Consider a line on XY plane that passes through the points (1, _/2) and (_/7 , 1 ) . Of all the points that lie on the line , how many will have both their x and y coordinates as rational numbers ?
infinite
zero
only one
less than 4
In how many ways can 7 identical balls be divided among 3 identical boxes
I how many ways can 30 rugby players form two 15-member teams to play each other?
Beth received 3/10 votes cast in a certain election. what fraction of other votes she have needed in order to have received 1/2 of the votes cast ?
In the x-yplane,the area of the region bounded by the graph |x+y|+|x-y|=4 is
- 20
- 16
- 12
- 8
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Two real non negative numbers satisfy ab=a^3+b^3, find the maximum value of a+b
a) 1/2 b) 1 c) 3/2 d) 2 e) none of these
What is the reminder when 128^500 is divided by 153...?
-@A
If y= -2 and (x^2 . y^2 - 3xy - y^2) / (3x^2 + y^4 . x + 5y) -@A
Three balls of equal radius are placed such that they are touching each other. A fourth smaller ball is kept such that it touches the other three.Find the ratio of the radii of smaller to larger ball.
Puys, dont post the ans but the approach
Applying for
how many times in a day , hour hand and a minute hand ll make 73 degree angle.
find the max and min value of m if (mx^2+3x-4)/(m+3x-4x^2) can attain all values for real
values of x
options:
a. -1/7, 0
b. 0, 2
c. 1, 7
d. 2, 3
[log(1)+log(1+3)+log(1+3+5)+...log(1+3+5+...+19)] - 2[log1+log2+...log7]=m+nx+ay
If log2 = x and log3 = y, then which of the following is the ordered triplet (m, n, a)?
[Note: Use Base 10 for all the logarithmic functions.]
(a) (2, 6, 4)
(b) (2, 7, 4)
(c) (2, 4, 7)
(d) (2, 4, 6)
There are 49 0's, 51 1's and 53 2's written on the board randomly.
Bikash is blindfolded and then asked by his teacher to touch any two numbers on the board arbitrarily. The teacher deleted those two numbers and replaced them by a single number in the following manner:
If the pair is Replaced by
(0, 0) → 0
(1, 1) → 0
(2, 2) → 2
(1, 2) → 1
(0, 1) → 1
(0, 2) → 0
If they continued this process what was the number left on the board in the end?
(a) 0 (b) 1 (c) 2 (d) Cannot be determined
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The number of solutions of the equation 2x + y = 40 where both x and y are positive integers and x ≤ y is:
(1) 7
(2) 13
(3) 14
(4) 18
(5) 20
Let f (x) = max (2x + 1, 3 − 4x), where x is any real number. Then the minimum possible value of f(x) is:
(1) 1/3
(2) 1/2
(3) 2/3
(4) 4/3
(5) 5/3
n! has x number of zeroes at the end and (n + 1)! has x + 3 zeros at the end. Find the number of possible values of n if n is a three digit number.
A quadratic function f(x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1. What is the value of f(x) at x = 10?
(1) –119
(2) –159
(3) –110
(4) -180
(5) -105