Number System What is the missing number in this series? 8 2 14 6 11 ? 14 6 18 12 3 7 2 9 3 7 2 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 9
Number System If the difference between the squares of two consecutive numbers is 47, what is the smaller number ? 25 24 23 26 25 24 23 26 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23
Number System Twenty times a positive integer is less than its square by 96. What is the integer? 24 Cannot be determined 20 30 24 Cannot be determined 20 30 ANSWER DOWNLOAD EXAMIANS APP
Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 116 120 112 124 116 120 112 124 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 The square root of 3 + “5 is : “(5/2) + “(1/2) “3 /2 + 1/”2 “3 /2 - 1/”2 “5 /2 - 1/”2 “(5/2) + “(1/2) “3 /2 + 1/”2 “3 /2 - 1/”2 “5 /2 - 1/”2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP “(5/2) + “(1/2)
Number System (√6 + 1)² = ? + 2√6 5 7 6 8 5 7 6 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (√6 + 1)² - 2√6= (√6)² + 2 x √6 + 1 + 1² - 2√6= 6 + 2√6 + 1 - 2√6 = 6 + 1 = 7
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