24740 + Interview Questions in Mathematics

1.	If two sides of triangle are 5cm and 1.5 cm, the length of its third side cannot be ..... (A)3.7 cm (B) 4.1cm. (C) 3.8 cm. (D) 3.4 cm Please explain..
Answer» If two sides of triangle are 5cm and 1.5 cm, the length of its third side cannot be ..... (A)3.7 cm (B) 4.1cm. (C) 3.8 cm. (D) 3.4 cm Please explain..

1.

If two sides of triangle are 5cm and 1.5 cm, the length of its third side cannot be ..... (A)3.7 cm (B) 4.1cm. (C) 3.8 cm. (D) 3.4 cm Please explain..

Answer»

If two sides of triangle are 5cm and 1.5 cm, the length of its third side cannot be .....

(A)3.7 cm (B) 4.1cm. (C) 3.8 cm. (D) 3.4 cm

Please explain..

2.	Two chords AB, CD of length 5 cm, 11 cm respectively of a circle are parallel. If the distance between AB and CD is 3 cm. find the radius of the circle.Assume that the chords are on the same side of the center.
Answer» Two chords AB, CD of length 5 cm, 11 cm respectively of a circle are parallel. If the distance between AB and CD is 3 cm. find the radius of the circle.Assume that the chords are on the same side of the center.

Discussion

3.	Find the height of the cuboid if the volume of both the cuboid and the cube shown below are equal.
Answer» Find the height of the cuboid if the volume of both the cuboid and the cube shown below are equal.

Discussion

4.	A 5 g wine cork has diameter 3 cm and a length of 5 cm. Its density is .
Answer» A 5 g wine cork has diameter 3 cm and a length of 5 cm. Its density is .

Discussion

5.	In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are ___.
Answer» In triangles ABC and PQR, AB = AC, $∠$ C = $∠$ P and $∠$ B = $∠$ Q. The two triangles are ___.

5.

In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are ___.

Answer»

In triangles ABC and PQR, AB = AC, $∠$ C = $∠$ P and $∠$ B = $∠$ Q. The two triangles are ___.

Discussion

6.	To know the opinion of the students about Mathematics, a survey of 200 students was conducted.The data is recorded in the following table: OpinionLikeDislikeNumber of students13565 Find the probability that a student is chosen at random (i) likes Mathematics (ii) does not like it.
Answer» To know the opinion of the students about Mathematics, a survey of $200$ students was conducted.The data is recorded in the following table: $\begin{matrix} Opinion & Like & Dislike Number of students & 135 & 65 \end{matrix}$ Find the probability that a student is chosen at random (i) likes Mathematics (ii) does not like it.

6.

To know the opinion of the students about Mathematics, a survey of 200 students was conducted.The data is recorded in the following table: OpinionLikeDislikeNumber of students13565 Find the probability that a student is chosen at random (i) likes Mathematics (ii) does not like it.

Answer»

To know the opinion of the students about Mathematics, a survey of $200$ students was conducted.The data is recorded in the following table:

$\begin{matrix} Opinion & Like & Dislike Number of students & 135 & 65 \end{matrix}$

Find the probability that a student is chosen at random

(i) likes Mathematics (ii) does not like it.

Discussion

7.	Choose the correct alternative for the blank. Ompreet is always __________ his brother Manpreet.
Answer» Choose the correct alternative for the blank. Ompreet is always __________ his brother Manpreet.

7.

Choose the correct alternative for the blank. Ompreet is always __________ his brother Manpreet.

Answer»

Choose the correct alternative for the blank.

Ompreet is always __________ his brother Manpreet.

Discussion

8.	Question 142The paper clip below has the indicated length. What is the length in standard form.
Answer» Question 142 The paper clip below has the indicated length. What is the length in standard form.

8.

Question 142The paper clip below has the indicated length. What is the length in standard form.

Answer»

Question 142

The paper clip below has the indicated length. What is the length in standard form.

