Number System In how many different ways can the letters of word "SENTENCE" be arranged ? 2360 3260 3360 6460 2360 3260 3360 6460 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of ways = 8!/3! 2! = 40320/12 = 3360
Number System If one-third of one fourth of a number is 15, then three-tenth of that number is: 54 35 25 45 54 35 25 45 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,1/3 of 1/4 of x = 15x = 15 * 12 = 180So, required number = (3/10 * 180) = 54.
Number System If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is: 88 40 44 80 88 40 44 80 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404 Now, 2xy = (x + y)2 - (x2 + y2) 2xy= 222 - 404 = 484 - 404 = 80xy = 40
Number System On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder? 6 5 7 4 6 5 7 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let x be the number and y be the quotient. Then, x = 357 * y + 39= (17 * 21 * y) + (17 * 2) + 5= 17 * (21y + 2) + 5.Required remainder = 5.
Number System If the difference between a number and its 2/5 is 240, find the number. 480 440 400 360 480 440 400 360 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be x Therefore x - 2x/5 = 240, Therefore, 3x/5 = 240Therefore, x = 240x5/3 = 400
Number System If the sum of four consecutive numbers is 370, which the following is the third lowest number among them 89 92 90 91 89 92 90 91 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the four consecutive numbers be x, (x + 1), (x + 2), (x + 3) thenx + (x + 1) + (x + 2) + (x + 3) = 370= 4x + 6 = 370∴ x = 364/4 = 91∴ third lowest number among them = x + 1= 91 + 1 = 92