Number System Sum of the digits number is 8 and their product is 12. Find the difference between the digits? 2 None 4 6 2 None 4 6 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 the sum of four consecutive numbers is 370, which the following is the third lowest number among them 92 91 90 89 92 91 90 89 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the four consecutive numbers be x, (x + 1), (x + 2), (x + 3) thenx + (x + 1) + (x + 2) + (x + 3) = 370= 4x + 6 = 370∴ x = 364/4 = 91∴ third lowest number among them = x + 1= 91 + 1 = 92
Number System Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively? 61 75 67 65 61 75 67 65 ANSWER DOWNLOAD EXAMIANS APP
Number System How many numbers up to 100 are divisible by 7? 93 100 14 107 93 100 14 107 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 100/7 = 14 2/7 => 14 Numbers
Number System Two third of three- fifth of one fourth of a number is 24, what is 30% of that number? 72 69 90 42 72 69 90 42 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x * 2/3 * 3/5 * 1/4 = 24x = 240240 * 30/100 = 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 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 in statement (I) alone is sufficient to answer the question while that in statement (II) 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 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 in statement (I) alone is sufficient to answer the question while that in statement (II) alone is not sufficient. 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)
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