video lectures for basic math
Question 1: Can a triangle be formed by
line segments of lengths `a`, `b`, and `c`,
such that ` a > b – c`?
a) No
b) Yes
c) Equal
d) (c),(b)
Question 02: Sum of all the exterior angle in triangle
(a) `180^{\circ}`
(b) `360^{\circ}`
(c) `90^{\circ}`
(a) None of the above
Question 3: If two complementary angles
are in the ratio `7 : 11`, find the
supplement of the bigger angle.
a) `100°`
b) `125°`
c) `150°`
d) `90°`
Question 4: If the sum of the interior
angles of a polygon is `2340°`, then
find the number of sides of the polygon.
a) `15`
b) `20`
c) `10`
d) `25`
Question 5: . In the following figure,
`PQ | | RS`. If `∠TRS = 105°`,
`∠PTR = 35°`, `∠QPT = a°`,
find the value of `a`.
a) `135°`
b) `150°`
c) `125°`
d) `120°`
Question 6:
In the above figure, find the value of `z`, if x is two third of y which is a complement of `45°`.
a) `70°`
b) `75°`
c) `65°`
d) `85°`
Question 7: . In the following figure, if `O` is the centre of the circle and `AB` is the diameter, then find `∠ACB`.
a) `75°`
b) `65°`
c) `70°`
d) `60°`
Question 8: In the given quadrilateral
ABCD, p°+q°=100°, a°=140° and
`r°``= \frac{1}{2}`(a°+q°).
Find the angles `p°`, `q°`, `r°` and `s°`.
a) `p = 40°`, `q = 60°`, `r = 100°`, `s = 160°`
b) `p = 40°`, `q = 120°`, `r = 100°`, `s = 160°`
c) `p = 40°`, `q = 60°`, `r = 120°`, `s = 160°`
d) `p = 40°`, `q = 60°`, `r = 100°`, `s = 140°`
Question 9: In the following figure, `O` is
the center of the circle. If `x = 40°` and
`x : y = 4 : 3`, find the value of `z`.
a) `150°`
b) `140°`
c) `120°`
d `130°`
Question 10: Find the length of the sides
of the given parallelogram, if the perimeter
of the parallelogram is `24 cm`, the length
of perpendicular `OF = 3 cm`, `OB = 5 cm`
and `OC= \sqrt{18} cm`.
a) `BC = 5 cm = AD` and `AD = 7 cm = CD`
b) `BC = 7cm = AD` and `AB = 5 cm = CD`
c) `BC = 5 cm = AD` and `AB = 7 cm = CD`
d) `BC = 5 cm = AB` and `AB = 7 cm = CD`
Question 11: If d is the distance from a point
`P` to the centre of the circle of radius `r` and
`d – r > 0`, then the point `P`
lies _________ the circle.
a) outside
b) inside
c) on
d) none of these
Question 12: In the following figure, `ABC`
is an equilateral triangle. `DE` is parallel to
`BC` and equal to half the length of `BC`.
If `AD + EC + CB = 24 cm`, then what is the
perimeter of triangle `ADE`?
(a) `12 cm`
(b) `16 cm`
(c) `18 cm`
(d) Cannot be determined
Question 13: A cyclic polygon has n sides
such that each of its interior angle
measures `144°`. What is the measure of
the angle subtended by each of its side
at the geometrical centre of the polygon?
(a) `144°`
(b) `30°`
(c) `36°`
(d) `54°`
Question 14: In the following figure, `ΔABC`
is right-angled at `C`, and `M` is the
midpoint of hypotenuse `AB`. If `AC = 32 cm`
and `BC = 60 cm`, then find the length of `CM`.
(a) `32 cm`
(b) `30 cm`
(c) `17 cm`
(d) `34 cm`
Question 15: In the following figure, `ΔPQR` is
right-angled at `R` and `S` is the mid-point of
hypotenuse `PQ`. If `RS = 25 cm` and `PR = 48 cm`,
then find `QR`.
(a) `7 cm`
(b) `25 cm`
(c) `14 cm`
(d) Cannot be determined
Question 16: The bisectors of two adjacent angles
in a parallelogram meet at a point `p` inside
the parallelogram. The angle made by these
bisectors at a point is ________.
(a) `180°`
(b) `90°`
(c) `45°`
(d) None of these
Question 17: The angle subtended by a minor arc
in its alternate segment is ________.
(a) acute
(b) obtuse
(c) `90°`
(d) reflex angle
Question 18: `ABC` is a triangle inscribed in a circle,
`AC` being the diameter of the circle. The length of
`AC` is as much more than the length of `BC` as
the length of `BC` is more than the length of `AB`. Find `AC : AB`.
(a) `5 : 3`
(b) `5 : 4`
(c) `6 : 5`
(d) `3 : 2`
Question 19: A tower of height `60 m` casts a `40 m`
long shadow on the ground. At the same time,
a needle of height `12 cm` casts a x cm long
shadow the ground. Find x.
(a) `6`
(b) `8`
(c) `10`
(d) `14`
Q1 (b), Q2 (b), Q3 (b), Q4 (a), Q5 (a), Q6 (b), Q7 (d), Q8 (a), Q9 (b), Q10 (c), Q11 (a), Q12 (c), Q13 (c), Q14 (d), Q15 (c), Q16 (b), Q17 (a), Q18 (a), Q19 (b).
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