Number System 84 * 29 + 365 = ? - 2071 2436 - 2801 2801 - 2071 2436 - 2801 2801 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP - 84 * (30 - 1) + 365= - (84 * 30) + 84 + 365= - 2520 + 449 = - 2071
Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 290/289 1/289 289/290 289 290/289 1/289 289/290 289 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 The difference between a two-digit number and the number obtained by interchange the two digits of the number is 27. If the sum of the two digits of the number is 13, what is their product ? 39 37 38 40 39 37 38 40 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40
Number System In how many different ways can the letters of the word 'DETERMINE' be arranged ? 62480 63480 60480 61480 62480 63480 60480 61480 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. of arrangements = 9! / 3! Because, E comes 3 times = 60480
Number System The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference of the two digits of the number ? 1 4 3 2 1 4 3 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (10x + y) - (10y + x) = 36,9(x - y) = 36/9 = 4
Number System 17580 x 1.8 - 13720 x 2.1 = ? x 2.4 1180 1160 1140 1120 1180 1160 1140 1120 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2.4 x ? = 31644 - 28812 = 2832∴ ? = 2832/2.4= 1180
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