24740 + Interview Questions in Mathematics

1.	The payment mechanism typical to e-business(a) cash on delivery (CoD)(b) cheques(c) credit and debit cards(d) e-cash
Answer» The payment mechanism typical to e-business (a) cash on delivery (CoD) (b) cheques (c) credit and debit cards (d) e-cash

1.

The payment mechanism typical to e-business(a) cash on delivery (CoD)(b) cheques(c) credit and debit cards(d) e-cash

Answer»

The payment mechanism typical to e-business

(a) cash on delivery (CoD)

(b) cheques

(c) credit and debit cards

(d) e-cash

Discussion

2.	A rhombus shaped sheet with perimeter 40 cm and one diagonal 12 cm, is painted on both sides at the rate of ₹5 per cm2. Find the cost of painting the sheet.
Answer» A rhombus shaped sheet with perimeter 40 cm and one diagonal 12 cm, is painted on both sides at the rate of ₹5 per $c m^{2}$ . Find the cost of painting the sheet.

Discussion

3.	Question 17Prove that the line joining the mid-point of the diagonals of a trapezium is parallel to the parallel sides of the trapezium.
Answer» Question 17 Prove that the line joining the mid-point of the diagonals of a trapezium is parallel to the parallel sides of the trapezium.

Discussion

4.	If 9x2-b=3x+12 3x-12, then the value of b is(a) 0(b) 12(c) 14(d) 12
Answer» ^{If $9 x^{2} - b = (3 x + \frac{1}{2}) (3 x - \frac{1}{2})$ ,}then the value of b is (a) 0 (b) $\frac{1}{\sqrt{2}}$ (c) $\frac{1}{4}$ (d) $\frac{1}{2}$

Discussion

5.	Prove that (2√3−1) is an irrational number.
Answer» Prove that $(2 \sqrt{3} - 1)$ is an irrational number.

Discussion

6.	P, Q, R, S are respectively the midpoints of the sides AB, BC, CD and DA of \|\|gm ABCD. Show that PQRS is a parallelogram and also show that ar(\|\|gm PQRS)=12ar(\|\|gm ABCD).
Answer» P, Q, R, S are respectively the midpoints of the sides AB, BC, CD and DA of \|\|gm ABCD. Show that PQRS is a parallelogram and also show that $a r (\| \| g m P Q R S) = \frac{1}{2} a r (\| \| g m A B C D)$ .

Discussion

7.	There is a circular track with the distance of track from centre as 10 m. Ram runs a distance of 21 m on the track. What is the angle in degrees covered by Ram with respect to the centre of track?
Answer» There is a circular track with the distance of track from centre as 10 m. Ram runs a distance of 21 m on the track. What is the angle in degrees covered by Ram with respect to the centre of track?

Discussion

8.	A point on the line x + y = 0 can be represented as
Answer» A point on the line x + y = 0 can be represented as

Discussion

9.	Question 83 (xv)Multiply the following:(a2−b2),(a2+b2)
Answer» Question 83 (xv) Multiply the following: $(a^{2} - b^{2}), (a^{2} + b^{2})$

Discussion

10.	The altitude of a circular cylinder is increased six times and the base area is decreased one-ninth of its value. The factor by which the lateral surface of the cylinder increases, is(a) 23(b) 12(c) 32(d) 2
Answer» The altitude of a circular cylinder is increased six times and the base area is decreased one-ninth of its value. The factor by which the lateral surface of the cylinder increases, is (a) $\frac{2}{3}$ (b) $\frac{1}{2}$ (c) $\frac{3}{2}$ (d) 2

Discussion

11.	If a,b,c are three sides of the triangle, then the perimeter of the triangle is
Answer» If a,b,c are three sides of the triangle, then the perimeter of the triangle is

Discussion

12.	ABCD is a parallelogram with an area of 48 cm2. If AC is a diagonal of the parallelogram, what is the area of △ACD ?
Answer» ABCD is a parallelogram with an area of $48 c m^{2}$ . If AC is a diagonal of the parallelogram, what is the area of $△ A C D$ ?

