If two students are chosen at random with replacement from a certain class, what is the probability that two male students or two female students are selected? 1. There are 50 male students in the class. 2. The probability of selecting one male and one female student is 21/50. Let's assume we have x...

8*10^k + j when divided by 9 will always give a remainder of 8(provided k & j are both positive integers) Thus this question can be answered by any of the options given in the question I think you're reading the expression as 8 * 10^(k+j) in which case you're right; the remainder will always be...

For the expression (n^2)-1/8 If n is odd, remainder will always be 0 for e.g. 3^2 -1=9-1=8/8. Rem =0 5^2-1=24/8=3. Rem =0 13^2=169-1=168/8/. Rem=0 Thus option 1 is sufficient to answer the question. Coming to Option 2, 2. n is not divisible by 8 This is not sufficient as n can be any number. for e.g...

Purple marbles can have a value in the range 5<x<11 {6,7,8,9,10} Now to get a multiplication factor of 88000, the most likely value for purple marble is 8(as 8*11 gives 88) Thus, number of purple marbles selected are 88000=8*11*1000 =8*11*(8*125) =(8*8)*(5*5*5)*11 Thus there are 2 purple marbles sel...

Let's call our triangle as ABC. Now if we want to select A & B co-ordinates from same line(i.e. x co-ordinate will remain same), we can do it in 3C2 ways. We can select the 3rd co-ordinate (point C) from second or third line 2 * 3C1 This logic will give us 54 triangles => 2(3C2 * 3C1) + 2(C2 * 3...

The answer will be B. This can be solved by basic division rule. 8*10^k , if we add the digits of the number formed by this than we will get 8(because the number will be in the form of 8 for k=0 80 for k=1 800 for k=2 8000 for k=3 Now if we add 1 to this we will get the sum of digits of that number ...

The choice will surely between D & E. Others are ruled out because of incorrect usage of "they" or "makes". D looks grammatically correct but it adds more description to the original sentence(tongue). E keeps the original sentence intact but the use of The reason ..... becaus...