Register

CAT 2003 | Question: 2-61

• edited by
1,089 views
0 0 votes

Let $n (>1)$ be a composite integer such that $\sqrt{n}$ is not an integer. Consider the following statements

  1. $n$ has a perfect integer–valued divisor which is greater than $1$ and less than $\sqrt{n}$.
  2. $n$ has a perfect integer–valued divisor which is greater than $\sqrt{n}$ but less than $n.$

Then,

  1. Both A and B are false
  2. A is true but B is false
  3. A is false but B is true
  4. Both A and B are true

Please log in or register to answer this question.

Voting & Accepting an answer helps improve the community
← Previous · CAT 2003 | Question:...Next → · CAT 2003 | Question:...
← Previous in category · CAT 2003 | Question:...Next in category → · CAT 2003 | Question:...
Position:
Show:

Related questions

0 0 votes
1 answers 1 answer
2.6k
2.6k views
go_editor asked May 5, 2016
2,594 views
CAT 2003 | Question: 2-99
Answer the questions on the basis of the information given below.The seven basic symbols in a certain numeral system and their respective values are as follows:$\text{I} ...
0 0 votes
1 answers 1 answer
2.0k
2.0k views
go_editor asked May 5, 2016
2,003 views
CAT 2003 | Question: 2-98
Answer the questions on the basis of the information given below.The seven basic symbols in a certain numeral system and their respective values are as follows:$\text{I} ...
1 1 vote
1 1 answer
1.7k
1.7k views
go_editor asked May 5, 2016
1,731 views
CAT 2003 | Question: 2-94
What is the sum of all two-digit numbers that give a remainder of $3$ when they are divided by $7?$$666$$676$$683$$777$
0 0 votes
1 answers 1 answer
1.7k
1.7k views
go_editor asked May 5, 2016
1,705 views
CAT 2003 | Question: 2-77
What is the remainder when $4^{96}$ is divided by $6?$ $0$$2$$3$$4$
0 0 votes
2 2 answers
6.6k
6.6k views
go_editor asked May 4, 2016
6,579 views
CAT 2003 | Question: 2-52
In a coastal village, every year floods destroy exactly half of the huts. After the flood water recedes, twice the number of huts destroyed are rebuilt. The floods occurr...