Number System Two-third of a positive number and 25/216 of its reciprocal are equal. The number is: 12/5 25/144 5/12 144/25 12/5 25/144 5/12 144/25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,2/3 x = 25/216 * 1/xx2 = 25/216 * 3/2 = 25/144 x = 5/12
Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 116 112 120 124 116 112 120 124 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 Of the three numbers, second is twice the first and is also thrice the third. If the average of the three numbers is 44, the largest number is 38 44 72 56 38 44 72 56 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 72
Number System The sum of the numbers is 264. If the first number be twice the second and third number be one-third of the first, then the second number is: 54 48 72 84 54 48 72 84 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the second number be x. Then, first number = 2x and third number = 2x/3.2x + x + 2x/3 = 26411x/3 = 264x = 72
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 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 even in both statements (I) and (II) together is not 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 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 even in both statements (I) and (II) together is not 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 Four-fifth of a number is 10 more than two-third of the same number. What is the number? 89 91 35 75 89 91 35 75 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 75
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