Number System MCQs

Which of the following statement(s) is/are TRUE? I. The total number of positive factors of 72 is 12. II. The sum of first 20 odd numbers is 400. III. Largest two digit prime number is 97.

Nathu and Buchku each have certain number of oranges. Nathu says to Buckhu, "If you give me 10 of your oranges, I will have twice the number of oranges left with you". Buckhu replies, "If you give me 10 of your oranges, I will have the same number of oranges as left with you." What is the number of oranges with Nathu and Buckhu, respectively?

a, b, c and d are negative integers. If a^b + a^c + a^d = 0 then a × b × c × d is always

The largest number that exactly divides each number of the sequence 1⁵ - 1, 2⁵ - 2, 3⁵ - 3, ....., n⁵ - n, ..... is :

What number should replace M in this multiplication problem ?

7⁶ⁿ - 6⁶ⁿ, where n is an integer > 0, is divisible by :

The highest power of 17 which can divide exactly the following:
(18² - 1) (18⁴ - 1) (18⁶ - 1) (18⁸ - 1) . . . . (18¹⁶ - 1) (18¹⁸ - 1) is :

If p³ - q³ = (p - q) (p - q)² - xpq, then find the value of x :

If 1³ + 2³ . . . . . . + 10³ = 3025, then the value of 2³ + 4³ . . . . . . + 20³ is: