**Test Preparation MCQs (Maths)for All Candidates**

**Fundamental agreements are related to geometrical figures.**- Axioms
**Postulates**- both of these
- None of these

**Identify the property of equation: x = x, ∀ x ∈ R**- Transitive
**Reflexive**- Symmetric
- Additive

**Identify the property of equation: x = y, ⇔ y = x, ∀ x, y ∈ R**- Transitive
- Reflexive
**Symmetric**- Additive

**Identify the property of equation: x = y and y = z ⇒ x = z, ∀ x, y, z ∈ R****Transitive**- Reflexive
- Symmetric
- Additive

**Identify the property of equation: x = y ⇒ x + z = y + z, ∀ x, y, z ∈ R**- Transitive
**Addition**- Subtraction
- Multiplication

**Identify the property of equation: x = y ⇒ x – z = y – z, ∀ x, y, z ∈ R**- Transitive
- Addition
**Subtraction**- Multiplication

**Identify the property of equation: x = y ⇒ Xz = yz, ∀ x, y, z ∈ R**- Transitive
- Addition
- Subtraction
**Multiplication**

**It is a proposition in which some geometrical tact is stated.**- Corollary
**Theorem**- Hypothesis
- All of these

**It is a fact that readily follows from a proved theorem.****Corollary**- Theorem
- Hypothesis
- Conclusion

**Three non-collinear points determine a __________________.**- linear
**plane**- slope
- line

**Two distinct points determines a __________-.**- Linea
- Plane
- slope
**line**

**One & only one____________ can be drawn from a point not on the line.**- point
- Parallel
**perpendicular**- slope

**If a line cuts two parallel lines, then each pair of_________________ angles and each pair of______________ angles are congruent.****alternate, corresponding**- alternate, supplementary
- corresponding, complementary
- supplementary, complementary

**The measure of an exterior angle of the triangle is equal to___________ of the measurement of the non-adjacent interior angles of the triangle.**- Product
- difference
**sum**- none of these

**In a plane, if a line is perpendicular to each of the two lines, then two lines are________________**- distinct
**parallel**- perpendicular
- None of these

**If a transversal intersect two_______________ lines, the alternate angles so formed are congruent.****parallel**- distinct
- perpendicular
- None of these

**In_______________ triangle, the bisector of the angle at the vertex is the right bisector of the base.**- equilateral
**Isosceles**- scalene
- right-angled

**If a straight line stands on another straight line, the sum of the measure of the two angles so formed is equal to two________________ angles.**- acute
- obtuse
**right**- equal

**If the sum of the measure of two adjacent angles is equal to two right angles, the external arms of the angles are in_____________ line.**- intersect
- parallel
- perpendicular
**straight**

**If two line intersect each other, then the opposite vertical angles are ________________.****congruent**- different
- right angles
- straight

**If two sides of a triangle are concurrent, then the angles opposite to these sides are:****congruent**- different
- right angles
- straight

**An exterior angle of a triangle is___________________ in measure than either of its opposite interior angles.**- equal
- less
**greater**- none of these

**If a transversal intersects two coplanar Ines such that the pair of alternate angles are congruent, then the lines are ________________.**- equal
**parallel**- perpendicular
- straight

**If a transversal intersect two parallel lines, the alternate angles so formed are________________**- different
- straight
**congruent**- right angles

**The sum of the measure of the three angles of a triangle is ___________________.****180°**- 100°
- 90°
- 360°

**In_____________ reasoning we deduce particular results from general results**- inductive
**deductive**- demonstrative
- subjective

**The whole framework of deductive reasoning is based on the__________________ elements known as Basics of Reasoning.**- 6
- 5
**4**- 3

**Fundamental Agreements or Assumptions are of______________ kinds.**- 5
- 4
- 3
**2**

**A proposition (Theorem or Rider) consists of_______________ parts.**- 5
- 4
- 3
**2**

**One theorem Is said to be the converse of another theorem when the_________ is the conclusion of the other.**- Corollary
- Theorem
**Hypothesis**- All of these

**_________________ is the general statement of a geometrical truth which we are going to prove.****Enunciation**- construction
- Proof
- Given or Data

**Particular statement of the hypothesis according to the figure which we have drawn.**- Enunciation
- construction
- Proof
**Given or Data**

**Which statement is true?**- If two lines intersect, then adjacent vertical angles are congruent
**Through a point not on a line, one & only one line can be drawn parallel to the line.**- Some of the measures of three angles of triangles may be equal to 180
- In a right-angled triangle, the acute angles are supplementary,

**In a right-angled triangle the acute angles are____________ .**- supplementary
**complementary**- obtuse
- straight

**If two lines intersect, the sum of the measures of the four angles is equal to____________ right angle/angles.**- one
- two
- three
**four**

**If a number of straight lines meet at a point, the sum of the measures of all the angles between successive lines is equal to____________ right angle/angles.**- one
- two
- three
**four**

**Bisectors of the two adjacent supplementary angles are__________________- to each other.**- parallel
**perpendicular**- straight
- equal

**The symbol__________ is used for one-one correspondence.**- =
**↔**- ⇔
- ∼

**_______________ triangle is also equiangular.****Equilateral**- Isosceles
- Scalene
- right-angled

**In a triangle, If one angle is the right angle, then the other angles are_________ angles.****acute**- obtuse
- right
- equal

**From a point not on the line,____________ perpendicular/s can be drawn to the line.**- finite
- four
- two
**one & only one**

**In a plane, if a line is perpendicular to each of two lines, then the two lines are______________ .**- equal
**parallel**- perpendicular
- none of these

**Every triangle has at least__________ acute angles.**- infinite
- 3
**2**- 1

So, this is the information, every candidate wants to know before applying to Pakistan Army, Pakistan Navy, and Pakistan Air Force as Officer, Soldier, or Civilian.

**Remember me in your prayers and keep sharing these informational posts with your friends and family so, that needy one can adopt enough knowledge about the selection procedure in Pakistan Army, Pakistan Navy, and Pakistan Air Force.**

**NOTE;**Information collected from different candidates now selected in the different departments through FPSC, PPSC, ISSB, Pak Navy, Pak Army, PAF, NAB, and Pak ASF.

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