Number System If the difference between the squares of two consecutive numbers is 47, what is the smaller number ? 24 23 26 25 24 23 26 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23
Number System The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is: 12 16 10 15 12 16 10 15 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and (22 - x). Then,5x = 6(22 - x) 11x = 132 => x = 12So, the numbers are 12 and 10.
Number System A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15? 9 1 11 13 9 1 11 13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 45 + 31 = 76/15 = 1 (Remainder)
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? 2/5 Data inadequate 1/25 1/5 2/5 Data inadequate 1/25 1/5 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 If the three fourth of a number is subtracted from the number; the value so, obtained is 163. What is that number ? 678 692 652 689 678 692 652 689 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number x (1 - 3/4) = 163∴ Number = 163 x 4 = 652
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 ? 8/5 3/5 1/5 7/5 8/5 3/5 1/5 7/5 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
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