Three grades of milk are 1 percent, 2 percent and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade and z gallons of the 3 percent grade are mixed to give x+y+z gallons of the 1.5 percent grade, what is x in terms of y and z.?
a) y+3z
b)y+z/4
c)2y+3z
d)3y+z
What is the maximum value of 4x-3y , when 16x^2 + 9y^2 = 25
Any one having previous year CAT topicwise question papers pdf (CAT till 2010) ???
If an individual is allotted in cap round 1, and if he doesn't want the college, then can he apply for cap round 2? Or he has to compulsorily take the college?
Value of :1/(2^2 - 1^2) + 1/(3^2 - 2^2) + .........1/(25^2-24^2)..?
Permutation and Combination
5 digit nos are formed by using the digits 1,2,3,4,5... Find the count of nos. with exactly 3 different digits..
Also find their sum!!
There are 4 different balls
No box is empty and no ball is left outside
Answer along with explanations!!
what is the sum of all the natural numbers less than 120 and coprime to it?
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How many linear arrangements of M white balls and (N-M) black balls are possible such that each pair of white ball is separated by atleast 2 black balls? The white balls are indistinguishable among themselves and the black balls are indistinguishable among themselves.
An intelligence agency decides on a code of 2 digits selected from 0,1,2,3,4,...9.but the slip on which the code is handwritten allows confusion between top and bottom,because they are indistinguishable.thus,for example,the code 91 could be confused with 16.how many codes are there such that there is no possibility of any confusion?
a)25 b)75 c)80 d)none of these
Two men under take a job for Rs. 960. They can complete it in 16 days and 24 days. They work along a third person and take 8 days to complete it. Find the share that the third man should get.
Ramesh was born in the twentieth century. How old is he in 2001,if the number formed by the last two digits of the year(N), is divided by the sum of its digits the result is also equal to the sum of the digits of N?
a)15 yrs
b)20yrs
c)24yrs
d)cannot be determined
How many positive integers less than 10,000 are there in which the sum of the digits equals 5?
(A) 31
(B) 51
(C) 56
(D) 62
(E) 93
Please post the procedure as well. Thanks! 😃
M is a 2 digit no. Which has the property that the product of factorials of it's digits is greater than sum of factorials of its digits,how many values of M exist.??
What's the length of the smallest cut, which is required to divide an isosceles right angled triangle ABC - right angled at B - into two equal areas, if AB=4 ?
PS: OA not available
If a, b and c are the sides of a triangle, then the minimum value of (a^2 + b^2)/ c^2 is nearest to
A. 1
B. 2
C. 1/2
D. 1/3
Please tell how to solve this. Thanks.
Two runners A and B started running simultaneously from points P and Q for Q and P respectively. They met at a point, S, and after that they took 18/5 min and 10 min respectively to reach their respective destinations. After how much time, from the start, did they meet each other at point S?
A. 6 B .3 C. 6.4 D. 3.2
Explanation- how to do this. Thanks
QM Sarani is a street providing access to the houses in Lane 1 and Lane 2, located to the right and left of the street respectively. There are 20 houses in each of the lanes and are so located that first house in Lane 1 is exactly opposite to the first house in Lane 2, and so on. In how many distinct ways can x number of houses be selected for a survey such that:
(a) any selected pair of houses belonging to the same lane must be separated by at least two houses of that lane;
(b) if a house is selected, then the house exactly opposite to it in the other lane must not be selected;
(c) x is 2 and 3
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