**UTET Exam Nov 2021 Paper – 1 (Primary Level)**

**Exam Date : 26.11.2021**

**Part – IV – Mathematics**

**91. If 2160 = 22**^{a}** x 3**^{b}** x 5**^{c}**, then the value of 3**^{a}** x 2**^{-b}** x 5**^{-c}** will be –**

(A) 81/40

(B) 37/39

(C) 1/2

(D) 0

Answer – (A)

**92. If third Friday is on 16th of month then what will be the date of fourth Tuesday of that month?**

(A) 27

(B) 29

(C) 20

(D) 22

Answer – (A)

**93. If the length and breadth of a room is decreased by 10% and 20% respectively, while height is increased by 5%, then what percentage will be changes in the volume of the room?**

(A) 24.4%

(B) 24.6%

(C) 24%

(D) 24.2%

Answer – (A)

**94. If number 5132416p is divisible by 3, then which digit will come in place of p?**

(A) 8

(B) 6

(C) 7

(D) 9

Answer – (A)

**95. The value of **

**
**

**will be –**

(A) 14

(B) 12

(C) 16

(D) 13

Answer – (C)

**96. When the number 398 is divided by 5, then the remainder is –**

(A) 1

(B) 2

(C) 3

(D) 4

Answer – (D)

**97. In how many hours, the number of seconds is equal to the number of minutes in 10 days –**

(A) 2 hours

(B) 3 hours

(C) 4 hours

(D) 5 hours

Answer – (C)

**98. If**

**then the value of x and y are –**

(A) x = 9; y = 3

(B) x = 3; y = 9

(C) x = 5; y = 8

(D) x = 4; y = 8

Answer – (C)

**99. The square root of (7 + 2√6) is –**

(A) √6 + 1

(B) √3 + 2

(c) √2 + √5

(D) 2 + √5

Answer – (A)

**100. The volume of a cube is 64 cm. The total surface area of the cube will be**

(A) 12 cm^{2}

(8) 24 cm^{2}

(C) 48 cm^{2}

(D) 96 cm^{2}

Answer – (D)

**101. A right angled triangle cannot be –**

(A) An equilateral triangle

(B) An isosceles triangle

(C) A scalene triangle

(D) A polygon

Answer – (A)

**102. The greatest five digit perfect square number is –**

(A) 99999

(B) 99976

(C) 99856

(D) 99764

Answer – (C)

**103. The value of**

** **

**will be – **

(A) 21/10

(B) 17/10

(C) 8/10

(D) 12/10

Answer – (A)

**104. How many natural numbers lie between 3 and 200 which are divisible by 7?**

(A) 2

(B) 28

(C) 29

(D) 30

Answer – (B)

**105. If HCF (a, 8) = 4 and LCM (a, 8) = 24, then the value of ‘a’ is –**

(A) 14

(B) 8

(C) 10

(D) 12

Answer – (D)

**106. In a circular park of diameter 80m, there is a square shaped playground of maximum area. The area of the playground is –**

(A) 6400 m^{2}

(B) 3200 m^{2}

(C) 1600 m^{2}

(D) 12800 m^{2}

Answer – (B)

**107. The method in which new rules are established by examples is –**

(A) Deductive Method

(B) Inductive Method

(C) Analytical Method

(D) Synthesis Method

Answer – (B)

**108. The oldest branch of Mathematics is –**

(A) Algebra

(B) Arithmetic

(C) Geometry

(D) Astrology Math

Answer – (B)

**109. What is the importance of Mathematics at Primary level?**

(A) Cultural

(B) Social

(C) Religious

(D) Mental

Answer – (D)

**110. According to Hogben – “Mathematics is the mirror of Civilization.” This statement corresponds to which value of Mathematics?**

(A) Cultural Value

(B) Social Value

(C) Disciplinary Value

(D) None of these

Answer – (A)

**111. If x:y = 1:2, then the value of (8x + 9y) : (8x + 2y) will be –**

(A) 22 : 29

(B) 29 : 22

(C) 13 : 6

(D) 6 : 13

Answer – (C)

**112. If a metallic cone of radius 30 cm and height 45 cm is melted and recast into metallic spheres of radius 5 cm, find the number of spheres –**

(A) 81

(B) 41

(C) 80

(D) 40

Answer – (A)

**113. A work can be completed by P and Q in 12 days, Q and R in 15 days & R and P in 20 days. In how many days P alone can finish the work?**

(A) 10

(B) 20

(C) 30

(D) 60

Answer – (C)

**114. The average marks obtained by 40 students of a class is 86. If the 5 highest marks are removed, the average reduces by one mark. Find the average marks of top 5 students –**

(A) 92

(B) 96

(C) 93

(D) 97

Answer – (C)

**115. What is the major problem found in primary level teacher of mathematics?**

(A) Lack of pedagogical training

(B) Lack of preparation

(C) Busyness in record maintenance

(D) None of these

Answer – (A)

**116. Which of the following method is based on principles of “Watch, listen and learn”?**

(A) Laboratory Method

(B) Demonstration Method

(C) Lecture Method

(D) Research Method

Answer – (B)

**117. If x + y= 2a, then the value of a/(x – a) + a/(y – a) is –**

(A) 2

(B) 2a^{2}

(C) 0

(D) 2a

Answer – (C)

**118. Zinc and Copper are in the ratio 5:3 in 400 gm. of an alloy. How much of copper (in gms) should be added to make the ratio 5 : 6?**

(A) 50

(B) 150

(C) 550

(D) 300

Answer – (B)

**119. If 1 is subtracted to both the numerator and the denominator of a fraction, it becomes 1/3. If 1 is added to both the numerator and denominator of that fraction, it becomes 1/2. Then the sum of numerator and denominator of that fraction is –**

(A) 10

(B) 18

(C) 7

(D) 16

Answer – (A)

**120. A car can finish a certain journey in 10 hours at speed of 48 km/h. In order to cover the same distance in 8 hours, the speed of the car must be increased by –**

(A) 6 Km/h

(B) 12 km/h

(C) 15 Km/h

(D) 60 Km/h

Answer – (B)

## Be the first to comment