24740 + Interview Questions in Mathematics

1.	The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cm3 of wood has a mass of 0.6 gm.
Answer» The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if $1 c m^{3}$ of wood has a mass of 0.6 gm.

Discussion

2.	In the figure, if lines l and m are parallel, then x=
Answer» In the figure, if lines l and m are parallel, then x=

2.

In the figure, if lines l and m are parallel, then x=

Answer»

In the figure, if lines l and m are parallel, then x=

Discussion

3.	Factorise: 2√3x2+x−5√3
Answer» Factorise: $2 \sqrt{3} x^{2} + x - 5 \sqrt{3}$

Discussion

4.	In the figure, the sides BC,CA and AB of a ΔABC, have been produced to D, E and F respectively. If ∠ACD=105∘ and ∠EAF=45∘, find all the angles of the ΔABC.
Answer» In the figure, the sides BC,CA and AB of a $Δ A B C$ , have been produced to D, E and F respectively. If $∠ A C D = 105^{\circ}$ and $∠ E A F = 45^{\circ}$ , find all the angles of the $Δ A B C$ .

4.

In the figure, the sides BC,CA and AB of a ΔABC, have been produced to D, E and F respectively. If ∠ACD=105∘ and ∠EAF=45∘, find all the angles of the ΔABC.

Answer»

In the figure, the sides BC,CA and AB of a $Δ A B C$ , have been produced to D, E and F respectively. If $∠ A C D = 105^{\circ}$ and $∠ E A F = 45^{\circ}$ , find all the angles of the $Δ A B C$ .

Discussion

5.	Bar diagram consists of a number of P–– or Q–– which are of R–– width with equal space between them on the S–– axis.
Answer» Bar diagram consists of a number of $P - -$ or $Q - -$ which are of $R - -$ width with equal space between them on the $S - -$ axis.

Discussion

6.	Decimal representation of an irrational number is always
Answer» Decimal representation of an irrational number is always

Discussion

7.	Consider the following three statements. Statement – 1: Every natural number is a whole number Statement – 2: Every rational number is an integer Statement – 3: Every integer is a rational number. Which of the following is true?
Answer» Consider the following three statements. Statement – 1: Every natural number is a whole number Statement – 2: Every rational number is an integer Statement – 3: Every integer is a rational number. Which of the following is true?

Discussion

8.	In fig., If PQ ∥ BC and PR ∥CD. Then, ARAD= AQAB.
Answer» In fig., If PQ $∥$ BC and PR $∥$ CD. Then, $\frac{A R}{A D}$ = $\frac{A Q}{A B}$ .

8.

In fig., If PQ ∥ BC and PR ∥CD. Then, ARAD= AQAB.

Answer»

In fig., If PQ $∥$ BC and PR $∥$ CD. Then, $\frac{A R}{A D}$ = $\frac{A Q}{A B}$ .

Discussion

9.	Euclidean Geometry is the study of ___.
Answer» Euclidean Geometry is the study of ___.

Discussion

10.	A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the data below Outcome123456Frequency170155160150180185 Find the probability of getting (i) a factor of 6 (ii) an odd number [2 MARKS]
Answer» A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the data below $\begin{matrix} Outcome & 1 & 2 & 3 & 4 & 5 & 6 Frequency & 170 & 155 & 160 & 150 & 180 & 185 \end{matrix}$ Find the probability of getting (i) a factor of 6 (ii) an odd number [2 MARKS]

10.

A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the data below Outcome123456Frequency170155160150180185 Find the probability of getting (i) a factor of 6 (ii) an odd number [2 MARKS]

Answer»

A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the data below

$\begin{matrix} Outcome & 1 & 2 & 3 & 4 & 5 & 6 Frequency & 170 & 155 & 160 & 150 & 180 & 185 \end{matrix}$

Find the probability of getting (i) a factor of 6
(ii) an odd number [2 MARKS]

Discussion

11.	Rationalize the denominator of 1√2.
Answer» Rationalize the denominator of $\frac{1}{\sqrt{2}}$ .

Discussion

12.	Evaluate the following products without multiplying directly: 103 × 107
Answer» Evaluate the following products without multiplying directly: 103 × 107

Discussion

13.	Prove that 41n−14n is a multiple of 27 for all natural numbers.
Answer» Prove that $41^{n} - 14^{n}$ is a multiple of 27 for all natural numbers.

