In each of the following questions, find out which of the answer figures (1), (2), (3) and (4) completes the figure matrix ?

1.

Select a suitable figure from the four alternatives that would complete the figure matrix.

A.

1

B.

2

C.

3

D.

4

Answer: Option A

Explanation:

In each row, the central part of the first figure rotates either 90^{o} CW or 90^{o} ACW to form the central part of the second figure and the central part of the first figure rotates through 180^{o} to form the central part of the third figure. Also, in each row, there are 3 types of side elements - rectangles, circles and triangles.

Each of the following questions consists of five figures marked A, B, C, D and E called the Problem Figures followed by five other figures marked 1, 2, 3, 4 and 5 called the Answer Figures. Select a figure from amongst the Answer Figures which will continue the same series as established by the five Problem Figures.

2.

Select a figure from amongst the Answer Figures which will continue the same series as established by the five Problem Figures.

Problem Figures: Answer Figures:

(A) (B) (C) (D) (E) (1) (2) (3) (4) (5)

A.

1

B.

2

C.

3

D.

4

E.

5

Answer: Option C

Explanation:

The two elements together move two spaces (each space is equal to half-a-side of the square boundary) and three space ACW alternately. Also, in one step, the two elements interchange positions and together rotate 90^{o}CW and in the next step, the two elements interchange positions and together rotate through 180^{o}.

In each of the following problems, a square transparent sheet (X) with a pattern is given. Figure out from amongst the four alternatives as to how the patter would appear when the transparent sheet is folded at the dotted line.

4.

Find out from amongst the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line.

From amongst the figures marked (1), (2), (3) and (4), select the figure which satisfies the same conditions of placement of the dots as in figure (X).

7.

Select the figure which satisfies the same conditions of placement of the dots as in Figure-X.

A.

1

B.

2

C.

3

D.

4

Answer: Option D

Explanation:

In fig. (X), one of the dots lies in the region common to the square and the triangle only and the other dot lies in the region common to all the three figures - the circle, the square and the triangle. In each of the alternatives (1) and (2), there is no region common to the square and the triangle only. In alternative (3), there is no region common to all the three figures. Only, alternative (4) consists of both the types of regions.

The sheet of paper shown in the figure (X) given on the left hand side, in each problem, is folded to form a box. Choose from amongst the alternatives (1), (2), (3) and (4), the boxes that are similar to the box that will be formed.

8.

Choose the box that is similar to the box formed from the given sheet of paper (X).

A.

1 and 2 only

B.

2, 3 and 4 only

C.

4 only

D.

3 and 4 only

Answer: Option D

Explanation:

The fig. (X) is similar to the Form V. So, when the sheet in fig. (X) is folded to form a cube, then the face bearing a square lies opposite to the face bearing a circle. Therefore, the cubes shown in figures (1) and (2) which have the faces bearing the square and the circle adjacent to each other, cannot be formed. Hence, only the cubes in figures (3) and (4) can be formed.

Each of the following questions consists of two sets of figures. Figures A, B, C and D constitute the Problem Set while figures 1, 2, 3, 4 and 5 constitute the Answer Set. There is a definite relationship between figures A and B. Establish a similar relationship between figures C and D by selecting a suitable figure from the Answer Set that would replace the question mark (?) in fig. (D).

9.

Select a suitable figure from the Answer Figures that would replace the question mark (?).

Problem Figures: Answer Figures:

(A) (B) (C) (D) (1) (2) (3) (4) (5)

A.

1

B.

2

C.

3

D.

4

E.

5

Answer: Option B

Explanation:

The middle and the inner elements get enlarged to become the outer and the middle elements respectively. The outer element gets reduced in size and becomes the inner element.

In each problem, out of the five figures marked (1), (2), (3), (4) and (5), four are similar in a certain manner. However, one figure is not like the other four. Choose the figure which is different from the rest.

10.

Choose the figure which is different from the rest.

(1) (2) (3) (4) (5)

A.

1

B.

2

C.

3

D.

4

E.

5

Answer: Option B

Explanation:

In each one of the figures, except fig. (2), the number of sides in the inner element is one more than the number of sides in the outer element.

In each of the following questions, choose the correct mirror images of the given image of the Fig.(X) from amongst the four alternatives (1), (2), (3) and (4) given along with it.

11.

Choose the correct mirror image of the given figure (X) from amongst the four alternatives.

In each of the following questions, you are given a figure (X) followed by four alternative figures (1), (2), (3) and (4) such that figure (X) is embedded in one of them. Trace out the alternative figure which contains fig. (X) as its part.

14.

Find out the alternative figure which contains figure (X) as its part.

In each of the following questions, choose the water image of the Fig.(X) from amongst the four alternatives (1), (2), (3) and (4) given along with it.

15.

Choose the correct water image of the given figure (X) from amongst the four alternatives.

Each of the following questions consists of a set of three figures X, Y and Z showing a sequence of folding of apiece of paper. Figure (Z) shows the manner in which the folded paper has been cut. These three figures are followed by four answer figures from which you have to choose a figure which would most closely resemble the unfolded form of figure (Z).

16.

Choose a figure which would most closely resemble the unfolded form of Figure (Z).

Each of the following questions consists of five figures marked A, B, C, D and E called the Problem Figures followed by five other figures marked 1, 2, 3, 4 and 5 called the Answer Figures. Select a figure from amongst the Answer Figures which will continue the same series as established by the five Problem Figures.

18.

Select a figure from amongst the Answer Figures which will continue the same series as established by the five Problem Figures.

Problem Figures: Answer Figures:

(A) (B) (C) (D) (E) (1) (2) (3) (4) (5)

A.

1

B.

2

C.

3

D.

4

E.

5

Answer: Option C

Explanation:

The pin rotates 45^{o}CW and 90^{o}CW alternately and moves one space (each space is equal to half-a-side of the square) and two spaces CW alternately. The arrow rotates 90^{o}ACW and 45^{o}ACW alternately and moves two spaces and one space.

Four usual dice are thrown on the ground. The total of numbers on the top faces of these four dice is 13 as the top faces showed 4, 3, 1 and 5 respectively. What is the total of the faces touching the ground?

A.

12

B.

13

C.

15

D.

Cannot be determined

Answer: Option C

Explanation:

In a usual dice, the sum of the numbers on any two opposite faces is always 7. Thus, 1 is opposite 6, 2 is opposite 5 and 3 is opposite 4.

Consequently, when 4, 3, 1 and 5 are the numbers on the top faces, then 3, 4, 6 and 2 respectively are the numbers on the face touching the ground. The total of these numbers = 3 + 4 + 6 + 2 = 15.

What will be the number at the bottom, if 5 is at the top; the two positions of the dice being as given below:

A.

1

B.

2

C.

3

D.

6

Answer: Option B

Explanation:

From figures (i) and (ii), it is clear that 4, 1, 3 and 6 he adjacent to 2. Therefore, 5 must lie opposite 2. Thus, if 5 is at the top, then 2 must be at the bottom.