Number System MCQs

A naughty boy Amrit watches a Sachin Tendulkar inning and acts according to number of runs he sees Sachin scoring. The details are:
1 run - place one orange in the basket
2 runs - place one mango in basket
3 runs - place a pear in the basket
4 runs - remove a pear and a mango from the basket
One fine day, at the start of the match, the basket is empty. The sequence of runs scored by Sachin in that inning are given as 11232411234232341121314. At the end of the above inning, how many more oranges were there compared to mangoes inside the basket ? (The Basket was empty initially).

The HCF and LCM of 2⁴, 8², 16², 20³ are :

The value of 5² + 6² + .... + 10² + 20² is :

What is the unit digit in the product (3⁶⁵ × 6⁵⁹ × 7⁷¹)?

Consider the following statements for the sequence of numbers given below :
11, 111, 1111, 11111, .....
1. Each number can be expressed in the form (4m + 3), where m is a natural number.
2. Some numbers are squares.
Which of the above statements is/are correct ?

If x - y = 8, then which of the following must be true ?
I. Both x and y are positive.
II. If x is positive, y must be positive.
III. If x is negative, y must be negative.

What is least possible number when it is divided by 13 leaves 8 and when divided by 7 leaves remainder 6?

The digit in the unit place of the number represented by (7⁹⁵ - 3⁵⁸) is :

The number of prime factors in the expression 6¹⁰ × 7¹⁷ × 11²⁷ is equal to :