General Mathematics MCQs

1. 9+9+2+5

2. Solve for x: x + 7/3 = 5

3. Which of the following describes the Real Numbers?

4. Solve x for: x^2+4x+4 = 0

5. If a cube has side length 's' where s = 8, what is the volume of the cube ?

6. Solve for x: x-2x+1=0

7. What is true about an acute angle?

8. 3^4 =

9. Solve for x: (x-2)(x+3)=0

10. Solve for x: x^3=-1

11. What is the average of 1, 2, 3, 4,5?

12. x^2 - 4=?

13. Solve for n: 4+2n=t

14. What is the elapsed time between 9:15 AM and 9:30 PM

15. If x+y=y, what is x equal to?

16. Solve for w: w/2 = 7/9

17. What is the measure of a right angle?

18. What is the sum of degrees in a triangle?

19. Which of these is equivalent to 4x-8?

20. Which of the following numbers is largest? -18 -2 -3 -0.5

21. A cab charges $0.75 per mile. What is the cost of 10 mile trip?

22. How many degrees are there in a circle?

23. Simplify: 6x+3y-4x-5y

24. Find the value of x in x/3=6/9

25. -2(3x+2y)=?

26. Solve for x and y: (x-2)(y+3)=0

27. Solve for x: 5x+3=2

28. Which number is a prime number ?

29. Simplify: x-4y+6x+2y

30. Solve for t: 2+2t=n

31. What is 5% of 65?

32. Simplify: 24 / 36

33. 2^3+3^2=?

34. Which is the correct?

35. Simplify: x^2 + 6x + 9

36. Solve for x: 37 - 4x =1

37. Solve for x: 1/x + 2/x = 1

38. Ln 1 = ??

39. What number is 30% of 240?

40. Solve for x: x+4x+4=0

41. Solve for y: y^3 = 27

42. Solve for x: 2x-3>1

43. What is the next term in this series? {1, 1, 2, 3 , __ }

44. 9+2*5+5

45. 4!=?

46. Which of the following is a sextic equation ?

47. What is the next number in the sequence: 2 4 16

48. Simplify the Square root of 32.

49. Which of the following represents the base associated with the natural logarithm?

50. Find f '(x) of this: x^2 + x^3

51. If two angle measures in a triangle are 83 and 29 what is the measure of the third angle?

52. The sum of n/2 for values between 1 and n, as n approaches infinity, approaches ___ .

53. 4 - 5 x 2 + 7 =?

54. What is the derivative w.r.t 'x' of the function f(x) = 6sin(3x) ?

55. What number is 70% of 370?

56. What is the discriminant of the quadratic equation y = ax^2 + bx + c ?

57. Which of the following is NOT a valid identity?

58. Factor: x^2-2x-8

59. Solve for x: x-6x = 3x-56 ?

60. If the discriminant of a quadratic equation is zero, what must be true?

61. 2^6-7

62. If 3x=6x-15 then x + 8=

63. a(n) = a(n - 2) + a(n - 1), a(0) = 1, a(1) = 1 defines which sequence?

64. 3^x=81

65. A triangle has three angles named a,b, and c. Angle a = 23° and Angle b = 68°. What must be true about angle c ?

66. Find the midpoint of line point A(2,5) and B(-1,7)

67. What is the slope of a line that passes through the points (3, 7) and (-4, 8)?

68. What is the value of ln(4e), where 'e' is the natural base ?

69. if sin A=4/5 Then cos A=?

70. aX^2+bX+c = 0 , If Answers are X = p , X = q what is the value of p+q

71. What is the contrapositive of the statement 'If I walked outside, then it will rain.' ?

72. If x^2 -3x -4 = 0 then x=?

73. Which of the following are the factors of x^2 - x - 5?

74. If x^4 =1 ; then x^5 is ::

75. Evaluate 1+2+3+4+5+...+95+96+97+98+99+100

76. A trapezoid has bases measuring 6cm and 4cm and its height is 3cm. Find its area.

77. Which set of coefficients from Pascal's triangle would you use in the expansion of (a+b)^5 ?

78. What is a fractal?

79. Consider a right triangle with an adjacent side of 3 meters and the opposite side has a length of 4 meters. Which expression represents cos(θ) for the triangle described above?

