For the following questions answer them individually
A truck travelling at 70 kilometres per hour uses 30% more diesel to travel a certain distance than it does when it travels at the speed of 50 kilometres per hour. If the truck can travel 19.5 kilometres on a litre of diesel at 50 kilometres per hour, how far can the truck travel on 10 litres of diesel at a speed of 70 kilometres per hour?
Consider a sequence of seven consecutive integers. The average of the first five integers is n. The average of all the seven integers is:
If x>2 and y>-1,then which of the following statements is necessarily true?
One red flag, three white flags and two blue flags are arranged in a line such that,
A. no two adjacent flags are of the same colour
B. the flags at the two ends of the line are of different colours.
In how many different ways can the flags be arranged?
Let S be the set of integers x such that:
1) 100 <= x <= 200
2) x is odd
3) x is divisible by 3 but not by 7.
How many elements does S contain?
Let S be the set of prime numbers greater than or equal to 2 and less than 100. Multiply all the elements of S. With how many consecutive zeroes will the product end?
Let x, y and z be distinct integers, that are odd and positive. Which one of the following statements cannot be true?
What is the number of distinct triangles with integral valued sides and perimeter 14?
Let N = 1421 * 1423 * 1425. What is the remainder when N is divided by 12?
The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?