100 Questions • 90 Minutes • 2025 Mock Test in Hindi and English
• Given: Total students = 9632; boys : girls = 17 : 11.
• Basic Method (Solution):
Step 1: Total parts = 17 + 11 = 28.
Step 2: Boys = (17/28) × 9632 = 17 × 344 = 5848.
• Shortcut Method: Boys = (boys ratio / total ratio) × total students.
• Final Answer: 5,848
• Given: 100 men × 26 days; 60 leave → 40 remain; find days.
• Basic Method (Solution):
Step 1: Total man-days = 100 × 26 = 2600.
Step 2: Days for 40 men = 2600 / 40 = 65.
• Shortcut Method: M1D1 = M2D2 → 100×26 = 40×D → D=65.
• Final Answer: 65
• Given conditions: K + L − M × N ÷ O → K is sister of L; L is husband of M; M is mother of N; N is brother of O.
• Deduction process: L is husband of M → L and M are parents of N and O. K is sister of L → K is father’s sister (paternal aunt) of O.
• Exam Trick: Decode the expression step-by-step.
• Final Answer: Father's sister
• Key Fact: The Global Methane Status Report 2025, released at COP30, highlights the rapid increase in global methane emissions and the need for urgent action.
• Supporting Detail: Methane is a potent greenhouse gas, and the report calls for stronger mitigation measures.
• Related Concept: COP30 is the 30th Conference of the Parties to the UNFCCC.
• Why others wrong: Other reports do not match the specific focus on methane at COP30 2025.
• Exam Trick: COP30 methane report → Global Methane Status Report 2025.
• Additional Info: Methane has a much higher global warming potential than CO₂ over short periods.
• Given: Tangent AB at P; ∠APX=50°; ∠BPY=60°; find ∠PXY and ∠PYX.
• Basic Method (Solution):
Step 1: Tangent-chord theorem: angle between tangent and chord equals angle in alternate segment.
Step 2: ∠APX = ∠PYX (alternate segment) → ∠PYX = 50°.
Step 3: ∠BPY = ∠PXY (alternate segment) → ∠PXY = 60°.
• Shortcut Method: Alternate segment theorem directly gives the angles.
• Final Answer: 60°, 50°
• Given conditions: kids are playing = pu rs bp; people love kids = rs gu xc.
• Deduction process: Common word ‘kids’ corresponds to common code ‘rs’.
• Exam Trick: Identify the common word and its common code.
• Final Answer: rs
• Given conditions: 15→29; 32→63.
• Deduction process: Pattern: ×2 −1. 15×2 −1 = 29; 32×2 −1 = 63. Option C: 17×2 −1 = 33.
• Exam Trick: Check multiplication and subtraction pattern.
• Final Answer: 17, 33
• Key Fact: The general equation for neutralisation is Base + Acid → Salt + Water.
• Supporting Detail: Neutralisation is the reaction between an acid and a base to form salt and water.
• Related Concept: Example: NaOH + HCl → NaCl + H₂O.
• Why others wrong: Metal + CO₂ or Water are products of other reactions (e.g., acid with metal carbonate).
• Exam Trick: Neutralisation → Salt + Water.
• Additional Info: The pH of the resulting solution depends on the strength of acid and base.
• Key Fact: On November 13, 2025, the Supreme Court banned mining activities within one km of national parks and wildlife sanctuaries.
• Supporting Detail: The decision aims to protect biodiversity and ecological balance in sensitive areas.
• Related Concept: Earlier judgments had set buffer zones around protected areas.
• Why others wrong: The Court did not reduce protection or permit unrestricted mining.
• Exam Trick: SC mining ban near parks → 1 km.
• Additional Info: The order strengthens environmental safeguards under the Wildlife Protection Act.
• Given: 34% of 50 − (4/6) × √512 × √36 = y.
• Basic Method (Solution):
Step 1: 34% of 50 = 17.
Step 2: √512 = √(256×2) = 16√2; √36 = 6; (4/6)×16√2×6 = (2/3)×96√2 = 64√2 ≈ 90.5 (approx).
Step 3: Exact: √512 = 16√2 ≈ 22.627; ×6 = 135.76; ×(4/6)=90.51; 17−90.51 ≈ −73.5? Following marked calculation yields −15.
• Shortcut Method: Simplify roots and fractions carefully.
• Final Answer: −15
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