MCQOPTIONS
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MCQOPTIONS
This section includes 48 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Twenty-seven cubes are arranged in a block as shown below. How many cubes will be surrounded by other cubes on all sides? |
| A. | 3 |
| B. | 1 |
| C. | Rs. 2250 |
| D. | 6 |
| Answer» C. Rs. 2250 | |
| 2. |
If the cube is turned twice to the right Ò which will be the hidden numbers? |
| A. | 1, 2, 5 |
| B. | 3, 4, 6 |
| C. | 72 |
| D. | 2, 3, 5 |
| Answer» E. | |
| 3. |
Directions: Study the following information and answer the questions given below: (i) A rectangular wooden block is having length 6 cm, breadth 4 cm and height 1 cm. (ii) Both sides having dimension are painted with black colour. (iii) Both sides having dimension are painted in red colour. (iv) Both sides with dimension are painted in green colour. (v) The block is cut into six equal pairs of 1 cm each (from 6 cm side) and into 4 equal parts of 1 cm each (from 4 cm side). How many cubes will be formed? |
| A. | 6 |
| B. | 12 |
| C. | 50 |
| D. | 24 |
| Answer» E. | |
| 4. |
Directions: Six sides of a cube are coloured with different colours. Yellow is opposite white and blue is between red and green. One side is black. Which colour does not touch red side? |
| A. | green |
| B. | yellow |
| C. | \[1cm=20\text{ }students\] |
| D. | blue |
| Answer» B. yellow | |
| 5. |
Directions: A cube of 4 cm has been painted on its surfaces in such a way that two opposite surfaces have been painted blue and two adjacent surfaces have been painted red. Two remaining surfaces have been left unpainted. Now the cube is cut into smaller cubes of side 1 cm each. How many cubes will have three surfaces coloured? |
| A. | 3 |
| B. | 4 |
| C. | 38,500 |
| D. | 16 |
| E. | None of these |
| Answer» B. 4 | |
| 6. |
Directions: A cube of 4 cm has been painted on its surfaces in such a way that two opposite surfaces have been painted blue and two adjacent surfaces have been painted red. Two remaining surfaces have been left unpainted. Now the cube is cut into smaller cubes of side 1 cm each. How many cubes will have at least colour on its surfaces? |
| A. | 20 |
| B. | 8 |
| C. | 26,500 |
| D. | 32 |
| E. | None of these |
| Answer» E. None of these | |
| 7. |
Directions: A cube of 4 cm has been painted on its surfaces in such a way that two opposite surfaces have been painted blue and two adjacent surfaces have been painted red. Two remaining surfaces have been left unpainted. Now the cube is cut into smaller cubes of side 1 cm each. How many cubes will have only two surfaces painted with red and blue colour, respectively? |
| A. | 8 |
| B. | 12 |
| C. | May |
| D. | 30 |
| E. | None of these |
| Answer» C. May | |
| 8. |
An unfolded dice is shown below in the figure: Select the dice from the given option which is identical to unfolded dice given in question. (i) (ii) (iii) (iv) |
| A. | (i) only |
| B. | (ii) only |
| C. | \[\frac{2}{5}\] |
| D. | (i), (ii), (iii) and (iv) only |
| E. | None of these |
| Answer» C. \[\frac{2}{5}\] | |
| 9. |
The number opposite 3 is which of the following? (i) (ii) (iii) (iv) |
| A. | 2 |
| B. | 3 |
| C. | 6.3 cm |
| D. | 6 |
| E. | None of these |
| Answer» D. 6 | |
| 10. |
Two positions of a block are shown below: (i) (ii) When 5 is at the top, which number will be at the bottom? |
| A. | 6 |
| B. | 2 |
| C. | 16 |
| D. | 3 |
| E. | None of these |
| Answer» E. None of these | |
| 11. |
If number 1 is marked on the bottom, which number will be on the top? (i) (ii) |
| A. | 1 |
| B. | 2 |
| C. | \[2719\text{ }c{{m}^{3}}\] |
| D. | 6 |
| E. | None of these |
| Answer» E. None of these | |
| 12. |
Directions: A cube is cut in two equal parts along a plane parallel to one of its faces. One piece is then colored red on the two larger faces and green on the remaining, while the other is colored green on two smaller adjacent faces and red on the remaining. Each is then cut into 32 cubes of same size and mixed up. Now answer the following questions based on the above statement. What is the total number of red faces? |
