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 44 40 88 80 44 40 88 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 How many numbers between 300 and 800 can be by using digits 2, 4, 5, 6 and 0 ? 36 52 56 48 36 52 56 48 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∴ Reqd . numbers = 3 x 4P2 = 3 x 12 = 36
Number System The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ? 74 73 76 75 74 73 76 75 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4= 190= 5x + 10 = 190= 5x = 190 - 10 = 180= x = 180/5 = 36The largest number = 36 + 4 = 40∴ Required sum = 36 + 40 = 76
Number System 384×12×2=? 9216 7487 8465 6123 9216 7487 8465 6123 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 9216
Number System The cost of 87 pens and 29 pencils is `783. What is the cost of 90 pens and 30 pencils ? Rs. 820 Rs. 810 Rs. 800 Rs. 830 Rs. 820 Rs. 810 Rs. 800 Rs. 830 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the price of a pen be 'x' and that of pencil be 'y' Then 87x + 29y = 783Multiplying eqn (i) by 30/29 we get (87x) x 30/29 + (29y) 30/29 = 783 x 30/29∴ 90x + 30y = 810
EXAMIANS