Number System (√6 + 1)² = ? + 2√6 6 8 5 7 6 8 5 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (√6 + 1)² - 2√6= (√6)² + 2 x √6 + 1 + 1² - 2√6= 6 + 2√6 + 1 - 2√6 = 6 + 1 = 7
Number System The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference of the two digits of the number ? 4 3 1 2 4 3 1 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (10x + y) - (10y + x) = 36,9(x - y) = 36/9 = 4
Number System The difference between 8% of a number and 3% of the same number is 39. What is 2.8% of that number ? 27.84 21.84 25.84 24.84 27.84 21.84 25.84 24.84 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x(8 - 3)% = 39x = 3900/5 = 780∴ 2.8% of 780= 780 x 2.8/100 = 21.84
Number System Which choice provides the answer : If 2 + 3 = 10, 6 + 5 = 66, 7 + 2 = 63, 9 + 7 = 144 then, 8 + 4 = ? 88 96 114 102 88 96 114 102 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 96
Number System The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers? 35/8 7/32 1/35 12/35 35/8 7/32 1/35 12/35 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.
Number System The peresent age of the father and the son are in the ratio of 8:3. After 12 years the ratio of their ages will be 2:1. What is the sum of the present age of the father and the son ? 66 years 67 years 69 years 68 years 66 years 67 years 69 years 68 years ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the present age of the father be 'x' and that of the son be 'y'. Then x/y = 8/3∴ 3x = 8y Further, x + 12/y + 12 = 2/1 ∴ x + 12 = 2y + 24 ∴ x - 2y = 12 ......(ii)From eqn (i) and (ii), x = 48, y = 18 ∴ sum = 66 yrs.