Last 2 digits of
34^576..??
In the plane, the points with integer coordinates are called lattice points. Suppose a flea in the plane jumps from one lattice point to another. Each jump is one unit to the right, one unit to the left, one unit up, or one unit down. If the flea starts at the origin and makes exactly 10 jumps, how many lattice points could possibly be the final landing place of the flea?
Outside of circle point A is chosen. Tangents AB and AC to circle are drawn, with B,C on the circumference. On the extension of AB, D is a point such that B is between A and D, and angle ADC=25∘. The circumcircle of ADC intersects circle again at E (different from point C ). F is the foot of the perpendicular from B to DC. What is the measure of angle DEF?
Raoul wants to create a weekly schedule for going to the gym. He wants to go to the gym the same three days each week, and he wants there to be at least one day in between each of his visits. How many different ways can Raoul schedule his weekly gym visits?
Details and assumptions
The 'start' date of the week doesn't matter, as this is a weekly event. For example, Raoul does not want to go to the gym on Sunday, Thursday, Saturday, since it means it would be in the gym on Saturday and Sunday of the following week.
6 points are on the plane such that any 2 points are at most distance 2 apart. What is the most number of pairs of points which are strictly greater than 2^(1/2) apart?
if a^2b^3 = 540 (35)^2, find the minimum value of 5a + 7b
a + b + c = 24, then the maximum value of a^2b^3c is
Do you think, pursuing an MBA from a Non- Blue Blooded Institution is not worth doing an MBA?
X is a circle with chord AB. P is a point outside of X such that PA is tangent to X and /_BPA=90∘. If AB=48 and PB=8, what is the radius of X ?
Pipe A & B running together can fill a cistern in 6 minutes. If B takes 5 minutes more than A to fill the cistern, then the time in which A and B will fill the cistern separately will be respectively???
Answer With Explanation
12 men complete a work in 18 days. 6 days after they had started working, 4 men join them. How many more days will all of them take to complete the remaining work???
Two cars A and B start simulataneously from two points P and Q with certain speeds towards each other.After reaching a point R,the speed of A decereases by one third.It then meets B at a point S,where SQ=2PR. If the speed of a had become one third less at the mid point of RS,the cars would have met at T where ST= PR/4 .Find RS:PR.
5:1
6:1
8:1
10:1
Approach Please !!
A video rental store offers 436 different movies for rent. The movies are categorized as Comedies, Action Movies, and Dramas. A movie may be in more than one of the categories. If 234 movies are categorized as Comedies, 97 as Action Movies, and 191 as Dramas, what's the most number of movies that could be categorized as all three?
@Ianian
A swimmer jumps from a bridge over a canal and swims 1 km upstream. After that first kilometer, he passes a floating cork. He continues swimming for another half an hour and then turns around and swims back to the bridge. The swimmer and the cork arrive at the bridge at the same time. The swimmer has been swimming with constant speed. How fast does the water in the canal flow?
a 0.5 km/hr
b 2 km/hr
c 3.5 km/hr
d 4 km/hr
e 1 km/hr
m sry ,i am moving out of track on this thread, but i request u ppl to plz suggest good book for quant, logical reasoning and verbal each for CAT for self study..
boxes numbered 1,2,3,4 and 5 are kept in a row, and they are to be filled with either a red or a blue ball, such that no two adjacent boxes can be filled with blue balls. How many different arrangements are possible given that all balls of a given colour are exactly identical in all respects.
solve this one
How many five digits number can be formed in which every digit except last is no less than the following digit?For example: 2210 is a valid such 4-digit number but 2012 is not.
ABC is an equilateral triangle with side length N. X is a point within ABC, such that the distance from X to the vertices A,B,C are 8, 13 and 15, respectively. What is the value of N^2 ?