PM Yashasvi 9th Class Maths – Important Bits – Ep-02

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PM Yashasvi 9th Class Maths 2

PM Yashasvi Scholarship 9th Class Maths – Important Bits – Ep-02

101. The one digit of the cube of 53 is:
A. 9
B. 3
C. 7
D. 1
Answer: C

102. The prime factorization of 64 is:
A. 2 x 2 x 2
B. 4 x 4 x 4
C. 8 x 8 x 8
D. None of the above
Answer: D

103. Which of the following is not a perfect cube?
A. 216
B. 1000
C. 243
D. 1331
Answer: C

104. By what number should 81 be divided to get a perfect cube?
A. 3
B. 6
C. 7
D. 9
Answer: A

105. By what number should we divide 135 to get a perfect cube?
A. 3
B. 5
C. 7
D. 9
Answer: B

106. The cube root of 512 is:
A. 4
B. 6
C. 8
D. 12
Answer: C

107. What should be divided by 53240 to make it a perfect cube?
A. 5
B. 10
C. 15
D. 20
Answer: A

108. The value of 43√1000 is:
A. 400
B. 40
C. 10
D. 4
Answer: B

109. A perfect cube of a number having 0 at its unit place, ends with _____ zeros.
A. 1
B. 2
C. 3
D. 4
Answer: C

110. Cube root of 15625 is:
A. 5 B. 15
C. 25 D. 35
Answer: C

111. The ratio of the speed of the cycle 12 km per hour to the speed of the scooter 36 km per hour is
A. 1:2          B. 1:3
C. 1:4          D. None of the above
Answer: B

112. The ratio of 10m to 10 km is:
A. 1/10
B. 1/100
C. 1/1000
D. 1000
Answer: C

113. The percentage of 1:4 is:
A. 75%
B. 50%
C. 25%
D. 100%
Answer: C

114. The percentage of 2:5
A. 20%
B. 50%
C. 60%
D. 40%
Answer: D

PM Yashasvi General Knowledge Important Bits

115. If 50% of students are good at science out of 20 students. Then the number of students good at science is:
A. 10
B. 15
C. 5
D. 11
Answer: A

116. The price of a motorcycle was Rs. 34,000 last year. It has increased by 20% this year. The price of a motorcycle now is:
A. Rs. 36,000
B. Rs. 38,800
C. Rs. 40,800
D. Rs. 32,000
Answer: C

117. An item marked at Rs. 840 is sold for Rs. 714. The discount % is:
A. 10%     B. 15%
C. 20%     D. 25%
Answer: B

118. A person got a 10% increase in his salary. If his salary was Rs. 50000, then the new salary is:
A. Rs. 55000
B. Rs. 60000
C. Rs. 45000
D. Rs. 65000
Answer: A

All competitive exams most important Bits

119. The cost of the article was Rs. 15500 and Rs. 500 was spent on its repair. If it is sold for a profit of 15%. The selling price of the article is:
A. Rs.16400
B. Rs.17400
C. Rs.18400
D. Rs.19400
Answer: C

120. Waheeda bought an air cooler for Rs. 3300 including a tax of 10%. The price of the air cooler before VAT was added is:
A. Rs. 2000
B. Rs. 3000
C. Rs. 2500
D. Rs. 2800
Answer: B

121. An algebraic expression that contains only one term is called:
A. Monomial
B. Binomial
C. Trinomial
D. None of the above
Answer: A

122. 5x+6y is a:
A. Monomial
B. Binomial
C. Trinomial
D. None of the above
Answer: B

123. The algebraic expression 3x+2y+6 is a:
A. Monomial
B. Binomial
C. Trinomial
D. None of the above
Answer: C

124. A polynomial contains _______ number of terms:
A. One
B. Two
C. Three
D. Any
Answer: D

125. In which of the following, the two expressions are like terms?
A. 7x and 7y
B. 7x and 9x
C. 7x and 7×2
D. 7x and 7xy
Answer: B

