MAT (Stage-1) Mock Test - 78

A is the brother of B.

From the given information:
One of them is a cricketer and studies Chemistry and Biology.
Harish is a boxer. The boxer studies Mathematics and Accountancy.

Now using the second part of the information we get :
One football player also studies Physics.
Both the football players study Mathematics.

Using the next part of the information:
Both Anil and Sushil play football.
Anil studies Commerce.
We get :

(Which leaves Cricket with Raju by elimination)

Raju is a Cricketer.

From the given information:
One of them is a cricketer and studies Chemistry and Biology.
Harish is a boxer. The boxer studies Mathematics and Accountancy.
 

Now using the second part of the information we get :
One football player also studies Physics.
Both the football players study Mathematics.
 

Using the next part of the information:
Both Anil and Sushil play football.
Anil studies Commerce.
We get :
 

(Which leaves Cricket with Raju by elimination)

Raju does not study Mathematics.

From the given information:
One of them is a cricketer and studies Chemistry and Biology.
Harish is a boxer. The boxer studies Mathematics and Accountancy.
 

Now using the second part of the information we get :
One football player also studies Physics.
Both the football players study Mathematics.
 

Using the next part of the information:
Both Anil and Sushil play football.
Anil studies Commerce.
We get :
 

(Which leaves Cricket with Raju by elimination)

Sushil studies Physics.

From the given information:
One of them is a cricketer and studies Chemistry and Biology.
Harish is a boxer. The boxer studies Mathematics and Accountancy.
 

Now using the second part of the information we get :
One football player also studies Physics.
Both the football players study Mathematics.
 

Using the next part of the information:
Both Anil and Sushil play football.
Anil studies Commerce.
We get:
 

(Which leaves Cricket with Raju by elimination)
Anil studies Commerce and plays football.

Given figures are divided into triangles. But in figure (4), one part is not a triangle, but a quadrilateral.

To draw these figures, five straight lines are used. But in figure (4), six straight lines are used.

Figures (1), (2) and (4) are exactly same, but rotated. Figure (3) is different as it is the rotated mirror image of the other figures.

As we move, former position of circle is shifted 1 step, position of x is shifted 2 steps and position of triangle is shifted 3 steps. All these elements move in clockwise direction.

The element at the top exchanges their position diagonally with the bottom elements and after exchanging the new top elements interchange their positions. Further, while the hexagon rotates 90°, triangle and the pentagon rotate 180°. Applying the same logic,

Problem figure (2) is the mirror image of problem figure (1), but with inverse operations. Hence, to get the missing figure, the operations in problem figure (3) will become opposite, that is, '÷' will become '×' and vice versa.

The central small line segment in the first figure of the first set is extended end to end and results in the second figure of the first set. Going by the same logic for the second set, option (1) is correct and should replace the question mark.

When we turn the figure in option (d), it will complete the given figure. The correct answer is option (4).

There are 6 single triangles, i.e. ACD, ADE, BCI, EGF, HIJ and FGK.
There are 6 triangles composed of two components each, i.e. ACE, AHG, EFK, AHI, FDH and GIK.
There are 4 triangles composed of three components each, i.e. AIJ, AJK, CFI and FIK.
There are 2 triangles composed of four components each, i.e. BIF and AIG.
There is one triangle composed of six components, i.e. AIK.
Total number of triangles = 6 + 6 + 4 + 2 + 1 = 19