Number System If a number is multiplied by. three-fourth of itself, the value thus obtained is 10800. What is that number ? 260 60 120 180 260 60 120 180 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 3x/4 = 10800= x² = 10800 x 4/3 = 14400∴ x = √14400 = 120
Number System The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 3/10 4/5 3/5 5/4 3/10 4/5 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 (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ? 146 124 179 163 146 124 179 163 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 If the sum of five consecutive even numbers A, B, C, D and E is 130, what is the product of A and E ? 840 720 660 780 840 720 660 780 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the consecutive even numbers be A = 2x, B = 2x + 2, C = 2x + 4, D = 2x + 6 and E = 2x + 8= A + B + C + D + E = 130= 10x + 20 = 130∴ x = 130 - 20/10 = 11Therefore, product of A and E= 22 x 30 = 660
Number System 56.21 +2.36+5.41 —21.4+1.5=? 64.08 54.08 44.08 34.08 64.08 54.08 44.08 34.08 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 44.08
Number System A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17? 10 11 9 5 10 11 9 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 221 + 43 = 264/17 = 9 (Remainder)
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