CAT 2009 : practice problem on Geometry

If the difference between two consecutive angles of a convex pentagon is a constant integer, then the number of possible different values of the smallest angle is

1.   13
2.   41
3.   61
4.   36
5.   29

For more problems visit mindinsight problem of the day

[category quant]

CAT 2009 : Quant practice problems

N is a five-digit positive integer. A six-digit integer P is constructed by placing a 1 at the right-hand end of N. A second six-digit integer Q is constructed by placing a 1 at the left-hand end of N. If P is three times Q, determine the value of N.

1. 42857
2. 48257
3. 42587
4. 48527

For a detailed solution and more such problems visit mindinsight problem of the day

Problem of 29 July
Find the largest positive term of the H.P whose first two terms are 2/5 and 12/23.

1.   5
2.   6
3.   7
4.   8

For a detailed solution and more such problems visit mindinsight problem of the day


[category quant]

CAT 2009 : Problem of the day

A triangle has sides of length a,b and c. Then the value of a/(b+c) + b/(c+a) + c/(a+b) cannot exceed

a) 3/2
b) 2
c) 1
d) 1/2

For solution and more such problems visit mindinsight problem of the day

[category quant]

CAT 2009 : Quant problem of the day - Theory of Equations

How many integers n satisfy the equation ( n² - n - 1)^{n + 2} = 1 ?

1. 1
2. 2
3. 3
4. 4
   
5. 5

For solution and more such problems visit mindinsight problem of the day.

[category quant]

CAT 2009 : Quant problem of the day : Geometry

Given a triangle which is divided into four pieces with areas as shown, then the area A equals:

1.   10
2.   12
3.   18
4.   22

For solution and more such problems visit mindinsight problem of the day.

[category quant]

All India test series for CAT 2009 : AITS-MCAT2 : schedule announced

AITS-MCAT2 Revised Schedule

Saturday, August 1

SLOT 1      3 p.m. to 7 p.m.

SLOT 2      10 p.m. to 2 a.m.

Sunday, August 2

SLOT 1      8 a.m. to 12 p.m.

SLOT 2      3 p.m. to 7 p.m.

~AITS-MCAT2 is FREE and Open for ALL~

NOTE: 1. AITS-MCAT2 can be taken in any of the above mentioned slots. 2. Test can be started anytime within the mentioned Slots. Example: If a slot is from 3 p.m. to 7 p.m., then test taker can start the test at most by 7 p.m. for that slot. If started at 7 p.m., the test will continue for next 2 hrs 30 mins uninterrupted. 3. For Offline Test Takers, AITS-MCAT2 PDF will be available only on SUNDAY. [category prepare for CAT 2009]

CAT 2009 : Quant practice - Number Theory

Find the remainder when ∑n![(n+1)(n+2) -1] where n=0 to 20 is divided by 294

1. 3
2. 0
3. 290
4. 291
5. None of these

For solution and more such problems visit mindinsight problem of the day.

[category quant]

CAT 2009 : Quant problem of the day - Inequalities

Find the smallest integer n such that √n - √(n - 1) < 0.01.

1.   2500
2.   2335
3.   2501
4.   2336

For detailed solution and more such problems visit mindinsight problem of the day.

[category quant]

CAT 2009 : Quant problem on Mensuration

A tower has the following shape: a truncated right circular cone one with radii 2R (the lower base) and R ( the upper base) and height R bears a right circular cylinder whose radius is R, the height being 2R. Finally a semisphere of radius R is mounted on the cylinder. Suppose that the cross-sectional area S of the tower is given by f(x) where x is the distance of the cross-section from the lower base of the cone.
The range of f(x) is

1. [0,4πR²]
2. [πR²,4πR²]
3. [0,πR²]
4. [πR²,3πR²]

For solution and more such problems visit mindinsight problem of the day

[category quant]

CAT 2009 : Quant problem of the day - Sequences, Series and Progressions

If sum of n terms of an AP is given by S_n = (a-1)n³+(b-2)n²+(c-3)n where a,b,c are independent of n, then find the value of T_n

1. b(2n-1)-4n+c-1
2. a(2n-1)-4n+c-b
3. a(2n-1)-4n+b-1
4. c(2n-1)-4n+a-1

For solution and more such problems visit mindinsight problem of the day


[category quant]

CAT 2009 : Quant problem of the day

If positive real numbers a, b, c, d satisfy the following system of equations:
                 a + b + c + d = 12
                 abcd = 27 + ab + ac + ad + bc + bd + cd.
which option is correct ?

