Number System Which is the smallest fractions among the following ? 27/31 11/13 13/15 15/19 27/31 11/13 13/15 15/19 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 11/13 = 0.8461,13/15 = 0.8666,27/31 = 0.87,15/19 = 0.789
Number System Sum of the digits number is 8 and their product is 12. Find the difference between the digits? 6 4 None 2 6 4 None 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4
Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 124 112 116 120 124 112 116 120 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a + b = 16 Therefore, (a+b)² = (16)² = 256 a² + b² + 2ab = 256Therefore, a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120
Number System 384×12×2=? 8465 9216 6123 7487 8465 9216 6123 7487 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 9216
Number System What is a two-digit number if the ratio of the digit at ten's place to the digit at unit's place is 4 : 3 ? (I) The sum of the digits of a two-digit number is 14. (II) The digit at unit place is 75% o If the data in statement (II) alone is sufficient to answer the question, while that in statement (I) alone is not sufficient. If the data even in both statements (I) and (II) together is not sufficient to answer the question. If the data in statement (I) alone is sufficient to answer the question while that in statement (II) alone is not sufficient. If the data either in statement (I) alone or in statement (II) alone is sufficient to answer the question. If the data in statement (II) alone is sufficient to answer the question, while that in statement (I) alone is not sufficient. If the data even in both statements (I) and (II) together is not sufficient to answer the question. If the data in statement (I) alone is sufficient to answer the question while that in statement (II) alone is not sufficient. If the data either in statement (I) alone or in statement (II) alone is sufficient to answer the question. ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y∴ 3x = 4y ......(1)From (I),x + y = 14 .....(2)Solving equations (1) and (2),x = 8, y = 6∴ Number = 86 From (II)y = 75/100 x x ∴ 3x = 4y.Which is the same as eqn (1)
Number System The sum of three consecutive even numbers is 252. What is the sum of the smallest and the largest numbers? 171 169 170 168 171 169 170 168 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 168
EXAMIANS