Number System The sum of three consecutive even numbers is 252. What is the sum of the smallest and the largest numbers? 169 168 170 171 169 168 170 171 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 168
Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 1/289 289 289/290 290/289 1/289 289 289/290 290/289 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289
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 One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number? 5 9 3 7 5 9 3 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x/2 – x/3 = 6=> x =63 + 6 = 9
Number System A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 4 rows or 5 rows or 6 rows, then no tree will be left. Find the least 120 30 60 240 120 30 60 240 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The least number of trees that are required = LCM(4, 5, 6) = 60.
Number System Subtracting 30 from a number, the remainder is one fourth of the number. Find the number? 40 22 1/2 30 45 40 22 1/2 30 45 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/4 x = 30 => x = 40
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