Number System A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13? 0 7 11 5 0 7 11 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 39 + 20 = 59/13 = 7 (Remainder)
Number System If one-third of one fourth of a number is 15, then three-tenth of that number is: 35 25 45 54 35 25 45 54 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,1/3 of 1/4 of x = 15x = 15 * 12 = 180So, required number = (3/10 * 180) = 54.
Number System What is the least number, which is perfect square but contains 2700 as its factor? 10800 1800 5400 2700 10800 1800 5400 2700 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 900 * 3 * 3 = 8100
Number System In how many different ways can the letters of the word TEST' be arranged ? 16 8 12 10 16 8 12 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 A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17? 11 9 5 10 11 9 5 10 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 221 + 43 = 264/17 = 9 (Remainder)
Number System The difference between a two-digit number and the number obtained by interchange the two digits of the number is 27. If the sum of the two digits of the number is 13, what is their product ? 37 40 39 38 37 40 39 38 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40
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