Practice Test Geeks(GATE) Graduate Aptitude Test in Engineering Practice Test
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General Aptitude & Logical Reasoning Flashcards

7 cards from real GATE practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. A sphere of radius r is inscribed in a cube. What is the ratio of the volume of the cube to the volume of the sphere?

    Answer: 6/π

    Cube side = 2r; V_cube=(2r)³=8r³; V_sphere=4πr³/3; ratio=8r³/(4πr³/3)=6/π.

  2. P is taller than Q. R is taller than P. S is shorter than R but taller than Q. Who is the shortest?

    Answer: Q

    Order: R>P>S>Q (since S>Q and P>Q and R>P>Q); Q is shortest.

  3. A shopkeeper marks his goods at 25% above cost price and allows a 10% discount. What is his profit percentage?

    Answer: 12.5%

    SP = CP×1.25×0.90 = 1.125×CP; profit = 12.5%.

  4. Read the passage: 'All employees who joined before 2010 are eligible for a pension. John joined in 2008.' Which conclusion is valid?

    Answer: John is eligible for a pension

    John joined in 2008, which is before 2010, so he meets the condition for pension eligibility.

  5. Which number replaces the question mark? 4 : 16 :: 7 : ?

    Answer: 49

    The relationship is n : n²; 4→16=4², so 7→49=7².

  6. A sentence with a grammatical error: 'The committee have decided to postpone their meeting.' Choose the correction.

    Answer: The committee has decided to postpone its meeting.

    'Committee' is a collective noun treated as singular in American English, requiring 'has' and the singular pronoun 'its'.

  7. The average of five consecutive odd numbers is 45. What is the largest of these numbers?

    Answer: 49

    Middle number = 45 (average of consecutive odd numbers is the middle); five consecutive odds: 41,43,45,47,49; largest=49.