Number System If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ? 179 124 146 163 179 124 146 163 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x Therefore, x² - (83)² = 8487x² = 8487 + (83)²x² = 8487 + 6889x² = 15376Therefore, x² = 15376 x = 124
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 ? 158 160 167 163 158 160 167 163 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 In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A? Data inadequate 1/5 2/5 1/25 Data inadequate 1/5 2/5 1/25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP A = 2B => B = 1/2 A, so, AB = 2/25 1/2 A2 = 2/25A2 = 4/25 A = 2/5
Number System The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? 5 3 11 7 5 3 11 7 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 population of a town increases by 15% in the first year and decreases by 25% in the second year. If its current population is 168480 then what will be its population after two years ? 145314 145714 145914 145214 145314 145714 145914 145214 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Population of the town= 168480 x 115/100 x 75/100= 145314
Number System On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is: 13 10 12 11 13 10 12 11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Clearly, (2272 - 875) = 1397, is exactly divisible by N.Now. 1397 = 11 * 127The required 3-digit number is 127, the sum of whose digit is 10.
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