80. What is 400° when converted into radians ?

81. Which is NOT a perfect cube?

82. What is the fourth value in the series (90, 80, 70) if an average of 85 is desired?

83. If the volume of a cube is 27, what is the surface area of the cube?

84. If a quadratic equation 2x^2+8x+4=0 has two roots a and b, then a+b=?

85. What is the equation of the horizontal asymptote of the function: f(x) = 3(x+3)(x-2)/(x+5)(x-1)

86. Consider a circular sector with angle θ = 45° and radius r = 16 meters. What is the arc length of the circular sector?

87. Which is NOT a purpose of Pascal's Triangle?

88. if the arithmetic, geometric and harmonic means between two positive numbers are A, G and H, then which is correct

89. What is tan(120°) to the nearest hundredth?

90. What is the slope of a line perpendicular to y = (5)(-2x + 1)

91. ABCD is a parallelogram whose side lengths are 4 and 7. The angular bisectors of interior angles are drawn to intersect one another to form quadrilateral. Let one angle of parallelogram is equal to sixty degrees. Then find the nearest integer to the area of the quadrilateral formed by the angular bisectors.

92. What is ∫ cot(x) dx ?

93. What is the probability of rolling a sum of 5 with two standard six sided dice? (simplest form)

94. Find ? (-251*21*-12)/?=158.13

95. Complete the given equation. sin'(2xV(1-x2) = ?

96. What is the value of a and b, if we have [a/3 + 2, b — 4/3] = [10/3, 2/3]?

97. What is the value of dy/dx, ifx = pa2 and y = 2pa?

98. Consider the matrices given in the Figure 1, and choose the correct value ofXY from the Figure 2.

99. Consider the value of X in the Figure 1 and choose the correct value of Xn from the options given in Figure 2.

100. Which of the following statements correctly def‌ines collinear vectors?

101. Which of the following measures is/are vector(s)? i) 50 km/h ii) 12 g/cm2 iii) 10 m/s towards west

102. Which of the following options is correct, if it is given that X = {4, 5, 6, 7] and Y = {5, 6, 7, 8}?

103. Consider a bank where the principal increases at a continuous rate of 5% per year. How many years will it take to double the amount of Rs. 1000?

104. There are 1000 people enrolled in a f‌itness camp out of which 430 are women. Out of 430 women, 10% are enrolled in a yoga class. What is the probability that a randomly chosen person is a women and is enrolled in the yoga class?

105. A relation should have which of the following characteristics for it to be an equivalence relation? 1) Symmetric ii) Reflexive iii) Transitive

106. If we have two square matrices X and Y of order m, then under which of the following conditions Y is considered an inverse matrix of X?

107. Which of the following options is the correct integral value offdx/(1+tan x)?

108. What is the correct value of sin‘1 (sin 31'r/5) for the interval [-n/2, n/2]?

109. What will be the correct value when 2x sin (x2 +1) is integrated with respect to x?

110. For the polynomial equation x2 + 7x + 10, which of the following options are its correct roots?

111. Consider the matrices X and Y given in the Figure 1, and Choose the correct value of Y'X' from the Figure 2.

112. Which of the following statements is correct about the points given in the image.

113. If the slope of a tangent to the curve at any point (x, y) is 2x/y2, then which of the following options is the correct equation of a curve that passes through the point (-2, 3)?

114. A box contains 18 red and 10 blue candies. If two candles are drawn from the box one after the other without replacement, then which of the following options is the correct probability that both the drawn candies are red?

115. Which of the solutions given in the image is obtained after solving the differential equation. (tan'1y — x)dy = (1 + y2)dx?

