Posted on - 28-04-2017

Bank PO

Missing numbers in the figures : In these type of questions certain numbers are given in

(a) figure or figures with a blank space. The numbers given in the figures have certain relationship among them. Identify the relationship among the given numbers and find the missing number(s) in the figure. Let us discuss the concept with the following examples.

Find the missing number numbers in the figure.

3 |
5 |
8 |
12 |

11 |
13 |
16 |
20 |

9 |
? |
14 |
18 |

(a) 12

(b) 11

(c) 10

(d) 16

The logic in the first row is = 3^{+2},^{ }5^{+3},^{
}8^{+4},^{ }12.

The logic in the second row is = 11^{+2},^{ }13^{+3},^{
}16^{+4},^{ }20.

Similarly the logic in the third row is = 9^{+1},^{
}11^{+3},^{ }14^{+4},^{ }18.

The missing number in the figure is 11.

Find the missing number in the given figure.

The given logic is as shown below.

Similarly

The missing number in the figure is 27. Choice (a)

Counting Triangles : Though it is named as counting triangles the questions may be based on the counting triangles squares, rectangles etc. In these questions a geometrical figure is given (which may be regular or irregular in shape) and asked to count the number of regular geometrical figures (triangles, squares etc.) hidden in the given figure.

Let us discuss the concept with the following examples.

Find the number of triangles in the given figure.

(a) 5

(b) 6

(c) 7

(d) 8

Let us represents the vertices in the given Geometrical figures with the alphabet as shown below.

In the A^{le} ABC, we have the smaller triangles,
i.e., ADE.

CDF, BEF and DEF.

The total number of triangles are 5.

Choice (a)

Find the number of squares in the given figure.

(a) 12

(b) 9

(c) 10

(d) 11

Let us represent the vertices in the given Geometrical figure with the alphabet as shown below.

The squares in the given figure are ABCD, AEQH, EQBF. QFCG, HQGD, IJKL, IMQP, MJNQ, QNKO and QOLP .

The total number of squares are 10.

Find the number of triangles in the given figure.

(a) 18

(b) 19

(c) 20

(d) 21

Let us represent the given vertices on the given Geometrical figure with the alphabet as shown below.

The triangles in the given figure are – ABC, DEF, GHI, AGJ, DKH, ADL, JKL, MLN, GKE, JBH, GCE, LEB, HBF, GOP, HQR, PME, NQB, EBI, PQI, AON and DMR.

The total number of triangles are 21.

Choice (d)