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.

1.

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 E

Explanation:

Only fig. (5) consists of equal number of black and white pins.

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.

3

B.

5

C.

6

D.

Cannot be determined

Answer: Option A

Explanation:

Number 1 is common to both the positions of the dice. We assume the dice in fig. (ii) to be rotated so that 1 dot moves to the top face (i.e. face V as per activity 1) i.e. to the same position as in fig. (i) and 2 and 4 dots move to the faces hidden behind the faces with 3 and 5 dots respectively. Thus, the combined figure will have 1 dot on the Top (i.e. on face V), 5 dots on Front face (i.e. on face I), 3 dots on RHS face (i.e. face II), 4 dots on the Rear face (i.e. face III) and 2 dots on the LHS face (i.e. face IV). Clearly, 3 dots lie on the face opposite the face having 2 dots. Therefore, when there are 2 dots at the bottom, the number of dots at the top will be 3.

Two positions of a dice with 1 to 6 dots on its sides are shown below. If the dice is resting on the side with three dots, what will be number of dots on the side at the top?

A.

1 or 5

B.

2

C.

3

D.

5

Answer: Option A

Explanation:

From figures (i) and (ii) we conclude that 2, 6 and 4 dots appear adjacent to 3 dots. Hence, either 1 or 5 dots may appear opposite 3 dots. Thus, if the dice is resting on the side with three dots, then the number of dots on the side at the top is either 1 or 5.

In each of the following questions you are given a combination of alphabets and/or numbers followed by four alternatives (1), (2), (3) and (4). Choose the alternative which is closely resembles the mirror image of the given combination.

4.

Choose the alternative which is closely resembles the mirror image of the given combination.

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).

5.

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

In each of the following questions, a set of five alternative figures 1, 2, 3, 4 and 5 followed by a set of four alternatives (A), (B), (C) and (D) is provided. It is required to select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square.

7.

Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square.

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).

8.

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 D

Explanation:

The black leaf rotates 135^{o}ACW and white leaf rotates 90^{o}ACW

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.

10.

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 A

Explanation:

Similar figure appears in every second step and each time a figure reappears, it rotates 90^{o}CW.

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 B

Explanation:

In one step, a black circle is added to the figure at the CW-end of the existing circles and a line segment is added on the upper side. In the next step, a white circle is added to the figure at the ACW-end of the existing circles and a line segment is added on the lower side.

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.

14.

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 C

Explanation:

In each one of the figures except fig. (3), the two crosses (x) appear in the diagonally opposite corners.

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).

15.

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 circle and the square 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), (2) and (3), there is no region common to the square and the circle only. Only fig. (4) consists of both the types of regions.

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.

16.

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 A

Explanation:

In each step, the dot moves one space CW and the arrow moves two spaces CW.

In each of the following questions, select a figure from amongst the four alternatives, which when placed in the blank space of figure (X) would complete the pattern.

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.

19.

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

In each of the following questions, select a figure from amongst the four alternatives, which when placed in the blank space of figure (X) would complete the pattern.