Number System (√6 + 1)² = ? + 2√6 8 7 5 6 8 7 5 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (√6 + 1)² - 2√6= (√6)² + 2 x √6 + 1 + 1² - 2√6= 6 + 2√6 + 1 - 2√6 = 6 + 1 = 7
Number System What is the missing number in this series? 8 2 14 6 11 ? 14 6 18 12 3 7 2 9 3 7 2 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 9
Number System 7.8% of 12.5 + 2.5% of 161 = ? 2 12 5 9 2 12 5 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 7.8 x 12.5/100 + 2.5 x 161/100= 0.975 + 4.025= 5
Number System The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? 5 11 7 3 5 11 7 3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7
Number System The average of 7 numbers is 15, that of the first three is 6 and that of the last three is 23. What is the fourth number? 18 13 15 7 18 13 15 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 4th No. = (Total of 7 Nos) - (Total of first three + total of last 3) = (15 x 7) - (6 x 3 + 23 x 3) = 105 - (18 + 69) =105 - 87 = 18
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 71 79 83 74 71 79 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
EXAMIANS