Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 289 1/289 290/289 289/290 289 1/289 290/289 289/290 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289
Number System The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? 7 3 11 5 7 3 11 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7
Number System √2304 x √? = 2832 3681 3581 3481 3381 3681 3581 3481 3381 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP √2304 x √? = 2832= 48 x √? = 2832= √? = 2832/48 = 59∴? = 59 x 59 = 3481
Number System The sum of three consecutive multiples of 3 is 72. What is the largest number? 21 24 36 27 21 24 36 27 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be 3x, 3x + 3 and 3x + 6.Then,3x + (3x + 3) + (3x + 6) = 729x = 63x = 7Largest number = 3x + 6 = 27.
Number System 35 + 15 * 1.5 = ? 57.5 5.25 75 51.5 57.5 5.25 75 51.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Exp. = 35 + 15 * 3/2 = 35 + 45/2 = 35 + 22.5 = 57.5
Number System 84 * 29 + 365 = ? 2801 - 2071 2436 - 2801 2801 - 2071 2436 - 2801 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP - 84 * (30 - 1) + 365= - (84 * 30) + 84 + 365= - 2520 + 449 = - 2071
EXAMIANS