उत्तराखण्ड विद्यालयी परिषद् ( UBSE – Uttarakhand Board Of School Education ) के द्वारा 24 March 2021को Uttarakahnd TET (UTET) की परीक्षाओ का आयोजन कराया गया

UTET Exam Paper 2 ( Mathmatics and science) Answer key -24 March 2021

UTET – Paper 2 परीक्षा का आयोजन दिनांक 24 मार्च 2021 को किया गया, जो दिन में 2 बजे से सायं 4 :30 बजे तक सम्पन्न हुई ,

**Exam name** – UTET (Uttrakhand Teaching Eligibility Test ) Paper -2

**Orgnized By** – UBSE (Uttarakhand Board Of School )

**Exam Date** – 24 MARCH 2021

**Exam Time** – 4 PM TO 4:30 PM

### UTET Exam Paper – 2

Mathmatics and science

Answer Key : 24 March 2021

91. If ( (2)^-1-+ (4)^-1+ (6)^-1-+ (8)^-1)^x

then the value of x is –

(A) -1

(B) 0

(C) 1

(D) 12

92. The digit in the tens place of a two digit number is 3 more than digit in the units place. Let the digit at units place be b. Then number is –

(A) 11b + 30

(B) 10b + 30

(C) 11b + 3

(D) 10b + 3

93. Both x and y vary inversely with each other. When x is 10, y is 6. Which of the following is not a possible pair of corresponding values of x and y?

(A) 12 and 5

(B) 15 and 4

(C) 25 and 2.4

(D) 45 and 1.3

94. Listed below the temperature in °C for 10 days – -6, -8,0, 3, 2, 0, 1, 5, 4, 4 what is the range of the data ?

(A) 8 °C

(B) 10 °C

(C) 11°C

(D) 13°C

95. Two numbers x and y are such that when they are devided by 6, leaves remainder 4 and 5 respectively, then the remainder obtained when x2 + y2 is again devided by 6 is –

(A) 5 .

(B) 4

(C) 3

(D) 2

96. If length and breadth of a rectangle is increased and decreased by 25% and 20% respectively, then change in the area will be as follows :

(A) no change

(B) increased by 25%

(C) increased by 20%

(D) decreased by 10%

102. The sum of interior angles of a polygon is 2160°. The number of sides of the polygon is :

(A) 14

(B) 12

(C) 13

(D) 15

103. If the number of vertices, edges and faces of a rectangular parallelopiped are denoted by v, e and frespectively, then (v-e+f) is :

(A) 2

(B) 4

(C) 0

(D) 1

104. The radius of an inscribed circle of a triangle with sides 3 cm, 4 cm and 5 cm is :

(A) 2 cm

(B) 3 cm

(C) 4 cm

(D) 1 cm

105. Which of the following number in Roman Numerals is incorrect?

(A) LXII

(B) XCI

(C) LC

(D) XLIV

106. If the product of four consecutive natural numbers is added to a natural number P, a perfect square is obtained. The value of P is :

(A) 8

(B) 4

(C) 2

(D) 1

108. A sum of 1710 is divided into A, B and C such that 4 times of A, 6 times of B and 9 times of C are equal. The difference between amount of A and C is :

(A) 360

(B) 450

(C) 480

(D) 540

109. If the sum of first n natural numbers is 55, then the value of n is :

(A) 8

(B) 9

(C)10

(D) 11

110. The average of 5 successive even numbers A, B, C, D and E is 106, then the product of B and D is :

(A) 11440

(B) 11024

(C) 10608

(D) 11232

111. The length, breadth and height . 5m. 4m and 3m respectively,

roomThe area of four walls is :

(A) 64 m2

(B) 60 m2

(C) 70 m2

(D) 54 m2

112. Mathematical communication refers to:

(A) Ability to solve problems

(B) Skills to participate a Mathematics quiz

(C) Ability to speak in Mathematics classroom

(D) Ability to consolidate and organize mathematical thinking

113. Read the following statements :

(i) Axioms are propositions which areassumed.

(ii) Axioms are special theorems.

(iii) Axioms are definitions.

(iv) Axioms when proved becomes theorems.

Which of the statement(s) is/are correct?

(A) (i) and (iv)

(B) Only (ii)

(C) Only (1)

(D) (i) and (iii)

114. A child of class VII defined the rectangle as follows : “Rectangle is a quadrilateral whose opposite sides are parallel and equal”. The definition reflects that the child

(A) cannot recognize the shape.

(B) do not know the correct properties of the shape.

(C) knows the properties of the shape, but repeated some

properties in definition.

(D) knows some properties but missed some important points to complete the definition.

115. Which of the following cannot beconsidered as a reason for fear and failure in mathematics?

(A) Symbolic notations

(B) Structure of mathematics

(C) Gender differences

(D) Classroom experiences

116. Which of the following assessment strategies can be used to make connections of mathematics with real life and promote interdisciplinary?

(A) Survey, Project, Checklist

(B) Field trip, oral test, checklist

(C) Field trip, Survey, Project

(D) Field trip, Oral test, drill worksheet

117. “Tall shape of Mathematics” mentioned in NCF 2005 refers to :

(A) Solving challenging problems

(B) Creating maths game

(C) Providing hands-on experience

(D) Building of one concept on another concept

118. A cube of side 5 cm is painted on all its faces. If it is sliced into 1 cubic centimetre cubes, how many cubic centimetre cubes have exactly one of their faces painted?

