Number System Find the smallest number which when divided by 13 and 16 leaves respective remainders of 2 and 5. 187 197 207 219 187 197 207 219 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let 'N' is the smallest number which divided by 13 and 16 leaves respective remainders of 2 and 5.Required number = (LCM of 13 and 16) - (common difference of divisors and remainders) = (208) - (11) = 197.
Number System If the numerator of a fraction is increased by 200% and the denominator by 300%, the fraction thus obtained is 1/36. What is the original fractions ? 3/9 4/9 6/9 5/9 3/9 4/9 6/9 5/9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the fractions be x/yx + 200% of x/y + 300% of y = 1/3= x + 2x/y + 3y = 1/3= 3x/4y = 1/3Hence x/y = 4/9
Number System In how many different ways can the letters of the word 'FRUGAL'be arranged ? 660 515 720 556 660 515 720 556 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP In FRUGAL there ae six difference letters Therefore, 6 ! = 6 x 5 x 4 x 3 x 2 x 1 = 720
Number System In how many different ways can be the letters of the word PENCIL be arranged among themselves ? 860 720 510 640 860 720 510 640 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 6 None of these 8 3.5 6 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,3(2x + 9) = 752x = 16 => x = 8
Number System If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ? 146 124 163 179 146 124 163 179 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x Therefore, x² - (83)² = 8487x² = 8487 + (83)²x² = 8487 + 6889x² = 15376Therefore, x² = 15376 x = 124
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