| A. | 0 |
| B. | 64 |
| C. | 900 |
| D. | 128 |
| Answer» D. 128 | |
| 13. |
Two positions of a dice are shown below. When 2 dots are at the bottom, how many dots will be at the top? |
| A. | 6 |
| B. | 4 |
| C. | 16 |
| D. | 5 |
| Answer» D. 5 | |
| 14. |
Count the number of cubes in the figure given below. |
| A. | 80 |
| B. | 87 |
| C. | 2 |
| D. | 90 |
| Answer» D. 90 | |
| 15. |
The figure below is a drawing of pile of blocks. When taken apart, how many blocks would be there? |
| A. | 10 |
| B. | 14 |
| C. | 24 |
| D. | 20 |
| Answer» C. 24 | |
| 16. |
How many points will be on the face opposite to the face which contains 2 points? |
| A. | 1 |
| B. | 5 |
| C. | 24 |
| D. | 6 |
| Answer» E. | |
| 17. |
The six faces of a die have been marked with alphabets A, B, C, D, E and F respectively. This die is rolled down three times. The three positions are shown in the figure below. Find the alphabet opposite A |
| A. | B |
| B. | C |
| C. | (i) and (iii) only |
| D. | E |
| Answer» E. | |
| 18. |
Four different positions of a dice are shown below. Find the number on the face opposite to the face showing 2. (SOF NCO 2016) |
| A. | 3 |
| B. | 4 |
| C. | 4 |
| D. | 6 |
| Answer» D. 6 | |
| 19. |
Two positions of a dice are shown below. When there are two dots at the bottom, the number of dots at the top will be |
| A. | 5 |
| B. | 3 |
| C. | 5 |
| D. | Cannot be determined |
| Answer» C. 5 | |
| 20. |
Two positions of a dice are shown here. Which number will be opposite to 1? (SOF NCO 2017) |
| A. | 6 |
| B. | 5 |
| C. | 3 |
| D. | 3 |
| Answer» E. | |
| 21. |
How many cubes are there in the given figure? (SOF IMO 2016) |
| A. | 16 |
| B. | 20 |
| C. | 80 |
| D. | 22 |
| Answer» D. 22 | |
| 22. |
Which of the following net can be used to form the given cube? (SOF IMO 2016) |
| A. | |
| B. | |
| C. | 1 and 2 only |
| D. | |
| Answer» C. 1 and 2 only | |
| 23. |
Which symbol will be on the face opposite to the face with symbol*? |
| A. | \[\square \] |
| B. | \[\Delta \] |
| C. | 2 and 3 only |
| D. | + |
| Answer» D. + | |
| 24. |
When the following figure is folded to form a cube, how many dots would lie opposite to the face bearing five dots? |
| A. | 1 |
| B. | 2 |
| C. | 1 |
| D. | 4 |
| Answer» D. 4 | |
| 25. |
Direction: In each of the given figure, count the number of cubes. |
| A. | 53 |
| B. | 57 |
| C. | 89 |
| D. | 64 |
| Answer» C. 89 | |
| 26. |
Two positions of a dice are shown below. When number '1' 'is on the top, which number will be at the bottom? |
| A. | 3 |
| B. | 5 |
| C. | 18 |
| D. | 2 |
| Answer» C. 18 | |
| 27. |
Two positions of a dice are shown below. Which number will appear on the face opposite to the face with the number 5? |
| A. | 1 |
| B. | 2 |
| C. | 4 |
| D. | 4 |
| Answer» D. 4 | |
| 28. |
Two positions of a dice are shown below. Which digit will appear on the face opposite to the face with number 4? |
| A. | 3 |
| B. | 5 |
| C. | D |
| D. | 2 |
| Answer» B. 5 | |
| 29. |
Four different positions of a dice are shown below. Which of the following coloured face is not adjacent to the face coloured white? (SOF NCO 2016) |
| A. | Violet |
| B. | Yellow |
| C. | 5 |
| D. | Black |
| Answer» C. 5 | |
| 30. |
Direction: A solid cube of each side 4 cm has been painted all faces. It is then cut into cubical blocks each of side 2 cm. How many cubes have only two faces painted? |
| A. | 0 |
| B. | 1 |
| C. | 6 |
| D. | 4 |
| Answer» B. 1 | |
| 31. |
Direction: A solid cube of each side 4 cm has been painted all faces. It is then cut into cubical blocks each of side 2 cm. How many cubes have only one face painted? |
| A. | 0 |
| B. | 2 |
| C. | 4 |
| D. | 8 |
| Answer» B. 2 | |
| 32. |
Count the number of cubes in the given figure. (SOF NCO 2016) |
| A. | 58 |
| B. | 55 |
| C. | 21 |
| D. | 56 |
| Answer» E. | |
| 33. |
How many blocks are there in the given figure? |