Discussion

13.	In the given figure, AD = DB and AE = EC. Then, BC:DE=___.
Answer» In the given figure, AD = DB and AE = EC. Then, $B C : D E =$ ___.

Discussion

14.	The figure given below shows a circle with centre O in which diameter AB bisects the chord CD at point E . If CD =16 cm and EB = 4 cm, then find the radius of the circle.
Answer» The figure given below shows a circle with centre O in which diameter AB bisects the chord CD at point E . If CD =16 cm and EB = 4 cm, then find the radius of the circle.

14.

The figure given below shows a circle with centre O in which diameter AB bisects the chord CD at point E . If CD =16 cm and EB = 4 cm, then find the radius of the circle.

Answer»

The figure given below shows a circle with centre O in which diameter AB bisects the chord CD at point E . If CD =16 cm and EB = 4 cm, then find the radius of the circle.

Discussion

15.	Find the mean of first six multiples of 4.
Answer» Find the mean of first six multiples of 4.

Discussion

16.	Fill in the blanks using the correct word in the given brackets:(i) All squares are ____.(similar, congruent).(ii)All ___ triangles are similar. (isosceles, equilateral)
Answer» Fill in the blanks using the correct word in the given brackets: (i) All squares are ____.(similar, congruent). (ii)All ___ triangles are similar. (isosceles, equilateral)

Discussion

17.	If we take the sum of an irrational number and a rational number, which of the following options hold true regarding the resulting sum?
Answer» If we take the sum of an irrational number and a rational number, which of the following options hold true regarding the resulting sum?

Discussion

18.	The angles of a cyclic quadrilateral ABCD are
Answer» The angles of a cyclic quadrilateral ABCD are

Discussion

19.	In the parallelogram ABCD, AB = 6 cm and DC : CB = 2 : 1. Find the perimeter of the parallelogram ABCD.
Answer» In the parallelogram ABCD, AB = 6 cm and DC : CB = 2 : 1. Find the perimeter of the parallelogram ABCD.

Discussion

20.	Consider the number 4n, where n is a natural number. Check whether there is any value of n for which 4n ends with the digit zero. [2 MARKS]
Answer» Consider the number $4^{n}$ , where n is a natural number. Check whether there is any value of n for which $4^{n}$ ends with the digit zero. [2 MARKS]

Discussion

21.	The equivalent expression for −7 − √−36 is
Answer» The equivalent expression for $- 7 - \sqrt{- 36}$ is

Discussion

22.	Question 5In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively (see the given figure). Show that the line segments AF and EC trisect the diagonal BD.
Answer» Question 5 In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively (see the given figure). Show that the line segments AF and EC trisect the diagonal BD.

Discussion

23.	Question 153 In parallelogram LOST, SN⊥OL and SM⊥LT. Find ∠STM,∠SON and ∠NSM.
Answer» Question 153 In parallelogram LOST, $S N ⊥ O L$ and $S M ⊥ L T$ . Find $∠ S T M, ∠ S O N$ and $∠ N S M$ .

Discussion

24.	In quadrilateral ABCD, M is the mid-point of AC. If area (BCDM) is 20 cm2, then find the area (ABMD). [3 MARKS]
Answer» In quadrilateral ABCD, M is the mid-point of AC. If area (BCDM) is 20 $c m^{2}$ , then find the area (ABMD). [3 MARKS]

24.

In quadrilateral ABCD, M is the mid-point of AC. If area (BCDM) is 20 cm2, then find the area (ABMD). [3 MARKS]

Answer»

In quadrilateral ABCD, M is the mid-point of AC. If area (BCDM) is 20 $c m^{2}$ , then find the area (ABMD). [3 MARKS]

Discussion

25.	Evaluate the following expression :( 22+ 1) × (102 ÷4 −20) 25
Answer» Evaluate the following expression : $(2^{2} + 1) \times (10^{2} \div 4 - 20)$ 25

Discussion

26.	Using your protractor, draw an angle of measure 108°. With this angle as given, draw an angle of 54°.
Answer» Using your protractor, draw an angle of measure 108°. With this angle as given, draw an angle of 54°.

