CRACKER:
😠😠😠😠a square tin sheet of side 12 inches is converted into a box with open top in the following steps: the sheet is placed horizontally. then equal sized squares, each of side x inches, are cut from the four corners of the sheet. finally, the four resulting sides are bent vertically upwards in the shape of a box. if x is an integer, then what value of x maximizes the volume of the box???
answer is x=2... plz share ur approach.
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CRACKER:a square tin sheet of side 12 inches is converted into a box with open top in the following steps: the sheet is placed horizontally. then equal sized squares, each of side x inches, are cut from the four corners of the sheet. finally, the four resulting sides are bent vertically upwards in the shape of a box. if x is an integer, then what value of x maximizes the volume of the box???answer is x=2... plz share ur approach.
Volume=Base area * height
V= [(12-2x)*(12-2x)]*[x]
=> V=4x^3-48x^2+144x
To maximize V, dV/dx=0
12x^2-96x+144=0
=> x=2 or 6
Since x=6 => V=0
Hence x=2 😃
method and answer for the q attached
a^2 - b^2 = 1634 where x,y are integers less than 500. How many integral solutions are possible for a and b?
method and answer for the q attached 😠
method and answer for the q attached 😠
Birbal says to Akbar I am thrise as old as you were when I was as old as you are.If sum of their present ages is 80 years,then how many years ago was birbal twice as old as Akbar ?? a.12 b.16 c.20 d.24
What is the largest sum of rupees which can never be paid using infinite number of coins of denominations Rs. 5, Rs. 7 and Rs. 11?
(1) 13
(2) 28
(3) 48
(4) 8
(5) More than 48
Q30
Find the remainder when 987987987..upto 123 digits is divided by 1001
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a number has 840 factors find the max number of prime factrs iit can have??
OA-6
sum1 pl xplain nd copy me... thnks
Number of integer solutions for x
|x-1|+|x-2|+|x-3|
There are 6 straight lines in a plane, no 2 of which are parallel and no 3 of which pass through the same point. If their points of intersection are joined, then the number of additional lines thus introduced is
(a) 45 (b) 78 (c) 105 (d) none of the these
What is the remainder when 123456, 123456, . . . . . (up to 600 digits) is divided by 91
what is the remainder when 1234123412341234.... upto 400 digits is divided by 909?
@chillfactor @amresh_maverick @Dazed-Confused
- y
- x
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If a fair coin is tossed 10 times, what is the probability of obtaining 2 heads and 8 tails.?
Amit is standing at Point A and needs to reach Point B. The path exists as a 5*5 Grid and he can take only 1 step to the right, or 1 step front up. Amit's 1 step equals length/width of each grid cell. In how many ways can he reach Point B.
(File attached)
Good Concept builders for Remainders.
1.Find the remainder when 13571357...upto 1000 digits is divided by 101
a)1 b)9 c)14 d)92
2.Find the remainder when 987987987..upto 123 digits is divided by 1001
a)1 b)14 c)427 d)987
3.Find remainder when 123456123456...upto 600 digits is divided by 999
a)41 b)579 c)957 d)997