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 ? 6/9 5/9 4/9 3/9 6/9 5/9 4/9 3/9 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 In how many different ways can the letters of the word CORPORATION be arranged ? 3326400 None of these 2326400 1326400 3326400 None of these 2326400 1326400 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP CORPORATION = 11 letters 'O' comes thrice,'R' twice.∴ total no. of ways = 111/3121 = 3326400
Number System If the product of two successive positive integers is 4692, what is the smaller number ? 66 68 64 70 66 68 64 70 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∵ 68 x 69 = 4692
Number System In how many ways can 5 boys be chosen from 6 boys and 4 girls so as to include exactly one girl ? 56 58 60 54 56 58 60 54 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP One girl can be chosen in 4C1 = 4 ways and 4 boys can be chosen in 6C4 = 15 ways ∴ Total number of ways = 4 x 15 = 60 ways.
Number System 0.333 .... × 0.444 .... is equal to 1.333 .... 0.121212 .... 0.777 .... 0.148148148 .... 1.333 .... 0.121212 .... 0.777 .... 0.148148148 .... ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.148148148 ....
Number System If the sum of four consecutive numbers is 370, which the following is the third lowest number among them 90 89 92 91 90 89 92 91 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the four consecutive numbers be x, (x + 1), (x + 2), (x + 3) thenx + (x + 1) + (x + 2) + (x + 3) = 370= 4x + 6 = 370∴ x = 364/4 = 91∴ third lowest number among them = x + 1= 91 + 1 = 92
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