Discussion

14.	Two chords AB and CD of a circle intersect each other at P outside the circle. If AB = 6 cm, BP = 2 cm and PD = 2.5 cm, find CD.
Answer» Two chords AB and CD of a circle intersect each other at P outside the circle. If AB = 6 cm, BP = 2 cm and PD = 2.5 cm, find CD.

14.

Two chords AB and CD of a circle intersect each other at P outside the circle. If AB = 6 cm, BP = 2 cm and PD = 2.5 cm, find CD.

Answer»

Two chords AB and CD of a circle intersect each other at P outside the circle. If AB = 6 cm, BP = 2 cm and PD = 2.5 cm, find CD.

Discussion

15.	Simplified value of (25)13×513 (a) 25 (b) 3 (c) 1 (d) 5
Answer» Simplified value of $(25)^{\frac{1}{3}} \times 5^{\frac{1}{3}}$ (a) 25 (b) 3 (c) 1 (d) 5

15.

Simplified value of (25)13×513 (a) 25 (b) 3 (c) 1 (d) 5

Answer»

Simplified value of $(25)^{\frac{1}{3}} \times 5^{\frac{1}{3}}$

(a) 25 (b) 3 (c) 1 (d) 5

Discussion

16.	Two lines AB and CD intersect at O. If ∠AOC+∠COB+∠BOD=2700, then ∠AOC =
Answer» Two lines AB and CD intersect at O. If $∠ A O C + ∠ C O B + ∠ B O D = 270^{0}$ , then $∠ A O C$ =

Discussion

17.	In ΔABC,BD⊥AC and CE ⊥AB. If BD and CE intersect at O , prove that ∠BOC=180∘−∠A.
Answer» In $Δ A B C, B D ⊥ A C$ and CE $⊥ A B .$ If BD and CE intersect at O , prove that $∠ B O C = 180^{\circ} - ∠ A .$

Discussion

18.	In the given figure, AB\|\|DE and BD\|\|FG such that ∠ABC=50∘and ∠FGH=120∘.Find the values of x and y.
Answer» $In the given figure, A B \| \| D E a n d B D \| \| F G s u c h t h a t ∠ A B C = 50^{\circ} a n d ∠ F G H = 120^{\circ} . Find the values of x and y.$

18.

In the given figure, AB||DE and BD||FG such that ∠ABC=50∘and ∠FGH=120∘.Find the values of x and y.

Answer»

$In the given figure, A B | | D E a n d B D | | F G s u c h t h a t ∠ A B C = 50^{\circ} a n d ∠ F G H = 120^{\circ} . Find the values of x and y.$

Discussion

19.	The graph of the equation will pass through the points (-2,2) and (0,0).
Answer» The graph of the equation will pass through the points (-2,2) and (0,0).

Discussion

20.	The chord of a circle is equal to its radius. The angle subtended by this chord at the minor are of the circle is
Answer» The chord of a circle is equal to its radius. The angle subtended by this chord at the minor are of the circle is

Discussion

21.	An exterior angle of a triangle is equal to 100∘ and two interior opposite angles are equal. Each of these angles is equal to:
Answer» An exterior angle of a triangle is equal to $100^{\circ}$ and two interior opposite angles are equal. Each of these angles is equal to:

Discussion

22.	One chord of a circle is known to be 10 cm. The radius of this circle must be
Answer» One chord of a circle is known to be $10 c m .$ The radius of this circle must be

Discussion

23.	Andy spent Rs. 450 in fencing the parallelogram shaped land (leaving 1 m for the gate) that he had before. If Andy would start from a point 5 m away from A (on side AB) and take the shortest possible path to the opposite side, he would reach exactly at D. As you know Land Grabbers restructured Andy’s land to be a rectangle having the same base and same width. Find the cost of fencing the new land in same way at Rs. 6 /m.
Answer» Andy spent Rs. 450 in fencing the parallelogram shaped land (leaving 1 m for the gate) that he had before. If Andy would start from a point 5 m away from A (on side AB) and take the shortest possible path to the opposite side, he would reach exactly at D. As you know Land Grabbers restructured Andy’s land to be a rectangle having the same base and same width. Find the cost of fencing the new land in same way at Rs. 6 /m.

23.