116. Read the statement given in the image. and select if true or false.

117. Choose the correct answer from the options given below.

118. What is the correct integral value offdx/(m2 —x2)?

119. Which of the following statements is correct about the points given in the image.

120. If three cards are drawn successively from a pack of 52 cards without replacement, then what is the probability that the first two cards are king and the third card is an ace?

121. Which of the following options is the correct value ofthe quotient and the remainder, if 3x3 + x2 +2x + 5 is divided by1+ 2x + x2?

122. Calculate the correct integral value of the function fsin 2x cos 3x dx, and select the correct answer.

123. During a fun game of dice, Nina promised to speak the truth 3 out of 4 times. She threw the dice and told everyone that it was a f‌ive. What is the probability that it was actually a f‌ive?

124. Which among the following options is the correct principle value of cot‘1(-1/3”2)?

125. Which of the following options is the correct principle value of sin' (1/21’2)?

126. For a square matrix X with real number entities. which of the following options is a skew-symmetric matrix?

127. For a square matrix X with real number entities, which of the following options is a symmetric matrix?

128. What is the correct integral value off‌lsin x/sin (x + p))dx?

129. Which of the following options is the correct value of the area of a parallelogram whose adjacent sides are given by the vectors as shown in the image?

130. Complete the given equation. tan‘1 p — tan‘1 q = tan’1 _, where pq>~1

131. Complete the given equation. 2tan‘1x = , where |xl<1

132. If q 6 R, then what is the value of tan‘1 q + cot‘1 q?

133. Which of the following outputs is obtained, when ecosa is differentiated with respect to a?

134. A family has two cats. What is the probability that both the cats are female, if at least one of them is a female?

135. It is given that the sum and product of the zeros of a quadratic polynomial is -4 and 3, respectively. Which of the following options is the correct quadratic polynomial?

136. If q = p3 + tan p, then what is the correct value of d2q/dp2?

137. The function 11 = e'3m is a solution of which of the following differential equation?

138. Which of the following options is the correct particular solution of the given differential equation, for y = O and x = n/2 (where x is not equal to zero)? dy/dx + y cot x = 2x + x2 cot x

139. Which of the following options is the correct integral value of_[‘(x3J2 + 2ex « 1/x)dx?

140. Which of the given options is the simplest form of cot‘1(1/'t/(x2 — 1), if lxl>1?

141. Which of the given options is the simplest form of tan' (cos x/(1—sin x)) for —rr/2 < x < n/2?

142. What is the correct value of the area of a triangle having points P (2, 2, 2), Q (2, 3, 4), and R(3, 4, 2)?

143. Choose the correct answer from the options given below.

144. What is the correct value of the anti-derivative of 4x3 + 5x4?

145. What is the correct derivative of the function f(a) = sin(a2)?

146. Select True or False. A square matrix can be expressed as the sum of a symmetric and skew-symmetric matrix.

147. What is the correct solution of the differential equation dy/dx = -4xy2?

148. Which of the following options is the particular solution of the differential equation log (dy/dx) = 3x + 4y, for y = 0 when X: 0?

149. What is the correct answer, if cos' (sin t) is differentiated with respect to t?

150. Which of the following options is the correct output obtained on integrating (tan4 /x sec2 mix)/v‘x?

151. Consider three matrices P. Q. and R given in the Figure 1. Find the matrix S such that RS « P0 = O. and choose the correct answer from the Figure 2.

152. Container A contains 3 red and 4 black pens while container B contains 4 red and 6 black pens. If one pen is randomly drawn from one of the containers and is found to be red. then what is the probability that it was drawn from the container B?

153. What is the correct value of the expression, cos (sec'1 x + cosec'1x), if lxlzi?

154. sin' 12/13 + cos'1 4/5 + tan'1 63/16 =?

155. For a matrix A given in the Figure 1. find the correct value of A' from the Figure 2. if it exists.

156. Which of the following options is the correct value of the anti-derivative (F) of a function fdefined by f(x)

= 5x4 — 7. where F(0) = 4?

