Maths · Chapter 4
Indices and Surds PYQs
Powers and roots are the grammar of maths. Learn them properly once, and Algebra, Mensuration and Simplification all become easier.
Square roots of numbers, decimals and simple root equations 5 PYQs
- If √x + 1 = 5, then what is the value of x?SSC GD 2026 · 06 May 2026
- Evaluate: f√1600 + √900√100SSC Selection Post 2026 · 22 Sep 2026
- Simplify: f51 + 3√4SSC Selection Post 2026 · 22 Sep 2026
- If a = √3481 and b = √2209, then find the value of (a2 − b2) ÷ (a − b).SSC Selection Post 2026 · 19 Sep 2026
- Calculate: sqrt0.√4 × (0.4√6 + 0.0√3)SSC Selection Post 2026 · 19 Sep 2026
Laws of indices: simplifying powers and roots 9 PYQs
- What is the value of 32 + 5 × 2 − 4?SSC Selection Post 2026 · 21 Sep 2026
- Simplify using BODMAS: 222 − 32 + √576 − (20 + 21)SSC Selection Post 2026 · 22 Sep 2026
- Simplify using BODMAS: 212 − 42 + √529 − (19 + 20)SSC Selection Post 2026 · 25 Sep 2026
- Evaluate: (112 + 142) ÷ 3SSC Selection Post 2026 · 25 Sep 2026
- Evaluate the expressions: "5⁰, 0!, 1⁵, (−1)²". Then, list their numerical values in increasing order. If a value appears more than once, include it…UP Police Constable 2026 · 08 Jun 2026
- Simplify: (2³)² ÷ 2⁴RRB Group D 2026 · 10 Feb 2026
- Simplify: [(0.64 ÷ 0.008) − 18.75% of 320] ÷ [52 − (43 ÷ 8)]SSC Selection Post 2026 · 17 Sep 2026
- Simplify: (√2025 + √1728) × 8/19 − (25 − 33)SSC Selection Post 2026 · 23 Sep 2026
- If the value of [(612)1/3 × √27 ÷ 32] + 40 − 10000 is equal to 2a × 3b × 5c, then what is the value of a + b − 2c?SSC Selection Post 2026 · 18 Sep 2026
Exponential equations: make the bases same, then compare the powers 1 PYQs
Simplifying surds: adding, subtracting, multiplying and dividing 3 PYQs
- Which of the following is equal to √5 − √2?SSC Selection Post 2026 · 17 Sep 2026
- Simplify the following: √50 − √8SSC Selection Post 2026 · 21 Sep 2026
- Find the surd value of √75 − √27.SSC Selection Post 2026 · 21 Sep 2026
Squaring surds and conjugate pairs: (a + √b)² and (a + √b)(a − √b) 4 PYQs
- The value of (√5 + √2)(√5 − √2) is:SSC Selection Post 2026 · 18 Sep 2026
- Simplify: 72 + 2 × 7 × 3 + 32SSC Selection Post 2026 · 21 Sep 2026
- Simplify the expression: (6.38 × 56 + 6.38 × 44) ÷ [(8.19)2 − (1.81)2]SSC Selection Post 2026 · 21 Sep 2026
- Evaluate: f(2.3)3 − 0.027(2.3)2 + 0.69 + 0.09SSC Selection Post 2026 · 19 Sep 2026