CAT Algebra Bible Top 10 Must Solve Algebra Questions covering 100% of Syllabus – Page 5

All 21 Algebra questions from CAT papers. Tap Show answer, or open the detailed solution (free login). Page 5 of 7.

CAT 2022 Slot 2 · Quant

Refer to the passage above ↑

Consider the arithmetic progression 3, 7, 11, ... and let An denote the sum of the first n terms of this progression. Then the value of (1/25) × Σ(n=1 to 25) An is

Last day solving checklist

Name the unknown. Include its unit and state whether it is a count, amount, rate or parameter.
Form the relationships. Translate each given condition into an equation or restriction.
Choose the method. Use the formula, substitution, elimination, a sign chart or a bound appropriate to this concept.
Check restrictions. Check integer counts, signs, nonzero denominators, domains and all original conditions.
Verify the answer. Substitute into the original question; for an extreme, show a feasible example reaches it.

All 10 repeating CAT PYQs and how much each adds

CAT PYQ	Repeating CAT PYQ	Questions	Representative	Cumulative questions	Cumulative share
1	Conjugate surds and difference of squares	7	CAT 2021 S1 Q4	7	21.21%
2	Symmetric sums products and reciprocal powers	7	CAT 2022 S3 Q14	14	42.42%
3	Square sum product identities in diagonal geometry	5	CAT 2021 S2 Q9	19	57.58%
4	Complete squares and use sign or equality conditions	4	CAT 2023 S1 Q2	23	69.70%
5	Group common expressions and factor product constraints	4	CAT 2021 S2 Q3	27	81.82%
6	Difference or sum formulas for sequence totals	2	CAT 2021 S2 Q20	29	87.88%
7	Add and subtract values at opposite polynomial roots	1	CAT 2022 S2 Q9	30	90.91%
8	Common base exponent identity for all parameter values	1	CAT 2022 S3 Q11	31	93.94%
9	Square and factor an absolute value inequality	1	CAT 2021 S3 Q18	32	96.97%
10	Expand a nested GP into simpler series	1	CAT 2023 S3 Q20	33	100%

Based on CAT Actual Quant Papers.

Solution — first steps