GATE · General Aptitude

Numerical and logical aptitude

36 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 36 questions

  1. A car travels at and then returns the same at . Find the average speed for the whole journey.
  2. Find the sum of the first terms of the arithmetic progression
  3. Find the median of .
  4. A shop sells a shirt for Rs. 1,080 after a discount of on the marked price. Find the marked price.
  5. A trader buys an article for Rs. 500 and sells it for Rs. 700. Find the profit percentage.
  6. Find the sum of the first terms of the arithmetic progression
  7. Two fair dice are thrown. Find the probability that the sum is .
  8. The price of an item is Rs. 6,000. It is increased by and the new price is then decreased by . Find the final price.
  9. A bus travels at for hours. How far does it travel?
  10. Find the lowest common multiple (LCM) of and .
  11. Find the sum of the first terms of the arithmetic progression
  12. Simplify .
  13. Two fair dice are thrown. Find the probability that the sum is .
  14. The price of an item is Rs. 800. It is increased by and the new price is then decreased by . Find the final price.
  15. Find the term number of the arithmetic progression
  16. The table shows the number of books read by students: book (8 students), books (7), books (6), books (1). Find the mean number of books.
  17. The price of an item is Rs. 1,200. It is increased by and the new price is then decreased by . Find the final price.
  18. A trader buys an article for Rs. 1,200 and sells it for Rs. 1,680. Find the profit percentage.
  19. Find the highest common factor (HCF) of and .
  20. Find the sum of the first terms of the arithmetic progression
  21. A shop sells a shirt for Rs. 2,700 after a discount of on the marked price. Find the marked price.
  22. A trader buys an article for Rs. 400 and sells it for Rs. 480. Find the profit percentage.
  23. Priya is taller than Sneha. Neha is taller than Kavya. Sneha is taller than Neha. Who is the tallest?
  24. All insects have six legs. A beetle is an insect. Which conclusion must be true?
  25. Which number does not belong with the others: 6, 19, 15, 24, 18?
  26. If 5 machines make 5 items in 5 minutes, how many minutes do 100 machines need to make 100 items?
  27. How many squares of all sizes are there in a 5 × 5 grid of small squares?
  28. What comes next in the sequence 2, 6, 18, 54, 162, ...?
  29. Sneha is heavier than Imran. Vikram is heavier than Sneha. Who is the lightest?
  30. Today is Friday. What day of the week will it be in 100 days?
  31. In a code each letter is replaced by the letter 4 places later in the alphabet (A becomes E). What is the code for MAP?
  32. Which number is not a perfect square: 9, 77, 64, 49, 25?
  33. If 3 machines make 3 items in 3 minutes, how many minutes do 50 machines need to make 50 items?
  34. What is the sum of all whole numbers from 1 to 10?
  35. What comes next in the sequence 3, 6, 12, 24, 48, ...?
  36. Kabir is heavier than Imran. Rohan is heavier than Priya. Imran is heavier than Rohan. Who is the heaviest?

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