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- Question
Count the number of triangles and squares in the given figure.
Options- Correct Answer
- 21 triangles, 7 squares
ExplanationThe figure may be labelled as shown.
Triangles :
The simplest triangles are BPN, PNE, ABM, EFG, MLK, GHI, QRO, RSO, STO and QTO i.e. 10 in number.
The triangles composed of two components each are BPE, TQR, QRS, RST and STQ i.e. 5 in number.
The triangles composed of three components each are MPO and GPO i.e. 2 in number.
The triangles composed of six components each are LPJ, HPJ and MPG i.e. 3 in number.
There is only one triangle LPH composed of twelve components.
Total number of triangles in the figure = 10 + 5 - 2 + 3 + 1 = 21.
Squares :
The squares composed of two components each are KJOM and JIGQ i.e. 2 in number.
The squares composed of three components each are ANOM, NFGO and CDEB i.e.3 in number.
There is only one square i.e. QRST composed of four components.
There is only one square i.e. AFIK composed of ten components.
Total number of squares in the figure = 2 + 3 + 1 + 1 = 7.
More questions
- 6. Choose the figure which is different from the rest.
(1) (2) (3) (4) (5)
Options
Discuss
Correct Answer: 4
Explanation:
Only fig. (4) contains three diameters of the circle.- 7. Find out from amongst the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line.
(X) (1) (2) (3) (4)
Options
Discuss
Correct Answer: 3
- 8. 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)
Options
Discuss
Correct Answer: 3
Explanation:
In each step, element at the upper-right position gets enlarged, inverts vertically and reaches the lower-left corner; the existing element at the lower-left position, is lost and a new small element appears at the upper-right position.- 9. Choose a figure which would most closely resemble the unfolded form of Figure (Z).
Options
Discuss
Correct Answer: 2
- 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)
Options
Discuss
Correct Answer: 1
Explanation:
One circle is replaced by a new symbol in each step and this replacement takes place on either ends alternately. The complete figure rotates 45 oACW in each step.
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- 6. Choose the figure which is different from the rest.