Number System The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 5/4 3/10 4/5 3/5 5/4 3/10 4/5 3/5 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 4500 * ? = 3375 2/5 3/5 3/4 1/4 2/5 3/5 3/4 1/4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 4500 * x = 3375= x = 3375/4500 = 3/4
Number System Find the smallest number which when divided by 13 and 16 leaves respective remainders of 2 and 5. 187 219 197 207 187 219 197 207 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let 'N' is the smallest number which divided by 13 and 16 leaves respective remainders of 2 and 5.Required number = (LCM of 13 and 16) - (common difference of divisors and remainders) = (208) - (11) = 197.
Number System In how many different ways can the letters of word "COLLEGE" be arranged ? 1280 1260 1300 1240 1280 1260 1300 1240 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of ways = 7!/2!2! = 1260(∵ L and E come twice)
Number System Of an amount, 20% of 25% of 30% is Rs 75. Then what is the original amount ? Rs. 2000 Rs. 3000 Rs. 5000 Rs. 4000 Rs. 2000 Rs. 3000 Rs. 5000 Rs. 4000 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the amount be x.∴ X x 20/100 x 25/100 x 30/100 = 75∴ X = 75 x 5 x 4 x 10/3 = 5000
Number System The difference between a number and its three-fifth is 50. What is the number? 100 None of these 75 125 100 None of these 75 125 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x - 3/5 x = 50 => 2/5 x = 50x = (50 * 5)/2 = 125.
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