KVPY
Government Jobs Exams
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
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KVPY Other Question
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 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