Number System The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? 7 3 11 5 7 3 11 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7
Number System I. 3x2-14x + 8 = 0 II. 2y2 - 1 7 y + 36 = 0 if x <= y if x >= y if x < y if x > y if x <= y if x >= y if x < y if x > y ANSWER EXPLANATION DOWNLOAD EXAMIANS APP l. 3x2 - 12x - 2x + 8 = 0or 3x(x - 4) -2 (x -4) = 0∴ x = 4, 2/3ll. 2y2 - 8y - 9y + 36 = 0or 2y (y - 4) -9 (y - 4) = 0or (2y - 9) (y - 4) = 0∴ y = 4, 9/2
Number System In how many different ways can the letters of word 'BIOLOGY' be arranged ? 2410 2367 2678 2520 2410 2367 2678 2520 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP In BIOLOGY total 7 letters are there but O comes twice.∴ Number of arrangements = 7!/2! = 2520
Number System What number should replace both the question marks (?) in the following question ? 82 85 83 84 82 85 83 84 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 84
Number System 9 3/4 + 7 2/17 - 9 1/15 = ? 7 719/1020 9 719/1020 7 817/1020 9 817/1020 7 719/1020 9 719/1020 7 817/1020 9 817/1020 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given sum = 9 + 3/4 + 7 + 2/17 - (9 + 1/15)= (9 + 7 - 9) + (3/4 + 2/17 - 1/15)= 7 + (765 + 120 - 68)/1020 = 7 817/1020
Number System Sum of square of first number and cube of second number together is 568. Also square of the second number is 15 less than square of 8. What is the value of three-fifth of the first number ? 6 7 9 8 6 7 9 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the first number be x and the second number be y.∴ y² = 82 - 15 = 64 - 15 = 49∴ y = 7∴ x² + 73 = 568= x² + 343 = 568= x² + 568 - 343 = 225∴ x = √225 = 15∴ 15 x 3/5 = 9
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