Number System (√6 + 1)² = ? + 2√6 5 8 7 6 5 8 7 6 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 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: 370 352 145 253 370 352 145 253 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.
Number System If the L.C.M of two numbers is 750 and their product is 18750, find the H.C.F of the numbers. 125 30 25 50 125 30 25 50 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP H.C.F = (Product of the numbers) / (Their L.C.M) = 18750/750 = 25.
Number System If all the fractions 3/10, 1/16, 4/11, 2/9, 1/7, 5/14 and 5/24 arranged in descending order of their values, then which one will be the third? 1/16 3/10 4/11 2/9 1/16 3/10 4/11 2/9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/10 = 0.3, 1/16 = 0.0625, 4/11 = 0.36, 2/9 = 0.22, 1/7 = 0.14, 5/14 = 0.36 and 5/24 = 0.214/11 > 5/14 > 3/10 > 2/9 > 5/24 > 1/7 > 1/163/10 will be the third.
Number System If R2 = S3 = K, where R, S and K are integers. Find the smallest positive integral value of K. (Greater than 1) 64 54 75 88 64 54 75 88 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 64
Number System If the difference between the squares of two consecutive numbers is 47, what is the smaller number ? 23 26 25 24 23 26 25 24 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23
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