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 85.5 84.5 83.5 82.5 85.5 84.5 83.5 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 666 / 6 / 3 = ? 333 84 37 111 333 84 37 111 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 666 * 1/6 * 1/3 = 37
Number System What is the least number that should be added to 5200 to make it a perfect square ? 225 129 275 288 225 129 275 288 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.
Number System If R2 = S3 = K, where R, S and K are integers. Find the smallest positive integral value of K. (Greater than 1) 75 54 88 64 75 54 88 64 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 64
Number System 4500 * ? = 3375 3/4 1/4 2/5 3/5 3/4 1/4 2/5 3/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 4500 * x = 3375= x = 3375/4500 = 3/4
Number System The difference between a two-digit number and the number obtained by interchanging its two digits is 45. The sum of the digit of the number is 9. What is the product of the two digits of the number? 15 12 13 14 15 12 13 14 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.Therefore, x + y = 9 ..................(i)10x + y - (10y + x) = 4510x + y - 10y - x = 45Therefore, x - y = 5 ..................(ii)From (i) and (ii), x = 7, y = 2Number = 72Therefore, = x x y = 7 x 2 = 14
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