Number System The sum of two numbers is 25 and their difference is 13. Find their product. 315 114 325 104 315 114 325 104 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then x + y = 25 and x - y = 13.x = 19; y = 6xy = 19 * 6 = 114
Number System When the square of a number is substracted from (68)², the answer so obtained is 2508. What is the number ? 45 46 47 44 45 46 47 44 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (68)² - x² = 2508Therefore, x² = 4624 = 2508Therefore, x = root of 2116 = 46
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 ? 2476 4589 1760 3289 2476 4589 1760 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 The square root of 3 + “5 is : “3 /2 + 1/”2 “3 /2 - 1/”2 “(5/2) + “(1/2) “5 /2 - 1/”2 “3 /2 + 1/”2 “3 /2 - 1/”2 “(5/2) + “(1/2) “5 /2 - 1/”2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP “(5/2) + “(1/2)
Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 112 120 124 116 112 120 124 116 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a + b = 16 Therefore, (a+b)² = (16)² = 256 a² + b² + 2ab = 256Therefore, a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120
Number System The difference between 68% of a number and 35% of the same number is 1216. What is 28% of the number ? 1031.75 1027.75 1043.75 1037.75 1031.75 1027.75 1043.75 1037.75 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be xTherefore 68x / 100 - 35x / 100 = 1216 Therefore x = 1216 x 100 / 33Therefore 28% of x = 28x / 100 = 1216 x 100 / 33 x 28 / 100= 1216 x 100 x 28 / 33 x 1/100 = 1031.75
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