Number of candidates appeared from SBI is,

= 51500 × 12/100 = 6180

Number of candidates appeared from BOM is,

= 51,500 × 14/100 = 7210

So, the candidates appeared from both = 6180 + 7210 = 13,390

Now,

The number of candidates who got selected from BOB, Union and UCO together is,

= 14,600 × (14 + 16 + 11)/100

= 14,600 × 41/100

= 5986

Thus, the required ratio is = 13,390 : 5986 = 6695 : 2993

Number of candidates selected after interview from Union bank is,

= 14,600 × 16/100 = 2336

Number of candidates selected after interview from BOI is,

= 14,600 × 32/100 = 4672

So, the total number of candidates from both = 2336 + 4672 = 7008

Now,

Number of candidates not selected after interview from BOM is,

= (51,500 × 14/100) – (14,600 × 7/100)

= 7210 – 1022 = 6188

Number of candidates not selected after interview from BOB is,

= (51,500 × 12/100) – (14,600 × 14/100)

= 6180 – 2044 = 4136

So, the total number of candidates from both = 6188 + 4136 = 10,324

Thus, the required percentage is = 7008/10,324 × 100 ≈ 68%

Average number of candidates selected after interview from BOB and SBI together is,

= [14,600 × (14 + 20)/100]/2

= (14,600 × 34/100)/2

= 4964/2 = 2482

Number of candidates who appeared in the interview from UCO and Union bank is,

= 51,500 × (16 + 18)/100

= 51,500 × 34/100

= 17,510

So, the required percent is = 2482/17,510 × 100 ≈ 14%

Candidates selected from BOI after the interview is = 14,600 × 32/100 = 4672

Candidates selected from BOM after the interview is = 14,600 × 7/100 = 1022

So, the total of both is = 4672 + 1022 = 5694

Candidates not selected from BOB after the interview is,

= (51,500 × 12/100) – (14,600 × 14/100)

= 6180 – 2044 = 4136

Candidates not selected from Union bank after the interview is,

= (51,500 × 18/100) – (14,600 × 16/100)

= 9270 – 2336 = 6934

So, the total of both is = 4136 + 6934 = 11070

Thus, the required percentage is = (5694 + 11070)/51,500 × 100 ≈ 33%

Number of candidates who got selected after interview from BOI, UCO bank SBI and BOM together is,

= 14,600 × (32 + 11 + 20 + 7)/100

= 14,600 × 70/100 = 10,220

Number of candidates who did not get selected after the interview from same bank is,

= 51,500 × (28 + 16 + 12 + 14)/100

= 51,500 × 70/100 = 36,050

So, the required difference is = 36,050 – 10,220 = 25,830

P's one day work = 1/16

Q's one day work = 1/10

R's one day work = 1/8

S's one day work = 1/20

T's one day work = 1/18

U's one day work = 1/12

So, (P + Q + R + S + T + U)'s one day work is,

= 1/16 + 1/10 + 1/8 + 1/20 + 1/18 + 1/12

= (45 + 72 + 90 + 36 + 40 + 60)/720

= 343/720

So, the time taken by all six together to complete the work is,

= 720/343 =   2  (34/343) days

P's one day work = 1/16

S's one day work = 1/20

So, (P + S)'s 1 day work = 1/16 + 1/20

= (5 + 4)/80 = 9/80

(P + Q)'s 2 day work = (9/80) × 2 = 9/40

So, the remaining work after 2 days = 1 – 9/40 = 31/40

Then, the time taken by U to complete the remaining work is,

= 12 × 31/40 = 93/10

= 9 (3/10)  days

P's one day work = 1/16

So, 4 days of work of P = 4/16 = 1/4

Q's one day work = 1/10

So, 2 days work of Q = 2/10 = 1/5

R's one day work = 1/8

So, 3 days work of R = 3/8

S's one day work = 1/20

So, 6 days work of S = 6/20 = 3/10

T's one day work = 1/18

So, 4 days work of T = 4/18 = 2/9

U's one day work = 1/12

So, 4 day work of U = 4/12 = 1/3

Thus, it is clear that Q completed less fraction of work.

T's one day work is = 1/18

U's one day work is = 1/12

So, (T + U)'s 1 day work is = 1/18 + 1/12

= (2 + 3)/36 = 5/36

Then, (T + U)'s 3 day work is = 3 × 5/36 = 5/12

Total work done in 4 days is = 5/12 + 1/8

= (10 + 3)/24 = 13/24

So, remaining portion of the work after 4 days = 1 – 13/24 = 11/24

Q's one day work = 1/10

S's one day work = 1/20

U's one day work = 1/12

Let X's one day work = 1/X

Then, according to the question,

(1/10 + 1/20 + 1/12) + 1/X = 4/15

(6 + 3 + 5)/60 + 1/X = 4/15

14/60 + 1/X = 4/15

7/30 + 1/X = 4/15

1/X = 4/15 – 7/30

1/X = (8 – 7)/30

1/X = 1/30

So, X will complete the work in = 30 days