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7 cards from real Numerical Reasoning 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 sequence follows the pattern: 3, 7, 15, 31, _. What is the next number?

    Answer: 63

    Each term is doubled and then 1 is added: 31×2+1 = 63.

  2. If x + y = 14 and x − y = 4, what is the value of x × y?

    Answer: 45

    Solving: x = 9, y = 5; product = 9 × 5 = 45.

  3. A 12% interest rate compounded annually yields how much on $5,000 after 2 years?

    Answer: $6,272

    $5,000 × 1.12² = $5,000 × 1.2544 = $6,272.

  4. A bag contains 4 red, 3 blue, and 5 green balls. What is the probability of randomly picking a blue ball?

    Answer: 1/4

    Total = 12; P(blue) = 3/12 = 1/4.

  5. In a number series 2, 6, 18, 54, ___, what is the missing term?

    Answer: 162

    Each term is multiplied by 3; 54 × 3 = 162.

  6. If a square's side is increased by 50%, by what percentage does its area increase?

    Answer: 125%

    New area = (1.5s)² = 2.25s²; increase = 125%.

  7. Two numbers are in the ratio 5:9. If their sum is 84, what is the larger number?

    Answer: 54

    Total parts = 14; larger = 9/14 × 84 = 54.