Number System The difference between two integers is 5. Their product is 500. Find the numbers. 21, 26 30, 25 15, 20 20, 25 21, 26 30, 25 15, 20 20, 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 In how many different ways can the letters of the word 'DETERMINE' be arranged ? 63480 60480 61480 62480 63480 60480 61480 62480 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. of arrangements = 9! / 3! Because, E comes 3 times = 60480
Number System A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is: 370 145 352 253 370 145 352 253 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the middle digit be x. Then, 2x = 10 or x = 5.So, the number is either 253 or 352. Since the number increases on reversing the digits, so the hundred's digit is smaller than the unit's digit. Hence, required number = 253.
Number System If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ? 179 146 163 124 179 146 163 124 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x Therefore, x² - (83)² = 8487x² = 8487 + (83)²x² = 8487 + 6889x² = 15376Therefore, x² = 15376 x = 124
Number System What is the difference between the largest number and the least number written with the digits 7, 3, 1, 4? 5084 6084 6048 6184 5084 6084 6048 6184 ANSWER DOWNLOAD EXAMIANS APP
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 ? 6383 6353 6363 6373 6383 6353 6363 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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