Number System If the fractions8/5,7/2,9/5,5/4,4/5 are arranged in descending order of their values, which one will be fourth? 1/3 5/4 7/9 11/13 1/3 5/4 7/9 11/13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 5/4
Number System If 2^(2x-1) = 8^(3-x), then the value of x is: 5 2 9 6 5 2 9 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2
Number System The difference between a two-digit number and the number obtained by interchanging its two digits is 45. The sum of the digit of the number is 9. What is the product of the two digits of the number? 15 12 14 13 15 12 14 13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.Therefore, x + y = 9 ..................(i)10x + y - (10y + x) = 4510x + y - 10y - x = 45Therefore, x - y = 5 ..................(ii)From (i) and (ii), x = 7, y = 2Number = 72Therefore, = x x y = 7 x 2 = 14
Number System A, B, C, D and E are consecutive even numbers respectively. The average of 5 numbers is 82. What is the product of C and E ? 6383 6373 6353 6363 6383 6373 6353 6363 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4 = 5 x 82= 5x + 10 = 410 = 5x = 400= x = 400/5 = 80 ∴ A = 80C = 82and E = 84= C x E = 82 x 84 = 6383
Number System If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is: 12 28 180 160 12 28 180 160 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.
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 79 83 71 74 79 83 71 74 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83
EXAMIANS