126. If we add, 7xy + 5yz – 3zx, 4yz + 9zx – 4y and –3xz + 5x – 2xy, then the answer is:
A. 5xy + 9yz +3zx + 5x – 4y
B. 5xy – 9yz +3zx – 5x – 4y
C. 5xy + 10yz +3zx + 15x – 4y
D. 5xy + 10yz +3zx + 5x – 6y
Answer: A

127. If we subtract 4a – 7ab + 3b + 12 from 12a – 9ab + 5b – 3, then the answer is:
A. 8a+2ab+2b+15
B. 8a+2ab+2b-15
C. 8a-2ab+2b-15
D. 8a-2ab-2b-15
Answer: C

128. If we multiply 5x and (– 4xyz), then we get:
A. 20x2yz
B. -20x2yz
C. x2yz
D. -2xyz
Answer: B

129. The product of 4x and 0 is:
A. 4x     B. 4
C. 0      D. None of the above
Answer: C

130. The volume of a cuboid with length, breadth, and height of 5x, 3×2, and 7×4 respectively is:
A. 105×7
B. 105×2
C. 105×4
D. 105x
Answer: A

131. A cube has ______ faces.
A. 4      B. 5
C. 6      D. 8
Answer: C

132. A number of vertices a cone has:
A. One
B. Two
C. Three
D. Four
Answer: A

133. A sphere has how many faces?
A. One
B. Two
C. Four
D. None
Answer: D

134. An example of the cone is:
A. Tube
B. A tent
C. A ball
D. A box
Answer: B

135. The top view of a cone looks like this:
A. A Circle
B. A Square
C. A Rectangle
D. A Triangle
Answer: A

136. The top view of a cube looks like a:
A. Circle
B. Square
C. Rectangle
D. Triangle
Answer: B

137. The top view of a cuboid looks like a:
A. Circle
B. Square
C. Rectangle
D. Triangle
Answer: C

138. The side-view of a cone appears as:
A. Circle
B. Square
C. Rectangle
D. Triangle
Answer: D

139. The base of a prism is:
A. Circle
B. Triangle
C. Square
D. Any shape
Answer: D

140. If a polyhedron has 6 vertices and 12 edges. What is the number of faces it has?
A. 6
B. 8
C. 12
D. 18
Answer: B

141. The general form of ABC is:
A. 100a + 10b + c
B. 100b + 10c + a
C. 100c + 10a + b
D. None of the above
Answer: A

142. The generalized form of 129 is:
A. 100+90+2
B. 100+20+9
C. 100+2+9
D. None of the above
Answer: B

143. The usual form of 100 × 7 + 10 × 1 + 8 is:
A. 108       B. 708
C. 718       D. 170
Answer: C

144. Which of the following numbers is not divisible by 5?
A. 20      B. 125
C. 122    D. 200
Answer: C

145. Which of the following numbers are divisible by 10?
A. 99
B. 45
C. 110
D. 75
Answer: C

146. Which of the following are divisible by 2?
A. 98
B. 99
C. 101
D. 121
Answer: A

147. If a number is divisible by 9, then it is divisible by:
A. 6
B. 7
C. 3
D. 11
Answer: C

148. If the three-digit number 24x is divisible by 9, the value of x is:
A. 3
B. 7
C. 1
D. None of the above
Answer: A

149. The number 2146587 is divisible by:
A. 7
B. 3
C. 11
D. None of the above
Answer: B

150. The number 15287 is divisible by:
A. 3
B. 7
C. 9
D. None of the above
Answer: D

151. A ________ is a bar graph that shows data in intervals.
A. Bar-graph
B. Pie-chart
C. Histograph
D. Line Graph
Answer: C

152. A graph that displays data that changes continuously over periods of time is called:
A. Bar-graph
B. Pie-chart
C. Histograph
D. Line Graph
Answer: D