157. Choose the correct answer from the options given below.

158. Which of the following options is the correct value of the integral off‌(cosec x(cosec x + cot x)dx?

159. Which of the following options is the correct value of the integral off‌ian x dx?

160. The sum of the numbers appearing on two consecutive throws of a dice is 6. Which of the following options is a correct value of the conditional probability that the number 4 has appeared at least once?

161. Which of the following options given in the Figure 2 is the correct unit vector in the direction of a vector given in the Figure 1?

162. What is the correct value of dy/dx. if the value of x is p(ii) + sin 11)) and that of y is p(1- cos (1))?

163. If X and Y are two independent events, then which of the following options is the probability of the occurrence of at least one of X and Y?

164. What is the correct general solution of the differential equation (dy/dx) - y = cos x?

165. For two symmetric matrices X and Y of the same order, XY is also symmetric under which of the following conditions?

166. Which of the following statements is correct about the relation R =[(1,1), (2, 2), (3, 3), (1, 2), (2, 3)} in the set [1, 2, 3}?

167. What is the value of p(AIB), if P(A) = 479, pp) = 5/9, and p(AnB) = 2/92

168. Which of the following statements is correct about the function f: N -> N, given by f(x) = 2x?

169. Select True or False. If it is given that a — b = n, then what is the correct value of db/da?

170. Which of the following options is the correct general solution of the differential equation y dx « (x + 2y7')dy = 0?

171. Which of the following options is the correct general solution of the given differential equation? dy/dx = (1 + y2)/(1 + x2)

172. If b + sin b = cos a, then what is the correct value of db/da, considering that the value of y is not equal to (2n + 1) rr?

173. Which of the following statements is correct, if we have P = [1, 2, 3, 4] and O = {5, 7, 9}?

174. What is the correct value of d2y/dx2 + y, ify = P sin x + 0 cos x?

175. Which of the following options is the correct vector thatjoins the points A (1, 2. 2) and B {-2, -3, -2) directed from point A to B?

176. If b + sin b = cos a, then what is the correct value of db/da, considering that the value ofy is not equal to (2n +1) 11?

177. Which of the following options is the correct value of derivative of cot'1 x?

178. Which of the following options is the correct differential equation of the family of circles that touches the x-axis at origin?

179. What is the correct general solution of the given differential equation, dy/dx = (x + l)/(?. — y), where the value ofy is not equal to 2?

180. Which of the following options is the correct output obtained when sin (cos (a2)) is differentiated with respect to a?

181. If E and F are two events associated with the same random experiment, then which of the following statements implies that E and F are independent?

182. Which of the following options correctly states the distributive law of matrices?

183. Which of the following options correctly states a property of probability?

184. Which of the following statements is correct about the skew-symmetric matrix?

185. Which of the following options is the correct value of the derivative of tan (2a + 3)?

186. Select the correct unit vector from the Figure 2 which is in the direction of sum of two vectors m and n, given in the Figure 1.

187. By using elementary operation. f‌ind the correct inverse of matrix X given in the Figure 1. and choose the correct answer from the Figure 2.

188. Choose the correct answer from the options given below.

189. What is the correct value of tan-1 2x +tan-13x?

190. If p is a positive constant, then what is the correct output when p is differentiated w.r.t x?

191. What is the degree of the given differential equation? mn dzn/dm2 + m (dn/dm)2— ndn/dm = O

192. Which of the following options are zeros of the polynomial equation p(x) = 3x3 - 5x2 — 11x — 3?

193. Which of the following options is the correct value of the given expression? tan' '/2 + tan'12/11

194. 12 balls numbered from 1 to 12 are placed in a jar. The balls are mixed thoroughly and one of them is drawn randomly, what is the probability that an even numbered is dawn, if it known that the number on the drawn ball is greater than 3?

