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 12/35 7/32 1/35 35/8 12/35 7/32 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 If A + B = 30 and AB = 94, What is the value of A² + B² ? 920 712 824 625 920 712 824 625 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (A + B)² = (30)² = 900A² + B² + 2AB = 900Therefore, A² + B² = 900 - 2 x 94 = 900 - 188 = 712
Number System Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively? 61 67 65 75 61 67 65 75 ANSWER DOWNLOAD EXAMIANS APP
Number System How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336 4 6 5 7 4 6 5 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 132 = 11 * 3 * 4Clearly, 968 is not divisible by 3None of 462 and 2178 is divisible by 4And, 5284 is not divisible by 11Each one of the remaining four numbers is divisible by each one of 4, 3 and 11.So, there are 4 such numbers.
Number System Sum of two consecutive even terms lacks by 98 from their product. Find the sum of these number 18 None 32 24 18 None 32 24 ANSWER DOWNLOAD EXAMIANS APP
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? 6/13 7/13 9/13 8/13 6/13 7/13 9/13 8/13 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
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