Number System On converting the following base-2 numeral in base ten, 1101101, we get 106 107 109 108 106 107 109 108 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 109
Number System The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root? 27 None of these 32 8 27 None of these 32 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,x + 1/x = 34/8 8x2 - 34x + 8 = 0 4x2 - 17x + 4 = 0 (4x - 1)(x - 4) = 0 x = 4required number = 4 * √4 = 4 * 2 = 8.
Number System If the fraction 8/6, 7/5, 18/13, 9/5 and 7/11 are arranged in descending order of their values, which one will be the second ? 2/7 3/4 7/5 1/9 2/7 3/4 7/5 1/9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 8/6 = 1. 333, 7/5 = 1.4, 18/13 = 1.3849/5 = 1.8 and 7/11 = 0.636Therefore, Descending order is 9/5 > 7/5 > 18/13 > 8/6 > 7/11Therefore Second fraction is 7/5
Number System In how many different ways can the letters of the word FORMULATE be arranged ? 392880 372880 362880 382880 392880 372880 362880 382880 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. of letters = 9! = 9*8*7*6*5*4*3*2*1 = 362880
Number System Which one of the following represents the sum of the first n even numbers? N2 N(N + 1) N2+ 1 N(N – 1) N2 N(N + 1) N2+ 1 N(N – 1) ANSWER EXPLANATION DOWNLOAD EXAMIANS APP N (N + 1)
Number System How many numbers between 300 and 800 can be by using digits 2, 4, 5, 6 and 0 ? 56 36 48 52 56 36 48 52 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∴ Reqd . numbers = 3 x 4P2 = 3 x 12 = 36
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