In the real number system, the equation sqrt(x + 3− 4 x −1) + sqrt(x + 8 − 6 x −1) = 1 has
option
(A) No solution
(B) Exactly two distinct solutions
(C) Exactly four distinct solutions
(D) Infinitely may solutions
A juggler tosses a ball up in the air with initial speed u. At the instant it reaches its maximum height H, he tosses up a second ball with the same initial speed. The two balls will collide at a height
Let I, ω and ω2 be the cube roots of unity. The least possible degree of a polynomial, with real coefficients,
having 2ω^2, 3 + 4ω, 3 + 4ω^2 and 5 – ω – ω^2 as roots is-
Two students are given two different double stranded DNA molecules of equal length. They are asked to
denature the DNA molecules by heating. The DNA given to student A has the following composition of
bases (A:G:T:C:35:15:35:15) while that given to student B is (A:G:T:C::12:38:12:38). Which of the
following statements is true ?
(A) Both the DNA molecules would denature at the same rate
(B) The information given is insufficient to draw any conclusion
(C) DNA molecule given to student B would denature faster than that of student A
(D) DNA molecule given to student A would denature faster than that given to student B
In a diploid organism, there are three different alleles for a particular gene. Of these three alleles one is
recessive and the other two alleles exhibit co-dominance. How many phenotypes are possible with this set of
alleles ?
(A) 3 (B) 6 (C) 4 (D) 2
At time t = 0, a container has N0 radioactive atoms with a decay constant λ. In addition, c numbers of atoms
of the same type are being added to the container per unit time. How many atoms of this type are there at
t = T
The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?