Hello sir , kindly share the solution to this problem -

An institute has 5 departments and each department has 50 students. If students are picked up randomly from all 5 departments to form a committee , what should be the minimum number of students in the committee so that at least one department should have representation of minimum 5 students? options -

A. 11

B. 15

C. 21

D. 41

E. None of the above

The maximum number of students can be picked from each department such that 5 students are not selected from the same department is 4.

Therefore, after 4 students from each department are selected i.e 4 x 5 = 20 , the 21st student selected will be the fifth student to be selected from one of the 5 departments.

Hence, , 20+1 = 21 students should be selected in total to ensure that at least five students from one of the departments is selected.

2*4*6*8+4*6*8*10 = 4*6*8*12

+6*8*10*12 = 6*8*12*14

+8*10*12*14 = 8*12*14*16

8*12*14*16+10*12*14*16 = 12*14*16*18

+12*14*16*18 = 14*16*18*24

+14*16*18*20 = 14*16*18*44

Find x such that |x + a| - |x - b| > 0 where a < b.

x > b

x < (b - a)/2

x > (b - a)/2

None of these

i m getting option 3rd

if you will open it with positive sign

x+a> x-b

a>-b this is not in options

opening with negative signs

x+a> -x+b

2x>b-a

x>(b-a)/2

which is in the option

none of these given hai

ha par 3rd vala kyu nhi hoga ye nhi samajh aa rha