Dr.A.S.Rao Awards Council XIV Science Talent Search Examination STSE Class X Model Paper
Name of the Organization : Dr.A.S.Rao Awards Council
Name of the Examination : Science Talent Search Examination (STSE)
Document Type : Model Paper – XIV Science Talent Search Examination
Class : X Std (E.M)
Website : http://www.drasraoawardscouncil.org/?page_id=38
Dr.A.S.Rao Awards XIV STSE Class X Model Paper
Download Question Paper of XIV Science Talent Search Examination (STSE) Model Paper Class X is now available in the official website of Dr.A.S.Rao Awards Council.
Related / Similar Question Paper :
DRASRAC Class 9th STSE Question Paper
Instructions
1. You have to mark your answers ONLY ON THE ANSWER SHEET provided. Indicate your answer by completely blackening the corresponding square block (s) provided in the answer sheet using a HB pencil.1/4Th Mark Will Be Deducted For Every Wrong Answer.
2. The questions given are of three types :
Section – A :
Q.Nos. 1 to 80 are multiple choice with only one correct answer. Blacken the square block completely corresponding to the correct answer (a/b/c/d) in the answer sheet provided.
Section – B :
Q.Nos. 81 to 120 are Assertion-Reason type questions. Blacken the square block completely corresponding to the correct answer (a/b/c/d) in the answer sheet.
Section – C :
Q.Nos. 121 to 150 are multiple choice which may have more than one answer. Blacken the square block(s) completely corresponding to the correct answer (s) (a/b/c/d) in the answer sheet. No credit for part of the answer.
3. If you wish to change the answer, you have to erase the corresponding square block completely and then blacken the correct square block.
4. Attempt all questions.
5. Write your Hall Ticket number completely and legibly on the answer sheet in the space provided.
6. No calculator or logarithm tables are allowed for use in the Hall.
7. Return only the Answer sheet to the invigilator at the end of the examination.
Download Question Paper :
www.pdfquestion.in/uploads/32900-tenth.docx
Model Questions
Section – A
40 x 1=40 marks :
Each question given below is provided with four options, of which only one option is correct. Blacken the correct one in the answer sheet.
1. A circular ground of radius 10m. is to be paved by 2001 identical tiles in the shape of isosceles triangles with lateral sides equal to 10m. If all the vertices should be at the centre, the length of the base of the tile is
a) 20 Sin (22/7 / 2001)
b) 10 Sin (22/7/ 2001)
c) 10 Sin (22/7 / 2001)
d) 10 Sin (22/7 / 2002)
2. The minimum value of (x-1)2 + (x-2)2 +…+(x-2001)2 is attained at x equal to
a) 2001
b) 1001
c) 2000
d) 1000
3. A lattice point in a plane is a point with integral coordinates. The number of lattice points in the interior of the rectangle whose vertices are (30,70), (100,70), (30,100) and (100,100) is
a) 2201
b) 2100
c) 2001
d) 1904
4. AD is the altitude of the equilateral triangle ABC. The circle with diameter AD cuts AB in E and AC in F. Then EF / BC is equal to
a) 1/2
b) 2/3
c) 3/4
d) 4/5
5. If a positive integer n leaves a remainder of p on division by a positive integer m>1, then the remainder obtained on dividing (n-p)m by m2 is
a) m
b) n
c) 0
d) none of these
6. Consider the five statements given in order below:
S1: All of the following are true
S2: None of the following is true
S3: Some of the following are true
S4: All of the above are true
S5: None of the above is true
Given that precisely one of the statements is true, the true statement is
a) S5
b) S4
c) S3
d) S1
7. P is a point outside a circle with centre 0. The locus of the midpoints of chords cut off the secants through P by the circle is a circle with centre at
a) P
b) 0
c) the mid point of OP
d) None of the above
8. The number of solutions of real numbers of the system x1x2=1, x2x3=2, x3x4=3,—– x2000 x2001=2000, x2001.x1 = 2001 is
a) 0
b) 1
c) 2
d) infinitely many
9. C is a point on the line segment AB. In a semicircle on AB two smaller semicircles are drawn, one on AC and another on BC. Let S be the area of the region bounded by the 3 semicircles. Let the common tangent at C to smaller semicircles meet the bigger semicircle in T. Let ? be the area of the semicircle on CT. The ?/S is equal to
a) 1
b) 2
c) 1/2
d) None of these
10. D is a point in the side AB of ?ABC. Parallel to BC through D meets AC in E. Parallel to DC through E meets AB in F. If AF=4 and FD=6 then DB is
a) 10
b) 15
c) 20
d) 25
Section – B
40 x 2 = 80 marks :
The following questions consist of two statements, one labeled the ASSERTION ‘A’ and the other labeled REASON ‘R’. You are required to examine these two statements carefully and decide if the ASSERTION ‘A’ & REASON ‘R’ are individually true and if so, whether the Reason is a correct explanation of the Assertion. Select your answers using the codes given below and mark your answer sheet accordingly.
