24740 + Interview Questions in Mathematics

1.	The figure formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a square, only if (a) ABCD is a rhombus (b) diagonals of ABCD are equal (c) diagonals of ABCD are perpendicular (d) diagonals of ABCD are equal and perpendicular
Answer» The figure formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a square, only if (a) ABCD is a rhombus (b) diagonals of ABCD are equal (c) diagonals of ABCD are perpendicular (d) diagonals of ABCD are equal and perpendicular

1.

The figure formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a square, only if (a) ABCD is a rhombus (b) diagonals of ABCD are equal (c) diagonals of ABCD are perpendicular (d) diagonals of ABCD are equal and perpendicular

Answer»

The figure formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a square, only if

(a) ABCD is a rhombus

(b) diagonals of ABCD are equal

(c) diagonals of ABCD are perpendicular

(d) diagonals of ABCD are equal and perpendicular

Discussion

2.	The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits are reversed. Find the number.
Answer» The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits are reversed. Find the number.

Discussion

3.	The circus tent is in the shape of a right circular cone, with base radius and height from the ground as 12 m and 16 m respectively. The area of tarpaulin required to make the tent is(Use π = 3.14)
Answer» The circus tent is in the shape of a right circular cone, with base radius and height from the ground as 12 m and 16 m respectively. The area of tarpaulin required to make the tent is(Use $π$ = 3.14)

Discussion

4.	Number of circles that can be drawn through three non-collinear points is
Answer» Number of circles that can be drawn through three non-collinear points is

Discussion

5.	If (x5-9x2+12x-14) is divided by (x – 3), the remainder is:
Answer» If ( $x^{5}$ -9 $x^{2}$ +12x-14) is divided by (x – 3), the remainder is:

Discussion

6.	How many outcomes does the experiment "rolling a pair of dice" have? __
Answer» How many outcomes does the experiment "rolling a pair of dice" have? __

Discussion

7.	In a triangle ABC, AB=AC. Show that the altitude AD is a median also.
Answer» In a triangle ABC, AB=AC. Show that the altitude AD is a median also.

Discussion

8.	Find the following products by using suitable identities: (√x-√y)(√x-√y) Pls send fast
Answer» Find the following products by using suitable identities: (√x-√y)(√x-√y) Pls send fast

8.

Find the following products by using suitable identities: (√x-√y)(√x-√y) Pls send fast

Answer»

Find the following products by using suitable identities:

(√x-√y)(√x-√y)

Pls send fast

Discussion

9.	Each edge of a cube is increased by 50%. Find the percentage increase in the surface area of a cube .
Answer» Each edge of a cube is increased by 50%. Find the percentage increase in the surface area of a cube .

Discussion

10.	In the figure, the diameter CD of a circle with centre O is perpendicular to the chord AB. If AB=12 cm and CE=3 cm, find the radius of the circle (in cm)
Answer» In the figure, the diameter $C D$ of a circle with centre $O$ is perpendicular to the chord $A B$ . If $A B = 12 c m$ and $C E = 3 c m$ , find the radius of the circle (in $c m$ )

10.

In the figure, the diameter CD of a circle with centre O is perpendicular to the chord AB. If AB=12 cm and CE=3 cm, find the radius of the circle (in cm)

Answer»

In the figure, the diameter $C D$ of a circle with centre $O$ is perpendicular to the chord $A B$ . If $A B = 12 c m$ and $C E = 3 c m$ , find the radius of the circle (in $c m$ )

Discussion

11.	Without performing long division determine the type of decimal expansion of the rational number 81/256.
Answer» Without performing long division determine the type of decimal expansion of the rational number 81/256.

Discussion

12.	Evaluate (3√a)6log5a
Answer» Evaluate $(\sqrt[3]{a})^{6 l o g_{a}^{5}}$

Discussion

13.	Q. There are four prime numbers written in ascending order. The product of the first three is 385 and of the last three is 1001. Find the last number. Thank you..
Answer» Q. There are four prime numbers written in ascending order. The product of the first three is 385 and of the last three is 1001. Find the last number. Thank you..

13.

Q. There are four prime numbers written in ascending order. The product of the first three is 385 and of the last three is 1001. Find the last number. Thank you..

Answer»

Q. There are four prime numbers written in ascending order. The product of the first three is 385 and of the last three is 1001. Find the last number.