Andy spent Rs. 450 in fencing the parallelogram shaped land (leaving 1 m for the gate) that he had before. If Andy would start from a point 5 m away from A (on side AB) and take the shortest possible path to the opposite side, he would reach exactly at D. As you know Land Grabbers restructured Andy’s land to be a rectangle having the same base and same width. Find the cost of fencing the new land in same way at Rs. 6 /m.

Answer»

Andy spent Rs. 450 in fencing the parallelogram shaped land (leaving 1 m for the gate) that he had before. If Andy would start from a point 5 m away from A (on side AB) and take the shortest possible path to the opposite side, he would reach exactly at D. As you know Land Grabbers restructured Andy’s land to be a rectangle having the same base and same width. Find the cost of fencing the new land in same way at Rs. 6 /m.

Discussion

24.	Without finding cubes factorise and find the value of (1/4)3+ (1/3)3-(7/12)3
Answer» Without finding cubes factorise and find the value of (1/4)³+ (1/3)³-(7/12)³

Discussion

25.	State true or false every polynomial is a binomial
Answer» State true or false every polynomial is a binomial

Discussion

26.	(4a+3b)² -(4a-3b)²+48ab
Answer» (4a+3b)² -(4a-3b)²+48ab

Discussion

27.	2tan3acos3a-tan3a+1=2cos3a; find the magnitude of a
Answer» 2tan3acos3a-tan3a+1=2cos3a; find the magnitude of a

Discussion

28.	The expansion of x3+y3+z3-3xyz is
Answer» The expansion of $x^{3}$ + $y^{3}$ + $z^{3}$ -3xyz is

Discussion

29.	x = −b+√b2−4ac2a, then express the given formula in terms of b.
Answer» x = $\frac{- b + \sqrt{b^{2} - 4 a c}}{2 a}$ , then express the given formula in terms of b.

Discussion

30.	Find the value of a & b if the line 6bx + at = 24 passes through point (2,0)& (0,2)
Answer» Find the value of a & b if the line 6bx + at = 24 passes through point (2,0)& (0,2)

Discussion

31.	Multiply: x2+4y2+z2+2xy+xz-2yz by x-2y-z
Answer» Multiply: x²+4y²+z²+2xy+xz-2yz by x-2y-z

Discussion

32.	The circumference of a circular park is 314 m. A 20 m wide concrete track runs round it. Calculate the cost of concrete track in the park at Rs. 1.25 per sq. m.
Answer» The circumference of a circular park is 314 m. A 20 m wide concrete track runs round it. Calculate the cost of concrete track in the park at Rs. 1.25 per sq. m.

Discussion

33.	Two conjugative angles are in the ratio 2:3 find the angles
Answer» Two conjugative angles are in the ratio 2:3 find the angles

Discussion

34.	The sides of a triangular field are 41m, 40m, 900 cm. Each rose bed requires 180 sq. cm of are. How many rose beds can be prepared in the field?
Answer» The sides of a triangular field are 41m, 40m, 900 cm. Each rose bed requires 180 sq. cm of are. How many rose beds can be prepared in the field?

Discussion

35.	ABCD is a cyclic quadrilateral in which AC and BD are it's diagonals. Draw BC as base and AD as upper side respectively. If angle DBC=60 and angle BAC=30,find angle BCD.
Answer» ABCD is a cyclic quadrilateral in which AC and BD are it's diagonals. Draw BC as base and AD as upper side respectively. If angle DBC=60 and angle BAC=30,find angle BCD.

Discussion

36.	Three circles with centres A, B and C touch each other externally. If, AB = 5cm, BC = 7 cm and CA = 6 cm. Find the radii of the circles.
Answer» Three circles with centres A, B and C touch each other externally. If, AB = 5cm, BC = 7 cm and CA = 6 cm. Find the radii of the circles.

