It is correct answer.Solution:Maximum size of square tile = HCF of 15.35 and 18.42 = 3.07No. of tiles = (18.42 * 15.35)/(3.07 * 3.07) = 30

It is correct answer.Solution :Let the no. be x.

Then the correct answer is 4x.

The incorrect value obtained is x/4.

The required % = ((x/4)/4x) * 100 = 6.25%

It is correct answer.Sum of 15 results =(15*60) = 900Sum of First 8 results=(8*59) = 472Sum of Last 8 results= (8*63) = 504It is quite obvious that the 8th result is included twice.Therefore,value of the 8th result = Sum of 1^st eight results + Sum of last eight results - Sum of 15 results                                                            =  472 + 504 - 900 = 76

It is correct answer.

Let the sum be Rs x.

Therefore,  Simple Interest = x*6*2/100 = 0.12x           Compound Interest = x (1+6/100)^2 - x =0.1236x    

Difference in CI and SI =0.12x - 0.1236x = 0.0036x 

Difference which is given = 216 * 10000/36= 60,000

It is correct answer.

Solution :

Profit / loss percentage = - 5/20 * 100 = 25%

Loss as it is in negative.

It is correct answer. Solution : Vikram's one day work  = 1/3

Vivek's one day work =1/4 Vikrant's one day work =1/5 Vikram's share : Vivek's share : Vikrant's Share=   1/3 : 1/4 : 1/5 The ratio becomes 20 : 15 : 12 (By Finding L.C.M) Vikram's Share=20/47*4700=2000 Vivek's Share=15/47*4700=1500 Vikrant's Share=12/47*4700=1200

It is a correct answer. Solution : In a correct clock, the minute hand gains 55 min, over the hour hand in 60 min. To be together again,the minute hand must gain 60 minutes over the hour hand. 55min are gained in = 720/11 min But they are together after 63 min. Therefore, Gain in 63 min = (720/11)-63 = 27/11 min. Gain in 24 hours = (27/11) * 60 * 24/63 = 540/77 min.

It is correct answer. Solution :

Converting all the time into 24hr format we get 6 a.m=6:00 , 12 noon = 12:00, 10 a.m = 10:00 and 7 p.m = 19:00

Required Time = 600+((1200-600)*(1900-600)/((1200-600)+(1900-1000))) = 600 + 520 = 11:20  ...............i.e 11:20 a.m

It is the correct answer. Solution : Combined 1 hour work of the inlet and leak is 1/8 hour. 1 hour work of inlet = 1/x 1/6 - 1/x = 1/8 x = 24 hour Rate of inlet = 4 litre/minute = 240 litre/hr Capacity of the container = 24*240=5760 litre

It is a correct answer.

Solution  = (30*50 + 40*30 + 45*55) / (30+40+45)                  =(1500 + 1200 + 2475) / 115                  =5175/115                  =45

It is correct answer.

Let alone time of Suman be x .

Then alone time of Rahul = x/3 and that of Varun be x/4.

Suman's one day work + Rahul's one day work + Varun's one day work = Combined one day work                     

   (1/x) + (1/(x/3)) + (1/(x/4)) = 1                                                  x = 8

It is correct answer.Solution: Total Seats = cSeats in front section = a (i.e 1/5*c)a = c/5 Seats sold in front section = 5/6*a = (5/6*c/5) = c/6Seats unsold in front section = c/5 - c/6 = c/30Total seats sold = 3/4*cTotal seats unsold = c/4Fraction of seats unsold in front section = 2c/15

It is the correct answer.

Solution : 21 people can sit around a conference table in 20! ways (Fixing the position of 1 person in each case)

But in the above we have included both clockwise and anticlockwise orders that will have the same neighbours.

Hence,the required no. of arrangements are 1/2 * 20!.

It is a correct answer.

It is a correct answer .Solution-Let Vivek's present age = x Similarly,Let Tarun's present age = y and Sourabh's present age = z
We know, x = 3*y z-4 = 2*(x-4) and (x+4) = 31 (Given In statement) x=27 Therefore, y = 9 z = 50 The age of tarun is 9 years and of sourabh is 50 years.

It is the correct answer. Solution- Total no of balls = 15No of ways of drawing 6 balls from 15 balls randomly=¹⁵C_⁶ No of ways of drawing 3 white balls from 6 white balls = ⁶C₃ No of ways of drawing other 3 balls from remaining 9 balls = ⁹C₃ Required probability=(⁶C₃ * ⁹C₃) / ¹⁵C₆ = 48/143