Number System In how many different ways can be the letters of the word PENCIL be arranged among themselves ? 640 720 860 510 640 720 860 510 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 The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? 7 11 5 3 7 11 5 3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7
Number System In a two-digit number, the digit in unit's place is two more than three times the digit in ten's place. If the sum of the two digits is 10, what is the number ? 28 24 22 18 28 24 22 18 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.∴ y = 3x + 2 .......(i)And, x + y = 10 ......(ii)From (i) and (ii), x = 2, y = 8∴ Number = 28
Number System If the average of two numbers is 88.5 and one number is 5.5 less than the average. Find out the next number. 86 94 97 91 86 94 97 91 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 94
Number System In a fraction, twice the numerator is two more than the denominator. If 3 is added to the numerator and the denominator each, then the resultant fraction will be 2/3 .What was the original fraction 11/12 17/12 19/12 7/12 11/12 17/12 19/12 7/12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 7/12
Number System √9216 + √15376 = ? 220 231 227 224 220 231 227 224 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = √9216 + √15376= 96 + 124= 220
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