Discussion

37.	If √3 and √27 are the length and width of a rectangle, then find the area of the rectangle (in square units).9
Answer» If $\sqrt{3}$ and $\sqrt{27}$ are the length and width of a rectangle, then find the area of the rectangle (in square units). 9

Discussion

38.	The measures of three angles of a triangle are in the ratio 1: 2: 3. Then the triangle is
Answer» The measures of three angles of a triangle are in the ratio 1: 2: 3. Then the triangle is

Discussion

39.	If polynomial p(x) is divided by (x-a), and the remainder is zero. Then (x-a) is called __ of polynomial p(x)
Answer» If polynomial p(x) is divided by (x-a), and the remainder is zero. Then (x-a) is called __ of polynomial p(x)

Discussion

40.	In ∆ABC, ∠A = 50o, ∠B = 60o and ∠C = 70o. Find the measures of the angles of the triangle formed by joining the mid points of the sides of this triangle.
Answer» In ∆ABC, ∠A = 50^o, ∠B = 60^o and ∠C = 70^o. Find the measures of the angles of the triangle formed by joining the mid points of the sides of this triangle.

40.

In ∆ABC, ∠A = 50o, ∠B = 60o and ∠C = 70o. Find the measures of the angles of the triangle formed by joining the mid points of the sides of this triangle.

Answer»

In ∆ABC, ∠A = 50^o, ∠B = 60^o and ∠C = 70^o. Find the measures of the angles of the triangle formed by

joining the mid points of the sides of this triangle.

Discussion

41.	2x + 4 = 3x + 1 will represent a.
Answer» 2x + 4 = 3x + 1 will represent a.

Discussion

42.	Find the frequency of getting a number greater than 2 but less than 5. Dice123456Frequency101264810
Answer» Find the frequency of getting a number greater than 2 but less than 5. $\begin{matrix} D i c e & 1 & 2 & 3 & 4 & 5 & 6 F r e q u e n c y & 10 & 12 & 6 & 4 & 8 & 10 \end{matrix}$

42.

Find the frequency of getting a number greater than 2 but less than 5. Dice123456Frequency101264810

Answer»

Find the frequency of getting a number greater than 2 but less than 5.

$\begin{matrix} D i c e & 1 & 2 & 3 & 4 & 5 & 6 F r e q u e n c y & 10 & 12 & 6 & 4 & 8 & 10 \end{matrix}$

Discussion

43.	Which of the following identity is not applicable to simplify (4x+5y)2 - (5x+4y)2?
Answer» Which of the following identity is not applicable to simplify ${(4 x + 5 y)}^{2}$ - ${(5 x + 4 y)}^{2}$ ?

Discussion

44.	What is the mathematical study of chance called? __
Answer» What is the mathematical study of chance called? __

Discussion

45.	What is the area of a triangle whose three sides are a = 3 cm, b = 4 cm, c = 5 cm
Answer» What is the area of a triangle whose three sides are a = 3 cm, b = 4 cm, c = 5 cm

Discussion

46.	In the figure given, if AB \|\| CD, Find the values of 'p' and 'q'.
Answer» In the figure given, if AB \|\| CD, Find the values of 'p' and 'q'.

Discussion

47.	If, f(x)=cos[π2]x+cos[−π2]x, where [x] stands for greatest integer function, then
Answer» If, $f (x) = c o s [π^{2}] x + c o s [- π^{2}] x,$ where [x] stands for greatest integer function, then

Discussion

48.	The value of the assets distributed among Neeta, Seeta and Geeta were in the ratio of 1:2:3, while the gold coins were distributed among them in the ratio of 2:3:4. One got all three flats and she did not get the house. One child, other than Geeta, got Rs 30 lakh in bank deposits. How much did Geeta get in bank deposits (in lakhs of rupees)? ___
Answer» The value of the assets distributed among Neeta, Seeta and Geeta were in the ratio of 1:2:3, while the gold coins were distributed among them in the ratio of 2:3:4. One got all three flats and she did not get the house. One child, other than Geeta, got Rs 30 lakh in bank deposits. How much did Geeta get in bank deposits (in lakhs of rupees)? ___

Discussion

49.	Prove that the digonals of a quadrilateral bisect each other.
Answer» Prove that the digonals of a quadrilateral bisect each other.

Discussion

50.	If Point P (-4,6) divides the line segment AB with A(-6,10) and B(x,y) in the ratio 3:2, find the co-ordinates of B.
Answer» If Point P (-4,6) divides the line segment AB with A(-6,10) and B(x,y) in the ratio 3:2, find the co-ordinates of B.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cm3 of wood has a mass of 0.6 gm.

In the figure, if lines l and m are parallel, then x=

Factorise: 2√3x2+x−5√3

In the figure, the sides BC,CA and AB of a ΔABC, have been produced to D, E and F respectively. If ∠ACD=105∘ and ∠EAF=45∘, find all the angles of the ΔABC.

