Number System (√6 + 1)² = ? + 2√6 5 8 6 7 5 8 6 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (√6 + 1)² - 2√6= (√6)² + 2 x √6 + 1 + 1² - 2√6= 6 + 2√6 + 1 - 2√6 = 6 + 1 = 7
Number System Subtracting 30 from a number, the remainder is one fourth of the number. Find the number? 22 1/2 40 30 45 22 1/2 40 30 45 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/4 x = 30 => x = 40
Number System In how many different ways can the letters of word 'BIOLOGY' be arranged ? 2520 2367 2410 2678 2520 2367 2410 2678 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 following fractions 7/6, 6/7, 5/3, 8/13 and 6/5 are arranged in descending order, which will be the last in the series? 9/13 8/13 6/13 7/13 9/13 8/13 6/13 7/13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 7/6 = 1.166, 6/7 = 0.857,5/3 = 1.66,8/13 = 0.615,6/5 = 1.2Therefore, 5/3 > 6/5 > 7/6 > 6/7 > 8/13
Number System The sum of two numbers is 25 and their difference is 13. Find their product. 104 114 315 325 104 114 315 325 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then x + y = 25 and x - y = 13.x = 19; y = 6xy = 19 * 6 = 114
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: 352 370 145 253 352 370 145 253 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.