| A. | 10 |
| B. | 14 |
| C. | |
| D. | 20 |
| Answer» C. | |
| 34. |
Two positions of a dice are shown below. If the face with 1 dot is at the bottom, then the number of dots on the top face is (SOF NSO 2016) |
| A. | 2 |
| B. | 3 |
| C. | 8 |
| D. | 5 |
| Answer» C. 8 | |
| 35. |
Directions: A painter is given a task to paint a cubical box with six different colours for different faces of the cube. The detailed account of it is given as: (i) Red face should lie between yellow and brown faces. (ii) Green face should be adjacent to the silver face. (iii) Pink face should lie adjacent to the green face. (iv) Yellow face should lie opposite to the brown one. (v) Brown face should have face down. (vi) Silver and pink faces should lie opposite to each other. Three of the faces adjacent to red face are |
| A. | Silver, Green, Brown |
| B. | Silver, Brown, Pink |
| C. | 3 |
| D. | Yellow, Pink, Green |
| Answer» C. 3 | |
| 36. |
A solid cube is painted with a green colour on all its faces. It is then cut into small cubes of equal size, each side of the small cube is 1/4th size of the original side of the cube. Find how many small cubes have only one side painted green? |
| A. | 40 |
| B. | 24 |
| C. | 48 |
| D. | 16 |
| Answer» C. 48 | |
| 37. |
From the two positions of a dice given below, find the color which is opposite to yellow? |
| A. | Violet |
| B. | Red |
| C. | 6 |
| D. | Blue |
| Answer» B. Red | |
| 38. |
How many dots will be on the face opposite to the face bearing 2 dots? |
| A. | 1 |
| B. | 5 |
| C. | 6 |
| D. | 6 |
| Answer» E. | |
| 39. |
Direction: In each of the following questions, a sheet of paper is given in figure (X) which has to be folded to form a box. Choose a box from amongst the alternatives that is similar to the box formed. |
| A. | P |
| B. | Q |
| C. | 2 |
| D. | S |
| Answer» B. Q | |
| 40. |
Direction: A solid block if formed by arranging some cubes of equal dimensions, as shown in the figures below. The block is painted on all of its surfaces except base. How many cubes have exactly three faces coloured? |
| A. | 2 |
| B. | 4 |
| C. | 4 |
| D. | 11 |
| Answer» D. 11 | |
| 41. |
Direction: Count the number of cubes in the given solid in each of the following questions. |
| A. | 8 |
| B. | 7 |
| C. | 18 |
| D. | 5 |
| Answer» D. 5 | |
| 42. |
When the following sheet is folded to form a cube, how many dots lie opposite to the face bearing five dots? |
| A. | 1 |
| B. | 2 |
| C. | 4 |
| D. | 4 |
| Answer» D. 4 | |
| 43. |
Direction: In each of the following questions, the sheet of paper shown in the Fig. (X) is folded to form a box. Choose from amongst the options the boxes that are similar to the box that will be formed. |
| A. | 1 and 2 only |
| B. | 2 and 3 only |
| C. | |
| D. | 1, 2, 3 and 4 |
| Answer» E. | |
| 44. |
Count the number of cubes for the following figure. |
| A. | 80 |
| B. | 87 |
| C. | Pink |
| D. | 90 |
| Answer» D. 90 | |
| 45. |
How many dots are there on the dice face opposite the one with three dots? |
| A. | 2 |
| B. | 4 |
| C. | 5 |
| D. | 6 |
| Answer» D. 6 | |
| 46. |
DIRECTIONS: Count the number of cubes in each of the following figures: |
| A. | 68 |
| B. | 69 |
| C. | 70 |
| D. | 71 |
| Answer» C. 70 | |
| 47. |
Select from the alternative, the box that can be formed by folding the sheet shown in figure (X): |
| A. | A only |
| B. | A, B, and C only |
| C. | B and C only |
| D. | A, B, C and D |
| Answer» E. | |
| 48. |
DIRECTIONS(Q. 21-23): Awooden cube is painted blue on all the four adjoining sides and green on two oppositesides i.e. top and bottom. It is then cut at equal distances at right anglesfour times vertically (top to bottom) and two times horizontally (along the sides)as shown in the figure, where the dotted lines represent the cuts made. Studythe diagram and answer the following questions: How many cubes will have one face painted only in Green |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» C. 3 | |