As I want to take part in Rajasthan Pre-Entrance Test (RPET) here looking for its exam question paper so will you plz let me know from where I can do download it free of cost ??

Rajasthan Pre-Entrance Test (RPET) is conducted by Rajasthan Technical University for admission into various courses such as engineering, pharmacy and architecture.

Rajasthan Pre-Entrance Test (RPET) question paper

1. The value of k for which the points (0,0), (2,0), (0,1) and (0,k) lies on a circle
is :
(1) 1,2 (2) -1,2 (3) 0,2 (4) 0, 1

2. The area of the triangle formed by the tangent and normal at (1, √√2) to the
circle x2
+y2
= y and positive x-axis will be :
(1) 1 √3 (2) 4√3 (3) √3 (4) 2√3
3. A straight line makes a triangle of area 5 units with the axis of coordinates
and is perpendicular to the line 5x – y = 1, the equation of the line is :
(1) x + 5y ± 5 = 0 (2) x – 5y ± 5 √2 = 0
(3) x + 5y ± 5 √2 (4) 5 x + y ± √2 = 0
4. If the points (λλ - 2, λλ-4), (λλ, λλ + 1 ) and (λλ, λλ + 1) and (λλ + 4, 16) are collinear
then the value of λλ will be :
(1) – 4 (2) – 5 (3) 4 (4) 5
5. The imaginary part of tan-1 (5i/3) is :
(1) log 4 (2) log 2 (3) ∞ (4) 0
6. If x = a + ιι, y = ay = bββ and z = ααββ + br (where ββ and γγ are the imaginary
cube roots of unity) then the value of xyz is :
(1) 3 ab (2) a3
+ b3
(3) a3
+b3
+3ab (4) a3
– b3
6 6
7. √√3 + i + i - √√3 is equal to :
2 2

(1) -1 (2) 2 (3) -1 (4) 1
8. If A is a square matrix their A + AT
will be :
(1) unit matrix
(2) symmetric matrix
(3) spew symmetric matrix
(4) envertible matrix
9. y+z x x
y z +x y is equal to :
z z x+y
(1) 4x2
y
2
z
2
(2) 4xyz (3) x2
y
2
z
2
(4) xyz
10. The value of(√√2 + 1)6
+ (√√2 – 1)6 is :
(1) – 99 (2) 99 (3) – 198 (4) 198
11. If ( 1 + x )n
= C0 + C1 + C2x
2
+ …+ Cnxn
, then the value of C1 + 2C2 + 3C3 + …+
nCn :
(1) 2n-1 (2) n.2n-1 (3)2n
(4) 0
12. The number of way in which 5 boys and 5 girl can be arranged in line such that
not two girls come together will be :
(1) 6x5! (2) 5 ! x 4! (3) 5! x 6! (6) (5!)
2
13. If n
Cr-1 = 36, n
Cr = 84 and n
Cr+1 = 216 then n is equal to :
(1) 5 (2) 10 (3) 9 (4) 8
14. If the roots of the equation a (b-c)x2
+ b(c-a) x + c (c-b) are equal then a, b, c will
be :
(1) in H.P. (2) in G.P. (3) in A.P. (4) none of these
15. If the 5th and 11th term of H.P. are 1 and 1 respectively then its 16th terms
is: 45 69
(1) 1 (2) 1 (3) 1 __ (4) 1__
77 81 85 89
16. The sum of the numbers which are divisible by 3 and lies behveen 250 to 1000 is
equal to :
(1) 156375 (2) 161575 (3) 136577 (4) 135657
17. If the equations x2
+9x+q = 0 and x2
+p′x + q′ = 0 (p ≠≠ p′, q ≠≠ q′) have one
common root then the value of the root will be :
(1) q - q′ or pq - p′ q′
p - p′ q - q′
(2) q - q′ or pq′ - p′q
p′ p q - q′
(3) pq′ - p′q
q - q′
(4) q - q′
p - p′
18. If x = a (cos t + tan t/2), y = a sin t, then the value of dy at t = ππ is :
dx 4
(1) a (2) 0 (3) – 1 (4) 1

RPET Syllabus
Physics

Measurement and Units
Radiation
Dynamics of a Particle
Nature of Light
Dynamics of a System of Particles
Electrostatics
Simple Harmonic Motion
Electric Circuits
Intermolecular Forces
Magnetic Field
Kinetic Theory of Gases
Alternating Current Circuits
First Law of Thermodynamics
Electronics

Chemistry

Development of Classical Model of an Atom
Acids and Bases
The Periodic Law
Metals
The Theory of Chemical Bonding
s-Block Elements
Chemical Equilibrium and Ionic Equillibria
d-Block Elements
Chemical Kinetics
Alkynes

Mathematics

Algebra
Matrices
Trigonometry
Co-ordinate Geometry
Calculus
Vectors
Probability

Attached Files

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