SNAP Progressions and Series Questions

An arithmetic progression is such that the 12th term is 42. What should the common difference be, such that the product of the first, second and 33rd terms is maximum?

The sum of 2 digit numbers that are divisible by either 5 or 7 is

The sum of all natural numbers less than 201 which are divisible by either 5 or 6 but not by both is?

A ball is dropped from a height of 200 meters. After striking the floor it re-bounces to $$\frac{4}{5}th$$ of the height from where it fell. The total distance it travels before coming to rest is _____

The sum of all two digit numbers that give a remainder 2 when they are divided by 7 is _______

What is the maximum sum of the terms in the arithmetic progression $$25, 24\frac{1}{2}, 24, ..............?$$

The total number of Natural numbers that lie between 10 and 300 and are divisible by 9 is

The price of Darjeeling Tea (in rupees per kilogram) is 100 + 0.1n, on the nth day of a nonleap year (n = 1, 2, 3, ... 100) and then remains constant. On the other hand the price of Ooty tea (in rupees per kilogram) is 85 + 0.15n, on the nth day (n = 1, 2, ..., 365). On which date of that year will the prices of these two varieties of the tea be equal?

The first two terms of a geometric progression add up to 12. The sum of the third and the fourth terms is 48. If the terms of the geometric progression are alternately positive and negative, then the first term is

From a book, a number of consecutive pages are missing. The sum of the page numbers of these pages is 9808. Which pages are missing?

The 288th term of the sequence a, b, b, c, c, c, d, d, d, d… is

Study the series carefully 'B 8 4 C R M 9 P D K W F A 2 E J 7 X U Q H L T Y 6 G S'. If it is possible to make a meaningful word with the ninth, the sixteenth, the twenty-fourth and the twenty-seventh letters from the left in the above series, which of the following will be the first letter of the word? If no such word can be made, give 'X' as an answer. If more than one such word can be made, give 'M' as an answer.

Each of the series S1 = 2 + 4 + 6 + ......... and S2 = 3 + 6 + 9 + ......... is continued
to 100 terms. Find how many terms are identical.

A man earns Rs 20 on the first day and spends Rs 15 on the next day. He again
earns Rs 20 on the third day and spends Rs 15 on the fourth day. If he continues to save like
this, how soon will he have Rs 60 in hand?