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An Identity Card has the number ABCDEFG, not necessarily in that order, where each letter represents a distinct digit (1, 2, 4, 5, 7, 8, 9 only). The number is divisible by 9. After deleting the first digit from the right, the resulting number is divisible by 6. After deleting two digits from the right of original number, the resulting number is divisible by 5. After deleting three digits from the right of original number, the resulting number is divisible by 4. After deleting four digits from the right of original number, the resulting number is divisible by 3. After deleting five digits from the right of original number, the resulting number is divisible by 2. Which of the following is a possible value for the sum of the middle three digits of the number?
A 6 digit number always formed by repeating 3 digits like xyzxyz is: a) Always divisible by 7 b) Divisible by 7 and 3 c) Always divisible by 11 d) Divisible by 11 and 7 Which of the above statement is correct?
A, B, and C are divisible by 2. C, D, and E are divisible by 9. B and D are divisible by 3 Conclusion - I 6C is divisible by 54 Conclusion - II B and D are divisible by 6 Conclusion - III 4B + 2E is divisible by 4 Which of the above conclusions logically follows/follow from the given statements?
Let XYZ be a 3-digit number. Let S = XYZ + YZX + ZXY. Which of the following statements is/are correct? 1. S is always divisible by 3 and (X + Y + Z) 2. S is always divisible by 9 3. S is always divisible by 37 Select the correct answer using the code given below:
Let X is divisible by 2 and Y is divisible by 6 then which of the following statement is correct regarding (X + Y)? Statement 1: It is divisible by 2 Statement 2: It is divisible by 3 Statement 3: It is divisible by 4
There are two rows, each containing 3 numbers. Below are some rules to be used to get the resultant number for each row separately. Use the rule from left to right for each row and find the answer to the question. Rule: 1. If an even number is followed by an even number, then the first number will be subtracted from the second. 2. If an odd number is followed by an odd number, then both will be added. 3. If an odd number is followed by an even number, then the even number will be subtracted from the square of the odd number. 4. If an even number is followed by an odd number, then the odd number will be subtracted from the even number. Row I: 9,11, 34 Row II: 16, 9, 8 What is the difference between the resultant numbers in the first row and the second row
Which of the following statement/statements are correct. If a, b and c are the natural numbers then the expression (7xy/z – 3yx/z + 2yxz-1) is divisible by? I. Divisible by 2 II. Divisible by 3 III. Divisible by 6
1) Unit digit of 534 + 744 is 12 2) Sum of the squares of any two number is always divisible by 2 3) Number of the pattern xyzxyz is always divisible by 11 and 7 Which of the above statement is correct?
The number 3 × 5 × 7 × 11 + a, where a is the odd number is: a) Always prime number b) Always even number   c) Always odd number d) Composite number
Given is a statement followed by two assumptions numbered I and II. Consider the statement and the following assumptions and decide which of the assumptions is/are implicit in the statement. Statement: Sustainability can be defined as the practice of meeting the needs of the current generation without degrading or destroying the natural resources (e.g. water, soil, biodiversity, oil, minerals.) Assumptions: Our lives and economies are dependent on natural capital, which is made up of these natural resources and natural services, and the energy provided by the sun. Just as every investor knows, we should invest our capital and live off on the interest, it provides. To live sustainably, we need to do the same: protect our natural capital and live off our biological income.