The number of moles of Br2 produced when two moles of potassium permanganate are treated with excess potassium bromide in aqueous acid medium is
option
(A) 1
(B) 3
(C) 2
(D) 4
Upon mixing equal volumes of aqueous solutions of 0.1 M HCl and 0.2 M H2SO4, the concentration of H+ in the resulting solution is
option
(A) 0.30 mol/L
(B) 0.25 mol/L
(C) 0.15 mol/L
(D) 0.10 mol/L
150 g of ice is mixed with 100 g of water at temperature 80 oC. The latent heat of ice is 80 cal/g and the specific heat of water is 1 cal/gC. Assuming no heat loss to the environment, the amount of ice which does not melt is
option
(A) 100 g
(B) 0 g
(C) 150 g
(D) 50 g
A firecracker is thrown with velocity of 30 ms1 in a direction which makes an angle of 75 degree with the vertical axis. At some point on its trajectory, the firecracker splits into two identical pieces in such a way that one piece fall 27 m far from the shooting point. Assuming that all trajectories are contained in the same plane, how far will the other
piece fall from the shooting point ? (Take g = 10 ms2 and neglect air resistance)
option
(A) 63 m or 144 m
(B) 72 m or 9 m
(C) 28 m or 72 m
(D) 63 m or 117 m
A train leaves Pune at 7 : 30 am and reaches Mumbai at 11 : 30 am. Another train leaves Mumbai at 9 : 30 am and reaches Pune at 1 :00 pm. Assuming that the two trains travels at constant speeds, at what time do the two trains cross each other
option
(A) 10: 20 am
(B) 11 : 30 am
(C) 10 : 26 am
(D) Data not sufficient
In a triangle ABC, it is known that AB = AC. Suppose D is the mid- point of AC and BD = BC = 2. Then the area of the triangle ABC is
option
(A) 2
(B) 2 2
(C) 7
(D) 2 7
The number of solutions (x, y, z) to the system of equations
x + 2y + 4z = 9, 4yz + 2xz + xy = 13, xyz = 3 Such that at least two of x, y, z are integers is
option
(A) 3
(B) 5
(C) 6
(D) 4
A girl brings a positively charged rod near a thin neutral stream of water from a tap. She observes that the water stream bends towards her. Instead, if she were to bring a negatively charged rod near to the steam, it will
option
(A) Bend in the same direction
(B) Bend in the opposite direction
(C) Not bend at all
(D) Bend in the opposite direction above and below and rod
Which statements about the Rutherford model of the atom is NOT true ?
(A) There is a positively charged center in an atom called the nucleus
(B) Nearly all the mass of an atom resides in the nucleus
(C) Size of the nucleus is completely to the atom
(D) Electrons occupy the space surrounding the nucleus