Number System If R2 = S3 = K, where R, S and K are integers. Find the smallest positive integral value of K. (Greater than 1) 88 75 64 54 88 75 64 54 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 64
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: 18 81 24 42 18 81 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 A bag contains eighteen 25-paise coins, seventeen 50-paise coins, twentytwo one-rupee coins, nine 2-rupee coins and three 5-rupee coins. What is the total amount in the bag (Ans in rupees) ? Rs. 79 Rs. 74 Rs. 62 Rs. 68 Rs. 79 Rs. 74 Rs. 62 Rs. 68 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total = 18/7 + 17/2 + 22 + 9 x 2 + 3 x 5 = 4.5 + 8.5 + 22 + 18 + 15 = Rs 68
Number System The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root? 8 27 32 None of these 8 27 32 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,x + 1/x = 34/8 8x2 - 34x + 8 = 0 4x2 - 17x + 4 = 0 (4x - 1)(x - 4) = 0 x = 4required number = 4 * √4 = 4 * 2 = 8.
Number System If (17)3 is subtracted from the square of a number, the answer so obtained is 2143. What is the number ? 83 84 81 82 83 84 81 82 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x² - (17*17*17) = 2143or x² = 2143 + 4913 = 7056∴ x = 84
Number System 732.96 + 405.38 - 604.08 - 105.44 + 222.86 = ? 621.68 631.68 641.68 651.68 621.68 631.68 641.68 651.68 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 1361.20 - 709.52 = 651.68
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