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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, 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 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
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
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?
 Two Statements are given followed by two Conclusions :  Statements :  All numbers are divisible by 2. All numbers are divisible by 3.  Conclusion-I : All numbers are divisible by 6. Conclusion-II : All numbers are divisible by 4. Which of the above Conclusions logically follows/follow from the two given Statements? 
In an NGO, every worker is given a UID number. A worker is associated with the women wing if and only if UID is divisible by 10 whereas a worker is associated with the old age wing if and only if UID is divisible by 6. Every number from 100 to 200 is assigned as UID. A worker is male if and only if UID is divisible by 4 and rests are female. How many males are associated with the women wing?
In an office, every employee is given a UID number. An employee is from the technical branch if and only if UID is divisible by 5 whereas an employee is from the adjudication branch if and only if UID is divisible by 7. Every number from 1 to 200 is assigned as UID. An employee is female if and only if UID is divisible by 6 and rests are male. How many females are in the adjudication branch?
What will be the remainder if x is divisible by 17? Statements : I. x is exactly divisible by 5. II. x is exactly divisible by 85. 
If X = a2n – b2n, Y = (a + b) and Z = (a + b) then which of the following statement is correct regarding X, Y and Z? Statement 1: X Is divisible by Y but not by Z Statement 2: X Is divisible by Z but not by Y Statement 3: X Is divisible by both Y and Z