Number System A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits? 12 8 60 7 12 8 60 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x * 3/5 * 1/5 = 9x = 75 => 7 + 5 = 12
Number System If (17)3 is subtracted from the square of a number, the answer so obtained is 2143. What is the number ? 84 81 83 82 84 81 83 82 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x² - (17*17*17) = 2143or x² = 2143 + 4913 = 7056∴ x = 84
Number System The difference between a two-digit number and the number obtained by interchange the two digits of the number is 27. If the sum of the two digits of the number is 13, what is their product ? 40 38 39 37 40 38 39 37 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40
Number System If R2 = S3 = K, where R, S and K are integers. Find the smallest positive integral value of K. (Greater than 1) 54 75 64 88 54 75 64 88 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 64
Number System If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is: 28 160 12 180 28 160 12 180 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, x + y = 20 and x - y = 8x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.
Number System Three numbers are in ratio of 3: 4 :5. If the sum of first & third numbers is more than second number by 52, which will be largest number? 23 65 34 78 23 65 34 78 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 65
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