ef) is
- 6
- 1/6
- 1
- 1/4
0 voters
Approach?
APPROACH..
A month is a randomly selected from the months in a non leap year and it is found that it has 5 sundays. What is the probability that it has 5 mondays?
- 1/7
- 20/33
- 2/3
- 1/2
0 voters
What is the importance of solving past papers? I'm planning to solve past papers (1992-2013). Also, should they be taken in a mock test format or is it ok to attempt them topic wise? Thanks.
Suppose for any real number x, [x] denotes the greatest integer less than or equal to x. Let L(x, y) = [x] + [y] + [x + y] and R(x, y) = [2x] + [2y]. Then it is impossible to find any two positive real numbers x and y for which(I am getting 4th as answer but in the source none of these is given, someone pls confirm). Thanks in advance.
- L(x, y) = R(x, y)
- L(x, y) < R(x, y)
- L(x, y) ≠ R(x, y)
- L(x, y) > R(x, y)
- None of these
0 voters
123123......... 300 digits ..remainder when divided by 99
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hey guys... I hope all of you are preparing well for CAT... giving you all a free hand of help... from a guy who secured 97 percentile in CAT 2014. Like below page and shoot queries...
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Two people started simultaneously towards each other from siliguri and Darjeeling, which are 60 km apart. They met 5 hrs later. After their meeting, the first person who travelled from siliguri to Darjeeling, decreased his speed by 1.5 km/hr and the other person increased his speed by 1.5 km/h the first person arrived at darjeeling 2.5 hr earlier than the second person arrived at siliguri. Find the initial speed of the first person
Let f(x) be a function satisfying f(x).f(y) = f(x.y) for all real x, y. If f(2) = 4, then what is the value of f(1/2)?
- 1/4
- Non of these
- 0
0 voters
Please explain Q30.
444th term of the sequence- 1, 2, 3, 10, 11, 12, 13, 20,-----?