Number System In how many different ways can the letters of word 'BIOLOGY' be arranged ? 2520 2410 2678 2367 2520 2410 2678 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 If the product of two successive positive integers is 4692, what is the smaller number ? 68 66 70 64 68 66 70 64 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∵ 68 x 69 = 4692
Number System What is the value of ? in the following equations ? 72/? = ?/50 100 60 80 40 100 60 80 40 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 72 x 50= (6 x 6 x 2) x (5 x 5 x 2)= (6 x 5 x 2)² = (60)²∴ ? = 60
Number System The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is: None of these 20 30 40 None of these 20 30 40 ANSWER DOWNLOAD EXAMIANS APP
Number System The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers? 70 Cannot be determined 92 29 70 Cannot be determined 92 29 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x and units digit by y.Then,(10x + y) - (10y + x) = 639(x - y) = 63x - y = 7Thus, none of the numbers can be determined.
Number System If the sum of four consecutive numbers is 370, which the following is the third lowest number among them 91 90 92 89 91 90 92 89 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the four consecutive numbers be x, (x + 1), (x + 2), (x + 3) thenx + (x + 1) + (x + 2) + (x + 3) = 370= 4x + 6 = 370∴ x = 364/4 = 91∴ third lowest number among them = x + 1= 91 + 1 = 92
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