~~all 4 quAnts:aSSemble here~~

priyad

In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?

(1) 6!/2!
(2) 3!*3!
(3) 4!/2!
(4) 4!*3!/2!
(5) 72

priyad

There are 6 boxes numbered 1, 2,...6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is ____

(1) 5
(2) 21
(3) 33
(4) 60
(5) 27

priyad

The equation 2x2 + 2(p + 1)x + p = 0, where p is real, always has roots that are

(1) Equal
(2) Equal in magnitude but opposite in sign
(3) Irrational
(4) Real
(5) Complex Conjugates

rax.india

its answer 59

rax.india

its answer 59

rax.india

equal in magnitude but oppo in sign

rax.india

its answer 4!*3!/2!

rax.india

answer 192