Thank you..

Discussion

14.	Sides of a triangle ABC are equidistant from the centre O of its circumcircle. Triangle ABC is
Answer» Sides of a triangle ABC are equidistant from the centre O of its circumcircle. Triangle ABC is

Discussion

15.	If z²+(1/z²)=11 then find the value of z³-(1/z³)
Answer» If z²+(1/z²)=11 then find the value of z³-(1/z³)

Discussion

16.	√x+2−√x−2=2.Find the value of x.
Answer» $\sqrt{x + 2} - \sqrt{x - 2} = 2. F i n d t h e v a l u e o f x .$

Discussion

17.	Two identical cubes each of volume 64 cm3 are joined together end to end. What is the surface area of the resulting cuboid?
Answer» Two identical cubes each of volume $64 c m^{3}$ are joined together end to end. What is the surface area of the resulting cuboid?

Discussion

18.	Simplify (27)23(9)12 (3)32
Answer» Simplify $\frac{{(27)}^{\frac{2}{3}}}{{(9)}^{\frac{1}{2}} {(3)}^{\frac{3}{2}}}$

Discussion

19.	Prove if 7x+3x is a factor of 3x3+7x
Answer» Prove if 7x+3x is a factor of 3x³+7x

Discussion

20.	How many meters of 5metre will be required to make a conical tent the radius of whose base is 7 metre and height 24 metre what is the cost required to make the tent of 1metre square cloth cost rupees 50.
Answer» How many meters of 5metre will be required to make a conical tent the radius of whose base is 7 metre and height 24 metre what is the cost required to make the tent of 1metre square cloth cost rupees 50.

Discussion

21.	What is the meaning of reminder theroms?
Answer» What is the meaning of reminder theroms?

Discussion

22.	In the given figure, altitude AD bisects ∠BAC then ΔBAC is
Answer» In the given figure, altitude AD bisects ∠BAC then ΔBAC is

22.

In the given figure, altitude AD bisects ∠BAC then ΔBAC is

Answer»

In the given figure, altitude AD bisects ∠BAC then ΔBAC is

Discussion

23.	In an isosceles triangle, the unequal side is 12cm and its perimeter is 26cm. Find the area of the triangle.
Answer» In an isosceles triangle, the unequal side is 12cm and its perimeter is 26cm. Find the area of the triangle.

Discussion

24.	Find x if log2 (x−5)>3
Answer» Find $x$ if ${log}_{2} (x - 5) > 3$

Discussion

25.	Which of the following shows the visualization of the addition of 3x and 9?
Answer» Which of the following shows the visualization of the addition of 3x and 9?

Discussion

26.	If AB = 8 cm, BC = 15 cm and CA = 19 cm. State whether these sides form a triangle ΔABC.
Answer» If AB = 8 cm, BC = 15 cm and CA = 19 cm. State whether these sides form a triangle ΔABC.

Discussion

27.	What is the Perimeter of the given figure ABCD ?
Answer» What is the Perimeter of the given figure ABCD ?

27.

What is the Perimeter of the given figure ABCD ?

Answer»

What is the Perimeter of the given figure ABCD ?

Discussion

28.	In the figure, POS is a line, find x.
Answer» In the figure, POS is a line, find x.

28.

In the figure, POS is a line, find x.

Answer»

In the figure, POS is a line, find x.

Discussion

29.	Find the area of the quadrilateral ABCD in which AB = 42 cm, BC = 12 cm, CD = 29 cm, DA = 34 cm and diagonal BD = 20 cm.
Answer» Find the area of the quadrilateral ABCD in which AB = 42 cm, BC = 12 cm, CD = 29 cm, DA = 34 cm and diagonal BD = 20 cm.

29.

Find the area of the quadrilateral ABCD in which AB = 42 cm, BC = 12 cm, CD = 29 cm, DA = 34 cm and diagonal BD = 20 cm.

Answer»

Find the area of the quadrilateral ABCD in which AB = 42 cm, BC = 12 cm, CD = 29 cm, DA = 34 cm and diagonal BD = 20 cm.

Discussion

30.	In triangle ABC, E is mid point of median AD and BE produced meets side AC at point Q. Show that BE : ESQ = 3:1.
Answer» In triangle ABC, E is mid point of median AD and BE produced meets side AC at point Q. Show that BE : ESQ = 3:1.