Discussion

9.	An equilateral triangle ABC, whose side is 6 cm, is inscribed in a circle. Find the radius of the circle.
Answer» An equilateral triangle $A B C,$ whose side is $6 c m,$ is inscribed in a circle. Find the radius of the circle.

Discussion

10.	31. 1+sin square theta=3sin theta cos theta prove that tan theta=1or 1/2
Answer» 31. 1+sin square theta=3sin theta cos theta prove that tan theta=1or 1/2

Discussion

11.	26. The value of K for which the lines 2x+3y+7=0 and 27x+ky+25=0 are perpendicular is
Answer» 26. The value of K for which the lines 2x+3y+7=0 and 27x+ky+25=0 are perpendicular is

Discussion

12.	If the dividend = x4+x3−2x2+x+1,divisor = x−1 and remainder = 2,then the quotient q(x) is.
Answer» $If the dividend = x^{4} + x^{3} - 2 x^{2} + x + 1, divisor = x - 1 and remainder = 2, then the quotient q(x) is$ .

Discussion

13.	In a triangle ABC, if 2−−→AC=3−−→CB and 2−−→OA+3−−→OB=λ⋅−−→OC, then λ is
Answer» In a triangle $A B C,$ if $2 - - \to A C = 3 - - \to C B$ and $2 - - \to O A + 3 - - \to O B = λ \cdot - - \to O C,$ then $λ$ is

Discussion

14.	√2x² +7x+5√2=0
Answer» √2x² +7x+5√2=0

Discussion

15.	In Δ ABC, ∠B = 35°, ∠C = 65° and the bisector of ∠BAC meets BC in P. Arrange AP, BP and CP in descending order.
Answer» In Δ ABC, ∠B = 35°, ∠C = 65° and the bisector of ∠BAC meets BC in P. Arrange AP, BP and CP in descending order.

Discussion

16.	If x+x−1=11, evaluate x2+x−2.
Answer» If $x + x^{- 1} = 11$ , evaluate $x^{2} + x^{- 2}$ .

Discussion

17.	If 13√25−3√5+1=A3√25+B3√5+C, then A + B + C=?
Answer» If $\frac{1}{\sqrt[3]{25} - \sqrt[3]{5} + 1} = A \sqrt[3]{25} + B \sqrt[3]{5} + C$ , then A + B + C=?

Discussion

18.	In a parallelogram ABCD, determine the sum of angles ∠C and ∠D.
Answer» In a parallelogram ABCD, determine the sum of angles ∠C and ∠D.

Discussion

19.	In Fig. 7.58, ΔABC is a triangle such that ABAC=BDDC,∠B=70∘,∠C=50∘. Find ∠BAD.
Answer» In Fig. 7.58, $Δ A B C$ is a triangle such that $\frac{A B}{A C} = \frac{B D}{D C}, ∠ B = 70^{\circ}, ∠ C = 50^{\circ}$ . Find $∠ B A D$ .

Discussion

20.	The sum of infinite terms of G.P 4, 2, 1...... is ___.
Answer» The sum of infinite terms of G.P 4, 2, 1...... is ___.

Discussion

21.	If A (0, 4, 3) B(0, 0, 0) and C (3, 0, 4) are three points defined in x, y, z coordinate system, then which one of the following vectors is perpendicular to both the vectors −−→AB and −−→BC
Answer» If A (0, 4, 3) B(0, 0, 0) and C (3, 0, 4) are three points defined in x, y, z coordinate system, then which one of the following vectors is perpendicular to both the vectors $- - \to A B$ and $- - \to B C$

Discussion

22.	What is delta
Answer» What is delta

Discussion

23.	The mass of oxygen and hydrogen in any sample of water is approximately in the ratio 8:1, how many grams of hydrogen would you find in 1 kg of water?
Answer» The mass of oxygen and hydrogen in any sample of water is approximately in the ratio 8:1, how many grams of hydrogen would you find in 1 kg of water?

