apdhte.nic.in Joint Entrance Examination Mathematics & Science Model Question Paper : Directorate of Higher & Technical Education

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apdhte.nic.in Joint Entrance Examination Mathematics & Science Model Question Paper : Directorate of Higher & Technical Education

Organisation : Directorate of Higher & Technical Education Arunachal Pradesh
Exam : Joint Entrance Examination
Document Type : Model Question Paper
Category or Subject : Mathematics & Science
Year : 2016

Contents : hide

1 APDHTE JEE Mathematics & Science Question Paper

2 Instruction to Candidates

3 Model Question

APDHTE JEE Mathematics & Science Question Paper

Download Question Paper of Joint Entrance Examination Mathematics & Science Sample Question Paper is now available in the official website of Directorate of Higher & Technical Education Arunachal Pradesh.

Related : Directorate of Higher & Technical Education JEE Physics & Chemistry Model Question Paper : www.pdfquestion.in/9655.html

Instruction to Candidates

Read the following instructions carefully before you answer the questions given in this Test Booklet :
1. Answers to questions in this Test Booklet are to be given on an IBM“. Answer
2. Sheet provided to the candidate separately.
3. Candidate must fill up Name. Category. Test Booklet Number. Subject Code and Roll number in the Answer Sheet

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4. This Test Booklet consists of TS questions. All questions are compulsory and carry equal marks.

5. Each question in this “test Booklet has four possible alternative answers namely.
6. Candidate should not attempt more than one answer in each question.
7. More than one attempt in any form against a question shall he treated as incorrect.

8. Rough work trust not he done on the Answer Sheet.
9. Use the blank space given in the Test Booklet for rough work.
10. Candidate is to hand over the Answer Sheet to the invigilator before leaving the Examination Hall.

Model Question

1. If a/b is a rational number such that a<b then 2
{A} is always less Than 1
{B} is always greater than 1
{C} is always equal tn I
[D] may be less or greater than 1

2. The lengths of diagonals of a rhombus are 24cm and 18cm. The length at the side of rhombus is
{A} 6cm
{B} 9cm
{C} 8cm
[D] 15cm

3. The area of quadrilateral ABCD {as shown in figure)
{A} 57cm2
{B} 76cm2
{C} 114cm2
[D] 128cm2

4. In the volume { in cml} and surface area {in m2} of a sphere are numerically equal. then the radius at the sphere is
{A} 2cm
{B} 3cm
{C} 3.5cm
[D] 4cm

5. Given the five distinct points in a plane no three of them are col linear. The number of lines that can be drawn through them is
{A} 5
{B} 10
{C} 15
[D] 20

6. The mean of 10 observations is x first term is increased by l. the second is increased by 2. the third by 3 and so on. then the new mean is
{A} x+1
{B} x+5
{C} x+5.5
[D] x+10

7. The resistance of the filament of a 250 V, 37. A piece of wire is redrawn by pulling it until 100 watt lamp when glowing is: its length is doubled. If R is the resistance 4 of the original wire, the new wire will have
a) the resistance : 25 2R
b) 2.5 Q . 4R
c) 25 Q
d) 6225 Q R

8. A magnetic broken into three equal pieces. The strength of the new pole R 4.
a) remains the same 38. The rise b A and B in the
b) becomes one-half of the original value
c) becomes double of the original value
d) one third of the original value

9. A or B depending on the values of two 39. An object is placed at a distance of 10 cm resistances. in front of a concave mirror of radius of d) Cannot be predicted curvature 15 cm. The image formed has

10. The term used for hydrolysis of an ester in the presence of an alkali is
a) sanctification
b) hydration
c) electrification
d) fermentation

Physics :
1. Which of the lollowing has the different dimension than all others l
(A) Pressure
(B) Stress
(C) Strain
(D) Young‘s modulus

2. A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same, which one of the following will be not he affected ?
(A) Angular momentum
(B) Angular velocity
(C) Moment of incretia
(D) Rotational kinetic energy

3. A wheel of radius 1 in rolls forward half a revolution on a horizontal ground. The magnitude of the displacement of the point of the wheel initially in contact with the ground is
(A) 2
(B) root 2
(C) 4
(D) 2H

4. The time of the light of the projectile is T. There are two values of at the same height. The sum of these two times is equal to
(A) t/2
(B) 3t/4
(C) t
(D) 3t/2

5. A block of mass in is placed on a rough floor of a lift. The coefficient of friction between the block and the floor is 1.when the lift falls freely, the block is pulled horizontally on the floor. The force of friction will be
(A) 1mg
(B) 1/2 mg
(C) 2mg
(D) zero

6. A satellite of mass in is revolving at a height R above the surface of earth. The radius al’ earth is R. The gravitational potential energy of this satellite is
(A) -mg
(B) -mg/2
(C) -1/3mgr
(D) -1/7mgr

7. Which of the following orientations represents a traveling wave ? Here a hi c are constants
(A) y = a cos bx sin ct
(B) y easinhx- cosct
(C) y — a sin (bx + ct] —a sin (bx – ct}
(D) y = a sin {bx + ct)

8. The frequency of a fork is BUD Hz. The distance tlnough which sound travels by the time the fork makes 26 vibrations is (velocity of sound in air is 340 mt’s
(A) thn
(B) l0 tn
(C) 21.25 to
(D) 34 m

9. A H10 W bulb and a 209 W bulb are 31. designed to operate at at V and 220 ‘v’ respectively. The ratio of their resistances is
(A) 1
(B) 2
(C) 0
(D) 1/2

10. Which of the following has zero average value in a plane electromagnetic wave ’3‘
(A) Magnetic potential
(B) Electric energy
(C) Electric field
(D) Magnetic energy

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