Aptitude Tests 4 Me

Basic Numeracy/Quantitative Aptitude

Detailed Solution

106. d: Given the equation
5(-3x - 2) - (x - 3) = -4(4x + 5) + 13
Multiply factors.
-15x - 10 - x + 3 = -16x - 20 +13
Group like terms.
-16x - 7 = -16x - 7
Add 16x + 7 to both sides and write the equation as follows
0 = 0
The above statement is true for all values of x and therefore all real numbers are solutions to the given equation.

107. c: Given the algebraic expression
2(a -3) + 4b - 2(a -b -3) + 5
Multiply factors.
= 2a - 6 + 4b -2a + 2b + 6 + 5
Group like terms.
= 6b + 5

108. a: Given the expression
|x - 2| - 4|-6|
If x < ;2 then x - 2 < 2 and if x - 2 < 2 the |x - 2| = -(x - 2).
Substitute |x - 2| by -(x - 2) and |-6| by 6 .
|x - 2| - 4|-6| = -(x - 2) -4(6) = -x -22

109. d: The distance d between points (-4 , -5) and (-1 , -1) is given by
d = sqrt[ (-1 - -4) 2 + (-1 - -5) 2 ]
Simplify.
d = sqrt(9 + 16) = 5

110. c: We first calculate the slope m
m = (1 - 3) / (4 - 2) = -1
We now use the point-slope form of a line to find the equation of the line
y - y1 = m(x - x1) , where m is the slope and (x1,y1) is any of the two points given above.
Substitute m by its value -1 and x1 and y1 by 2 and 3 respectively, we obtain the equation of the line.
y - 3 = -1(x - 2)
in slope intercept form the equation is written as
y = -x + 5

111. b:

There will be a 50% chance (2 out of 4) of having a carrier (Aa) child. Similarly, each time there will be a 25% chance of having an offspring who will inherit the disease (aa) and die.

112.

 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271

Passage Reading Verbal Logic Non Verbal Logic Numerical Logic Data Interpretation Reasoning Analytical Ability Basic Numeracy About Us Contact Privacy Policy Major Tests FAQ