Number System If the numerator of a fraction is decreased by 12.5% and the denominator is increased by 180% the resultant fraction is 1/2. What is the original fraction ? 3/5 8/5 7/5 1/5 3/5 8/5 7/5 1/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the original fraction be x/y.∴ x x 87.5/100/y x 280/100 = 1/2or 87.5x/280y = 1/2∴ 175x = 280y∴ x/y = 280/175 = 8/5
Number System What should come in place of (?) in the following series ? 10, 19, 30, 43, 58, ? 78 76 77 75 78 76 77 75 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The series is: +9, +11, +13, +15, +17
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 71 83 74 79 71 83 74 79 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
Number System 0.333 .... × 0.444 .... is equal to 1.333 .... 0.777 .... 0.121212 .... 0.148148148 .... 1.333 .... 0.777 .... 0.121212 .... 0.148148148 .... ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.148148148 ....
Number System 4550 ÷ 25% of ? = 130 135 140 130 125 135 140 130 125 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 4550 ÷ ? x 25/100 = 130= 4550 ÷ ?/4 = 130= 4550 x 4/? = 130= ? x 130 = 4550 x 4= ? = 4550 x 4/130 = 140
Number System If (182)² is added to the square of a number, the answer so obtained is 47765. What is the number ? 111 121 131 101 111 121 131 101 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be xTherefore x² + (182)² = 47765Therefore x² = 47765 - (182)2 = 47765 - 33124Therefore x² = 14641, Therefore x = 121
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