List of top Quantitative Ability and Data Interpretation Questions on Divisibility and Remainder asked in XAT

Directions: Each of the following questions is followed by two statements. Mark option (1) if the question can be answered using statement I alone. Mark option (2) if the question can be answered using statement II alone. Mark option (3) if both statements I and II together are needed to answer the question. Mark option (4) if the question cannot be answered even using both statements together.

Is x/y prime?

I. x is divisible by 3 but not by 9.
II. y is a multiple of 6.

Let x, y and z be three positive integers satisfying \(y = 3x\), \(z = 4x\), and \(x + y + z = 3k\), where k is an integer. Which of the following is the smallest value of k for which x, y and z are even numbers?

N = aebfcg is a six digit number where a, b, c, e, f, g are its six digits. If \(a = e\), \(b = f\) and \(c = g\), which of the given statements is NOT correct?

When \((629)^{24}\) is divided by 21, find the remainder.