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 The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is? 6 4 1 Nothing can be said. 6 4 1 Nothing can be said. ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (10x + y) – (10y + x) = 54x – y = 6
Number System In how many different ways can the letters of word "SENTENCE" be arranged ? 2360 6460 3260 3360 2360 6460 3260 3360 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of ways = 8!/3! 2! = 40320/12 = 3360
Number System A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits? 60 12 7 8 60 12 7 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x * 3/5 * 1/5 = 9x = 75 => 7 + 5 = 12
Number System The difference between 45% of a number and 18% of the same number is 145.8. What is 30% of that number ? 188 245 162 141 188 245 162 141 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.45% of x - 18% of x = 145.8∴ x/100 (45 - 18) = 145.8∴ x = 145.8 x 100/27 = 540∴ 30% of 540 = 540 x 30/100 = 162
Number System The difference between a two-digit number and the number obtained by interchanging its two digits is 45. The sum of the digit of the number is 9. What is the product of the two digits of the number? 14 15 13 12 14 15 13 12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.Therefore, x + y = 9 ..................(i)10x + y - (10y + x) = 4510x + y - 10y - x = 45Therefore, x - y = 5 ..................(ii)From (i) and (ii), x = 7, y = 2Number = 72Therefore, = x x y = 7 x 2 = 14
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