Number System The square root of 3 + “5 is : “(5/2) + “(1/2) “3 /2 - 1/”2 “3 /2 + 1/”2 “5 /2 - 1/”2 “(5/2) + “(1/2) “3 /2 - 1/”2 “3 /2 + 1/”2 “5 /2 - 1/”2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP “(5/2) + “(1/2)
Number System In how many different ways can the letters of the word 'FRUGAL'be arranged ? 660 720 515 556 660 720 515 556 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP In FRUGAL there ae six difference letters Therefore, 6 ! = 6 x 5 x 4 x 3 x 2 x 1 = 720
Number System √9216 + √15376 = ? 220 231 227 224 220 231 227 224 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = √9216 + √15376= 96 + 124= 220
Number System If the numerator of a fraction is increased by 200% and the denominator by 300%, the fraction thus obtained is 1/36. What is the original fractions ? 3/9 6/9 4/9 5/9 3/9 6/9 4/9 5/9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the fractions be x/yx + 200% of x/y + 300% of y = 1/3= x + 2x/y + 3y = 1/3= 3x/4y = 1/3Hence x/y = 4/9
Number System The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers? 252 296 388 344 252 296 388 344 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the four numbers be x, x + 2, x + 4 and x + 6.=> x + x + 2 + x + 4 + x + 6 = 36=> 4x + 12 = 36 => x = 6The numbers are 6, 8, 10 and 12.Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.
Number System If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ? 146 179 124 163 146 179 124 163 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
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