Number System If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is: 160 28 12 180 160 28 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 If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is: 80 40 88 44 80 40 88 44 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404 Now, 2xy = (x + y)2 - (x2 + y2) 2xy= 222 - 404 = 484 - 404 = 80xy = 40
Number System The sum of three consecutive numbers is 87. The greatest among these three number is: 29 28 30 26 29 28 30 26 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x, x + 1 and x + 2 Then,x + (x + 1) + (x + 2) = 873x = 84x = 28Greatest number, (x + 2) = 30.
Number System Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is: 11 9 15 13 11 9 15 13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the three integers be x, x + 2 and x+ 4.Then,3x = 2(x + 4) + 3x = 11Third integer = x + 4 = 15.
Number System The sum of three consecutive multiples of 3 is 72. What is the largest number? 27 36 24 21 27 36 24 21 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.
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