Number System In how many different ways can the letters of word 'BIOLOGY' be arranged ? 2678 2410 2520 2367 2678 2410 2520 2367 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP In BIOLOGY total 7 letters are there but O comes twice.∴ Number of arrangements = 7!/2! = 2520
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 39 38 40 37 39 38 40 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
Number System √360 - 225 x 2 + 379 = ? 18 19 20 17 18 19 20 17 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = √360 - 225 x 2 + 379 = √360 - 450 + 379 = √289= 17
Number System In how many different ways can the letters of the word TEST' be arranged ? 10 12 16 8 10 12 16 8 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 The sum of the numbers is 264. If the first number be twice the second and third number be one-third of the first, then the second number is: 72 84 48 54 72 84 48 54 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the second number be x. Then, first number = 2x and third number = 2x/3.2x + x + 2x/3 = 26411x/3 = 264x = 72
Number System Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is: 27 18 36 30 27 18 36 30 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (3x-9):(5x-9) = 9:17 x = 12 => 3x = 36
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