Number System In how many different ways can be the letters of the word PENCIL be arranged among themselves ? 860 640 510 720 860 640 510 720 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total six letters are there and hence the number of arrangements = 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
Number System A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number? 8 3.5 None of these 6 8 3.5 None of these 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,3(2x + 9) = 752x = 16 => x = 8
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 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.30 Rs.25 Rs.20 Rs.40 Rs.30 Rs.25 Rs.20 ANSWER DOWNLOAD EXAMIANS APP
Number System In how many different ways can the letters of the word 'LEASE' be arranged ? 80 60 None of these 40 80 60 None of these 40 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The world LEASE consists of 5 letters in which E comes twice ∴ 51/21 = 5x4x3x2x1/2x1 = 60
Number System 75% of 250 - ?% of 380 = 54.5 33 35 31 39 33 35 31 39 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 250 x 75/100 - 380 x ?/100 = 54.5= 250 x 75 - 380 x ?= 54.5 x 100= 18750 - 380 x ?= 5450= 380 x? = 18750 - 5450= 13300= ? = 13300/380 = 35
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