Discussion

24.	ΔABC is right angled at B, given 5×sinA=3. Find cos(∠C)+tan(∠A) + cosec(∠C).
Answer» $Δ A B C$ is right angled at B, given $5 \times s i n A = 3$ . Find cos( $∠$ C)+tan( $∠$ A) + cosec( $∠$ C).

Discussion

25.	12 spheres of the same size are made by melting a solid cylinder of diameter 16 cm and height 2 cm. The diameter of each sphere is .
Answer» 12 spheres of the same size are made by melting a solid cylinder of diameter 16 cm and height 2 cm. The diameter of each sphere is .

Discussion

26.	A rational number whose decimal expansion is non-terminating can be expressed in the form pq, where p and q are coprime, and the prime factorisation of q is NOT of the form _____ , where n and m are non-negative integers.
Answer» A rational number whose decimal expansion is non-terminating can be expressed in the form $\frac{p}{q}$ , where $p$ and $q$ are coprime, and the prime factorisation of $q$ is NOT of the form _____ , where $n$ and $m$ are non-negative integers.

Discussion

27.	In the adjoining figure, it is given that AB \|\| CD, ∠BAO = 108∘ and ∠OCD = 120∘ then ∠AOC = ________.
Answer» In the adjoining figure, it is given that AB \|\| CD, $∠$ BAO = 108 $^{\circ}$ and $∠$ OCD = 120 $^{\circ}$ then $∠$ AOC = ________.

27.

In the adjoining figure, it is given that AB || CD, ∠BAO = 108∘ and ∠OCD = 120∘ then ∠AOC = ________.

Answer»

In the adjoining figure, it is given that AB || CD, $∠$ BAO = 108 $^{\circ}$ and $∠$ OCD = 120 $^{\circ}$ then $∠$ AOC = ________.

Discussion

28.	Divide the first polynomial by the second polynomial and find the remainder using factor theorem .(i) x2 - 7x +9 ; (x + 1) (ii) 2x3 - 2x2 +ax - a ; ( x - a ) (iii) 54m3 + 18m2 -27m + 5 ; ( m - 3 )
Answer» Divide the first polynomial by the second polynomial and find the remainder using factor theorem . (i) $(x^{2} - 7 x + 9); (x + 1)$ (ii) $(2 x^{3} - 2 x^{2} + a x - a); (x - a)$ (iii) $(54 m^{3} + 18 m^{2} - 27 m + 5); (m - 3)$

Discussion

29.	The sum of length, breadth and height of a cuboidal box is 19 cm and the length of its diagonal is 11 cm. find the surface area of the cuboidal box.
Answer» The sum of length, breadth and height of a cuboidal box is 19 cm and the length of its diagonal is 11 cm. find the surface area of the cuboidal box.

Discussion

30.	if the radius of a sphere is increased by P%, then find the percentage increase in its surface area
Answer» if the radius of a sphere is increased by P%, then find the percentage increase in its surface area

Discussion

31.	ABCD is a trapezium in which AB \|\| DC. M and N are the mid-points of AD and BC respectively. If AB = 12 cm, MN = 14 cm, then CD =
Answer» ABCD is a trapezium in which AB \|\| DC. M and N are the mid-points of AD and BC respectively. If AB = 12 cm, MN = 14 cm, then CD =

Discussion

32.	The area of a triangle whose sides are 13cm, 12cm & 5cm is
Answer» The area of a triangle whose sides are 13cm, 12cm & 5cm is

Discussion

33.	In the adjoing figure, what value of x will make AOB, a straight line?
Answer» In the adjoing figure, what value of x will make AOB, a straight line?

Discussion

34.	Experimental probability is also known as? __
Answer» Experimental probability is also known as? __

Discussion

35.	A rectangle's sides are extended by 5 m. The new area of the figure is given by the expression: a(x)=x3+7x+8. x is the extension of sides. What is the new area?
Answer» A rectangle's sides are extended by 5 m. The new area of the figure is given by the expression: $a (x) = x^{3} + 7 x + 8$ . $x$ is the extension of sides. What is the new area?