Discussion

27.	ABCD is a parallelogram. P is the mid-point of AB. BD and CP intersect at Q such that CQ : QP = 3.1. If ar (ΔPBQ) = 10cm2, find the area of parallelogram ABCD.
Answer» ABCD is a parallelogram. P is the mid-point of AB. BD and CP intersect at Q such that CQ : QP = 3.1. If ar (ΔPBQ) = 10cm², find the area of parallelogram ABCD.

Discussion

28.	Question 3In the following figure, ABCD, DCFE and ABFE are parallelograms. Show that ar (ADE) = ar (BCF).
Answer» Question 3 In the following figure, ABCD, DCFE and ABFE are parallelograms. Show that ar (ADE) = ar (BCF).

Discussion

29.	The graph below shows the relation between the number of apples brought in some particular time.The change in y over x = 2 and x = 4 is given as y increases by m.What is the value of m?2
Answer» The graph below shows the relation between the number of apples brought in some particular time. The change in y over x = 2 and x = 4 is $given as y i n c r e a s e s b y m .$ What is the value of m? 2

Discussion

30.	Which of the following is not a quadratic surd?
Answer» Which of the following is not a quadratic surd?

Discussion

31.	Question 54When two quantities are related in such a manner that, if one increases, the other also increases, then they always vary directly.
Answer» Question 54 When two quantities are related in such a manner that, if one increases, the other also increases, then they always vary directly.

31.

Question 54When two quantities are related in such a manner that, if one increases, the other also increases, then they always vary directly.

Answer»

Question 54

When two quantities are related in such a manner that, if one increases, the other also increases, then they always vary directly.

Discussion

32.	27 spherical iron balls of radius 5 cm each are melted and recast into a big sphere. Find the radius of the big sphere formed.
Answer» 27 spherical iron balls of radius 5 cm each are melted and recast into a big sphere. Find the radius of the big sphere formed.

Discussion

33.	The total surface area of a cuboid with dimensions of 26 m, 14 m and 6.5 m respectively is ___ m2.
Answer» The total surface area of a cuboid with dimensions of $26 m, 14 m$ and $6.5 m$ respectively is ___ $m^{2}$ .

Discussion

34.	If the sum of reciprocals of intercepts made by a straight line on the co-ordinate axes is a constant K, then the line will always pass through the point
Answer» If the sum of reciprocals of intercepts made by a straight line on the co-ordinate axes is a constant $K$ , then the line will always pass through the point

Discussion

35.	In a triangle locate a point in its interior which is equidistant from all the sides of the triangle.
Answer» In a triangle locate a point in its interior which is equidistant from all the sides of the triangle.

Discussion

36.	In ΔABC, if cotA2:cotB2:cotC2=3:7:9, then a:b:c=
Answer» In $Δ A B C,$ if $cot \frac{A}{2} : cot \frac{B}{2} : cot \frac{C}{2} = 3 : 7 : 9,$ then $a : b : c =$

Discussion

37.	10. There are birds on two trees.If a bird flew from first tree to second then there are equal number of birds on both trees .However if a bird flew from second to the first tree , then the birds on the first tree are double the birds on the second tree .What are the number of birds on the first and the second tree
Answer» 10. There are birds on two trees.If a bird flew from first tree to second then there are equal number of birds on both trees .However if a bird flew from second to the first tree , then the birds on the first tree are double the birds on the second tree .What are the number of birds on the first and the second tree

Discussion

38.	(3+1)(3-cot30)=tanpower3 60^° -2sin60^°
Answer» (3+1)(3-cot30)=tanpower3 60^° -2sin60^°

Discussion

39.	Q.Let ABC be a triangle. Let D, E, F be points respectively on segments BC, CA, AB such that AD, such that AD, BE, CF concurrent at the point K. Suppose BD/DC=BF/FA and ANGLE ADB = ANGLE AFC. Prove tht ANGLE ABE = ANGLE CAD.
Answer» Q.Let ABC be a triangle. Let D, E, F be points respectively on segments BC, CA, AB such that AD, such that AD, BE, CF concurrent at the point K. Suppose BD/DC=BF/FA and ANGLE ADB = ANGLE AFC. Prove tht ANGLE ABE = ANGLE CAD.

