Number System The sum of two numbers is 25 and their difference is 13. Find their product. 315 325 104 114 315 325 104 114 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then x + y = 25 and x - y = 13.x = 19; y = 6xy = 19 * 6 = 114
Number System What is a two-digit number if the ratio of the digit at ten's place to the digit at unit's place is 4 : 3 ? (I) The sum of the digits of a two-digit number is 14. (II) The digit at unit place is 75% o If the data in statement (I) alone is sufficient to answer the question while that in statement (II) alone is not sufficient. If the data either in statement (I) alone or in statement (II) alone is sufficient to answer the question. If the data in statement (II) alone is sufficient to answer the question, while that in statement (I) alone is not sufficient. If the data even in both statements (I) and (II) together is not sufficient to answer the question. If the data in statement (I) alone is sufficient to answer the question while that in statement (II) alone is not sufficient. If the data either in statement (I) alone or in statement (II) alone is sufficient to answer the question. If the data in statement (II) alone is sufficient to answer the question, while that in statement (I) alone is not sufficient. If the data even in both statements (I) and (II) together is not sufficient to answer the question. ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y∴ 3x = 4y ......(1)From (I),x + y = 14 .....(2)Solving equations (1) and (2),x = 8, y = 6∴ Number = 86 From (II)y = 75/100 x x ∴ 3x = 4y.Which is the same as eqn (1)
Number System A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is: 81 18 24 42 81 18 24 42 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's and unit's digit be x and 8/x respectively. Then, (10x + 8/x) + 18 = 10 * 8/x + x 9x2 + 18x - 72 = 0 x2 + 2x - 8 = 0 (x + 4)(x - 2) = 0 x = 2 So, ten's digit = 2 and unit's digit = 4. Hence, required number = 24.
Number System If a number is multiplied by. three-fourth of itself, the value thus obtained is 10800. What is that number ? 180 260 120 60 180 260 120 60 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 2/11 of 3/7 of 8/13 of 12012 = ? 449 576 321 241 449 576 321 241 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 2 x 3 x 8 x 12012/11 x 7 x 13 = 576
Number System The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, then what will be the original number? 69 39 49 59 69 39 49 59 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 39