100 Questions • 90 Minutes • 2025 Mock Test in Hindi and English
• Given: A+B+C = 1/54; B+C = 1/56; B = 1.75 A; together 52 days; remaining by B.
• Basic Method (Solution):
Step 1: A’s work = 1/54 − 1/56 = 1/(54×56) = 1/1512 per day.
Step 2: B = 1.75 × (1/1512) = 7/6048 per day.
Step 3: Work done in 52 days = 52/54; remaining = 2/54 = 1/27.
Step 4: Time by B = (1/27) / (7/6048) = 32 days.
• Shortcut Method: Find individual rates, compute remaining fraction.
• Final Answer: 32 days
• Given conditions: 55, 53, 50, 45, 38, ?
• Deduction process: Differences: −2, −3, −5, −7 → next −9 (prime numbers). 38 − 9 = 29? Wait, marked 27: differences −2, −3, −5, −7, −11 → 38−11=27.
• Exam Trick: Differences are consecutive primes.
• Final Answer: 27
• Key Fact: Wheat is mainly a Rabi crop in India.
• Supporting Detail: It is sown in winter (October–December) and harvested in spring (March–April).
• Related Concept: Rabi crops include wheat, barley, mustard, gram; Kharif includes rice, maize, cotton.
• Why others wrong: Zaid is short summer crops; Kharif is monsoon; Pre-monsoon is not a major crop season.
• Exam Trick: Wheat → Rabi.
• Additional Info: India is the second-largest producer of wheat in the world.
• Given: .
• Basic Method (Solution):
Step 1: ; ; .
Step 2: 0.6 + 0.1 − 0.2 = 0.5.
• Shortcut Method: Recognise cubes of 0.6, 0.1 and 0.2.
• Final Answer: 0.5
• Key Fact: Raising an object from the ground stores Potential energy (gravitational potential energy).
• Supporting Detail: PE = mgh; work done against gravity is stored as potential energy.
• Related Concept: Kinetic energy is due to motion; heat and electrical are other forms.
• Why others wrong: No electrical or heat conversion; kinetic would require motion.
• Exam Trick: Height increase → Potential energy.
• Additional Info: Potential energy can be converted back to kinetic energy when the object falls.
• Given: x − y = 5; xy = 21; find x² + y² + xy.
• Basic Method (Solution):
Step 1: (x − y)² = x² + y² − 2xy → 25 = x² + y² − 42 → x² + y² = 67.
Step 2: x² + y² + xy = 67 + 21 = 88.
• Shortcut Method: x² + y² = (x − y)² + 2xy; then add xy.
• Final Answer: 88
• Key Fact: The Cytoskeleton is responsible for maintaining cell shape and providing structural support.
• Supporting Detail: It consists of microtubules, microfilaments and intermediate filaments.
• Related Concept: It also aids in cell movement and intracellular transport.
• Why others wrong: Peroxisome detoxifies; Nucleus contains DNA; Golgi processes proteins.
• Exam Trick: Cell shape/support → Cytoskeleton.
• Additional Info: Cytoskeleton is present in both plant and animal cells.
• Given conditions: 7 boxes; two between D and B; only E above G; no box below B → B at bottom (1); A below C above F.
• Deduction process: B on floor 1; two between D and B → D on 4. Only E above G → G on 6, E on 7. Remaining positions for A, C, F with A between C and F. Between B and G there are 4 boxes.
• Exam Trick: Fix B at bottom first.
• Final Answer: 4
• Key Fact: Article 239 states that Union Territories are to be administered by the President, who may appoint an administrator.
• Supporting Detail: The President acts through an administrator appointed by him.
• Related Concept: Article 240 deals with power of President to make regulations; Article 241 with High Courts for UTs.
• Why others wrong: Other articles deal with related but different aspects of UTs.
• Exam Trick: Administration of UTs → Article 239.
• Additional Info: Some UTs have Legislatures under special provisions (e.g., Delhi, Puducherry).
• Given conditions: 18→73; 23→93.
• Deduction process: Pattern: ×4 +1. 18×4 +1 = 73; 23×4 +1 = 93. Option C: 26×4 +1 = 105.
• Exam Trick: Check multiplication and addition pattern.
• Final Answer: 26, 105
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