Consider the equation x^2+ax+2001 both the roots of this equation are integers how many values can A take?
We list the natural numbers in order to form a string of digits as follows: 1234567891011121314 · · ·What is the 2012-th digit in this sequence?
0
6
7
8
In parallelogram ABCD, M is the midpoint of diagonal BD, and P is a point on AD such that AD = 4PD. If the area of the quadrilateral ABMP is 35, then the area of the triangle PMD (shaded) is
2
5
6
7
A cylindrical vessel is completely filled with milk. The contents of this vessel are poured into a conical container of the same height and base radius as that of the cylinder, until it is completely full. The cylinder is then filled with water until it is completely full. The contents of both the vessels are then emptied into a third vessel. When 42L of water is further added to this vessel, the ratio of milk and water becomes 2: 3. Find the volume of the conical vessel.
2
3
4
6
when is a-b a factor of a^n+b^n(n=even)?is it necessary for a-b to be a factor of 2*b^n?
The sum of string of N consecutive even integers is 10. WHat is the sum of all the possible values of N?
What is the largest 3 digit number which when divided by 9 leaves remainder of 6 and when divided by 7 leaves a remainder of 5 ??
My question -- IS ther any method which do not require hit and trial ?? OR any short method ?
OA - 978
India and Srilanka play one day international series until one team wins 4 matches. No match ends in a draw. The number of ways the series can be won is
35
45
90
70
A square tile is designed in a manner which is symmetric and half of it is painted. What is ratio of side length of the square to the uniform width of the design?
1)3root2
2)2root2+1
3)2root2+2
4)3root3+2
How many 3-digit numbers exist such that the sum of their digits is equal to 10?(a) 50(b) 52(c) 54(d) None of these
if a(1/b+1/c) +b(1/a+1/c) +c(1/a+1/b) are in A.P then a,b,c are in
1)A.P
2)G.P
3)H.P
4)A.G.P
The equation 4x - Ay = B has a number of integral solutions. If HCF(A,4) = 1 and the number of solutions (x,y) for 0a)3b)2c)1d)none of these(Please post approach as well)
Twenty taps, numbered from 1 to 20, are fitted to a tank. On the xth day, for all x, where 1x 20, the taps numbered from x to 20 are opened for x minutes. The tank is filled in 20 days. The capacity of the tank is C litres. Find C, if the xth tap (for all x), fills the tank at x litres/minute.
22385
22785
23285
23485
The average wickets per test match in a total of x matches of a bowler was 5. If a three match series in which he took no wickets is excluded and he takes 12 wickets per match in a subsequent five match series, his average increases to 6 wickets per match. Find x
48, 38, 42, 46
The sum of the even numbers between 1 and s is 79*80, where s is an odd number, then s=?
(a) 159 (b) 80 (c) 81 (d) None of these
The average of 18 numbers is 36. If 5 new numbers with the sum of deviations of 63 from the average are included and three numbers 37, 41 and 33 are excluded, what will be the new average?
40, 39, 37, 38
N is a set of all natural numbers less than 1000.
How many elements of N has odd number of factors?
- 32
- 30
- 8
- 31
0 voters
If the sum of first 17 terms of the sequence is equal to first 23 terms of the same sequence. Find the 44 term of this sequence?
- none of these
- 0
- 1
- -1
- 44
0 voters
x^2+2x-3
_________ 2x-1-x^2
how many integral values of x possible in the range of -10
The latest registration number issues by the delhi motor vehicle registeration authority is DL-5S 2234.If all the numbers and alphabets before this have been used up then find how many vehicles have a registration number starting with DL-5?
a)192234
b)192225
c)172227
d)182216
d)None of These
steps needed