Number System If the numberator of a fraction is increased by 50% and denominator by 20% the fraction become 9/15. What was the original fraction ? 13/25 3/5 6/7 12/25 13/25 3/5 6/7 12/25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the fraction be x/yWe have 150x/120y = 9/15= x/y = 12/25
Number System The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ? 85.5 83.5 84.5 82.5 85.5 83.5 84.5 82.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 165x - y = 92x = 174 ∴ x = 87 and y = 78∴ x + y/2 = 165/2 = 82.5
Number System If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is: 12 160 28 180 12 160 28 180 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, x + y = 20 and x - y = 8x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.
Number System The cost of 87 pens and 29 pencils is `783. What is the cost of 90 pens and 30 pencils ? Rs. 830 Rs. 810 Rs. 800 Rs. 820 Rs. 830 Rs. 810 Rs. 800 Rs. 820 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the price of a pen be 'x' and that of pencil be 'y' Then 87x + 29y = 783Multiplying eqn (i) by 30/29 we get (87x) x 30/29 + (29y) 30/29 = 783 x 30/29∴ 90x + 30y = 810
Number System The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers? 92 29 70 Cannot be determined 92 29 70 Cannot be determined ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x and units digit by y.Then,(10x + y) - (10y + x) = 639(x - y) = 63x - y = 7Thus, none of the numbers can be determined.
Number System Sum of two numbers is 15. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be? 10, 5 6, 9 9, 6 7, 8 10, 5 6, 9 9, 6 7, 8 ANSWER DOWNLOAD EXAMIANS APP