Discussion

40.	THE SUPPLEMENT OF AN ANGLE IS TWO-THIRD ITSELF,FIND ITS COMPLEMENT
Answer» THE SUPPLEMENT OF AN ANGLE IS TWO-THIRD ITSELF,FIND ITS COMPLEMENT

Discussion

41.	In both the figures, AB \|\| CDFig(ii) shows a Parallelogram with two adjacent sides equal and one angle 90∘.Identify the two figures.
Answer» In both the figures, AB \|\| CD Fig(ii) shows a Parallelogram with two adjacent sides equal and one angle $90^{\circ}$ . Identify the two figures.

41.

In both the figures, AB || CDFig(ii) shows a Parallelogram with two adjacent sides equal and one angle 90∘.Identify the two figures.

Answer»

In both the figures, AB || CD

Fig(ii) shows a Parallelogram with two adjacent sides equal and one angle $90^{\circ}$ .

Identify the two figures.

Discussion

42.	The volume of a right circular cone is 9856 cm3. If the diameter of the base is 28 cm, find(i) height of the cone(ii) slant height of the cone(iii) curved surface area of the cone
Answer» The volume of a right circular cone is 9856 cm³. If the diameter of the base is 28 cm, find (i) height of the cone (ii) slant height of the cone (iii) curved surface area of the cone

42.

The volume of a right circular cone is 9856 cm3. If the diameter of the base is 28 cm, find(i) height of the cone(ii) slant height of the cone(iii) curved surface area of the cone

Answer»

The volume of a right circular cone is 9856 cm³. If the diameter of the base is 28 cm, find

(i) height of the cone

(ii) slant height of the cone

(iii) curved surface area of the cone

Discussion

43.	In aΔABC,if∠A−∠B=42∘ and ∠B−∠C=21∘then ∠B=?(a)32∘ (b)63∘ (c)53∘ (d)95∘
Answer» $I n a Δ A B C, i f ∠ A - ∠ B = 42^{\circ} a n d ∠ B - ∠ C = 21^{\circ} t h e n ∠ B = ? (a) 32^{\circ} (b) 63^{\circ} (c) 53^{\circ} (d) 95^{\circ}$

Discussion

44.	If bisectors of angle-A and angle-B of a quadrilateral ABCD intersect each other at point P, of angle-B and angle-C at Q, of angle-C and angle-D at R and of angle-D and angle-A at S, then show that PQRS is a quadrilateral whose opposite angles are supplementary.
Answer» If bisectors of angle-A and angle-B of a quadrilateral ABCD intersect each other at point P, of angle-B and angle-C at Q, of angle-C and angle-D at R and of angle-D and angle-A at S, then show that PQRS is a quadrilateral whose opposite angles are supplementary.

Discussion

45.	If the cost of painting the whole surface area of a cube at the rate of 13 paise per cm2 is ₹343.98, then find the volume of the cube.
Answer» If the cost of painting the whole surface area of a cube at the rate of 13 paise per cm² is ₹343.98, then find the volume of the cube.

Discussion

46.	The volume of an ice cream cone of top radius 3 cm and slant height 5 cm is(use π=3.14)
Answer» The volume of an ice cream cone of top radius 3 cm and slant height 5 cm is(use π=3.14)

Discussion

47.	P. Q, R and S are respectively the midpoints of the sides AB, BC, CD and DA of a quadrilateral ABCD. Show that (i) PQ \|\| AC and PQ=12AC (ii) PQ \|\| SR (iii) PQRS is a parallelogram.
Answer» P. Q, R and S are respectively the midpoints of the sides AB, BC, CD and DA of a quadrilateral ABCD. Show that (i) PQ \|\| AC and $P Q = \frac{1}{2} A C$ (ii) PQ \|\| SR (iii) PQRS is a parallelogram.

47.