Discussion

36.	A water tank in the shape of a prism has isosceles trapeziums as bases whose dimensions are shown below. The length of the tank is 80 centimetres. How many litres of water can it contain?
Answer» A water tank in the shape of a prism has isosceles trapeziums as bases whose dimensions are shown below. The length of the tank is 80 centimetres. How many litres of water can it contain?

36.

A water tank in the shape of a prism has isosceles trapeziums as bases whose dimensions are shown below. The length of the tank is 80 centimetres. How many litres of water can it contain?

Answer»

A water tank in the shape of a prism has isosceles trapeziums as bases whose dimensions are shown below.

The length of the tank is 80 centimetres. How many litres of water can it contain?

Discussion

37.	Which of the following figures lie on the same base and between the same parallel lines?
Answer» Which of the following figures lie on the same base and between the same parallel lines?

Discussion

38.	Match the two columns.Column−IColumn−II(A) The area of a triangle with base 4 cm and height 6 cm is:(p) 54√11 cm2(B) If the perimeter of the isosceles triangle is 11cm and the(q) 16√3 cm2base is 5 cm, then the area of the isosceles triangle is:(C) The area of the equilateral triangle, whose each side is(r) 12 cm28cm is:(D) Area of an equilateral triangle with side a units:(s) √34a2 sq. unit
Answer» Match the two columns. $\begin{matrix} C o l u m n - I & C o l u m n - I I (A) The area of a triangle with base 4 cm and height 6 cm is: & (p) \frac{5}{4} \sqrt{11} c m^{2} (B) If the perimeter of the isosceles triangle is 11cm and the & (q) 16 \sqrt{3} c m^{2} base is 5 cm, then the area of the isosceles triangle is: (C) The area of the equilateral triangle, whose each side is & (r) 12 c m^{2} 8 c m i s : (D) Area of an equilateral triangle with side a units: & (s) \frac{\sqrt{3}}{4} a^{2} s q . u n i t \end{matrix}$

Discussion

39.	Question 11 Find the missing number in the box in each of the proportions: 35=□20
Answer» Question 11 Find the missing number in the box in each of the proportions: $\frac{3}{5} = \frac{□}{20}$

39.

Question 11 Find the missing number in the box in each of the proportions: 35=□20

Answer»

Question 11

Find the missing number in the box in each of the proportions:

$\frac{3}{5} = \frac{□}{20}$

Discussion

40.	The locus of the centre of circle which touches (y−1)2+x2=1 externally and also touches x-axis, is
Answer» The locus of the centre of circle which touches $(y - 1)^{2} + x^{2} = 1$ externally and also touches x-axis, is

Discussion

41.	The expanded form of an expression is x2+y2+z2+2xy+2yz+2zx. Which of the following is the expression?
Answer» The expanded form of an expression is $x^{2} + y^{2} + z^{2} + 2 x y + 2 y z + 2 z x$ . Which of the following is the expression?

Discussion

42.	How many rational numbers can be inserted between 1/5 and 7/10
Answer» How many rational numbers can be inserted between 1/5 and 7/10

Discussion

43.	Which of the following is an irreducible expression?
Answer» Which of the following is an irreducible expression?

Discussion

44.	The rationalising factor for the number 3−7√2 is
Answer» The rationalising factor for the number $3 - 7 \sqrt{2}$ is

Discussion

45.	Find the value of ∠COB.
Answer» Find the value of $∠$ COB.

45.

Find the value of ∠COB.

Answer»

Find the value of $∠$ COB.

Discussion

46.	WXYZ is a parallelogram. Find the angle XYP (in degrees).135
Answer» WXYZ is a parallelogram. Find the angle XYP (in degrees). 135

Discussion

47.	When are three or more points said to be collinear?
Answer» When are three or more points said to be collinear?

Discussion

48.	In the given figure, lines XY and MN intersect at O. If ∠POY = and a:b = 2 : 3, find c.
Answer» In the given figure, lines XY and MN intersect at O. If ∠POY = and a:b = 2 : 3, find c.

