Number System If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is: 12 160 28 180 12 160 28 180 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, x + y = 20 and x - y = 8x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.
Number System Find the least number with which 16200 should be multiplied, to make it a perfect cube. 360 45 36 48 360 45 36 48 ANSWER DOWNLOAD EXAMIANS APP
Number System (12.11)2 + (?)2 = 732.2921 17.2 24.2 20.2 14.2 17.2 24.2 20.2 14.2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 24.2
Number System In how many different ways can the letters of the word CORPORATION be arranged ? 1326400 None of these 2326400 3326400 1326400 None of these 2326400 3326400 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP CORPORATION = 11 letters 'O' comes thrice,'R' twice.∴ total no. of ways = 111/3121 = 3326400
Number System In a two-digit number, the digit in unit's place is two more than three times the digit in ten's place. If the sum of the two digits is 10, what is the number ? 28 24 18 22 28 24 18 22 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.∴ y = 3x + 2 .......(i)And, x + y = 10 ......(ii)From (i) and (ii), x = 2, y = 8∴ Number = 28
Number System The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 3/10 4/5 5/4 3/5 3/10 4/5 5/4 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
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