CAT Algebra questions are usually moderate to tough. Sometimes, they can be tricky. It is the second most dominant section of CAT Quantitative Aptitude section after Arithmetic. Questions are asked from Linear Equation, Quadratic Equation, Higher Degree Equation, Inequalities, Logarithms, Progression and Series, Functions and Graphs, Maxima and Minima and Modulus.
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CAT 2026 aspirants must be thorough with Algebraic formulae to solve questions in least time. Sum of series, telescoping sums, GP properties shifting graphs, composite functions, periodic functions, number of integral solutions, nature of roots, intervals Multi-layered log equations, properties simplification, and such topics should be in focus
CAT Quantitative Aptitude section has about 6 to 9 Algebra questions in. To score 99 percentile, attempt 5 to 8 CAT Algebra questions.
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Sample CAT Algebra Questions with Solutions
Question 1: Find the value of x if log3x + log9x + log27x + log81x = 25/4
(a) 9
(b) 27
(c) 81
(d) 243
Question 2: If log2[log3(log4x)] = 0 and log3[log4(log2y)] = 0, find x + y.
Options:
(a) 80
(b) 72
(c) 68
(d) 144
Question 3: Determine the number of real roots for the given equation: log2(x2 – 7x + 12) = log2{2} (x - 3) + 1.
Options:
(a) 0
(b) 1
(c) 2
(d) Infinity
Question 4: Find out the number of positive integer solutions (x, y) of the linear equation 3x + 5y = 105
a) 6
(b) 7
(c) 8
(d) 21
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Anything you would want to ask experts?Answered 4 days ago
Yes, NISM offers scholarship on not just CAT percentile score but also on XAT, CMAT & MAT entrance scores. Currently they offer 50% scholarship on 1st year tuition fees if you score more than 75 percentile on CAT/XAT. For CMAT & MAT, the percentile score should be above 80 percentile. These may chan
D
Beginner-Level 1
Answered 5 days ago
Dedicate one focused hour in the morning to QA formulas or an RC passage, one hour in the evening to DILR sets, and reserve weekends for full-length mocks and thorough review.
L
Contributor-Level 7
Answered 5 days ago
It is not too late, provided you adjust your scope. Focus directly on core topics, start taking sectional tests immediately, and spend time learning through mock test analysis.
R
Contributor-Level 7
Answered 5 days ago
Focus on formula sheets, mental math tables, grammar pointers, and your accumulated test error log. Avoid attempting full-length tests during the final three days before the exam.
N
Contributor-Level 7
Answered 5 days ago
Enrolling in a classroom programme is rarely practical with two months left. However, a dedicated mock test series or a targeted crash course for specific weak subjects can provide structured practice material.
D
Contributor-Level 7
Answered 5 days ago
A beginner can build a respectable attempt by focusing strictly on high-yield areas such as Arithmetic, Algebra, core DI arrangements, and Reading Comprehension, rather than attempting the entire syllabus.
R
Contributor-Level 7
Answered 5 days ago
Taking 12 to 18 full-length mocks across the 60-day window is generally sufficient. Candidates must scatter these mocks into phases and dedicate at least three to four hours to analysing each test.
B
Contributor-Level 7
Answered 5 days ago
Yes, 60 days is adequate if you have a basic understanding of mathematics and reading skills. It provides sufficient time to revise concepts, complete timed sectional practice, and take 12 to 15 full mocks.
S
Contributor-Level 7
Answered 5 days ago
FIIB provides scholarships based on the merit and need of the students. Students with more than 60 percentile in CAT exam can apply for scholarships offered by Fortune Institute of International Business Delhi.
Contributor-Level 7
Answered a week ago
IIM Indore will release CAT admit card 2026 on November 4. Candidates will be able to download the admit card of CAT exam 2026 until the exam date, i.e. November 29.
R
Contributor-Level 7
4.6
NMAT 2026 Registration Window 20 Aug '26 - 10 Oct '26
Is there a scholarship on the CAT percentile score at NISM's PGDM - SM?