Number System How many numbers up to 100 and 300 are divisible by 11? 22 18 21 20 22 18 21 20 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (300 – 100)/11 = 200/11 = 18 2/1118 Numbers
Number System If the numerator of a fraction is decreased by 12.5% and the denominator is increased by 180% the resultant fraction is 1/2. What is the original fraction ? 3/5 8/5 7/5 1/5 3/5 8/5 7/5 1/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the original fraction be x/y.∴ x x 87.5/100/y x 280/100 = 1/2or 87.5x/280y = 1/2∴ 175x = 280y∴ x/y = 280/175 = 8/5
Number System The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ? 76 75 73 74 76 75 73 74 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4= 190= 5x + 10 = 190= 5x = 190 - 10 = 180= x = 180/5 = 36The largest number = 36 + 4 = 40∴ Required sum = 36 + 40 = 76
Number System A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by: 3 9 11 5 3 9 11 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x and unit's digit be y. Then, number 10x + y.Number obtained by interchanging the digits = 10y + x.(10x + y) + (10y + x) = 11(x + y)which is divisible by 11.
Number System Sum of the digits number is 8 and their product is 12. Find the difference between the digits? 2 None 4 6 2 None 4 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4
Number System What is the sum of all the numbers between 300 and 1000 which are divisible by 179? 2517 2506 2527 2607 2517 2506 2527 2607 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 358/179 ….. 895/179179(2 + 3 + 4 + 5) => 2506