P. Q, R and S are respectively the midpoints of the sides AB, BC, CD and DA of a quadrilateral ABCD. Show that (i) PQ || AC and PQ=12AC (ii) PQ || SR (iii) PQRS is a parallelogram.

Answer»

P. Q, R and S are respectively the midpoints of the sides AB, BC, CD and DA of a quadrilateral ABCD. Show that

(i) PQ || AC and $P Q = \frac{1}{2} A C$

(ii) PQ || SR

(iii) PQRS is a parallelogram.

Discussion

48.	ABCD is a quadrilateral in which P, Q,R and S are mid-points of the sides AB, BC, CD and DA ( see the given figure). AC is a diagonal. Show that:PQRS is a parallelogram
Answer» ABCD is a quadrilateral in which P, Q,R and S are mid-points of the sides AB, BC, CD and DA ( see the given figure). AC is a diagonal. Show that: PQRS is a parallelogram

Discussion

49.	In the given figure, ΔABC is a right triangle right angled at B. AD and CE are the two medians drawn from A and C respectivley. If AC =5 cm and AD =3√52 cm, then CE =??
Answer» In the given figure, $Δ A B C$ is a right triangle right angled at B. AD and CE are the two medians drawn from A and C respectivley. If AC =5 cm and AD $= \frac{3 \sqrt{5}}{2}$ cm, then CE =??

49.

In the given figure, ΔABC is a right triangle right angled at B. AD and CE are the two medians drawn from A and C respectivley. If AC =5 cm and AD =3√52 cm, then CE =??

Answer»

In the given figure, $Δ A B C$ is a right triangle right angled at B. AD and CE are the two medians drawn from A and C respectivley. If AC =5 cm and AD $= \frac{3 \sqrt{5}}{2}$ cm, then CE =??

Discussion

50.	Question 3If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chords.
Answer» Question 3 If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chords.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The payment mechanism typical to e-business(a) cash on delivery (CoD)(b) cheques(c) credit and debit cards(d) e-cash

A rhombus shaped sheet with perimeter 40 cm and one diagonal 12 cm, is painted on both sides at the rate of ₹5 per cm2. Find the cost of painting the sheet.

Question 17Prove that the line joining the mid-point of the diagonals of a trapezium is parallel to the parallel sides of the trapezium.

If 9x2-b=3x+12 3x-12, then the value of b is(a) 0(b) 12(c) 14(d) 12

Prove that (2√3−1) is an irrational number.

P, Q, R, S are respectively the midpoints of the sides AB, BC, CD and DA of ||gm ABCD. Show that PQRS is a parallelogram and also show that ar(||gm PQRS)=12ar(||gm ABCD).

There is a circular track with the distance of track from centre as 10 m. Ram runs a distance of 21 m on the track. What is the angle in degrees covered by Ram with respect to the centre of track?

A point on the line x + y = 0 can be represented as

Question 83 (xv)Multiply the following:(a2−b2),(a2+b2)

The altitude of a circular cylinder is increased six times and the base area is decreased one-ninth of its value. The factor by which the lateral surface of the cylinder increases, is(a) 23(b) 12(c) 32(d) 2

If a,b,c are three sides of the triangle, then the perimeter of the triangle is

ABCD is a parallelogram with an area of 48 cm2. If AC is a diagonal of the parallelogram, what is the area of △ACD ?

In the given figure, AD = DB and AE = EC. Then, BC:DE=___.

The figure given below shows a circle with centre O in which diameter AB bisects the chord CD at point E . If CD =16 cm and EB = 4 cm, then find the radius of the circle.

Find the mean of first six multiples of 4.

Fill in the blanks using the correct word in the given brackets:(i) All squares are ____.(similar, congruent).(ii)All ___ triangles are similar. (isosceles, equilateral)

If we take the sum of an irrational number and a rational number, which of the following options hold true regarding the resulting sum?

The angles of a cyclic quadrilateral ABCD are

In the parallelogram ABCD, AB = 6 cm and DC : CB = 2 : 1. Find the perimeter of the parallelogram ABCD.

