Hello Guys ,

I am facing problem to solve Q 9,10. Please if any one could help me understand these problems and confirm my answer of Q 8 or correct me if I am wrong. I will be thankful

8. A and B each throw a set of three dice. If A throws to get a total of 16, B’s chance of getting a higher total is

(A) 1/54

(B) 1/36

(C) 5/108

(D) 53/54

Answer:

since ,we have 3 dices for B and we need to get sum >16

so the options are 6*6*6, 6*6*5,

and all possibilities of an o/p of 3 dices is 3*(6+6+6) =54

then All Possibilities of A+ B= 108

B chance of getting higher total is =2/108=1/54

the answer is choice A

9. If all the letters of the word ‘TRIANGLE’ are taken and permuted in all possible ways, then the number of arrangements in which the relative positions of vowels and consonants remain unaltered is

(A) 180

(B) 720

(C) 360

(D) 540

10. The cities A, B, C, D of a state are located in such a way that they form the vertices of a regular polygon. Each city is connected to every other city by means of the shortest possible highway. The total number of highways connecting the cities is 28. What is the total number of ways in which a person can travel from the city A to city C, provided that during his travel he visits no city more than once.

(A) 1,296

(B) 127

(C) 1,957

(D) 762