Number System If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ? 146 124 179 163 146 124 179 163 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
Number System If the following fractions 7/6, 6/7, 5/3, 8/13 and 6/5 are arranged in descending order, which will be the last in the series? 8/13 6/13 9/13 7/13 8/13 6/13 9/13 7/13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 7/6 = 1.166, 6/7 = 0.857,5/3 = 1.66,8/13 = 0.615,6/5 = 1.2Therefore, 5/3 > 6/5 > 7/6 > 6/7 > 8/13
Number System A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits? 12 7 8 60 12 7 8 60 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x * 3/5 * 1/5 = 9x = 75 => 7 + 5 = 12
Number System What should come in place of the question mark (?) in the following number series ? 888 888 444 148 ? 7.4 33 29 37 35 33 29 37 35 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 888 ÷ 1 = 888888 ÷ 2 = 444444 ÷ 3 = 148148 ÷ 4 = 3737 ÷ 5 = 7.4
Number System The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is? 4 1 6 Nothing can be said. 4 1 6 Nothing can be said. ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (10x + y) – (10y + x) = 54x – y = 6
Number System If the of a two-digit number are interchanged, the number so obtained is greater than the original number by 18. If the sum of the two digits of the number is 14. What is the original number ? 66 64 68 62 66 64 68 62 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be 10x + y.No. formed by the interchange of digits = 10y + xWe have y - x = 2 .........(i)y + x = 14 .........(ii)Solving (i) and (ii), we get x = 6, and y = 8∴ the no. is 68.
EXAMIANS