Engineering Sciences Quiz Quiz

Test your knowledge and problem-solving skills with this GATE 2025 quiz featuring questions on general aptitude, reasoning, numerical ability, and engineering mathematics concepts. Perfect for practice or assessment in the Engineering Sciences (XE) stream.

1. Sentence completion with 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 out
   2. back on
   3. back up
   4. back of

2. Subject-verb agreement

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

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

3. Percentage increase in energy cost

   If a 40-watt desk light is left on for 10 hours each night for 180 days at ₹7 per kWh, and then left for 2 more hours each night for the same period, what is the percentage increase in energy cost?

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

4. Logical reasoning with labeled blocks

   Given a table with missing entries (i), (ii), (iii), and (iv), which option correctly represents these values?

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

5. Pie chart interpretation and algebra

   A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls with given summation conditions. Which pie chart accurately represents the distribution?

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

6. Inference from a passage

   Based on the passage describing a solitary man's life and generosity, which statement is true?

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

7. Clock arrangement and sequence

   Given that O* = OQSZPRT and X* = XZPWYOQ, which of the following best represents P* in a similar clock face sequence?

   1. PSUPRTV
   2. PRTOQSU
   3. PUWRTVX
   4. PTVQSUW

8. Combinatorics and digit arrangement

   A five-digit number PQRST uses digits 1 to 5 with P u003C Q, S u003E P u003E T, and R u003C T. Which value is possible for P?

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

9. Profit, cost, and ratio calculation

   A person mixes two potato varieties, P and Q, sold at ₹192 per kg, with P at ₹300/5kg and Q at ₹800/4kg. If the mixture yields an 8% profit, what is the ratio P:Q by weight?

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

10. Shortest distance from a point to a segment

    Villages P, Q, and R have distances PQ=13 km, QR=14 km, and RP=15 km. What is the minimum length (in km) required to build a road from P to QR?

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

11. Variance of linear combinations

    If X and Y are random variables with mean 0, variance 1, and correlation coefficient 1/3, what is Var(X + 3Y)?

    1. 12
    2. 9
    3. 11
    4. 10

12. Simple algebraic equation solving

    If 2x + 5 = 19, what is the value of x?

    1. 7
    2. 6
    3. 5
    4. 8

13. Number system divisibility

    Which one of the following numbers is divisible by both 3 and 5?

    1. 45
    2. 32
    3. 97
    4. 53

14. Probability with coins

    If two unbiased coins are tossed together, what is the probability of getting at least one head?

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

15. Application of geometry in triangles

    In triangle ABC, if sides AB=6cm, AC=8cm, and BC=10cm, what type of triangle is ABC?

    1. Isosceles
    2. Equilateral
    3. Scalene
    4. Right-angled