(A) 27

(B) 42

(C) 54

(D) 142

119. Which of the following vary inverselywith each other?

(A) speed and distance covered.

(B) distance covered and taxi fare.

(C) distance travelled and time taken.

(D) speed and time taken.

120. Four times a number is how much % increase in that number?

(A) 200%

(B) 300%

(C) 400%

(D) 500%

121. Total internal reflection is possible when light travels from

(A) Air to water

(B) Air to glass

(C) Water to glass

(D) Glass to water

122. Which of the following reproduces only inside a host cell?

(A) Bacteria

(B) Virus

(C) Amoeba

(D) Fungus

123. A disease in human beings caused by virus is –

(A) Typhoiet

(B) Influenza

(C) Dysentry

(D) Cholera

124. The disease caused by a protozoan and spread by an insect is

(A) dengue

(B) malaria

(C) polio

D) measles

125. Under a microscope a student observes a cell that has a cell wall but no distinct nucleus. The cell that she observes is

(A) a plant cell

(B) an animal cell

(C) a nerve cell

(D) a bacterial cell

126. BHC and Malathion are

(A) Pesticides

(B) Insecticides

(C) Fungicides

(D) Weedicides

127. One of the examples of radiation pollutants is –

(A) SO2

(B) O 3

(C) Iodine 131

(D) Discarded electric bulbs

128. Purest form of coal is –

(A) Lignite

(B) Bituminous

(C) Anthracite

(D) Peat

129. Melting Point of pure ice is

(A) 273K

(B) OK

(C) -273 K

(D) 300K

130. The light given out by living bodies is called

(A) Fluorescence

(B). Bioluminescence

(C) Luminescence

(D) None of these

131. A non metal which is a good conductor of heat and electricity is –

(A) Diamond

(B) Sulphpur

(C) Graphite

D) Phosphorous

132. The formula of one molecule of phosphorous is

(A) P

(B) P4

(C) P6

(D) P8

133. The reason for using Aluminium (AI) in the alloy Duraluminium is

(A) Al is brittle

(B) Al decreases strength

(C) Al brings lightness

(D) Allowers melting point

134. Which of the following is/are correctly matched

1. Sour milk – Lactic acid

2. Grapes – Tartaric acid

3. Bee sting – Maleic acid

4. Vinegar – Acetic acid

(A) 1, 2 and 3

(B) 1, 2 and 4

(C) 2, 3 and 4

(D) 1, 2, 3 and 4

135. Which of the following is/are correct for crystallisation –

1. It is a physical change.

2. It is used to obtain pure substance.

(A) Only 1

(B) Only 2

(C) Both 1 and 2

(D) Neither 1 Nor 2

136. Which of the following is/are correct for solutions

1. A solution is a heterogenous mixture of two or more substances.

2. It can be in solid, liquid or gas phase.

(A) Only 1

(B) Only 2

(C) Both 1 and 2

(D) Neither 1 nor 2

137. Full form of ICT is –

(A) Information and communication technology

(B) Information and computer technology

(C) Innovative and communications technology

(D) None of these

138. From which class skill development course will start in the New Education Policy, 2020

(A) Class 5

(B) Class 6

(C) Class 4

(D) Class 8

139. Which one of the following is not a quality of scientific attitude?

(A) Curiosity to learn more

(B) Objectivity in approach to problems

(C) Hard work

(D) Open mindedness

140. Why is formative assessment important in science?

(A) It helps in developing scientific temper in students.

(B) It is diagnostic.

(C) It helps in better understanding of science.

(D) It is easy to conduct.

141. According to NCF-2005, “good science education is true to life”. What does this mean?

(A) Science should be able to engage the child meaningfully.

(B) Science should enable the child in learning the processes of

acquiring scientific knowledge.

(C) Science should help in living easy life.

(D) Science should prepare the child to the world of work.

142. Why are science fairs organised in schools?

(A) To help the students to score higher in their examination.

(B) To nurture creativity and experimentation in science among

students.

(C) To evaluate students on their performance.

(D) To prepare students for highereducation in science.

143. Sarika took distilled water in a bottle and tried to find whether it conducts electricity or not. What is she likely to find?

(A) It is good conductor of electricity.

(B) It is an insulator.

(C) It is poor conductor of electricity,

(D) None of the above

144. The value of one nanometer is –

(A) 10-3 micron

(B) 10-4 micron

(C) 10-5 micron

(D) 10-9 micron

145. When a wave goes from one medium to another, there is a change in –

I. Velocity II. Amplitude III. Frequency IV. Wavelength Choose the correct option

(A) Only I

(B) I and III

(C) I, II and IV

(D) All of the above

146. Momentum of a particle of mass m is p.

Its Kinetic energy will be –

(a) (p)^2m/2

(b) (p)^2/m

(c) p/2m

(d) (p)^2/2m

147. The mass of a man is 72 kg at Earth. The value of g at the Moon’s surface is 1/6 of that on the Earth. The mass of man at the Moon will be –

(A) 12 kg

(B) 120 kg

(C) 72 kg

(D) 432 Kg

148. Which of the following effect is not found in sound waves?

(A) Polarization

(B) Reflection

(C) Interference

(D) Diffraction

149. If the pressure over a liquid increases, its boiling point –

(A) increases

(B) does not change

(C) first decreases and then increases

(D) decreases

150. Radiation with maximum penetration power is –

(A) Infrared radiation

(B) Ultraviolet radiation

(C) X-rays

(D) Gamma rays