Number System What should come in place of (?) in the following series ? 10, 19, 30, 43, 58, ? 78 76 77 75 78 76 77 75 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The series is: +9, +11, +13, +15, +17
Number System When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number? 103 101 97 99 103 101 97 99 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x2 - 732 = 5280 x2 = 5280 + (70+3)2 = 5280 + 4900 + 420 + 9 = 10609= 10000 + 2(100)(3) + 32 = (100 + 3)2x = 100 + 3 = 103.
Number System When (21)² is subtracted from the square of a number the answer obtained is 1584. What is the number ? 45 35 55 65 45 35 55 65 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.According to the question,x² - (21)² = 1584= x² - 441 = 1584 = x² = 1584 + 441 = 2025∴ x = √2025 = 45
Number System What is the least number that should be added to 5200 to make it a perfect square ? 129 275 288 225 129 275 288 225 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP We sec (73)² = 5329 and (72)² = 5184ie 5329 > 5200 > 5184So 129 should be added to make is perfect square.
Number System If 5/7 of a number is 145, what is 180% of that number ? 375.4 355.4 345.4 365.4 375.4 355.4 345.4 365.4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 5/7 = 145∴ x = 145 x 7/5 = 203Now, 203 x 180/100 = 365.4
Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 120 116 124 112 120 116 124 112 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
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