Number System Twenty times a positive integer is less than its square by 96. What is the integer? 30 20 Cannot be determined 24 30 20 Cannot be determined 24 ANSWER DOWNLOAD EXAMIANS APP
Number System If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is: 88 40 80 44 88 40 80 44 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404 Now, 2xy = (x + y)2 - (x2 + y2) 2xy= 222 - 404 = 484 - 404 = 80xy = 40
Number System A canteen requires 17 dozen of eggs per week. How many eggs will it require from January 1 to February 11 ? 820 1224 987 525 820 1224 987 525 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of days from Jan 1 to Feb 11th= 31 + 11 = 42 days = 6 weeks∴ Total eggs =17 x 12 x 6 = 1224
Number System The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ? 76 75 74 73 76 75 74 73 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 sum of the digits of a two-digit number is 12, and the difference between the number and the number obtained by interchanging the two digits of the number is 18. Find the number. 75 50 25 12.5 75 50 25 12.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.∴ x + y = 12 ...........(i)10x + y - (10x + x) = 18or 10x + y - 10y - x = 18or 9x - 9y = 18∴ x - y = 2From (i) and (ii), x = 7, y = 5∴ Number = 75
Number System If 2^(2x-1) = 8^(3-x), then the value of x is: 9 5 2 6 9 5 2 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2
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