Number System Find the greatest number which leaves the same remainder when it divides 25, 57 and 105. 12 8 16 18 12 8 16 18 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 105 - 57 = 4857 - 25 = 32105 - 25 = 80The H.C.F of 32, 48 and 80 is 16.
Number System The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ? 82.5 83.5 84.5 85.5 82.5 83.5 84.5 85.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 165x - y = 92x = 174 ∴ x = 87 and y = 78∴ x + y/2 = 165/2 = 82.5
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 ? 54 14 36 None of these 54 14 36 None of these 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 36% of 850+? % of 592 = 750 12.5 25 75 50 12.5 25 75 50 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 75
Number System Find the least number which when divided by 35 and 11 leaves a remainder of 1 in each case. 386 384 388 391 386 384 388 391 ANSWER DOWNLOAD EXAMIANS APP
Number System What is the least number that should be added to 5200 to make it a perfect square ? 225 275 288 129 225 275 288 129 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.