153. A line graph which is a whole unbroken line is called a:
A. Linear graph
B. Pie-chart
C. Histograph
D. Bar-graph
Answer: A

154. Which point lies only on y-axis?
A. (-2,0) B. (2,0)
C. (0,-2) D. (2,-2)
Answer: C

155. If we join (-3,2), (-3,-3) and (-3,4), then we obtain:
A. A triangle
B. Straight-line without passing through origin
C. Straight-line passing through origin
D. None of the above
Answer: B

156. The point (4,0) lies on which of the following?
A. x-axis B. y-axis
C. origin D. None of the above
Answer: A

157. The point (-2,-2) is:
A. near to x-axis
B. near to y-axis
C. near to origin
D. Equidistant from x-axis and y-axis.
Answer: D

158. The point (-2, 5) is nearer to:
A. x-axis
B. y-axis
C. origin
D. None of the above
Answer: B

159. The point (-5, 2) is nearer to:
A. x-axis
B. y-axis
C. origin
D. None of the above
Answer: A

160. The point (0,0) lies at:
A. x-axis
B. y-axis
C. origin
D. None of the above
Answer: C

161. The factorisation of 12a2b+15ab2 gives:
A. 3ab(4ab+5)
B. 3ab(4a+5b)
C. 3a(4a+5b)
D. 3b(4a + 5b)
Answer: B

162. The factorisation of 12x+36 is
A. 12(x+3)
B. 12(3x)
C. 12(3x+1)
D. x(12+36x)
Answer: A

163. On factorising 14pq + 35pqr, we get:
A. pq(14+35r)
B. p(14q+35qr)
C. q(14p+35pr)
D. 7pq(2+5r)
Answer: D

164. The factors of 6xy – 4y + 6 – 9x are:
A. (3x + 2) (2y + 3)
B. (3x – 2) (2y – 3)
C. (3x – 2) (2y + 3)
D. (3x –+2) (2y – 3)
Answer: B

165. The factors of x2+xy+8x+8y are:
A. (x+y) (x+8)
B. (2x+y) (x+8)
C. (x+2y) (x+8)
D. (x+y) (2x+8)
Answer: A

166. The factors of 4y2 – 12y + 9 is:
A. (2y+3)2
B. (2y-3)2
C. (2y-3)(2y+3)
D. None of the above
Answer: B

167. The factors of 49p2 – 36 are:
A. (7p+6)2
B. (7p-6)2
C. (7p – 6 ) ( 7p + 6)
D. None of the above
Answer: C

168. The factors of m2 – 256 are:
A. (m + 4)2
B. (m – 4)2
C. (m – 4) (m+4)
D. None of the above
Answer: D

169. When we factorise x2+5x+6, then we get:
A. (x +2) (x + 3)
B. (x – 2) (x – 3)
C. (x × 2) + (x × 3)
D. (x × 2) – (x × 3)
Answer: A

All competitive exams most important Bits

170. The factors of 3m2 + 9m + 6 are:
A. (m + 1) (m + 2)
B. 3(m + 1) (m + 2)
C. 6(m + 1) (m + 2)
D. 9(m + 1) (m + 2)
Answer: B

171. The common factor of a3b3 and ab2 is:
A. a2b2
B. ab2
C. a2b
D. ab
Answer: B. ab2

172. The common factor of a3b2 and a4b is:
A. a4b2
B. a4b
C. a3b2
D. a3b
Answer: D. a3b

173. The common factor 12a and 30 is:
A.6
B. 12
C. 30
D. 6a
Answer: A. 6

174. The common factors of 10a, 20b and 30c are:
A. ab
B. ac
C. 10abc
D. 10
Answer: 10

175. The common factor of 6x3y4z2, 21x2y and 15×3 is:
A. 3×2 B. 3×3
C. 6×3 D. 6×2
Answer: A. 3×2

176. The common factor of 24a3b4, 36a4c4 and 48a3b2c is:
A. 12a3 B. 24a3
C. 36a3 D. 48a3
Answer: A. 12a3

177. The factorisation of 12x2y + 15xy2 is:
A. 3xy2 (4x + 5y)
B. 3x2y (4x + 5y)
C. 3xy (4x + 5y)
D. 3x2y2 (4x + 5x)
Answer: C. 3xy (4x + 5y)

