Number System The difference between two integers is 5. Their product is 500. Find the numbers. 20, 25 21, 26 15, 20 30, 25 20, 25 21, 26 15, 20 30, 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the integers be x and (x + 5). Then, x(x + 5) = 500 x2 + 5x - 500 = 0 (x + 25)(x - 20) = 0 x = 20So, the numbers are 20 and 25.
Number System Find the nearest to 25268 which is exactly divisible by 467? 25208 25308 25218 25228 25208 25308 25218 25228 ANSWER DOWNLOAD EXAMIANS APP
Number System If the sum of five consecutive even numbers A, B, C, D and E is 130, what is the product of A and E ? 840 780 720 660 840 780 720 660 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the consecutive even numbers be A = 2x, B = 2x + 2, C = 2x + 4, D = 2x + 6 and E = 2x + 8= A + B + C + D + E = 130= 10x + 20 = 130∴ x = 130 - 20/10 = 11Therefore, product of A and E= 22 x 30 = 660
Number System In how many different ways can the letters of the word ANATOMY be arranged ? 2510 2508 2504 2520 2510 2508 2504 2520 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Here total letters are 7 but A comes twice.Therefore, Numbers of arrangements = 7!/2! = 2520
Number System Which number should replace question mark (?) in the following equation ? ?/342 = 38/? 112 114 118 116 112 114 118 116 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 342 x 38Therefore, ? = √342 x 38 = √38 x 9 x 38 = 38 x 3 = 114
Number System A, B, C, D and E are consecutive even numbers respectively. The average of 5 numbers is 82. What is the product of C and E ? 6353 6363 6383 6373 6353 6363 6383 6373 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4 = 5 x 82= 5x + 10 = 410 = 5x = 400= x = 400/5 = 80 ∴ A = 80C = 82and E = 84= C x E = 82 x 84 = 6383
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