Tech GPT

In a world cup cricket tournament two group are present ,in each group seven teams are present each team play match against all the other team in the group only once.First four teams in each group are qualified for next stage.The Second stage is a knockout stage.winners of the knockout stage will participate in semifinal,and the winners will participate in the final.Total how many matches are present in the tournament? Ans: In first stage there are   7C2   matches are present in each group. Total matches in first stage=2* 7C2 =2*21=42.  4 matches present in the second stage,2 in semi and one in final Total matches=42+4+2+1=49

A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 1 face of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted? a) 900   b) 488    c) 563   d) 800 Ans: Total cubes to form hollow cube ? If it is cube it contains how many cubes =5^3=125 How many number of  small cubes  required to form a hollow cube= 125-3^3=98 Total number of faces in small cubes=98*6=588 number of painted faces=5*5=25 Number of unpainted faces=588-25=563

From a group of 6 men & 5 women, 4 persons are to be selected to form a committee such that at least 2 men are in committee. In how many ways it can be done?   (A) 150        (B) 250    (C) 265    (D) 115 Ans:C)265 To find the number of ways to select 4 persons from a group of 6 men and 5 women to form a committee such that at least 2 men are in the committee, we can use combinations. We need to consider the following cases: Selecting 2 men and 2 women Selecting 3 men and 1 woman Selecting 4 men Case 1: Selecting 2 men and 2 women Number of ways to select 2 men from 6 men = 6C2 Number of ways to select 2 women from 5 women = 5C2 Total ways for this case = 6C2 * 5C2 Case 2: Selecting 3 men and 1 woman Number of ways to select 3 men from 6 men = 6C3 Number of ways to select 1 woman from 5 women = 5C1 Total ways for this case = 6C3 * 5C1 Case 3: Selecting 4 men Number of ways to select 4 men from 6 men = 6C4 Total number of ways to form...

4 men or 8 women can do a piece of work in 24 days. In how many days, will 12 men and 8 women do the same work? A)6      B)8  C)5      D)None of these Answer:6 The efficiency of men is twice that of women 8 women are equal to 4 men So 12 men and 8 women = 16 men 4 men can do the work in 24 days 16 men need 24/4 =6 days