JEE Main Aptitude (Paper 2 - B.Arch And B.Plan) Flashcards

24 sample cards from the Aptitude (Paper 2 - B.Arch And B.Plan) deck

Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.

1. In perspective drawing, what is a vanishing point?

   The point on the horizon line at which parallel lines receding into the distance appear to converge and meet.

2. What is the difference between one-point and two-point perspective?

   One-point perspective has a single vanishing point (used for views looking straight down a street); two-point perspective has two vanishing points on the horizon (used to draw the corner of an object/building).

3. How many small unit cubes are in a solid cube whose edge is 4 units long?

   4 x 4 x 4 = 64 unit cubes.

4. A 3x3x3 painted cube is cut into 27 unit cubes; how many small cubes have exactly two painted faces?

   12 (the cubes located on the edges, excluding corners). 8 have three faces, 6 have one face, and 1 (the centre) has none.

5. When a 2D net of six connected squares is folded into a cube, what is the rule about opposite faces?

   Opposite faces of a cube are never adjacent in the net; they are separated by one square in a row or are at the two ends of a straight line of three squares.

6. If you rotate the capital letter 'b' by 180 degrees in the plane, which letter does it resemble?

   It resembles 'q' (and 'd' rotated 180 degrees resembles 'p').

7. What is the difference between rotation and reflection (mirror image) of a 2D figure?

   Rotation turns a figure around a point keeping its orientation/handedness the same; reflection flips it across a line producing a mirror image with reversed handedness.

8. A clock's hour hand points at 3; after rotating 90 degrees clockwise, which number does it point to?

   It points to 6 (each quarter turn of 90 degrees moves it three hours forward).

9. In mental rotation problems, how many degrees of rotation return any figure to its original appearance?

   360 degrees (a full turn); a figure with rotational symmetry of order n looks identical every 360/n degrees.

10. Find the next number in the sequence 2, 6, 12, 20, 30, ?

    42. The differences increase by 2 each time (4, 6, 8, 10, 12); 30 + 12 = 42. (Also nth term = n(n+1).)

11. What number comes next: 1, 1, 2, 3, 5, 8, 13, ?

    21. This is the Fibonacci sequence, where each term is the sum of the two preceding terms (8 + 13 = 21).

12. Complete the series: 3, 9, 27, 81, ?

    243. It is a geometric progression with common ratio 3 (each term multiplied by 3).

13. What is the next term: 1, 4, 9, 16, 25, ?

    36. These are perfect squares (1^2, 2^2, 3^2 ...); the next is 6^2 = 36.

14. Find the missing letter: A, C, F, J, O, ?

    U. The gaps between letters increase by one each step (+2, +3, +4, +5, +6), so O + 6 = U.

15. What is the simple interest on Rs 5,000 at 8% per annum for 3 years?

    Rs 1,200. Simple Interest = (P x R x T)/100 = (5000 x 8 x 3)/100 = 1200.

16. If the ratio of two numbers is 3:5 and their sum is 64, what are the numbers?

    24 and 40. Total parts = 3 + 5 = 8; each part = 64/8 = 8, so 3x8 = 24 and 5x8 = 40.

17. What is 15% of 240?

    36. 15/100 x 240 = 36.

18. If 'all roses are flowers' and 'some flowers fade quickly', can we conclude 'some roses fade quickly'?

    No. The conclusion does not necessarily follow, because the flowers that fade quickly may not include any roses.

19. In coding-decoding, if CAT is written as DBU, how is DOG written using the same rule?

    EPH. Each letter is shifted forward by one position in the alphabet (C->D, A->B, T->U; so D->E, O->P, G->H).

20. What is the area and perimeter of a rectangle of length l and breadth b?

    Area = l x b; Perimeter = 2(l + b).

21. State the formula for the area of a circle and its circumference, given radius r.

    Area = pi x r^2; Circumference = 2 x pi x r.

22. What is the formula for the volume and total surface area of a sphere of radius r?

    Volume = (4/3) x pi x r^3; Total Surface Area = 4 x pi x r^2.

23. Give the formulas for the volume and curved surface area of a right circular cylinder (radius r, height h).

    Volume = pi x r^2 x h; Curved (lateral) Surface Area = 2 x pi x r x h; Total Surface Area = 2 x pi x r x (r + h).

24. What is the formula for the volume of a cone and of a cuboid?

    Volume of a cone = (1/3) x pi x r^2 x h; Volume of a cuboid = length x breadth x height.

What this deck covers

Aptitude (Paper 2 - B.Arch And B.Plan) flashcards FAQ