For All Your Quant Queries

Let *aabb* be a 4-digit number (a≠0). How many such numbers are perfect squares?

A) 0 B) 1 C) 2 D) 3 E) 4

Written by Implex

July 3, 2009 at 4:55 pm

Posted in Algebra, Mock Quant, Number Thoery, Problem of the week, Problems

Tagged with cat, IIM, Number Theory, Online CAT, Perfect Squares, quant

Subscribe to comments with RSS.

- Para Jumbles 19.08.09
- Fill In the blanks 08.08.09
- Fill In The Blanks 05.08.09
- Para Jumbles 05.08.09
- Para Jumbles 04.08.09

- Algebra
- Announcements
- Arithmetic
- CAT 2008
- CAT 2009
- Combinatorics
- concepts
- Conundrum
- Coordinate Geometry
- Data Sufficiency
- Functions
- General
- Geometry
- IIM Interview Experiences
- Inequalities
- Mock Cat
- Mock Quant
- Number Thoery
- Online CAT
- Power Play
- Prime Numbers
- Probability
- Problem of the week
- Problems
- Tips

- Problem of the day 26.08.09
- Problem of The day 06.08.09
- Problem of the Day 30.07.09
- Bonus QUestion 28.07.09
- Problem of the day 28.07.09

- Art of Problem Solving
- CAT Material (free)
- Math Lessons
- Pagal Guy
- Pagalbille
- Test Funda
- Verbal Logic

vinit on Bonus Question 26.07.09 | |

harsh bansal on The Funny Side of Mathema… | |

KT on IIM A Interview Experienc… | |

tushar on Concept 3 Circle and Triangles… | |

ankeshgupta09 on Problem of the Day 30.07.… |

- 122,697 hits

- RT @PandaJay: Capitalism is great when there's no competition. But when there is competition, Socialism is soooooo much better 😁 https://t.… 1 day ago
- RT @ShivAroor: Unemployment levels soaring under Modi. https://t.co/mWh7OkQVk0 3 days ago
- RT @unurag: Cheapster @ravishndtv uses even tragedy of Jaya's ill health to make snide remarks at Amitabh Bachchan. https://t.co/w2LbdZW5ar 4 days ago
- RT @Nesenag: Support #Jayalalithaa you are supporting a cult leader, support Modi you are a Bhakt but being a doormat of fake Gandhis makes… 4 days ago
- RT @abhijitmajumder: Tariq Anwar made up Murthal rapes. All media lies abt church attacks fell flat. Intelligentsia used both, never retrac… 4 days ago

%d bloggers like this:

the answer is option (B) 1

coz..d number shud in d form of 11x^2…

aa=11..

den bb must be in d form a0b=704

…

simply (88)^2=7744

anupJuly 3, 2009 at 6:32 pm

yeah right

it came in CAT 2007

RahulJuly 3, 2009 at 6:38 pm

There is a neat trick to it.

(25±x)², (50±x)², (100±x)² have last two digits of the same form.

now only the square of 12 has last two digits which are same

hence, the squares of 12, 38, 62 and 88 have 44 as last two digits.

only 88 is a multiple of 11.

Hence 1 solution

RahulJuly 3, 2009 at 9:05 pm

thnx rahul

anupJuly 4, 2009 at 6:10 am