Number System The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers? 35/8 7/32 12/35 1/35 35/8 7/32 12/35 1/35 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.
Number System Find the least value of 3x + 4y if x2y3 = 6. 3 6 7 10 3 6 7 10 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 10
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 If (182)² is added to the square of a number, the answer so obtained is 47765. What is the number ? 101 121 111 131 101 121 111 131 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be xTherefore x² + (182)² = 47765Therefore x² = 47765 - (182)2 = 47765 - 33124Therefore x² = 14641, Therefore x = 121
Number System If the difference between a number and its three fifths is 62, what is the number ? 155 175 145 165 155 175 145 165 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x - 3x/5 = 62or x = 62 x 5/2 = 155
Number System In how many different ways can the letters of word "SENTENCE" be arranged ? 6460 2360 3360 3260 6460 2360 3360 3260 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of ways = 8!/3! 2! = 40320/12 = 3360
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