Number System In how many different ways can the letters of the word 'DETERMINE' be arranged ? 60480 63480 61480 62480 60480 63480 61480 62480 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. of arrangements = 9! / 3! Because, E comes 3 times = 60480
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 68 years 69 years 66 years 67 years 68 years 69 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.
Number System A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15? 9 13 11 1 9 13 11 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 45 + 31 = 76/15 = 1 (Remainder)
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? 7/32 35/8 1/35 12/35 7/32 35/8 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 7.98 x 3.75 + 1.28 x 15.5 = ? 47.765 48.765 46.765 49.765 47.765 48.765 46.765 49.765 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 29.925 + 19.84 = 49.765
Number System When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number? 101 103 99 97 101 103 99 97 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x2 - 732 = 5280 x2 = 5280 + (70+3)2 = 5280 + 4900 + 420 + 9 = 10609= 10000 + 2(100)(3) + 32 = (100 + 3)2x = 100 + 3 = 103.
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