195. Which of the following options is the correct integral value of (x3 -1) dx/x2?

196. Time is primarily a __________ that can be measured in units.

197. The total number of subsets of {a, b, c} is _____.

198. The basis step to prove p(k) is that _____ is true.

199. The word and in probability implies that we use the ________ rule.

200. Transaction-processing systems _____.

201. The price of ice-cream increases, which will most likely _____ the demand for ice-cream cones.

202. $1.97 + ______ = $5.00*

203. The second statement is the _____ of the first.

204. 3 6 12 6 12 24 18 ___

205. Find the missing value to the nearest hundredth. sin ___ = 7/12

206. Find the missing value to the nearest hundredth. sin ___ = 8/15

207. In the formula =int(average(a1:a100)), which would occur first? ____

208. In act i, scene ii, claudiuss mention of fortinbras raises the issue of _____.

209. A scientist can use ecological modeling to attempt to explain and predict how __________ function.

210. Two widely used metrics of variation are the __________ and the _________.

211. _____ is the efficient and effective execution of specific tasks

212. _____ is the process of tracking system releases.

213. _____ means that a project can be implemented in an acceptable time frame.

214. _____ measure what an individual would miss by not having an information system or feature.

215. _____ reports contain special information not found in routine reports.

216. _____ results from overestimating one's own ability to influence actions and events.

217. _____ technology uses high-frequency radio waves to track physical objects.

218. ______ systems encompass all of an organization's touchpoints with its customers.

219. ________ is another, more common title given to the director of computer services.

220. ________ refers to the leasing of hardware with pre-installed operating systems.

221. A(n) ____ is responsible for setting up and managing large databases within an organization.

222. A(n) ________ is a formal description of a system's response to use and misuse scenarios.

223. A(n) _________ is a network of activities that generate value by transforming inputs into outputs.

224. The initial assessment and the feasibility study are part of the sdlc's ____ phase.

225. The last step in the database life cycle (dblc) is _____.

226. The most bold and risky implementation strategy is the _______________ approach.

227. The primary purpose of an erp system is ________.

228. The problems presented by workgroup information systems can usually be resolved by ________.

229. When using an unlisted code a(n) ____ must accompany the claim.

230. Composition is sometimes referred to as a(n) ________.

231. A promise or order is only considered negotiable if ________.

232. Michael porter proposed a now widely accepted competitive forces model that includes _____ forces.

233. The process of switching from an old information system to a replacement system is called _____.

234. The level of analysis to use when identifying user goals is the _______.

235. A(n) ____ chart can be used to display the qualitative risk analysis matrix.

236. Most national surveys draw a sample of around _____ people.

237. The interquartile range tells us how much space the _____ of the data occupy.

238. A(n) _____ resembles a verb and defines specific tasks that an object can perform.

239. The money the borrower pays for the use of the lender's money is called the ______.

240. For the isotope 71ga, z = ________ and a = ________.

241. The word pyelonephritis can be separated into these types of word parts ________.

242. _____ is by far the most difficult situation for a decision-maker.

243. ________ shape(s) how we evaluate information, not just which choice we select.

244. A _____ consists of horizontal bars, connected with arrows that indicate task dependencies.

245. A _____ is a message about life that can be understood in most cultures.

246. Can anybody solve this.... ?? +?? +?? __________

247. If you have two pennies, the probability of both coming up heads when flipped is _____.

248. The _____ is the extreme point on half of a hyperbola.

249. When evaluating proportions, we write the ratios in fractional form and then we ________________.

250. Strategic planning starts with a _____ that reflects a firms vision, purpose, and values.

251. Supporters of neutral locations for interviews believe that it ____.

252. The ________ reviews and approves plans for systems in all divisions.

253. Under conditions of _____, statistical analyses are useful.

254. Two specific types of ____ are e-commerce systems and point-of-sale (pos) systems.

255. Using a _____ strategy, knowledgeable users can be selected who then conduct sessions for others.

256. The _____ is a widely used method of visualizing and documenting software systems design.

257. The narrator is the __________ of the story. main character third person teller tone

258. If you accumulate _____ points in 12 months your license will be suspended for 30 days.

259. The definition of an angle uses the undefined term ________.

260. Julia y marcos____________la televisin anoche.

261. Information silos have __________ processes.