Number System 5358 * 51 = ? 273268 273258 273348 273358 273268 273258 273348 273358 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 5358 * 51 = 5358 * (50 + 1) = 5358 * 50 + 5358 * 1= 267900 + 5358 = 273258
Number System The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? 11 7 3 5 11 7 3 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7
Number System If 5/7 of a number is 145, what is 180% of that number ? 375.4 355.4 345.4 365.4 375.4 355.4 345.4 365.4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 5/7 = 145∴ x = 145 x 7/5 = 203Now, 203 x 180/100 = 365.4
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 ? 6363 6353 6383 6373 6363 6353 6383 6373 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 The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 5/4 3/5 4/5 3/10 5/4 3/5 4/5 3/10 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 4550 ÷ 25% of ? = 130 135 140 130 125 135 140 130 125 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 4550 ÷ ? x 25/100 = 130= 4550 ÷ ?/4 = 130= 4550 x 4/? = 130= ? x 130 = 4550 x 4= ? = 4550 x 4/130 = 140