Number System The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers? 252 296 344 388 252 296 344 388 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 0.333 .... × 0.444 .... is equal to 0.121212 .... 0.777 .... 0.148148148 .... 1.333 .... 0.121212 .... 0.777 .... 0.148148148 .... 1.333 .... ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.148148148 ....
Number System The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers? 12/35 7/32 1/35 35/8 12/35 7/32 1/35 35/8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.
Number System The sum of the numbers is 264. If the first number be twice the second and third number be one-third of the first, then the second number is: 72 48 54 84 72 48 54 84 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the second number be x. Then, first number = 2x and third number = 2x/3.2x + x + 2x/3 = 26411x/3 = 264x = 72
Number System A bag contains eighteen 25-paise coins, seventeen 50-paise coins, twentytwo one-rupee coins, nine 2-rupee coins and three 5-rupee coins. What is the total amount in the bag (Ans in rupees) ? Rs. 79 Rs. 62 Rs. 74 Rs. 68 Rs. 79 Rs. 62 Rs. 74 Rs. 68 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total = 18/7 + 17/2 + 22 + 9 x 2 + 3 x 5 = 4.5 + 8.5 + 22 + 18 + 15 = Rs 68
Number System The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ? 83.5 82.5 84.5 85.5 83.5 82.5 84.5 85.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 165x - y = 92x = 174 ∴ x = 87 and y = 78∴ x + y/2 = 165/2 = 82.5
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