Number System The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? 5 11 3 7 5 11 3 7 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 If all the fractions 3/10, 1/16, 4/11, 2/9, 1/7, 5/14 and 5/24 arranged in descending order of their values, then which one will be the third? 2/9 4/11 1/16 3/10 2/9 4/11 1/16 3/10 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/10 = 0.3, 1/16 = 0.0625, 4/11 = 0.36, 2/9 = 0.22, 1/7 = 0.14, 5/14 = 0.36 and 5/24 = 0.214/11 > 5/14 > 3/10 > 2/9 > 5/24 > 1/7 > 1/163/10 will be the third.
Number System A, B, C, D and E are consecutive even numbers respectively. The average of 5 numbers is 82. What is the product of C and E ? 6353 6363 6373 6383 6353 6363 6373 6383 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4 = 5 x 82= 5x + 10 = 410 = 5x = 400= x = 400/5 = 80 ∴ A = 80C = 82and E = 84= C x E = 82 x 84 = 6383
Number System The difference between a two-digit number and the number obtained by interchanging its two digits is 45. The sum of the digit of the number is 9. What is the product of the two digits of the number? 12 15 13 14 12 15 13 14 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.Therefore, x + y = 9 ..................(i)10x + y - (10y + x) = 4510x + y - 10y - x = 45Therefore, x - y = 5 ..................(ii)From (i) and (ii), x = 7, y = 2Number = 72Therefore, = x x y = 7 x 2 = 14
Number System Twenty times a positive integer is less than its square by 96. What is the integer? 20 Cannot be determined 24 30 20 Cannot be determined 24 30 ANSWER DOWNLOAD EXAMIANS APP
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
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