Highest power of 7 that could divide 5000!? Explain also
Let n=1*1!+2*2!+.......+2000*2000!. What is the remainder when n is divided by 4004?
The value of p for which the equation
(p+5)x^2 - (2p+1)x + (p-1) = 0 have equal roots in magnitude but opposite in sign is
A and B started a venture with different investments.It was decided that A would get 20% of the profit as salary and remaining profitwould then be equally divided between the two of them.Had the entire profit been divided in the ratio of their investments , B would have received 5200 more as his share of profit.The respective earnings of A and B are Rs 16800 and Rs 11200.Find the investment of A if B invested Rs 82000.
- Rs58000
- Rs44000
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If m^3 - n^3 = 9^k + 123. Find the number of non negative integral triplet(s) (m,n,k) satisfying the given equation
find remainder when 19! is divided by number of digits in 25! ..
A positive whole number M less than 100 is represented in base 2 notation, base 3 notation, and base 5 notation. It is found that in all three cases the last digit is 1, while in exactly 2 out of 3 cases the leading digit is 1. Then M equals -------- ?
A/3 is an integer but A/6 is not. B/5 is an integer but B/10 is not. Which of the following may not be an integer?
a) (5A-3B)/15
b) (5A-3B)/30
c) (5A-B)/10
d) (5A-B)/20
There were N houses in a colony, numbered 1 to N. All but 5 of the houses were destroyed in an earthquake. The numbers on the houses which were not destroyed are consecutive. If the sum of the numbers on the destroyed houses is 1085, then the least of the numbers on the houses which were not destroyed can be:
a) 36
b) 26
c) 25
d) Either a) or b)
a^2xb^3xc=256/27..find Min value of a+b+c given a,b,c are +ve real no's??
1)2
2)3
3)4
4)5
5)nota
In a room there are 7 persons. The chance that two of them were born on the same day of week is
a)1080/7^5
b)2160/7^5
c)540/7^4
d)Nota
In a series , the nth term tn=t(n+1)*n^2/(n^2-1) , for all n>=2.If t5=6,find t25.
What will be the digital sum of last three digits of (5^400-1)/4?
a.1
b.3
c.9
d.nota
A graph has 1982 points. Given any four points, there is at least one joined to the other three. What is the smallest number of points which are joined to 1981 points?
In a party with 1982 persons, amongst any group of four there is at least one person who knows each of the other three. What is the minimum number of people in the party who know everyone else?
Using digits 0,1,2,3,4,5 how many 4 digit numbers can be formed which are divisible by 3 and when repetition is not allowed?
(Don't have options/OA)
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the roots of x^2+px+q=0 and x^2+qx+p=0 are real. which is the following is the condition or combination of conditions for two equations to have exactly one common root?
1)1+p+q=0
2)p=q
3)p not equal to 1/2
There are five subjects A B C D E. You've got 1st rank in A and 6th in all others. There are 50 students in the class. What is your best possible rank and worst possible rank
If it's zero degrees outside today and it's going to be twice as cold tomorrow, how cold is it going to be?