Discussion

31.	Diagonals of a rhombus intersect at an angle of _____ .
Answer» Diagonals of a rhombus intersect at an angle of _____ .

Discussion

32.	Question 10 If y-Coordinate of a point is zero, then this point always lies A) In I quadrant B) In II quadrant C) On x-axis D) On y-axis
Answer» Question 10 If y-Coordinate of a point is zero, then this point always lies A) In I quadrant B) In II quadrant C) On x-axis D) On y-axis

Discussion

33.	Which of the following is the rationalising factor of 3−7√2
Answer» Which of the following is the rationalising factor of $3 - 7 \sqrt{2}$

Discussion

34.	Question 1 (iv) Evaluate the following: (iv) (sin30∘+tan45∘−cosec60∘)(sec30∘+cos60∘+cot45∘)
Answer» Question 1 (iv) Evaluate the following: (iv) $\frac{(s i n 30^{\circ} + t a n 45^{\circ} - c o s e c 60^{\circ})}{(s e c 30^{\circ} + c o s 60^{\circ} + c o t 45^{\circ})}$

Discussion

35.	8x3 - 343y3 = ?
Answer» 8x³ - 343y³= ?

Discussion

36.	The x-intercept of the line 3y = 12 is
Answer» The x-intercept of the line 3y = 12 is

Discussion

37.	The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed (see the following figure). Show that ar (ABCD)=ar(PBQR).
Answer» The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed (see the following figure). Show that ar (ABCD)=ar(PBQR).

Discussion

38.	In fig., which of the following statement is true?
Answer» In fig., which of the following statement is true?

38.

In fig., which of the following statement is true?

Answer»

In fig., which of the following statement is true?

Discussion

39.	Divide the given polynomial by the given monomial. (i)(5x2−6x)÷3x (ii)(3y8−4y6+5y4)÷y4 (iii)8(x3y2z2+x2y3z2+x2y2z3)÷4x2y2z2 (iv)(x3+2x2+3x)÷2x. [4 MARKS]
Answer» Divide the given polynomial by the given monomial. $(i) (5 x^{2} - 6 x) \div 3 x$ $(i i) (3 y^{8} - 4 y^{6} + 5 y^{4}) \div y^{4}$ $(i i i) 8 (x^{3} y^{2} z^{2} + x^{2} y^{3} z^{2} + x^{2} y^{2} z^{3}) \div 4 x^{2} y^{2} z^{2}$ $(i v) (x^{3} + 2 x^{2} + 3 x) \div 2 x$ . [4 MARKS]

Discussion

40.	Find the median of the following observations 46,64,87,41,58,77,35,90,55,92,33.If 92 is replaced by 99 and 41 by 43 in the above data,find the new median?
Answer» Find the median of the following observations 46,64,87,41,58,77,35,90,55,92,33.If 92 is replaced by 99 and 41 by 43 in the above data,find the new median?

40.

Find the median of the following observations 46,64,87,41,58,77,35,90,55,92,33.If 92 is replaced by 99 and 41 by 43 in the above data,find the new median?

Answer»

Find the median of the following observations

46,64,87,41,58,77,35,90,55,92,33.If 92 is replaced by 99 and 41 by 43 in the above data,find the new median?

Discussion

41.	PQRS is a trapezium such that PQRS and L, M are the mid points of the diagonals PR and QS, respectively.Then,show that LM=12(PQ−RS)
Answer» PQRS is a trapezium such that PQRS and L, M are the mid points of the diagonals PR and QS, respectively.Then,show that $L M = \frac{1}{2} (P Q - R S)$

Discussion

42.	__ m is the height of a parallelogram so that the area is 136 m2. Given base is 8 m
Answer» __ m is the height of a parallelogram so that the area is 136 $m^{2}$ . Given base is 8 m

Discussion

43.	Find the value of x for which the angles (2x−5)∘ and (x−10)∘ are the complementary angles.
Answer» Find the value of x for which the angles $(2 x - 5)^{\circ}$ and $(x - 10)^{\circ}$ are the complementary angles.

Discussion

44.	P is any point on the diagonals AC of a parallelogram ABCD.Prove that ar(△ADP)=ar(△ ABP).
Answer» P is any point on the diagonals AC of a parallelogram ABCD.Prove that $a r (△ A D P) = a r (△ A B P)$ .

