COMMON APTITUDE QUESTIONS AND ANSWERS UPDATED
2026
# Term Definition
1 Equilateral Triangle
If perimeter of the triangle is given,
which triangle will have the maximum
area?
2 Area of equilateral triangle
3 Area of a regular hexagon
4 Height of equilateral triangle
5 Intersecting Chord Theorem PA PB = PC PD
, 6 Tangent Secant Theorem (AB)^2 = BC * BD
7 Right Angled Triangle
If two unequal sides of a triangle are
given, which triangle will have the
maximum area?
# Term Definition
8 n(n-3)/2
Number of diagonals in a polygon
9 Zero
For an odd sided polygon, how many
diagonals pass through the center?
10 n/2
For an even sided polygon how many
diagonals pass through the center?
11 If two lines are parallel, they will have
True. If two lines are parallel, they will be of the form
the same coefficients on x and y. True
Ax1 + By1 + C1 = 0 and Ax2 + By2 + C2 = 0. This is same
or false?
as the linear equation property which states that for
two linear equations, if A1/A2 = B1/B2 != C1/C2 then
the lines are parallel and the equations have no
solution.
12 Parallel
A1/A2 = B1/B2 != C1/C2. Lines are
parallel or incident on each other?
13 -1
Product of slope of two perpendicular
lines
14 m
If slope of one line is m, then slope of
lines parallel to m will be
, 15
If quadratic equation is positive for all negative. Vice versa is also true. If discriminant is
values of x, then always negative, then quadratic equation is always
discriminant is positive or negative but never zero.
16 negative
If quadratic equation is positive or
negative for all values of x, then
discriminant is
17 Negative (as the equation has no real roots)
If quadratic equation is negative for all
values of x, then
discriminant is
18
Sum of roots of any polynomial -b/a, where b is the second term's coefficient and a is
equation the first term's coefficient
# Term Definition
19
Product of roots of any polynomial If degree of the equation is odd, then -z/a. If degree of
equation equation is even, then z/a.
20 c/a, where c is the third term's coefficeint
Sum of roots taken two at a time for
cubic equation
21 2a
Longer Diagonal of Regular Hexagon
22 (Root 3) a
Shorter Diagonal of Regular Hexagon
23 Incenter
Where do all angle bisectors of triangle
meet?
24 Circumcenter
Where do all perpendicular bisectors of
triangle meet?
25 Centroid
Where do all medians of a triangle
meet?
2026
# Term Definition
1 Equilateral Triangle
If perimeter of the triangle is given,
which triangle will have the maximum
area?
2 Area of equilateral triangle
3 Area of a regular hexagon
4 Height of equilateral triangle
5 Intersecting Chord Theorem PA PB = PC PD
, 6 Tangent Secant Theorem (AB)^2 = BC * BD
7 Right Angled Triangle
If two unequal sides of a triangle are
given, which triangle will have the
maximum area?
# Term Definition
8 n(n-3)/2
Number of diagonals in a polygon
9 Zero
For an odd sided polygon, how many
diagonals pass through the center?
10 n/2
For an even sided polygon how many
diagonals pass through the center?
11 If two lines are parallel, they will have
True. If two lines are parallel, they will be of the form
the same coefficients on x and y. True
Ax1 + By1 + C1 = 0 and Ax2 + By2 + C2 = 0. This is same
or false?
as the linear equation property which states that for
two linear equations, if A1/A2 = B1/B2 != C1/C2 then
the lines are parallel and the equations have no
solution.
12 Parallel
A1/A2 = B1/B2 != C1/C2. Lines are
parallel or incident on each other?
13 -1
Product of slope of two perpendicular
lines
14 m
If slope of one line is m, then slope of
lines parallel to m will be
, 15
If quadratic equation is positive for all negative. Vice versa is also true. If discriminant is
values of x, then always negative, then quadratic equation is always
discriminant is positive or negative but never zero.
16 negative
If quadratic equation is positive or
negative for all values of x, then
discriminant is
17 Negative (as the equation has no real roots)
If quadratic equation is negative for all
values of x, then
discriminant is
18
Sum of roots of any polynomial -b/a, where b is the second term's coefficient and a is
equation the first term's coefficient
# Term Definition
19
Product of roots of any polynomial If degree of the equation is odd, then -z/a. If degree of
equation equation is even, then z/a.
20 c/a, where c is the third term's coefficeint
Sum of roots taken two at a time for
cubic equation
21 2a
Longer Diagonal of Regular Hexagon
22 (Root 3) a
Shorter Diagonal of Regular Hexagon
23 Incenter
Where do all angle bisectors of triangle
meet?
24 Circumcenter
Where do all perpendicular bisectors of
triangle meet?
25 Centroid
Where do all medians of a triangle
meet?
