Number System If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ? 163 124 179 146 163 124 179 146 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x Therefore, x² - (83)² = 8487x² = 8487 + (83)²x² = 8487 + 6889x² = 15376Therefore, x² = 15376 x = 124
Number System How many words can be made using the letters of the word "BHAG WADGITA" if all the vowels come together and all the consonants come together ? 40160 10160 30160 20160 40160 10160 30160 20160 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. of words = l2 l4 l7 / l3 l2 = 20160
Number System What is the least number that should be added to 5200 to make it a perfect square ? 225 288 129 275 225 288 129 275 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP We sec (73)² = 5329 and (72)² = 5184ie 5329 > 5200 > 5184So 129 should be added to make is perfect square.
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 ? 7/5 1/9 2/7 3/4 7/5 1/9 2/7 3/4 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 The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 3/5 3/10 5/4 4/5 3/5 3/10 5/4 4/5 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 The simplest form of 1.5 : 2.5 is : 5 : 7 3 : 5 17 : 19 13 : 11 5 : 7 3 : 5 17 : 19 13 : 11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3 : 5
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