Discussion

45.	Factorise x3−512
Answer» Factorise $x^{3} - 512$

Discussion

46.	If x2+1x2=66, find the value of x−1x.
Answer» If $x^{2} + \frac{1}{x^{2}} = 66,$ find the value of $x - \frac{1}{x}$ .

Discussion

47.	In the given figure, a \|\|gm ABCD and a rectangle ABEF are of equal area.Then, (a) perimeter of ABCD=perimeter of ABEF (b) perimeter of ABCD<perimeter of ABEF (c) perimeter of ABCD>perimeter of ABEF (d) perimeter of ABCD=12(perimeter of ABEF)
Answer» In the given figure, a \|\|gm ABCD and a rectangle ABEF are of equal area.Then, (a) perimeter of ABCD=perimeter of ABEF (b) perimeter of ABCD<perimeter of ABEF (c) perimeter of ABCD>perimeter of ABEF (d) perimeter of ABCD= $\frac{1}{2}$ (perimeter of ABEF)

47.

In the given figure, a ||gm ABCD and a rectangle ABEF are of equal area.Then, (a) perimeter of ABCD=perimeter of ABEF (b) perimeter of ABCD<perimeter of ABEF (c) perimeter of ABCD>perimeter of ABEF (d) perimeter of ABCD=12(perimeter of ABEF)

Answer»

In the given figure, a ||gm ABCD and a rectangle ABEF are of equal area.Then,

(a) perimeter of ABCD=perimeter of ABEF

(b) perimeter of ABCD<perimeter of ABEF

(c) perimeter of ABCD>perimeter of ABEF

(d) perimeter of ABCD= $\frac{1}{2}$ (perimeter of ABEF)

Discussion

48.	The mean of 100 items was found to be 64. Later on it was discovered that two items were misread as 26 and 9 instead of 36 and 90 respectively. The correct mean is (a) 64.86 (b) 65.31 (c) 64.91 (d) 64.61
Answer» The mean of 100 items was found to be 64. Later on it was discovered that two items were misread as 26 and 9 instead of 36 and 90 respectively. The correct mean is (a) 64.86 (b) 65.31 (c) 64.91 (d) 64.61

Discussion

49.	Write the coordinate of the point lying on Y-axis with y-coordinate -3
Answer» Write the coordinate of the point lying on Y-axis with y-coordinate -3

Discussion

50.	In the parallelogram ABCD, the angles A and C are obtuse. Points X and Y are taken on the diagonal BD such that the angles XAD and YCB are right angles. Prove that : XA = YC.
Answer» In the parallelogram ABCD, the angles A and C are obtuse. Points X and Y are taken on the diagonal BD such that the angles XAD and YCB are right angles. Prove that : XA = YC.

50.

In the parallelogram ABCD, the angles A and C are obtuse. Points X and Y are taken on the diagonal BD such that the angles XAD and YCB are right angles. Prove that : XA = YC.

Answer»

In the parallelogram ABCD, the angles A and C are obtuse. Points X and Y are taken on the diagonal BD such that the angles XAD and YCB are right angles.

Prove that : XA = YC.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The figure formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a square, only if (a) ABCD is a rhombus (b) diagonals of ABCD are equal (c) diagonals of ABCD are perpendicular (d) diagonals of ABCD are equal and perpendicular

The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits are reversed. Find the number.

The circus tent is in the shape of a right circular cone, with base radius and height from the ground as 12 m and 16 m respectively. The area of tarpaulin required to make the tent is(Use π = 3.14)

Number of circles that can be drawn through three non-collinear points is

If (x5-9x2+12x-14) is divided by (x – 3), the remainder is:

How many outcomes does the experiment "rolling a pair of dice" have? __

In a triangle ABC, AB=AC. Show that the altitude AD is a median also.

Find the following products by using suitable identities: (√x-√y)(√x-√y) Pls send fast

Each edge of a cube is increased by 50%. Find the percentage increase in the surface area of a cube .

In the figure, the diameter CD of a circle with centre O is perpendicular to the chord AB. If AB=12 cm and CE=3 cm, find the radius of the circle (in cm)

Without performing long division determine the type of decimal expansion of the rational number 81/256.

Evaluate (3√a)6log5a

Q. There are four prime numbers written in ascending order. The product of the first three is 385 and of the last three is 1001. Find the last number. Thank you..

