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Miscellaneous Questions (NCERT) - Free MCQ Practice Test with solutions,


MCQ Practice Test & Solutions: Test: Miscellaneous Questions (NCERT) (10 Questions)

You can prepare effectively for NEET NCERT Based Tests for NEET with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Miscellaneous Questions (NCERT)". These 10 questions have been designed by the experts with the latest curriculum of NEET 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 10

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Test: Miscellaneous Questions (NCERT) - Question 1

If  are two vectors, then the value of  ×  is

Detailed Solution: Question 1

Test: Miscellaneous Questions (NCERT) - Question 2

If  then select the correct alternative. 

Detailed Solution: Question 2

 According to definition of cross product   is perpendicular to both

Test: Miscellaneous Questions (NCERT) - Question 3

If  are two vectors, then which of the following is not a correct statement?

Detailed Solution: Question 3

Vector product of two vectors is anti- commutative.
i.e; 

Test: Miscellaneous Questions (NCERT) - Question 4

If unit vectors  are inclined at an angle θ,Then is

Detailed Solution: Question 4

Test: Miscellaneous Questions (NCERT) - Question 5

If the angle between the vectors  is θ, the value of the product is equal to

Detailed Solution: Question 5

 We know that scalar triple product is cyclic

Test: Miscellaneous Questions (NCERT) - Question 6

Find the projection of the vector on the vector is

Detailed Solution: Question 6

Test: Miscellaneous Questions (NCERT) - Question 7

 The area of the triangle formed by the adjacent sides with and B =is

Detailed Solution: Question 7

Test: Miscellaneous Questions (NCERT) - Question 8

A body moves 6 m north. 8 m east and 10 m vertically upwards, what is its resultant displacement from initial position is

Detailed Solution: Question 8

The situation is as shown in the figure

Test: Miscellaneous Questions (NCERT) - Question 9

A man wants to reach from A to the opposite corner of the square C (Figure). The sides of the square are 100m each. A central square of 50m × 50m is filled with sand.

Outside this square, he can walk at a speed 1ms−1. In the central square, he can walk only at a speed of v ms−1(v < 1). What is smallest value of v for which he can reach faster via a straight path through the sand than any path in the square outside the sand?

Detailed Solution: Question 9


Consider the straight-line path APQC through the sand. Time is taken to go from A to C via this path

The shortest path outside the sand will be ARC. Time is taken to go from A to C via this path

Test: Miscellaneous Questions (NCERT) - Question 10

Detailed Solution: Question 10

 Let θ be angle between vectors 

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