Number System The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ? 85.5 82.5 83.5 84.5 85.5 82.5 83.5 84.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 165x - y = 92x = 174 ∴ x = 87 and y = 78∴ x + y/2 = 165/2 = 82.5
Number System The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers? 252 344 296 388 252 344 296 388 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the four numbers be x, x + 2, x + 4 and x + 6.=> x + x + 2 + x + 4 + x + 6 = 36=> 4x + 12 = 36 => x = 6The numbers are 6, 8, 10 and 12.Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.
Number System [(18.6 x 4.5) + (7.8 ÷ 0.24)] ÷ 3.2 = ? 46.3125 25.3125 26.3125 36.3125 46.3125 25.3125 26.3125 36.3125 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 83.7 + 32.5/3.2 = 116.2/3.2 = 36.3125
Number System √343 = ? 18 20 21 19 18 20 21 19 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = √343 = 18
Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 124 112 116 120 124 112 116 120 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a + b = 16 Therefore, (a+b)² = (16)² = 256 a² + b² + 2ab = 256Therefore, a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120
Number System Sum of two consecutive even terms lacks by 98 from their product. Find the sum of these number 32 None 18 24 32 None 18 24 ANSWER DOWNLOAD EXAMIANS APP
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