Number System Find the least value of 3x + 4y if x2y3 = 6. 6 3 7 10 6 3 7 10 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 10
Number System If R2 = S3 = K, where R, S and K are integers. Find the smallest positive integral value of K. (Greater than 1) 88 54 75 64 88 54 75 64 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 64
Number System If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ? 163 146 179 124 163 146 179 124 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
Number System In how many different ways can be the letters of the word PENCIL be arranged among themselves ? 640 720 510 860 640 720 510 860 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 If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is: 80 44 40 88 80 44 40 88 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 What is the difference between the local values of 3 in the number 53403? 2997 3003 0 3030 2997 3003 0 3030 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3000 – 3 = 2997
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