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 84.5 85.5 82.5 83.5 84.5 85.5 82.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 165x - y = 92x = 174 ∴ x = 87 and y = 78∴ x + y/2 = 165/2 = 82.5
Number System Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively? 61 75 65 67 61 75 65 67 ANSWER DOWNLOAD EXAMIANS APP
Number System What is the sum of all the composite numbers up to 20? 132 130 128 131 132 130 128 131 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 = 132
Number System Which one of the following numbers is exactly divisible by 11? 235641 245642 415624 315624 235641 245642 415624 315624 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (4 + 5 + 2) - (1 + 6 + 3) = 1, not divisible by 11.(2 + 6 + 4) - (4 + 5 + 2) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 3) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 4) = 0. So, 415624 is divisible by 11.
Number System (4 86%of 6500) ÷ 36 =? 977.5 677.5 777.5 877.5 977.5 677.5 777.5 877.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 877.5
Number System The product of two consecutive odd numbers is 4095 What is the greater number ? 65 61 74 69 65 61 74 69 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the two consecutive odd numbers be 2x - 1 and 2x + 1.(2x - 1) (2x - 1) = 4095= 4x² - 1 = 4095= 4x² = 4096= x² = 1024∴ x = 32∴ The numbers are 63 and 65.Greater number = 65
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