CAT QUANT NUMBER SYSTEM 4

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Question 1:

Of 128 boxes of oranges each box contains at least 120 and at most 144 oranges. The number of boxes containing the same number of oranges is at least:

Question 2:

The integers 1, 2,….,40 are written on a blackboard. The following operation is then repeated 39 times. In each repetition any two numbers say a and b currently on the black board are erased and a new number (a+b-1) is written. What will be the number left on the board at the end?

Question 3:

How many natural numbers up to 200 are divisible by 2 and 3 both?

Question 4:

The sum of two numbers is 100 and their difference is 37. The difference of their square is:

Question 5:

How many times a type writer must press the keys of the keypad to type all the natural numbers from 1 to 1000?

Question 6:

A change making machine contains one-rupee, two-rupee and five-rupee coins. The total number of coins is 300. The amount is RS 960. If the number of one-rupee coins and two-rupee coins are interchanged, the value comes down by Rs 40. The total number of 5 rupee coins is:

Question 7:

In an examination a student answered 15 questions correctly and secured 40 marks. If there were two types of questions ( 2 marks and 4 marks questions) , how many questions of 2 marks did he answer correctly?

Question 8:

All the page numbers of a book are added beginning with page 1. However one page number was added twice by mistake. The sum obtained was 1000. Which page number was added twice?

Question 9:

1, 11,21,1211, ?What will come in place of question mark?

Question 10:

What is the average of 1st 20 multiples of 9?