Number System What number should replace both the question marks (?) in the following question ? 84 83 82 85 84 83 82 85 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 84
Number System The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 4/5 3/10 3/5 5/4 4/5 3/10 3/5 5/4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5
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? 7/13 9/13 8/13 6/13 7/13 9/13 8/13 6/13 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 If a + b = 16 and ab = 68, what is the value of a² + b² ? 116 120 124 112 116 120 124 112 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a + b = 16 Therefore, (a+b)² = (16)² = 256 a² + b² + 2ab = 256Therefore, a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120
Number System 93296 - 45874 + 20382 - 56817 = ? 109887 109867 109877 109857 109887 109867 109877 109857 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 113678 - 102691 = 109887
Number System In how many different ways can be the letters of the word PENCIL be arranged among themselves ? 860 640 720 510 860 640 720 510 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total six letters are there and hence the number of arrangements = 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
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