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: 44 88 80 40 44 88 80 40 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 difference between 78% of a number and 59% of the same number is 323. What is 62% of that number ? Rs. 1054 Rs. 986 Rs. 945 Rs. 926 Rs. 1054 Rs. 986 Rs. 945 Rs. 926 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.78% of x - 59% of x = 323= 78x - 59x/100 = 323= 19x/100 = 323∴ x = 323 x 100/19 = 1700= 62% of 1700 = 1700 x 62/100 = 1054
Number System In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is: 46 26 24 42 46 26 24 42 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x. Then, unit's digit = x + 2. Number = 10x + (x + 2) = 11x + 2 Sum of digits = x + (x + 2) = 2x + 2 (11x + 2)(2x + 2) = 144 2x2 + 26x - 140 = 0 (x - 2)(11x + 35) = 0 x = 2Hence, required number = 11x + 2 = 24.
Number System On dividing number by 5, we get 3 as remainder. What will be the remainder when the square of this number is divided by 5? 4 1 2 0 4 1 2 0 ANSWER DOWNLOAD EXAMIANS APP
Number System Which choice provides the answer in the following : If 2 * 3 = 36, 5 * 4 = 400, 6 * 2 = 144, 3 * 3 = 81; then, 5 * 5 = ? 625 425 325 525 625 425 325 525 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 625
Number System The difference between 72% of a number and 49% of the same number is 575. What is 9% of that number ? 275 225 245 295 275 225 245 295 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be x.Therefore, 72% of x - 49% of x = 575Therefore, (72 - 49)% of x = 575Therefore, 9% of x = 575/23 x 9 = 225