The greatest number which when divided by 989 and 1327 leaves remainder 5 and 7 respectively is

The sum of the digits of a 2 digit number is 9. When 27 is added to the number, the digits get interchanged. Find the number.

What value will come in place of question mark (?) in the questions given below?
6⁹ × 36 ÷ 7776 = 6^? ÷ 216 

Direction : Each of the questions below consists of a question and two statements numbered I and II are given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and
Give answer
(A) If the data in statement I alone are sufficient to answer the question, while the data statement II alone are not sufficient to answer the question.
(B) If the data in Statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
(C) If the data in statement I alone or in Statement II alone are sufficient to answer the question.
(D) If the data in both the statement I and II are not sufficient to answer the question.
(E) If the data in both the statement I and II together are necessary to answer the question.

What is the two-digit number?
I. Sum of the digits is 6.
II. Digit in the ten’s place is double the digit in the unit’s place.

When the integer n is divided by 7, the remainder is 3. What is the remainder if 5n divided by 7?

The number of pairs of natural numbers the difference of whose squares is 45 will be –

A number is doubled and 9 is added. If the resultant is tripled, it becomes 75. What is that number? 

If the product of four consecutive natural numbers increased by a natural number p, is a perfect square; then the value of p is: