Statistics Quiz Quiz

Test your knowledge with this 15-question quiz based on concepts from statistics, mathematical reasoning, general aptitude, and logical deduction drawn from GATE-level ST2025 content. Suitable for learners who want to assess their understanding of probability, grammar, arithmetic reasoning, and problem-solving skills.

1. Sentence Completion – Phrasal Verbs

   Even though I had planned to go skiing with my friends, I had to ______ at the last moment because of an injury.

   1. back on
   2. back up
   3. back out
   4. back of

2. Subject-Verb Agreement

   The President, along with the Council of Ministers, ______ to visit India next week.

   1. is wishing
   2. will wish
   3. wishes
   4. wish

3. Electricity Consumption Calculation

   If a 40-watt desk light is used for 10 hours each night for 180 days and the price is ₹7 per kWh, what is the cost of energy consumed? If it is on for 2 more hours per night, what is the percentage increase in cost?

   1. ₹720; 15%
   2. ₹604.8; 12%
   3. ₹604.8; 10%
   4. ₹504: 20%

4. Logical Deduction – Figure Analysis

   Considering a figure with blocks labelled (i), (ii), (iii), and (iv), which option correctly represents their entries as Q, M, 12, and 8?

   1. L, K, 12 and 8
   2. I, J, 10, and 8
   3. K, L, 10 and 14
   4. Q, M, 12, and 8

5. Pie Chart Interpretation

   A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. Given the mathematical relationships between their counts, which pie chart accurately represents their proportion?

   1. G 30%, V 40%, Y 20%, R 10%
   2. G 20%, V 30%, Y 10%, R 40%
   3. G 10%, V 20%, R 30%, Y 40%
   4. G 40%, V 10%, R 20%, Y 30%

6. Reading Comprehension – Passage Interpretation

   Based on the passage about a solitary man who worked at all hours and helped others, which statement is correct?

   1. The solitary man described in the passage found joy in scattering fruits.
   2. The solitary man described in the passage is dead.
   3. The solitary man worked in a court where he fell ill.
   4. Strangers helped create a grand reputation for the solitary man described in the passage.

7. Pattern Recognition – Clock Example

   Given the sequences O* = O Q S Z P R T and X* = X Z P W Y O Q, what is the correct sequence for P*?

   1. P U W R T V X
   2. P S U P R T V
   3. P T V Q S U W
   4. P R T O Q S U

8. Digit Placement – Five-Digit Number Logic

   A five-digit number PQRST with distinct digits 1 to 5 satisfies: Pu003CQ, Su003EPu003ET, and Ru003CT. What is the value of P?

   1. 2
   2. 4
   3. 3
   4. 1

9. Profit and Mixture – Basic Arithmetic

   A businessperson mixes two varieties P and Q of potatoes and sells the mixture at ₹192 per kg. If P costs ₹300 per 5 kg and Q costs ₹800 per 4 kg, and the person gets 8% profit, what is the P:Q ratio (by weight)?

   1. 3:2
   2. 1:1
   3. 3:4
   4. 5:4

10. Triangle u0026 Distance – Minimum Connection

    Villages P, Q, and R have distances PQ = 13 km, QR = 14 km, and RP = 15 km. What is the minimum possible length (in km) of the road connecting P to line QR?

    1. 10.5
    2. 11.0
    3. 12.5
    4. 12.0

11. Differentiable Functions – Integral Relationship

    Let f: [0,∞)→[0,∞) be differentiable with f(x)u003E0 for all xu003E0, f(0)=0, and (f(x))² = ∫₀ˣ ((f(t))² + f(t)) dt. Which interval does f(2) lie in?

    1. 3 u003C f(2) ≤ 4
    2. 2 u003C f(2) ≤ 3
    3. 0 u003C f(2) ≤ 1
    4. 1 u003C f(2) ≤ 2

12. Set Theory – Countability

    Which of the following is a correct statement about countability? For example, the set of rational numbers is countable, while the set of real numbers is uncountable.

    1. The set of real numbers between 0 and 1 is uncountable.
    2. The set of natural numbers is uncountable.
    3. The set of integers between 1 and 10 is uncountable.
    4. Every infinite set is countable.

13. Probability – Selection from a Group

    If 3 people are to be selected randomly from a group of 7, in how many distinct ways can this selection be made?

    1. 35
    2. 42
    3. 21
    4. 14

14. Statistics – Mean Calculation

    Given the data set: 12, 15, 20, 22, 31, what is the arithmetic mean?

    1. 20
    2. 18
    3. 22
    4. 25

15. Basic Algebra – Equation Solving

    If x + 2y = 10 and x - y = 1, what is the value of y?

    1. 1
    2. 2
    3. 3
    4. 4