CMAT Figures Questions

We can see that in the first and the last configuration, we are shown two corners both of which have 2 and 3, and the other side is occupied by 4 and 1 in some order. 

Two adjacent faces only share one edge and two corners.

From this we can deduce that 4 and 1 would be on the opposite faces. 

We can use the other clues to figure out the complete configuration of the cube, and open it to get the following faces:

We can see that face 1 is opposite 4. 

Therefore, Option D is the correct answer. 

In the figure, we see that the opposite triangles add up to 20. 19+1, 3+17, 15+5,2+18, 16+4 all add up to 20. Hence following this pattern, the number in the question mark when added to 6 ,should also be 20. 

Hence the number will be 20-6=14.

In the figure we can analyse individually for each of the four quadrants of a circle.. 

Top right quadrant : Exterior circle has {2, 8} .
                               Interior circle has $$216$$. 
                                            $$\rightarrow$$ $$216=6^3=\left|8-2\right|^3$$

Similarly, for top left quadrant : $$64=4^3=\left|7-3\right|^3$$
Similarly, for bottom left quadrant : $$8=2^3=\left|10-8\right|^3$$

Therefore, we can deduce for bottom right quadrant's interior number has to be $$=\left|5-2\right|^3=27$$. 

Let us look at the options one by one and decide which venn diagram each would be best represented as. 

(A) Flowers, White , Clothes.

Some Flowers are white, but not all Flowers are white. hence there will be intersection but not complete overlap. similarly, some clothes are white but all clothes are not white. Also no clothes are flower, and no flower is clothes, so there will be no overlap. Hence the correct representation will be diagram III.

(B) Furniture, Books, Table.

All table are furniture, but all furniture is not table.  Also, books are not furniture . so it will be separate. Hence , diagram I is the correct representation.

(C) Carrot, Food , Vegetable

All carrots are vegetables , but all vegetables are not carrots. Also, all vegatables are food, but all food is not vegetables .  Hence diagram IV is the correct representation . 

(D) Pocket , Shirt , Collar.

Shirts have pockets and collars. The inverse is not true , also collars and pockets are not directly related, So the correct representation will be diagram II.

Based on this, option (D) A-III, B-I, C-IV, D-II is the correct answer choice .

We are asked the individuals who satisfy all the conditions, that is, they are a part of all three groups. 

This would be the overlapping area of the triangle, square and the triangle, which is 3. 

Therefore, Option B is the correct answer 

For A, we know that potatoes should be a proper subset of Vegetables, and meat should not overlap with the set of vegetables. This is represented in II. Making A-II a match. 

For B, Law students and Management students are different groups, some portion of which will be men. The Venn-diagram in IV would be the best representation of this. 

For C, Wheat and Maize are different types of Grains, this would be represented by the Venn-diagram in I would be the most appropriate representation of this. 

For D, Oil fruit and Sugar are different entities altogether with no overlap, making the Venn-diagram in III as its best representation. 

Giving the correct matchings as A-II, B-IV, C-II, D-III

Therefore, Option B is the correct answer. 

We want teachers (elements that are part of the circle), but those who are not Doctors (part of the triangle), and not filmmakers (part of the rectangle). 

2, 5, 7, and 3 are part of the circle, and hence are the teachers. 

7 is a teacher and a doctor, and hence should not be considered. 

3 is a teacher and a filmmaker, and would also be eliminated. 

Leaving only 2 and 5 that satisfy our condition. 

Therefore, Option D is the correct answer. 

Opening up the dice with the given information we get the following figure. 

The missing value must be 6. 

On closing the dice, we would see that 2, 1 and 5 are adjacent to 3, leaving 6 to be the one opposite to 3. 

Therefore, Option D is the correct answer. 

There are 8 small squares.

There are three big squares.

And one more square that is formed by diagonals.

Total 8+3+1 = 12

From the first figure, we can calculate the middle term as the difference between the sums of the opposite terms.

First figure = (101 + 15) - (35 + 43) = 116 - 78 = 38

Second figure = (48 + 184) - (56 + 34) = 232 - 90 = 142

Therefore, the correct answer is option B.

Here is the pattern:

(21-8)*9 = 117

(34-9)*8  =200

(?-13)*5 = 110

(?-13) = 22

? = 35

Taking square root of the numbers on the edges

$$\sqrt{9}=3$$

$$\sqrt{36}=6$$

$$\sqrt{64}=8$$

$$\sqrt{169}=13$$

Adding these and dividing by 5 we get

$$\dfrac{3+6+8+13}{5}=\dfrac{30}{5}=6$$

Similarly, for the second one we get

$$\sqrt{16}=4$$

$$\sqrt{49}=7$$

$$\sqrt{9}=3$$

$$\sqrt{36}=6$$

Adding these and dividing by 5 we get

$$\dfrac{4+7+3+6}{5}=\dfrac{20}{5}=4$$

Hence, for the last one we get

$$\sqrt{81}=9$$

$$\sqrt{100}=10$$

$$\sqrt{25}=5$$

$$\sqrt{121}=11$$

Adding these and dividing by 5 we get

$$\dfrac{9+10+5+11}{5}=\dfrac{35}{5}=7$$

Hence, the answer is 7.

We make pairs that will be opposite each other after folding

We see that 

a. 1 will be opposite 2

b. 3 will be opposite 5

c. 4 will be opposite 6

Option A - 3 will be opposite 5, hence cannot be adjacent. Wrong

Option B - 4 will be opposite 6, hence cannot be adjacent. Wrong

Option C - 3 will be opposite 5, hence cannot be adjacent. Wrong

Option D - Correct

The correct position is only displayed in Option D