Number System If (17)3 is subtracted from the square of a number, the answer so obtained is 2143. What is the number ? 81 82 84 83 81 82 84 83 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x² - (17*17*17) = 2143or x² = 2143 + 4913 = 7056∴ x = 84
Number System In how many different ways can the letters of word 'BIOLOGY' be arranged ? 2520 2678 2367 2410 2520 2678 2367 2410 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 product of two successive numbers is 4556. Which of the following is the larger of the two numbers? 68 63 67 78 68 63 67 78 ANSWER DOWNLOAD EXAMIANS APP
Number System A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by: 5 11 9 3 5 11 9 3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x and unit's digit be y. Then, number 10x + y.Number obtained by interchanging the digits = 10y + x.(10x + y) + (10y + x) = 11(x + y)which is divisible by 11.
Number System {(742)² ÷ 36} ÷ 2 = ? 422.5 423.5 420.5 421.5 422.5 423.5 420.5 421.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (174 x 174/36) ÷ 2 = 841/2 = 420.5
Number System Sum of the digits number is 8 and their product is 12. Find the difference between the digits? None 6 2 4 None 6 2 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4
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