Daschat 12. In the DI+LR section, Q47-50, in the solution, everywhere it is mentioned, according to the table, but the table is not provided in the solution. Please explain this solution

Daschat 12. In the DI+LR section, Q47-50, in the solution, everywhere it is mentioned, according to the table, but the table is not provided in the solution. Please explain this solution

Find the number of zeros at the end of the product of the factorials of the first 25 natural numbers

ABCD is a rectangle, in which AC=20 cm. A perpendicular AE is drawn to BD, such that BE+16cm.Find the area of ABCD. Ans : 120.

Vikas Bansal

3 years, 8 months ago

Hi Rupanshi,

Let's say breadth is b and length is l. Consider angle made by diagonals AC and BD with base as AB (=breadth (b)) is theta. so bcos($$\theta$$) = 16 and 20cos($$\theta$$) = b now solve both equation find the values of sin($$\theta$$) and cos($$\theta$$) then find l and b. Answer will be 160. Hope it helps. If you need further explanation please do let us know :)

Rupanshi Bajaj

3 years, 8 months ago

Thanks Vikas Bansal. It seems i was committing a silly mistake. And yes the ans is 160 :)

Vishal and Anirudh decide to meet at a cafe between 5 pm and 6 pm. They agree that the person who arrives first at the cafe would wait for exactly 15 minutes for the other. If each of them arrives at a random time between 5 pm and 6 pm , what is the probability that the meeting takes place? (A) 9/16 (B) 1/2 (C) 7/16 (D) 5/8

Pv Aaditya

3 years, 8 months ago

Let Vishal's time be considered on the X-axis and Anirudh's time be considered on the Y-axis. The total time of consideration is a square of side 60.

If Vishal arrives at 0 minutes, Anirudh can arrive at any time before 15 min. If Vishal arrives at 1 min, Anirudh can arrive at any time before 16 min. If Vishal arrives at 15 min, then Anirudh can arrive at any time between 0 and 30 minutes. Similarly, if Vishal arrives at 16 min, Anirudh can arrive at any time between 1 and 31 min. If we draw the area of intersection carefully, we see that the required area is a hexagon with two adjacent sides of lengths 15 on X and Y axes respectively; 2 adjacent sides of 15 on the other two sides of the square and two sides of $$45\sqrt2$$ parallel to each other.

The required probability is the area of this hexagon divided by the area of the square = 1575/3600 = 63/144 = 7/16

in his daily routine Mr.Jha comes in his car to pick up his wife after her office gets over. They reach home exactly at 6pm every day. One day Mrs jha`so office gets over one hour earlier than the scheduled time and hence she starts waking at the rate of 3km per hour towards home.mr jha meets his wife on the way to her office and they reach home at 5:45pm what is the speed of Mr jha`s car and how long did Mrs jha walk

Shivam chugh

3 years, 8 months ago

I ma not sure .. pls have a look at it .. they reached 15 min early means car was driven for 7.5 min less den what it is driven daily. It shows lady travelled for 52.5 min and distacnce covered by her in 52.5 min = distance by car in 7.5 min so ratio of speed is 1:7 hence speed of car is 21kmph. and lady traveled for 52.5 km.

gautam bhutani

8 months, 2 weeks ago

Question implies that Mrs Jha got picked up 7.5 mint. Early than any other day, means if on any other day she use to get car at 5 o'clock, on that she got the car at 4:52.5 and as she started walking earlier by one hour There fore she walked for 52.5 mint.

The probability that the birth day of 6 persons fall in exactly two different months.

Karan Bajpai

3 years, 8 months ago

@srikanth thanks for correcting brother...bt shudnt it be 12c2(2^6-2)/12^6

Two curves y=x^2-6x+8 and y=-x^2+bx+c are in x-y plane.If maxima of one curve is minima of other curves, then what is the value of b?

Ankit Rana

3 years, 8 months ago

Differentiate both equations and equate them to zero.

Curve one: 2x-6=0 i.e. x=6

Curve two: -2x+b=0. For x=6 obtained from above equation, we get b=6

Srikanth Lingamneni

3 years, 8 months ago

Hi Sujoy, as the coefficient of $$x^2$$ in both the equations is positive, both equations will have only minima. Hence for no value of b, the maxima of one curve can be equal to the minima of the other curve.

Please go through our CC50 concept on Maxima and Minima of Quadratic equations.

https://cracku.in/cat/cc50/maxima-minima-quad-equations

x2-12x+k=0 has real roots. if|k|<15 how many integer values can k take

Srikanth Lingamneni

3 years, 8 months ago

Given that $$x^2 - 12x + k = 0$$ has real roots. Hence $$ 144 - 4k \geq 0$$ => $$k \leq 36 $$ . Also |k| < 15. Hence the integral values for k are from -14 to 14 ie 29 in number

In how many ways can 4 married couples seat themselves around a circular table, if atleast one husband sits beside his wife.

I am purchased cat self study programme it it will come to my home or not

Praneeth Madhunanthu

3 years, 8 months ago

Hi Priyanka,

The CAT Study Room is an online test platform with over 5000 questions. Please use the link https://cracku.in/cat/study-room to access the material available in the package. For example, if you wish to practice Geometry questions, you can go to the Quant and DI section (https://cracku.in/cat/quant-and-di) and then on to Geometry topic page (https://cracku.in/cat/quant-and-di/geometry). Here if you click the Take Test button, you will be presented with an adaptive test made up of 5 questions that you have to solve in 15 minutes. As you solve these questions and improve your skills in the subject, you will be given tougher questions in subsequent tests.

You can also see the number of questions you have attempted from the total available. On each topic page you can see the number of questions you have solved out of the total number available. Please let us know if you face any difficulties in accessing and using the content and we would be happy to help you with it.

Regards,

Team Cracku