Sides of a triangle ABC are equidistant from the centre O of its circumcircle. Triangle ABC is

If z²+(1/z²)=11 then find the value of z³-(1/z³)

√x+2−√x−2=2.Find the value of x.

Two identical cubes each of volume 64 cm3 are joined together end to end. What is the surface area of the resulting cuboid?

Simplify (27)23(9)12 (3)32

Prove if 7x+3x is a factor of 3x3+7x

How many meters of 5metre will be required to make a conical tent the radius of whose base is 7 metre and height 24 metre what is the cost required to make the tent of 1metre square cloth cost rupees 50.

What is the meaning of reminder theroms?

In the given figure, altitude AD bisects ∠BAC then ΔBAC is

In an isosceles triangle, the unequal side is 12cm and its perimeter is 26cm. Find the area of the triangle.

Find x if log2 (x−5)&gt;3

Which of the following shows the visualization of the addition of 3x and 9?

If AB = 8 cm, BC = 15 cm and CA = 19 cm. State whether these sides form a triangle ΔABC.

What is the Perimeter of the given figure ABCD ?

In the figure, POS is a line, find x.

Find the area of the quadrilateral ABCD in which AB = 42 cm, BC = 12 cm, CD = 29 cm, DA = 34 cm and diagonal BD = 20 cm.

In triangle ABC, E is mid point of median AD and BE produced meets side AC at point Q. Show that BE : ESQ = 3:1.

Diagonals of a rhombus intersect at an angle of _____ .

Question 10 If y-Coordinate of a point is zero, then this point always lies A) In I quadrant B) In II quadrant C) On x-axis ​​​​​​​D) On y-axis

Which of the following is the rationalising factor of 3−7√2

Question 1 (iv) Evaluate the following: (iv) (sin30∘+tan45∘−cosec60∘)(sec30∘+cos60∘+cot45∘)

8x3 - 343y3 = ?

The x-intercept of the line 3y = 12 is

The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed (see the following figure). Show that ar (ABCD)=ar(PBQR).

In fig., which of the following statement is true?

Divide the given polynomial by the given monomial. (i)(5x2−6x)÷3x (ii)(3y8−4y6+5y4)÷y4 (iii)8(x3y2z2+x2y3z2+x2y2z3)÷4x2y2z2 (iv)(x3+2x2+3x)÷2x. [4 MARKS]

Find the median of the following observations 46,64,87,41,58,77,35,90,55,92,33.If 92 is replaced by 99 and 41 by 43 in the above data,find the new median?

PQRS is a trapezium such that PQRS and L, M are the mid points of the diagonals PR and QS, respectively.Then,show that LM=12(PQ−RS)

__ m is the height of a parallelogram so that the area is 136 m2. Given base is 8 m

Find the value of x for which the angles (2x−5)∘ and (x−10)∘ are the complementary angles.

P is any point on the diagonals AC of a parallelogram ABCD.Prove that ar(△ADP)=ar(△ ABP).

Factorise x3−512

If x2+1x2=66, find the value of x−1x.

In the given figure, a ||gm ABCD and a rectangle ABEF are of equal area.Then, (a) perimeter of ABCD=perimeter of ABEF (b) perimeter of ABCD&lt;perimeter of ABEF (c) perimeter of ABCD&gt;perimeter of ABEF (d) perimeter of ABCD=12(perimeter of ABEF)

The mean of 100 items was found to be 64. Later on it was discovered that two items were misread as 26 and 9 instead of 36 and 90 respectively. The correct mean is (a) 64.86 (b) 65.31 (c) 64.91 (d) 64.61

Write the coordinate of the point lying on Y-axis with y-coordinate -3

In the parallelogram ABCD, the angles A and C are obtuse. Points X and Y are taken on the diagonal BD such that the angles XAD and YCB are right angles. Prove that : XA = YC.

Find x if log2 (x−5)>3

Question 10 If y-Coordinate of a point is zero, then this point always lies A) In I quadrant B) In II quadrant C) On x-axis D) On y-axis

In the given figure, a ||gm ABCD and a rectangle ABEF are of equal area.Then, (a) perimeter of ABCD=perimeter of ABEF (b) perimeter of ABCD<perimeter of ABEF (c) perimeter of ABCD>perimeter of ABEF (d) perimeter of ABCD=12(perimeter of ABEF)