Number System Sum of the digits number is 8 and their product is 12. Find the difference between the digits? 4 6 None 2 4 6 None 2 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 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 If (35)² is added to the square of a number the answer so obtained is 1394. What is the number ? 13 15 11 17 13 15 11 17 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x Therefore, x² + (35)² = 1394Therefore, x² = 1394 - (35)² = 1394 - 1225 = 169Therefore, x = √169 = 13
Number System In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A? 2/5 Data inadequate 1/25 1/5 2/5 Data inadequate 1/25 1/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP A = 2B => B = 1/2 A, so, AB = 2/25 1/2 A2 = 2/25A2 = 4/25 A = 2/5
Number System ?125÷5x ?=6265 1253 153 124 1452 1253 153 124 1452 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1253
Number System If one-third of one fourth of a number is 15, then three-tenth of that number is: 45 35 25 54 45 35 25 54 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,1/3 of 1/4 of x = 15x = 15 * 12 = 180So, required number = (3/10 * 180) = 54.