Number System Find the average of the following set of scores 450, 1050, 12, 390, 143, 286, 550, 999 480 495 485 490 480 495 485 490 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required average score = (450 + 1050 + 12 + 390 + 143 + 286 + 550 + 999) / 8 = 3880 / 8 = 485
Number System The sum of 8 consecutive odd numbers is 656. Also average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number ? 160 163 167 158 160 163 167 158 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Average of 8 consecutive odd numbers = 656/8 = 82∴ Fourth number = 82 - 1 = 81∴ First numbers = 75Average of 4 even numbers = 87∴ Second even number = 87 - 1 = 86Second largest even number = 88∴ Required sum = 75 + 88 = 163
Number System If A + B = 30 and AB = 94, What is the value of A² + B² ? 920 625 824 712 920 625 824 712 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (A + B)² = (30)² = 900A² + B² + 2AB = 900Therefore, A² + B² = 900 - 2 x 94 = 900 - 188 = 712
Number System If (74)² is added to the square of a number the answer so obtained is 7780. What is the number ? 47 48 50 49 47 48 50 49 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.or, x² + (74)² = 7780or, x² = 7780 - 5476 = 2304∴ x = 48
Number System 4/6 of 6/5 of 5/7 of a number is 96. Find the number. 170 168 164 162 170 168 164 162 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 4/6 x 6/5 x 5/7 = 96∴ x = 96 x 6 x 5 x 7/4 x 6 x 5 = 168
Number System One-eighth of a number is 76. What will be 54% of the number ? 328.32 318.32 321.32 332.32 328.32 318.32 321.32 332.32 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be x Therefore, 1/8 of x = 76Therefore, x = 60854% of 608 = 608 x 54/100 = 328.32
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