Number System What should come in place of question mark (?)? 8 : 1 1 : : 72: 79 99 89 109 79 99 89 109 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let ? = xTherefore 8 : 11 : 72 : xTherefore x = (11 x 72) / 8 = 99
Number System Sum of square of first number and cube of second number together is 568. Also square of the second number is 15 less than square of 8. What is the value of three-fifth of the first number ? 6 7 9 8 6 7 9 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the first number be x and the second number be y.∴ y² = 82 - 15 = 64 - 15 = 49∴ y = 7∴ x² + 73 = 568= x² + 343 = 568= x² + 568 - 343 = 225∴ x = √225 = 15∴ 15 x 3/5 = 9
Number System If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is: 80 40 88 44 80 40 88 44 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404 Now, 2xy = (x + y)2 - (x2 + y2) 2xy= 222 - 404 = 484 - 404 = 80xy = 40
Number System If the difference between the squares of two consecutive numbers is 47, what is the smaller number ? 26 23 24 25 26 23 24 25 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 (3² x 4² x 5) ÷ 36 = (?)² - 80 16 12 10 14 16 12 10 14 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 3² x 4² x 5/36 + 80= 20 + 80 = 100∴ ? = √100 = 10
Number System 74698 + 365 + 85213 + 95 = ? 160371 160351 160361 160341 160371 160351 160361 160341 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 74698 + 365 + 85213 + 95 = 160371
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