Number System If a number is multiplied by. three-fourth of itself, the value thus obtained is 10800. What is that number ? 120 180 60 260 120 180 60 260 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 3x/4 = 10800= x² = 10800 x 4/3 = 14400∴ x = √14400 = 120
Number System If 70% of an equal to 40% of b, then ratio between a and b is? 4: 7 7: 11 None 7: 4 4: 7 7: 11 None 7: 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 70 a = 40 ba: b = 4: 7
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: 40 88 80 44 40 88 80 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 The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number ? 14 None of these 36 54 14 None of these 36 54 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10 x + yWhere x > yAccording to the question,x + y = 15 and x - y = 3Solving both the equations,x = 9, y = 6∴ x x y = 9 x 6 = 54
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 83 71 79 74 83 71 79 74 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83
Number System (√6 + 1)² = ? + 2√6 7 8 6 5 7 8 6 5 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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