• Placement Questions
• /
• KVPY

KVPY Exam Pattern, KVPY Questions with Answers Page 31

(#M40027020) KVPY QUESTION Mental Ability Keep an EYE

All the points (x, y) in the plane satisfying the equation x^2 + 2x sin (xy) + 1 = 0 lie on -
(A) a pair of straight lines (B) a family of hyperbolas
(C) a parabola (D) an ellipse

Asked In KVPY MAN (11 years ago)

Unsolved

Is this Puzzle helpful?   (2)   (0) Submit Your Solution

(#M40027019) KVPY QUESTION Mental Ability Keep an EYE

Consider the cubic equation x^3 + ax^2 + bx + c = 0, where a, b, c are real numbers. Which of the following
statements is correct ?
(A) If a^2 – 2b < 0, then the equation has one real and two imaginary roots
(B) If a^2 – 2b ≥ 0, then the equation has all real roots
(C) If a^2 – 2b > 0, then the equation has all real and distinct roots
(D) If 4a^3 – 27b^2 > 0, then the equation has real and distinct roots

Asked In KVPY MAN (11 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (1) Submit Your Solution

(#M40027018) KVPY QUESTION Mental Ability Keep an EYE

Let P be an m × m matrix such that P2 = P. Then (1 + P^)n equals

Asked In KVPY MAN (11 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (0) Submit Your Solution

(#M40027017) KVPY QUESTION Mental Ability Keep an EYE

Suppose n is a natural number such that| i + 2i2 + 3i3 + ... + nin |=18 2 , where i is the square root of – 1.
Then n is

Asked In KVPY MAN (11 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (1) Submit Your Solution

(#M40027016) KVPY QUESTION General Ability Test Keep an EYE

Suppose logab + logba = c. The smallest possible integer value of c for all a, b > 1 is

Asked In KVPY MAN (11 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (0) Submit Your Solution

(#M40027015) KVPY QUESTION General Ability Test Keep an EYE

A standing wave in a pipe with a length L = 1.2 m is described by
y (x,t)= y0 sin [(2π/L)x] sin [(2π/L)x + π/4]
Based on above information, which one of the following statements is incorrect.
(Speed of sound in air is 300 m s–1)–
(A) The pipe is closed at both ends
(B) The wavelength of the wave could be 1.2 m
(C) There could be a node at x = 0 and antinode at x = L/2
(D) The frequency of the fundamental mode of vibrations is 137.5 Hz

Asked In KVPY MAN (11 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (0) Submit Your Solution

(#M40027014) KVPY QUESTION General Ability Test Keep an EYE

On a bright sunny day a diver of height h stands at the bottom of a lake of depth H. Looking upward, he can see
objects outside the lake in a circular region of radius R. Beyond this circle he sees the image of objects lying on
the floor of the lake. If refractive index of water is 4/3, then the value of R is

Asked In KVPY MAN (11 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (0) Submit Your Solution

(#M40027013) KVPY QUESTION General Ability Test Keep an EYE

Consider three concentric metallic spheres A, B and C of radii a, b, c respectively where a < b < c, A and B are
connected whereas C is grounded. The potential of the middle sphere B is raised to V then the charge on the sphere
C is–

Asked In KVPY MAN (11 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (1) Submit Your Solution

(#M40027012) KVPY QUESTION General Ability Test Keep an EYE

A stream of photons having energy 3 eV each impinges on a potassium surface. The work function of potassium is
2.3 eV. The emerging photo-electrons are slowed down by a copper plate placed 5 mm away. If the potential
difference between the two metal plates is 1 V, the maximum distance the electrons can move away from the
potassium surface before being turned back is

Asked In KVPY MAN (11 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (0) Submit Your Solution

(#M40027011) KVPY QUESTION General Ability Test Keep an EYE

A radioactive nucleus A has a single decay mode with half life τA. Another radioactive nucleus B has two decay
modes 1 and 2. If decay mode 2 were absent, the half life of B would have been τA/2. If decay mode 1 were absent,
the half life of B would have been 3τA, then the ratio τB/τA is

Asked In KVPY MAN (11 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (0) Submit Your Solution