Explore topic-wise MCQs in Mathematics.

This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

Direction: In each of the following questions, a figure X is given. Choose a figure from the four options such that this figure and the figure X can form a complete square after fitting into each other.

A.    
B.   
Answer» C.
Discussion
2.

 Direction: In each of the following questions, a Fig. (X) is given. Select one figure from the four alternative figures, which fits exactly into the given Fig. (X) in order to form a complete square.

A.  
B.  
C.  R    
Answer» C.  R    
Discussion
3.

Direction: In each of the following questions, four or five geometrical figures are shown. Some of them when fitted together form an equilateral triangle. In order to form such a complete equilateral triangle choose the appropriate alternative.  

A. QSR 
B. RSP 
C.  6    
D. PRQ
Answer» B. RSP 
Discussion
4.

Direction: In each of the following questions a set of five figures 1, 2, 3, 4 and 5 is provided. Out of them three figures when fitted into each other forms a complete square. Choose an option representing such three figures.

A. 14 5 
B. 2 4 5
C.  3 and 4 only
D. 2 3 4
Answer» C.  3 and 4 only
Discussion
5.

Direction: In each of the following questions, four or five geometrical figures are given You have to select an option that contains all the segments of a complete square.

A. RST 
B. QRT
C.
D. PQR
Answer» B. QRT
Discussion
6.

The construction of a\[\Delta LMN\]in which LM = 8 cm, \[\angle L={{45}^{o}}\]is possible when (MN + LN) is ___ .

A. 6 cm
B. 7 cm
C. 9 cm
D. 5 cm
Answer» D. 5 cm
Discussion
7.

Given below are the steps of construction of two tangents to the circle (without using the centre of the circle) of radius 4 cm from point P. Which of the following steps is INCORRECT? Steps of Construction Step I: Draw a circle of radius 4 cm and take a point P outside the circle and draw a secant PAB, intersecting the circle at A and B. Step II: Produce AP to C such that\[AP=CP\]. Draw a semicircle with CB as diameter. Step III: Draw PD 1 CB, intersecting the semicircle at D. With P as centre and PC as radius draw arcs to intersect the given circle at T and T. Step IV: Join PT and PT. Then, PT and PT are the required tangents.

A. Only Step I
B. Both Step I and Step II
C. Only Step III
D. Both Step II and Step IV
Answer» D. Both Step II and Step IV
Discussion
8.

Which of the following steps of construction is INCORRECT while drawing a tangent to a circle of radius 5 cm and making an angle of 30° with a line passing through the centre. Steps of Construction Step I: Draw a circle with centre O and radius\[2.5\text{ }cm\]. Step II: Draw a radius OA of this circle and produce it to B. Step III: Construct an angle \[\angle AOP\] equal to the complement of \[{{30}^{o}}\] i.e. equal to\[{{150}^{o}}\]. Step IV: Draw perpendicular to OP at P which intersects OA produced at Q. Clearly, PO is the desired tangent such that \[\angle OQP={{30}^{o}}\]

A. Both I and III
B. Only III
C. Both III and IV
D. Only I
Answer» B. Only III
Discussion