Code :
Both A & R are true and R is the correct explanation of A a
Both A & R are true but R is not a correct explanation of A b
A is true but R is false c
A is false but R is true d
81. ASSERTION A: 2001 can be written as a difference of 2 perfect squares in precisely 4 different ways.
REASON R : 2001 can be written as a product of two odd positive integers in precisely 4 different ways.
82. ASSERTION A: The vertical angle of the isosceles triangle of sides 5,5,6 is supplementary to the vertical angle of the isosceles triangle of sides 5,5,8.
REASON R : The above two triangles have the same area.
83. ASSERTION A: If p,m,n are natural numbers and p/m,p/n then p / m+n.
REASON R : If p,m,n are natural numbers and p/m, p/n then p/m+n.
84. ASSERTION A: No parallelogram can be cyclic.
REASON R : In a parallelogram the opposite angles are equal where as in a cyclic quadrilateral the opposite angles are supplementary.
85. ASSERTION A: If non-empty finite sets S and T have respectively m,n elements and there exists a bijection f:S?T then m=n.
REASON R : If f has to be onto it is necessary that m?n and if f has to be one-one it is necessary that m?n.
Section – C
Q.Nos. 121 to 150 are multiple choice which may have more than one answer. Blacken the square block(s) completely corresponding to the correct answer (s) (a/b/c/d) in the answer sheet. No credit for part of the answer.
121. A set consisting of 2001 elements is partitioned into 58 disjoint subsets, no two sets containing the same number of elements. The smallest subset contains 6 elements and the largest 63. Then there exists a subset in the partition containing
a) 23 elements
b) 29 elements
c) 46 elements
d) 58 elements
122. Given n positive integers not necessarily distinct three of them can be found such that their sum is divisible by 3 if
a) n=3
b) n=3 and the chosen numbers leave different remainders on division by 3
c) n=4
d) n=5
125. There can not be a century whose last day is a
a) Sunday
b) Monday
c) Tuesday
d) Wednesday
126. Given two sets of positive real numbers {a,b,c}, {x,y,z} with the same GM and AM the sets are equal
a) always
b) if the sets have same HM
c) if {ab,bc,ca} and {xy,yz,zx} have the same AM
d) if the GM’s of {a,b},{b,c},{c,a} are respectively equal to the G.M.’s of {x,y},{y,z},{z,x}
127. If a rhombus is inscribed in a rectangle the triangles formed in the four corners are
a) equal in area
b) similar
c) congruent
d) None of these
130. A solution of the equation |x|-|2x|+|3x|-|4x|+….+\2001.x| =143 is
a) 7
b) 1/7
c) -7
d) -1/7
131. The properties which decrease down a group in the periodic table are
a) electronegativity
b) ionization energy
c) atomic size
d) reducing property
132. The p-block elements among the following are
a) Sodium
b) Calcium
c) Carbon
d) Fluorine
133. The molecules which contain multiple covalent bonds are
a) N2
b) CH4
c) CO2
d) NH3
134. Which of the following chlorides are covalent ?
a) CaCl2
b) MgCl2
c) BaCl2
d) BeCl2
135. Which of the following solutions are 0.5 M in concentration ?
a) 34.2 gm of sucrose (Mol.wt.=342) in 1 litre of solution
b) 53.0 gm of sodium carbonate (Mol.wt.=100) in 1 litre of solution
c) 41.5 gm of potassium iodide (Mol.wt.=166) in 500 ml of solution
d) 58.5 gm of sodium chloride (Mol.wt=58.5) in 500 ml of solution
136. Which of the following have a pH less than 7 ?
a) vinegar
b) grape juice
c) blood
d) milk of magnesia
137. The molecules which have a c=c bond are
a) propyne
b) ethane
c) butane
d) pentene
138. The metal oxides which give a green colour when added to glass are
a) Feo
b) MnO2
c) Cu2O
d) Cr2O3
139. In a resonance air column, when resonance takes place
a) Stationary wave is formed
b) In air there could be any number of nodes and antinodes
c) At the open end a node is formed
d) Four times air column length is integral multiple of wave length of sound in air
140. In case of bar magnet
a) magnetic moment has units of momentum
b) far away from magnet, magnetic field along axial line is twice of the field at the same distance along equatorial line
c) the neutral points lie along equatorial line if north pole of the magnet points to north pole of earth
d) the magnetic domains align their magnetization preferentially in one direction.
141. A voltage source E is connected across two parallel resistors R1 and R2
a) Power consumed is more in R1 if R1>R2
b) Voltage across R1 is more if R1>R2
c) Current is more in R1 if R1<R2
d) The total power consumed is two times than in individual resistances when R1=R2