Number System Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number 15 5 4 7.5 15 5 4 7.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.7x -15 = 2x + 10 => 5x = 25 => x = 5
Number System The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ? 73 75 76 74 73 75 76 74 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 The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 5/4 3/5 3/10 4/5 5/4 3/5 3/10 4/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5
Number System The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers? 29 70 Cannot be determined 92 29 70 Cannot be determined 92 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x and units digit by y.Then,(10x + y) - (10y + x) = 639(x - y) = 63x - y = 7Thus, none of the numbers can be determined.
Number System The average of five consecutive even numbers A, B, C, D and E is 42. What is the product of B and D ? 1760 4589 2476 3289 1760 4589 2476 3289 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP A + B + C + D + E/5 = 42∴ C = 42, ∴ B = 40, ∴ D = 44∴ B x D = 40 x 44 = 1760
Number System 1051.64 - 159.42 - 96.84 + 162.37 - 940.26 + 504 = ? 511.49 491.49 501.49 521.49 511.49 491.49 501.49 521.49 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 1718.01 - 1196.52 = 521.49