Number System A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after one year service. He served only for 9 months and received uniform and Rs.650, find the price of the uniform? Rs.80 Rs.85 Rs.100 Rs.90 Rs.80 Rs.85 Rs.100 Rs.90 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 9/12 = 3/4 * 900 = 675 650 ------------- 251/4 -------- 251 --------- ? => Rs.100
Number System A number when multiplied by five times of itself give the value equal to 1445. What is the number ? 16 15 18 17 16 15 18 17 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x x 5x = 1445= 5x² = 1445= x² = 289∴ x = 17
Number System The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers? 7/32 35/8 12/35 1/35 7/32 35/8 12/35 1/35 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.
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 On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is: 47619 47649 48619 47719 47619 47649 48619 47719 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP By hit and trail, we find that47619 * 7 = 333333.7) 333333 (47619 333333---------------- 0
Number System If (47)² is added to the square of a number the answer thus obtained is 2290. What is the number ? 10 7 8 9 10 7 8 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be x Therefore, x² + (47)² = 2290Therefore, x² = 2290 - 2209 = 81Therefore, x = 9