1.   a=2
2.   a=4
3.   a=3
4.   a=5

For solution and more such problems visit mindinsight problem of the day.

[category quant]

All india test series for CAT 2009 - 3000 page views on the same day and still counting.....

Today we launched the All India Test Series for CAT 2009. The test started at 9AM, and by 6 PM we had 3000 page views, and around 300 people taking the test.
Good response indeed !

And we also got some good feedback from our users. They are just pouring in. Here are a few.

"really it's a great initiative by mindinsight and that makes it far better online portal than its other counterparts.No doubt about the level of questions and impressive online simulation for the real cat.Hat's off to the creator of this test series"  - says suraj08

"the test was fabulously conducted.. I felt at ease while taking the test unlike other online mocks.. Kudos to mindinsight time for it.... "  - says anjanakarthikece

This was an awesome show by our team who worked hard for putting up a good test paper. Cheers !!!

Being a Sunday, when historically visits to our site has been lowest, we did not expect such a good response. Another interesting point to note is the geographical spread of from where our users visited our site today.
Delhi tops with 100 users , then Chennai with 98, and Kolkata with 92 comes third. Bangalore finished 4th with 63 people visiting our site (till 5PM).
Other major cities to mention are Mumbai, Hyderabad, Pune, Nagpur, Lucknow, Amritsar, Ahmedabad, Bhopal, Jaipur, Chandigarh, Patna, Bhubhaneshwar, Cochin, Gurgaon.
We also got visits from small cities like VIjaywada, Guwahati, Indore, Coimbatore, Madurai, Aurangabad, Jamshedpur, Hardwar, Panipat, Kanpur, Mathura, Ludhiana, Trivandrum, Allahabad, Faridabad.


Its awe-inspiring to find that we reach so many people all across the country.

 

 

Online All India Test Series #1 for CAT 2009 Launched.

All India Test Series for CAT 2009 launched today, July 19th 2009.

Go to the test series home.

The first test is absolutely free. Test starts at 9AM and will close at 8PM. You can also download the test and solve it offline, and then submit your scores later for percentile calculations.

-Team mindinsight

[category Prepare for CAT 2009]

CAT 2009 : Quant problem on speed distance and time

A man is walking across a railroad bridge that goes from point A to point B. He starts at point A, and when he is 3/8 of the way across the bridge, he hears a train approaching. The train's speed is 60 mph (miles per hour). The man can run fast enough so that if he turns and runs back toward point A, he will meet the train at A, and if he runs forward toward point B, the train will overtake him at B. How fast can the man run?

1. 15 mph
2. 20 mph
3. 10 mph
4. 25 mph

For a detailed solution and more such problems visit mindinsight problem of the day.

CAT 2009 : Quant problem on Number Theory

Find the largest number of consecutive positive integers whose sum is exactly 1000.

1. 5
2. 10
3. 16
4. 25
5. 30

For solution and more such problems visit mindinsight problem of the day

CAT 2009 : Quant practice - Inequalities

If a,b,c and d are the sides of a quadrilateral, then the minimum value of (a²+b²+c²)/d² is

1. 1
2. 1/2
3. 1/3
4. 1/4

For solution and more such problems visit mindinsight problem of the day.

CAT 2009:All India Test Series (AITS) : Online

Dear MiGht,

This week's updates are mentioned below:

ALL INDIA TEST SERIES:
All India Test Series has been specially designed to supercharge you to face CAT 2009 with sheer confidence. All the tests in AITS are prepared according to the latest CAT pattern and the questions are at par with the questions asked in previous CAT exams.
To find schedule and other details visit:
http://www.mindinsight.com/aits.jsp

Problem of the Day:

The area bounded by min(|x|,|y|) =2 and max(|x|,|y|)=4 is

a)8 sq. units
b)16sq. units
c)24 sq. units
d)32 sq. units

View Solution

Cheers,
Team MindInsight

Useful Links:

Take Miscellaneous Quizzes!!!

Online CAT 2009 Test Papers...

CAT 2009 DI Quiz...

WIN MindInsight T-SHIRTS!!!

Organize and Share your Notes...

How to crack Quants (CAT 2009) ?

