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RE: Discussion Room : Quant
@rohitchopra01 said in Discussion Room : Quant:
If 76/(4+√7+√11)=p+q√7+r√11+s√77 then p+q+r+s=?
Multiply both sides by (4 + 71/2 + 111/2)
76 = (4 + 71/2 + 111/2)p + 71/2(4 + 71/2 + 111/2)q + 111/2(4 + 71/2 + 111/2)r + 771/2(4 + 71/2 + 111/2)s
Expand out:
76 = 4p + 71/2p + 111/2p + 71/24q + 7q + 771/2q + 111/24r + 771/2r + 11r + 771/24s + 111/27s + 71/211sNow get everything together:
76 = (4p+7q+11r) + 71/2(p+4q+11s) + 111/2(p+4r+7s) + 771/2(q+r+4s)Rewrite the LHS:
76 + 0 * 71/2 + 0 * 111/2 + 0 * 771/2 = (4p+7q+11r) + 71/2(p+4q+11s) + 111/2(p+4r+7s) + 771/2(q+r+4s)So we have the following system of equations:
4p + 7q + 11r = 76
p + 4q + 11s = 0
p + 4r + 7s = 0
q + r + 4s = 04 equations in 4 unknowns. Solve.

RE: Discussion Room : Quant
@swanandk12 I think it is infinity. As x increases the value of F(x) will keep on increasing. So possible values of F(x) are infinite. Hence the sum of possible values F(x) is infinity. Thoughts?

RE: Question Bank  100 Algebra Questions From Previous CAT Papers (Solved)
No one is perfect here yaar and if you find a mistake in a solution and know the right answer, least thing to do is to share the solution. That's how a forum (should) function right ? :)
Corrected the question. 
RE: Question Bank  100 CAT level questions on Time, Speed and Distance topic
t + t/12 = 9 (time taken in the return journey is 1/12th the time taken for the onward journey)
t = 108/13 = 8.30 hours
t + t/6 = 9.68 hours? 
CAT 2018 Syllabus and Study Material
CAT (Common Admission Test) is an online exam to test a candidate’s Verbal Ability (VA), Reading Comprehension (RC), Logical Reasoning (LR), Quantitative Ability (QA) and Data Interpretation (DI) skills. CAT is conducted by IIM. Students who aim to get admission in IIMs, IITs and IISc should have an excellent CAT score. They select students for their business administration and management programmes based on this score. CAT 2018 registrations started on 8th Aug 2018. The last date for registration is 19th Sept 2018. Correction window opens in the last week of September 2018. The exam will be conducted on the 25th of Nov 2018. Before starting with the preparation for CAT it is essential to understand the paper pattern and syllabus for CAT
Syllabus for CAT
Verbal Ability and Comprehension Reading (VARC) Syllabus for CAT 2018:
The total number of questions asked in this section are 34 out of which 24 are MCQ type and 10 are Non MCQ type.Logical Reasoning (LR) syllabus for CAT 2018:
The total number of questions asked in this section are 16 out of which 12 are MCQ type and 2 are Non MCQ type. Key subtopics to focus are: Clocks
 Binary Logic
 Blood Relations
 Assumption
 Conclusion
 Calendars
 Seating Arrangement
 Logical Sequence
 Premise
 Linear & Matrix Arrangement
Data Interpretation (DI) syllabus for CAT 2018:
The total number of questions asked in this section are 16 out of which 12 are MCQ type and 4 are Non MCQ type. Key subtopics to focus are: Data Tables
 Bar diagrams
 Graphs
 Data charts
 Pie charts
 Data analysis
Quantitative analysis (QA) syllabus for CAT 2018:
The total number of questions asked in this section are 34 out of which the number of MCQ type are 2427 and NonMCQ are 710. This is as per the previous 2 years Quant section. LCM and HCF
 Percentages
 Profit and Loss
 Simple and Compound Interest
 Speed, Time and Distance; Time and Work; Averages etc
 Ratio and Proportion
 Geometry (68 questions)
 Algebra (57 questions)
 Venn diagrams; other topic questions (23)
 Pure Math (12 questions)
 Complex Numbers
 Quadratic Equations;
 Linear Equations
 Binomial Theorem
 Progressions; Logarithm
 Inequalities
 Surds and Indices
 Probability Functions
 Permutation and Combination
 Mixtures and Alligations
 Set Theory
 Trigonometry
 Coordinate Geometry
There are many learning Apps like BYJU’S which help you with CAT preparation with required study materials and practice tests like CAT mock test.
For more updates on CAT 2018, students can visit the official website of BYJU’S which is India’s largest education company and largest k12 learning App in India. Students are also suggested to subscribe to our YouTube channel.

RE: Question Bank  Algebra  Shashank Prabhu, CAT 100 Percentiler
@shreyasnegi13
There are 10 primes in the given range.
4 also satisfies
9 and 25 won't work because we would already have two 3s and 5s respectively in the numerator
So 10 + 1 = 11 values. 
RE: Discussion Room : DILR
120 = I + II + III (Where I  number of students who attended exactly one interview, II  exactly two interviews and III  exactly three interviews)
I > II > III
III is atleast 1a) maximum number of students who attended exactly 3 companies.
We have to minimize I and II.
Let say x people attended all three. and let x + 1 attended exactly two companies and x + 2 attended exactly one company.
So 3x + 3 = 120
x = 39 
RE: Discussion Room : Quant
120 rupees is the original price
25 rupees down payment means 95 rupees is what we are "Borrowing" from the shop.
Amount paid in instalments = 25 * 4 = 100
So 100  95 = 5 is the interest
Now this interest gained (Rs 5) is through the interest gained in the available amount month by month.
5 = 95R/(12 * 100) + 70R/(12 * 100) + 45R/(12 * 100) + 20R/(12 * 100)
5 = 230R/(12 * 100)
R = 6000/230 = 26.09% 
RE: CAT Question Bank  Time & Work
@Ishita 120 is correct. Can you share your detailed approach so that others will benefit :)