Number System The difference between two integers is 5. Their product is 500. Find the numbers. 30, 25 21, 26 20, 25 15, 20 30, 25 21, 26 20, 25 15, 20 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the integers be x and (x + 5). Then, x(x + 5) = 500 x2 + 5x - 500 = 0 (x + 25)(x - 20) = 0 x = 20So, the numbers are 20 and 25.
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.85 Rs.80 Rs.90 Rs.100 Rs.85 Rs.80 Rs.90 Rs.100 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 9/12 = 3/4 * 900 = 675 650 ------------- 251/4 -------- 251 --------- ? => Rs.100
Number System On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder? 6 5 4 7 6 5 4 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let x be the number and y be the quotient. Then, x = 357 * y + 39= (17 * 21 * y) + (17 * 2) + 5= 17 * (21y + 2) + 5.Required remainder = 5.
Number System The average of 7 consecutive even numbers A, B, C, D, E, F and G is 36. What is the product of ' C and 'E' ? 1292 1468 1168 1327 1292 1468 1168 1327 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP A + B + C + D + E + F + G/7 = 36Therefore, D = 36Therefore, C = 34, E = 38Therefore, Product = 34 x 38 = 1292
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 79 71 83 74 79 71 83 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
Number System If 2^(2x-1) = 8^(3-x), then the value of x is: 2 5 6 9 2 5 6 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2
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