Number System On dividing a number by 68, we get 269 as quotient and 0 as remainder. On dividing the same number by 67, what will be the remainder? 1 0 3 2 1 0 3 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number = 269 * 68 + 0 = 1829267) 18292 (273 18291 -------- 1Required number = 1.
Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 289 289/290 1/289 290/289 289 289/290 1/289 290/289 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 20% of the total number of students in a school play football. How many students do not play football if the total number of students in the school is 7600 ? 5800 5976 6000 6080 5800 5976 6000 6080 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 20% of 7600 = 1520Therefore, students who do not play football = 7600 - 1520 = 6080
Number System Two third of three- fifth of one fourth of a number is 24, what is 30% of that number? 69 90 72 42 69 90 72 42 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x * 2/3 * 3/5 * 1/4 = 24x = 240240 * 30/100 = 72
Number System In a two-digit number, the digit in unit's place is two more than three times the digit in ten's place. If the sum of the two digits is 10, what is the number ? 28 18 22 24 28 18 22 24 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.∴ y = 3x + 2 .......(i)And, x + y = 10 ......(ii)From (i) and (ii), x = 2, y = 8∴ Number = 28
Number System If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is: 28 12 180 160 28 12 180 160 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.