Number System In how many different ways can the letters of word "SENTENCE" be arranged ? 3360 3260 6460 2360 3360 3260 6460 2360 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of ways = 8!/3! 2! = 40320/12 = 3360
Number System Find the average of the following set of scores 450, 1050, 12, 390, 143, 286, 550, 999 495 485 480 490 495 485 480 490 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required average score = (450 + 1050 + 12 + 390 + 143 + 286 + 550 + 999) / 8 = 3880 / 8 = 485
Number System Sum of the digits number is 8 and their product is 12. Find the difference between the digits? 6 4 None 2 6 4 None 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 83 74 79 71 83 74 79 71 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83
Number System The difference between a two-digit number and the number obtained after interchanging its two digits is 36. The sum of the two digits of the number is 12. Find the lowest such possible number. 47 50 48 49 47 50 48 49 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the digits be x and yTherefore, x + y = 12 .............(1)(10y + x) - (10x + y) Therefore, y - x = 4............. (2)Solving (1) and (2), y = 8 Therefore, x = 4There are two possible numbers 48 and 84. So the lowest no. is 48.
Number System A bag contains eighteen 25-paise coins, seventeen 50-paise coins, twentytwo one-rupee coins, nine 2-rupee coins and three 5-rupee coins. What is the total amount in the bag (Ans in rupees) ? Rs. 68 Rs. 62 Rs. 74 Rs. 79 Rs. 68 Rs. 62 Rs. 74 Rs. 79 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total = 18/7 + 17/2 + 22 + 9 x 2 + 3 x 5 = 4.5 + 8.5 + 22 + 18 + 15 = Rs 68
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