Number System How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together? 8 11 10 9 8 11 10 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (700 – 300)/42 = 9 22/42 => 9 Numbers
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 71 74 79 83 71 74 79 83 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 In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient? 12 20 13 0 12 20 13 0 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number = (12 * 35) = 420Correct quotient = 420/21 = 20
Number System In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is: 46 24 26 42 46 24 26 42 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x. Then, unit's digit = x + 2. Number = 10x + (x + 2) = 11x + 2 Sum of digits = x + (x + 2) = 2x + 2 (11x + 2)(2x + 2) = 144 2x2 + 26x - 140 = 0 (x - 2)(11x + 35) = 0 x = 2Hence, required number = 11x + 2 = 24.
Number System If the three fourth of a number is subtracted from the number; the value so, obtained is 163. What is that number ? 692 678 689 652 692 678 689 652 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number x (1 - 3/4) = 163∴ Number = 163 x 4 = 652
Number System When (21)² is subtracted from the square of a number the answer obtained is 1584. What is the number ? 55 35 65 45 55 35 65 45 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
EXAMIANS