SSC CGL 2025 Tier 1 Quant PYQ – 19 Sep 2025 Shift 3 (25 Questions with Solutions)

SSC CGL 2025 Tier 1 Quant PYQ (19 Sep, Shift 3): Topics and Key Formulas

Surds, reciprocal identities, simple interest, mensuration, trigonometry and circle geometry make up this set of SSC CGL 2025 Tier 1 Quantitative Aptitude questions from 19 September 2025, Shift 3. Aptitude360 presents the actual previous year questions of that shift, mixing arithmetic with advanced maths, and most of them carry a worked solution.

What the 19 Sep 2025 Shift 3 Maths paper asked

• Algebra: ratios of sums and differences of cubes, higher powers of a number plus its reciprocal
• Surds: rationalising denominators, comparing square roots
• Arithmetic: marked price with discount, wage sharing by efficiency, simple interest growth and split investments
• Mensuration: hollow cylinder, cone sliced by parallel planes, recast hemispheres, tank capacity
• Trigonometry and coordinates: ratios from a given cotangent, a ladder against a wall, a point on a line
• Geometry: tangents and secants, sectors, regular polygon angles, triangle congruence

Formulas worth revising for this CGL shift

• Reciprocal square: \( x^{2}+\dfrac{1}{x^{2}}=\left(x+\dfrac{1}{x}\right)^{2}-2 \)
• Simple interest: \( SI=\dfrac{P\times R\times T}{100} \)
• Interior angle of a regular polygon: \( \dfrac{(n-2)\times 180^{\circ}}{n} \)
• Tangent and secant from P: \( PA^{2}=PB\times PC \)
• Sector area: \( \dfrac{\theta}{360^{\circ}}\times \pi r^{2} \)

How to prepare these Quant areas

• Treat each top part of a sliced cone as a similar cone, since volumes vary as the cube of heights.
• When a number plus its reciprocal is small, find the number itself before expanding long expressions.
• In interest growth questions, write the interest as a multiple of the principal, then scale the time.

Who will gain from this paper

SSC CGL aspirants who have finished the Tier 1 Quant syllabus and want to see how a recent shift framed its questions.