Number System The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 5/4 3/5 3/10 4/5 5/4 3/5 3/10 4/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5
Number System What is 50% of 40% of Rs. 3,450? 640 630 690 670 640 630 690 670 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 40% * 3450 = 1380then, 50 % * 1380 = 690
Number System If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ? 124 179 163 146 124 179 163 146 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 What is a two-digit number if the ratio of the digit at ten's place to the digit at unit's place is 4 : 3 ? (I) The sum of the digits of a two-digit number is 14. (II) The digit at unit place is 75% o If the data in statement (II) alone is sufficient to answer the question, while that in statement (I) alone is not sufficient. If the data in statement (I) alone is sufficient to answer the question while that in statement (II) alone is not sufficient. If the data either in statement (I) alone or in statement (II) alone is sufficient to answer the question. If the data even in both statements (I) and (II) together is not sufficient to answer the question. If the data in statement (II) alone is sufficient to answer the question, while that in statement (I) alone is not sufficient. If the data in statement (I) alone is sufficient to answer the question while that in statement (II) alone is not sufficient. If the data either in statement (I) alone or in statement (II) alone is sufficient to answer the question. If the data even in both statements (I) and (II) together is not sufficient to answer the question. ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y∴ 3x = 4y ......(1)From (I),x + y = 14 .....(2)Solving equations (1) and (2),x = 8, y = 6∴ Number = 86 From (II)y = 75/100 x x ∴ 3x = 4y.Which is the same as eqn (1)
Number System The difference between 71% of a number and 46% and of the same number is 212. What is 75% of that number 724 845 636 673 724 845 636 673 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ 71% of x - 46% of x = 212∴ (71 - 46)% of x = 212∴ 25/100 x x = 212∴ x = 212 x 4 = 848∴ 75% of 848 = 848 x 75/100 = 636
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