Bar diagram consists of a number of P–– or Q–– which are of R–– width with equal space between them on the S–– axis.

Decimal representation of an irrational number is always

Consider the following three statements. Statement – 1: Every natural number is a whole number Statement – 2: Every rational number is an integer Statement – 3: Every integer is a rational number. Which of the following is true?

In fig., If PQ ∥ BC and PR ∥CD. Then, ARAD= AQAB.

Euclidean Geometry is the study of ___.

A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the data below Outcome123456Frequency170155160150180185 Find the probability of getting (i) a factor of 6 (ii) an odd number [2 MARKS]

Rationalize the denominator of 1√2.

Evaluate the following products without multiplying directly: 103 × 107

Prove that 41n−14n is a multiple of 27 for all natural numbers.

Two chords AB and CD of a circle intersect each other at P outside the circle. If AB = 6 cm, BP = 2 cm and PD = 2.5 cm, find CD.

Simplified value of (25)13×513 (a) 25 (b) 3 (c) 1 (d) 5

Two lines AB and CD intersect at O. If ∠AOC+∠COB+∠BOD=2700, then ∠AOC =

In ΔABC,BD⊥AC and CE ⊥AB. If BD and CE intersect at O , prove that ∠BOC=180∘−∠A.

In the given figure, AB||DE and BD||FG such that ∠ABC=50∘and ∠FGH=120∘.Find the values of x and y.

The graph of the equation will pass through the points (-2,2) and (0,0).

The chord of a circle is equal to its radius. The angle subtended by this chord at the minor are of the circle is

An exterior angle of a triangle is equal to 100∘ and two interior opposite angles are equal. Each of these angles is equal to:

One chord of a circle is known to be 10 cm. The radius of this circle must be

Without finding cubes factorise and find the value of (1/4)3+ (1/3)3-(7/12)3

State true or false every polynomial is a binomial

(4a+3b)² -(4a-3b)²+48ab

2tan3acos3a-tan3a+1=2cos3a; find the magnitude of a

The expansion of x3+y3+z3-3xyz is

x = −b+√b2−4ac2a, then express the given formula in terms of b.

Find the value of a & b if the line 6bx + at = 24 passes through point (2,0)& (0,2)

Multiply: x2+4y2+z2+2xy+xz-2yz by x-2y-z

The circumference of a circular park is 314 m. A 20 m wide concrete track runs round it. Calculate the cost of concrete track in the park at Rs. 1.25 per sq. m.

Two conjugative angles are in the ratio 2:3 find the angles

The sides of a triangular field are 41m, 40m, 900 cm. Each rose bed requires 180 sq. cm of are. How many rose beds can be prepared in the field?

ABCD is a cyclic quadrilateral in which AC and BD are it's diagonals. Draw BC as base and AD as upper side respectively. If angle DBC=60 and angle BAC=30,find angle BCD.

Three circles with centres A, B and C touch each other externally. If, AB = 5cm, BC = 7 cm and CA = 6 cm. Find the radii of the circles.

If √3 and √27 are the length and width of a rectangle, then find the area of the rectangle (in square units).9

The measures of three angles of a triangle are in the ratio 1: 2: 3. Then the triangle is

If polynomial p(x) is divided by (x-a), and the remainder is zero. Then (x-a) is called __ of polynomial p(x)

In ∆ABC, ∠A = 50o, ∠B = 60o and ∠C = 70o. Find the measures of the angles of the triangle formed by joining the mid points of the sides of this triangle.

2x + 4 = 3x + 1 will represent a.

Find the frequency of getting a number greater than 2 but less than 5. Dice123456Frequency101264810

Which of the following identity is not applicable to simplify (4x+5y)2 - (5x+4y)2?

What is the mathematical study of chance called? __

What is the area of a triangle whose three sides are a = 3 cm, b = 4 cm, c = 5 cm

In the figure given, if AB || CD, Find the values of 'p' and 'q'.

If, f(x)=cos[π2]x+cos[−π2]x, where [x] stands for greatest integer function, then

Prove that the digonals of a quadrilateral bisect each other.

If Point P (-4,6) divides the line segment AB with A(-6,10) and B(x,y) in the ratio 3:2, find the co-ordinates of B.