Number System The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers? 344 388 252 296 344 388 252 296 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the four numbers be x, x + 2, x + 4 and x + 6.=> x + x + 2 + x + 4 + x + 6 = 36=> 4x + 12 = 36 => x = 6The numbers are 6, 8, 10 and 12.Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.
Number System What least number should be added to 8602 to make it a perfect square ? 41 51 47 36 41 51 47 36 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP So, (93)² = 8649So, the required number to be added to make a perfect square = 8649 - 8602 = 47
Number System The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ? 76 73 74 75 76 73 74 75 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 A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after one year service. He served only for 9 months and received uniform and Rs.650, find the price of the uniform? Rs.100 Rs.85 Rs.90 Rs.80 Rs.100 Rs.85 Rs.90 Rs.80 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 9/12 = 3/4 * 900 = 675 650 ------------- 251/4 -------- 251 --------- ? => Rs.100
Number System If 2^(2x-1) = 8^(3-x), then the value of x is: 9 6 2 5 9 6 2 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2
Number System Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers? 10, 5 11, 6 12, 9 12, 7 10, 5 11, 6 12, 9 12, 7 ANSWER DOWNLOAD EXAMIANS APP