Number System I. 3x2-14x + 8 = 0 II. 2y2 - 1 7 y + 36 = 0 if x >= y if x < y if x > y if x <= y if x >= y if x < y if x > y if x <= y ANSWER EXPLANATION DOWNLOAD EXAMIANS APP l. 3x2 - 12x - 2x + 8 = 0or 3x(x - 4) -2 (x -4) = 0∴ x = 4, 2/3ll. 2y2 - 8y - 9y + 36 = 0or 2y (y - 4) -9 (y - 4) = 0or (2y - 9) (y - 4) = 0∴ y = 4, 9/2
Number System Two-third of a positive number and 25/216 of its reciprocal are equal. The number is: 5/12 12/5 144/25 25/144 5/12 12/5 144/25 25/144 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,2/3 x = 25/216 * 1/xx2 = 25/216 * 3/2 = 25/144 x = 5/12
Number System The sum of two numbers is 25 and their difference is 13. Find their product. 104 325 315 114 104 325 315 114 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then x + y = 25 and x - y = 13.x = 19; y = 6xy = 19 * 6 = 114
Number System A man engaged a servant on the condition that he would pay him Rs.710 and a uniform after a year service. He served only for 8 months and got Rs.460 and a uniform. Find the price of the uniform? Rs.40 Rs.25 Rs.30 Rs.20 Rs.40 Rs.25 Rs.30 Rs.20 ANSWER DOWNLOAD EXAMIANS APP
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? 1/5 2/5 Data inadequate 1/25 1/5 2/5 Data inadequate 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 cost of 87 pens and 29 pencils is `783. What is the cost of 90 pens and 30 pencils ? Rs. 820 Rs. 830 Rs. 800 Rs. 810 Rs. 820 Rs. 830 Rs. 800 Rs. 810 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the price of a pen be 'x' and that of pencil be 'y' Then 87x + 29y = 783Multiplying eqn (i) by 30/29 we get (87x) x 30/29 + (29y) 30/29 = 783 x 30/29∴ 90x + 30y = 810
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