Number System The sum of three consecutive multiples of 3 is 72. What is the largest number? 21 24 36 27 21 24 36 27 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be 3x, 3x + 3 and 3x + 6.Then,3x + (3x + 3) + (3x + 6) = 729x = 63x = 7Largest number = 3x + 6 = 27.
Number System If a number is multiplied by. three-fourth of itself, the value thus obtained is 10800. What is that number ? 260 180 120 60 260 180 120 60 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 3x/4 = 10800= x² = 10800 x 4/3 = 14400∴ x = √14400 = 120
Number System In how many different ways can the letters of the word TEST' be arranged ? 8 12 16 10 8 12 16 10 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The word TEST consists of 4 letters in which T comes twice ∴ Number of arrangements= 4!/2! = 4 x 3 x 2 x 1/2 x 1 = 12
Number System In an examination, 68% of the total examinees passed. If the number of failures is 248, the total number of examinees is 750 640 775 725 750 640 775 725 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Failed students are 32% which is 248.∴ Total = 24800/32 = 775
Number System What is the least number, which is perfect square but contains 2700 as its factor? 1800 10800 2700 5400 1800 10800 2700 5400 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 900 * 3 * 3 = 8100
Number System The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the smaller number? 295 240 360 270 295 240 360 270 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the smallest number be x.Then larger number = (x + 1365)x + 1365 = 6x + 15= 5x = 1350 x = 270Smaller number = 270.