#Painted_Sides_of_Cubes
=>For a cube of side n x n x n
Cube For 0 sides painted, => (n-2)^3
Cube For 1 side painted => 6(n - 2)^2
For cube with 2 sides painted, => 12(n-2)For the cubes with 3 sides painted, it will always be 8. The eight painted cubes are the 8 corners of any and all cubes.
=>For cuboid of side a x b x c
0 side painted => (a-2)(b-2)(c-2)
1 side painted => 2[ (a-2)(b-2) + (b-2)(c-2) + (a-2)(c-2) ]
2 side painted => 4(a+b+c -6)
3 side painted => 8
Doomsday =Anchor+ Q (Y/12)+ Rem (Y/12) +Q( Rem /4)
Y= last 2 digit of a year
Doomsday = last day of feb= 4/4=6/6=8/8=12/12 of a year
Anchor for 1900-1999=wednesday 2000-2999=thursday
Q. what day is 17th Aug of 1984?
anchor = wed
Y=84 , Y/12=7
doomsday= wed+ 7=wed
so 8 th aug is wednesday
17-8=9 9/7 = 1 week 2 days
so 17 th aug 1984 is friday :)
Pyus please share good online material link for quants?
Fibonacci sequence: {tn} for (n ≥ 1) such that tn+2 = tn+1 + tn, where n ≥ 1 with t1 = t2 = 1 and tn represents the nth term of the sequence.
Consider first 11 terms of the above sequence.
1, 1, 2, ... , 55, 89
A set X of maximum cardinality is formed using above numbers.
Let N be the number of different non empty subsets of X such that the sum of all the elements in the subset is an even number.
What is the remainder when N is divided by 34?
which of the following represents the largest 4 digit number which can be added to 7249 in order to make the derived number divisible by each of 12, 14, 21,33, 54.. a) 9123 b) 9383 c) 8727 d) none of these
Find the greatest no. of 4 digits which when divided by 10, 11, 15, 22 leaves 3, 4, 8, and 15 as remainders respectively.
a) 9907
b) 9903
c)9893
d)none of these
3*7*11*15*......2003, find last 3 digits?
How many ordered pairs of integers p and q satisfy the condition |pq|=|p|+|q|+12?
A told B, I am twice as old as you were when I was as old as you are..
Please anyone help me to understand this statement..!
A sum of Rs.10000 is borrowed at 8% per annum compounded anually which is paid back in 3 equal installments.what is the amount of each equal installments??
A scooty is sold by an automobile agency for Rs. 19200 cash or for Rs.4800 cash downpayment together with five equal monthly installments.If the rate of interest charged by the company is 12% p.a find each installment??
The number of real roots of 3^x - x - 2 = 0 is a)0 b) 1c)2 d)3
How many 3-digit even numbers can you form such that if one of the digits is 5 then the following digit must be 7?
find the maximum value of (3/a+b)/(2a-3b) if -3≤a≤3 and -2≤b≤5?
In how many ways 8 balls of different colours can be placed in 3 identical boxes if each box contains atleast 1 ball
7^12 is an 11-digit number which contains one 0, three 1's, two 2's, one 3, one 4, one 7 and two more digits which are same. What are the missing same digits?
5
6
9
8
If A =997! and B = 1001 x 1002 x 1003 x 1004 x 1005 x 1006, then find the LCM of A and B.
d/dx e^(mod x)....how to do this?
there r 3 rooms in a motel 2- single(similar) ,2-triple rooms. how many ways r there to house 7 persons in the room .?
how many zeroes will be there at the end of expression 2! ^2! + 4! ^ 4! + 8! ^ 8! + 10! ^ 10! + 12! ^ 12!