Find the number of ordered pair of positive integers (a.n) such that aⁿ⁺¹ − (a + 1)ⁿ = 2001

11.6 +9.280.464 – 0.2828 + 0.07 - ?

Mohan is a carpenter who specialises in making chairs. For every assignment he undertakes, he charges his commission and cost.His commission is fixed and equals Rs.560 per assignment while the cost equals Rs.2n² where n is the total number of chairs he makes. If for a certain assignment the average cost per chair is not more than Rs.68       then the minimum and maximum possible number of chairs in the assignment are, respectively.

(?)²+ (123)² = (246)² - (99)²- 2462

(3)⁸ X (3)⁴ = ?

A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have ?

The L.C.M of 3, 2.7 and 0.09 is:

1201.964 – (0.121 x 0.231 x 0.191) =?

If there are 10 positive real number n₁ < n₂ < n₃ ... < n₁₀. How many triplets of these numbers (n₁, n₂, n₃), (n₂, n₃, n₄), .... can be generated such that in each triplet the first number is always less than the second number, and the second number is always less than the third number?