178. The factorisation of 5x – 20 is:
A. 5(x-5)
B. 5(x-4)
C. 5(x-3)
D. 5(x-20)
Answer: B. 5(x-4)

179. The factorisation of 8x + 4y is:
A. 8(x+4y)
B. 4(2x+4y)
C. 8(x+y)
D. 4(2x+y)
Answer: D. 4(2x + y)

180. The factors of xyz are:
A. x
B. y
C. z
D. All of the above
Answer: D.

181. The width or size of the class interval 30-40 is:
a) 10
b) 30
c) 40
d) 70
Answer: (a)

182. If a coin is flipped in the air, what is the probability of getting a tail?
a) 0
b) ½
c) 1
d) 2
Answer: (b)

183. A bag has 4 red balls and 4 green balls, what is the probability of getting a red ball randomly?
a) 1/4
b) 1/8
c) 1/2
d) 0
Answer: (c)

184. If a die is thrown in air, the probability of getting even numbers is:
a) ½
b) ⅙
c) ⅓
d) ⅔
Answer: (b)

185. Pictorial representation of data using symbols is known as:
a) Bargraph
b) Pictograph
c) Piechart
d) None of these
Answer: (b)

186. Double bar graphs display ______ sets of data simultaneously.
a) Four
b) Three
c) Two
d) No
Answer: (c)

187. _________ gives the number of times a particular entry occurs.
a) Organisation of data
b) Collection of Data
c) Representation of Data
d) Frequency distribution table
Answer: (d)

188. In grouped data, each of the group is called:
a) Class interval
b) Collection of data
c) Frequency
d) Grouped frequency distribution
Answer: (a)

189. If 20-30 is the class interval of grouped data, then lower class limit is:
a) 50
b) 30
c) 20
d) 10
Answer: (c)

190. The difference between the upper class limit and lower class limit of a class interval is called:
a) Frequency
b) Width
c) Grouped data
d) Ungrouped data
Answer: (b)

191. Which of the following is not a linear equation in one variable?
a) 33
b) 33(x+y)
c) 33x
d) 33y
Answer: (b)

192. The solution of 2x-3=7 is:
a) 5
b) 7
c) 12
d) 11
Answer: (a)

193. The solution of 2y + 9 = 4 is:
a) 9/2
b) 4/9
c) -⅖
d) -5/2
Answer: (d)

194. The solution of y/5 = 10 is:
a) 15
b) 10
c) 50
d) 5
Answer: (c)

All competitive exams most important Bits

195. What should be added to -7/3 to get 3/7?
a) 21/58
b) 58/21
c) 47/21
d) 50/21
Answer: (b)

196. The perimeter of rectangle is 20cm. If the length of rectangle is 6cm, then its breadth will be:
a) 4 cm
b) 6 cm
c) 10 cm
d) 14 cm
Answer: (a)

197. The age of father is three times the age of son. If the age of son is 15 years old, then the age of father is:
a) 50 years
b) 55 years
c) 40 years
d) 45 years
Answer: (d)

198. The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. The two numbers are:
a) 60 and 6
b) 100 and 33
c) 110 and 44
d) 99 and 33
Answer: (c)

199. Three consecutive integers add up to 51. The integers are:
a) 16,17,18
b) 15,16,17
c) 17,18,19
d) 18,19,20
Answer: (a)

200. What is the range of the data set: {5, 12, 9, 8, 15, 6, 10}?
a) 7
b) 8
c) 10
d) 15
Answer: a) 7

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