Q.1 Find the minimum number of straight lines required to make the given figure.

A) 16

B) 17

C) 18

D) 19

Ans. B

The horizontal lines are IK, AB, HG and DC i.e. 4 in number.

The vertical lines are AD, EH, JM, FG and BC i.e. 5 in number.

The slanting lines are IE, JE, JF, KF, DE, DH, FC and GC i.e. 8 is number.

Thus, there are 4 + 5 + 8 = 17 straight lines in the figure.

Q.2 Choose the correct water image of the given figure (X) from amongst the four alternatives.

A) 1

B) 2

C) 3

D) 4

Ans. B

Q.3 Observe the dots on a dice (one to six dots) in the following figures. How many dots are contained on the face opposite to that containing four dots?

A) 2

B) 3

C) 6

D) Can’t be determined

Ans. A

We shall assume the dice in fig. (ii) to be rotated so that the 5 dots appear at the same position as in fig. (i) i.e. on RHS face (i.e. on face II as per activity 1) and 1 dot appears at the same position as in fig; (i) i.e. on Front face (i.e. on face I). Then, from the, two figures, 2 dots appear on the top face (i.e. on face V) and 4 dots appear on the Bottom face (i.e. on face VI).

Since, these two faces are opposite to each other, therefore, two dots are contained on the face opposite to that containing four dots.

Q.4 Choose the correct water image of the given figure (X) from amongst the four alternatives.

A) 1

B) 2

C) 3

D) 4

Ans. B

Q.5 Find the number of triangles in the given figure.

A) 11

B) 13

C) 15

D) 17

Ans. C

The figure may be labelled as shown.

The simplest triangles are AKI, AIL, EKD, LFB, DJC, BJC, DHC and BCG i.e. 8 in number.

The triangles composed of two components each are AKL, ADJ, AJB and DBC i.e. 4 in number.

The triangles composed of the three components each are ADC and ABC i.e. 2 in number.

There is only one triangle i.e. ADB composed of four components=8+ 4 + 2 + 1= 15 triangles