Consider the number 4n, where n is a natural number. Check whether there is any value of n for which 4n ends with the digit zero. [2 MARKS]

The equivalent expression for −7 − √−36 is

Question 5In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively (see the given figure). Show that the line segments AF and EC trisect the diagonal BD.

Question 153 In parallelogram LOST, SN⊥OL and SM⊥LT. Find ∠STM,∠SON and ∠NSM.

In quadrilateral ABCD, M is the mid-point of AC. If area (BCDM) is 20 cm2, then find the area (ABMD). [3 MARKS]

Evaluate the following expression :( 22+ 1) × (102 ÷4 −20) 25

Using your protractor, draw an angle of measure 108°. With this angle as given, draw an angle of 54°.

ABCD is a parallelogram. P is the mid-point of AB. BD and CP intersect at Q such that CQ : QP = 3.1. If ar (ΔPBQ) = 10cm2, find the area of parallelogram ABCD.

Question 3In the following figure, ABCD, DCFE and ABFE are parallelograms. Show that ar (ADE) = ar (BCF).

The graph below shows the relation between the number of apples brought in some particular time.The change in y over x = 2 and x = 4 is given as y increases by m.What is the value of m?2

Which of the following is not a quadratic surd?

Question 54When two quantities are related in such a manner that, if one increases, the other also increases, then they always vary directly.

27 spherical iron balls of radius 5 cm each are melted and recast into a big sphere. Find the radius of the big sphere formed.

The total surface area of a cuboid with dimensions of 26 m, 14 m and 6.5 m respectively is ___ m2.

If the sum of reciprocals of intercepts made by a straight line on the co-ordinate axes is a constant K, then the line will always pass through the point

In a triangle locate a point in its interior which is equidistant from all the sides of the triangle.

In ΔABC, if cotA2:cotB2:cotC2=3:7:9, then a:b:c=

(3+1)(3-cot30)=tanpower3 60^° -2sin60^°

Q.Let ABC be a triangle. Let D, E, F be points respectively on segments BC, CA, AB such that AD, such that AD, BE, CF concurrent at the point K. Suppose BD/DC=BF/FA and ANGLE ADB = ANGLE AFC. Prove tht ANGLE ABE = ANGLE CAD.

THE SUPPLEMENT OF AN ANGLE IS TWO-THIRD ITSELF,FIND ITS COMPLEMENT

In both the figures, AB || CDFig(ii) shows a Parallelogram with two adjacent sides equal and one angle 90∘.Identify the two figures.

The volume of a right circular cone is 9856 cm3. If the diameter of the base is 28 cm, find(i) height of the cone(ii) slant height of the cone(iii) curved surface area of the cone

In aΔABC,if∠A−∠B=42∘ and ∠B−∠C=21∘then ∠B=?(a)32∘ (b)63∘ (c)53∘ (d)95∘

If bisectors of angle-A and angle-B of a quadrilateral ABCD intersect each other at point P, of angle-B and angle-C at Q, of angle-C and angle-D at R and of angle-D and angle-A at S, then show that PQRS is a quadrilateral whose opposite angles are supplementary.

If the cost of painting the whole surface area of a cube at the rate of 13 paise per cm2 is ₹343.98, then find the volume of the cube.

The volume of an ice cream cone of top radius 3 cm and slant height 5 cm is(use π=3.14)

P. Q, R and S are respectively the midpoints of the sides AB, BC, CD and DA of a quadrilateral ABCD. Show that (i) PQ || AC and PQ=12AC (ii) PQ || SR (iii) PQRS is a parallelogram.

ABCD is a quadrilateral in which P, Q,R and S are mid-points of the sides AB, BC, CD and DA ( see the given figure). AC is a diagonal. Show that:PQRS is a parallelogram

In the given figure, ΔABC is a right triangle right angled at B. AD and CE are the two medians drawn from A and C respectivley. If AC =5 cm and AD =3√52 cm, then CE =??

Question 3If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chords.

Fill in the blanks using the correct word in the given brackets:(i) All squares are __.(similar, congruent).(ii)All _ triangles are similar. (isosceles, equilateral)