IIMite unravels CAT secrets

Measure Your Pace of Preparation

Boost Your CAT Prep

Master the Art of Writing

GD & PI Tips

Download Last Years CAT Papers

Post Your CAT Queries


 

CAT 2009 : Quants practice, more problems.

Find the smallest integer that is divisible by all integers from 2 to 13 except for one pair of two consecutive integers in this range.

1.   60060
2.   96096
3.   25740
4.   24024

For solution and more such problems visit mindinsight problem of the day

Quants practice for CAT 2009

Find the value of x from the equation given below:

| x + 1 | - | x | + 3| x - 1 | - 2| x - 2 | = x + 2

1.   {-2} U (2, infinity)
2.   [2, infinity)
3.   (- infinity, -2)
4.   {-2} U [2, infinity)

For solution and more such problems see mindinsight problem of the day

CAT 2009: MindInsight Weekly Update!!!

Dear MiGht,

This week's updates are mentioned below:

Quant BOW:
This week's Quant BOW checks your preparation level in various Quant Topics:

Take Quant BOW here:
http://www.mindinsight.com/bowhome.action

Verbal BOW:
Miscellaneous topics of Verbal Section are covered in this week's Verbal-BOW.

Visit Verbal BOW at the below link:
http://www.mindinsight.com/testcenter/verbalbow.action

Problem of the Day:

Find the smallest integer whose first digit is 1 and which has the propertythat if this digit is transferred to the end of the number, the number is tripled.

(a) 1358713587
(b) 142857142857
(c) No such number exists
(d) None of these

View Solution

DI BOW:
This week check your strength in Logical Reasoning in DI-BOW.

Visit DI BOW at the below link:
http://www.mindinsight.com/testcenter/dibow.action

Cheers,
Team MindInsight

Useful Links:

Take Miscellaneous Quizzes!!!

Online CAT 2009 Test Papers...

CAT 2009 DI Quiz...

WIN MindInsight T-SHIRTS!!!

Organize and Share your Notes...

How to crack Quants (CAT 2009) ?

IIMite unravels CAT secrets

Measure Your Pace of Preparation

Boost Your CAT Prep

Master the Art of Writing

GD & PI Tips

Download Last Years CAT Papers

Post Your CAT Queries


 

Quants problem for CAT 2009 , continued....

When 7179 and 9699 are divided by another natural number N, remainder obtained is same. How many values of N will be ending with one or more than zeroes?

For a detailed solution and more problems visit mindinsight.com.

CAT 2009 :More questions on Remainder theorem...

What is the remainder when (22^33+10^35) is divided by 45?

For solution and more such problems visit mindinsight forum.

CAT 2009 : Question on Remainder theorem...

Find the remainder when 2222⁵⁵⁵⁵ + 5555²²²² is divided by 7 ?

Solution and explanation:
Try to use this simple concept : aⁿ + bⁿ  is divisible by a + b when n is odd, and also aⁿ - bⁿ  is divisible by a - b when n is even or odd.

For Detailed explanation see Mindinsight Quant Forum

CAT 2009 : Quant Problem of the day

From the money that Ajay has, he gives as much to Bunti as much as Bunti has with him. Bunti then gives as much as money to Chintu as much as Chintu has with him. Finally Chintu gives as much money to Ajay as much as Ajay had before Chintu gave hime the money. How much money did each of the three friends Ajay, Bunti and Chintu have with them initially if between them they have totally Rs.48 and after the transactions each of them have equal amounts?

1.   24, 14, 10
2.   20, 16, 12
3.   22, 14, 12
4.   26, 12, 10

For answer, visit mindinsight problem of the day.
Also see Verbal Shot a day

CAT 2009 : Quant Problem of the day

Given 36x⁴ + 36x³ - 7x² - 6x + 1 = 0. Which of the following can be the solution?

1.   - 1/3
2.   - 1/2
3.   1/6
4.   1
5.   None

For answer and detailed explanation visit Mindinsight problem of the day.

Related Links

• Problem of the day archive
• RC Challenge
• Free MOCK Tests
• Verbal Shot a day
  

CAT 2009 : Quant Problem of the day

How many ways are there to express 1000000 as a product of exactly three integers greater than 1?
(For the purpose of this problem, abc is not considered different from bac)

1.   784
2.   738
3.   139
4.   123
5.   114

For answer and detailed explanation visit Mindinsight problem of the day.

Related Links

• Problem of the day archive
• RC Challenge
• Free MOCK Tests
• Verbal Shot a day