48.

In the given figure, lines XY and MN intersect at O. If ∠POY = and a:b = 2 : 3, find c.

Answer»

In the given figure, lines XY and MN intersect at O. If ∠POY = and a:b = 2 : 3, find c.

Discussion

49.	A solid metal cylinder is of base radius 18 centimetres and height 40 centimetres. By melting this down, how many cylinders of base radius 2 centimetres and height 5 centimetres can be made?
Answer» A solid metal cylinder is of base radius 18 centimetres and height 40 centimetres. By melting this down, how many cylinders of base radius 2 centimetres and height 5 centimetres can be made?

49.

A solid metal cylinder is of base radius 18 centimetres and height 40 centimetres. By melting this down, how many cylinders of base radius 2 centimetres and height 5 centimetres can be made?

Answer»

A solid metal cylinder is of base radius 18 centimetres and height 40 centimetres. By melting this down, how many cylinders of base radius 2 centimetres and height 5 centimetres can be made?

Discussion

50.	What is the factorised form of w(x + y) - z(x + y)?
Answer» What is the factorised form of w(x + y) - z(x + y)?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If two sides of triangle are 5cm and 1.5 cm, the length of its third side cannot be ..... (A)3.7 cm (B) 4.1cm. (C) 3.8 cm. (D) 3.4 cm Please explain..

Two chords AB, CD of length 5 cm, 11 cm respectively of a circle are parallel. If the distance between AB and CD is 3 cm. find the radius of the circle.Assume that the chords are on the same side of the center.

Find the height of the cuboid if the volume of both the cuboid and the cube shown below are equal.

A 5 g wine cork has diameter 3 cm and a length of 5 cm. Its density is .

In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are ___.

To know the opinion of the students about Mathematics, a survey of 200 students was conducted.The data is recorded in the following table: OpinionLikeDislikeNumber of students13565 Find the probability that a student is chosen at random (i) likes Mathematics (ii) does not like it.

Choose the correct alternative for the blank. Ompreet is always __________ his brother Manpreet.

Question 142The paper clip below has the indicated length. What is the length in standard form.

An equilateral triangle ABC, whose side is 6 cm, is inscribed in a circle. Find the radius of the circle.

31. 1+sin square theta=3sin theta cos theta prove that tan theta=1or 1/2

26. The value of K for which the lines 2x+3y+7=0 and 27x+ky+25=0 are perpendicular is

If the dividend = x4+x3−2x2+x+1,divisor = x−1 and remainder = 2,then the quotient q(x) is.

In a triangle ABC, if 2−−→AC=3−−→CB and 2−−→OA+3−−→OB=λ⋅−−→OC, then λ is

√2x² +7x+5√2=0

In Δ ABC, ∠B = 35°, ∠C = 65° and the bisector of ∠BAC meets BC in P. Arrange AP, BP and CP in descending order.

If x+x−1=11, evaluate x2+x−2.

If 13√25−3√5+1=A3√25+B3√5+C, then A + B + C=?

In a parallelogram ABCD, determine the sum of angles ∠C and ∠D.

In Fig. 7.58, ΔABC is a triangle such that ABAC=BDDC,∠B=70∘,∠C=50∘. Find ∠BAD.

The sum of infinite terms of G.P 4, 2, 1...... is ___.

If A (0, 4, 3) B(0, 0, 0) and C (3, 0, 4) are three points defined in x, y, z coordinate system, then which one of the following vectors is perpendicular to both the vectors −−→AB and −−→BC

What is delta

The mass of oxygen and hydrogen in any sample of water is approximately in the ratio 8:1, how many grams of hydrogen would you find in 1 kg of water?

ΔABC is right angled at B, given 5×sinA=3. Find cos(∠C)+tan(∠A) + cosec(∠C).

12 spheres of the same size are made by melting a solid cylinder of diameter 16 cm and height 2 cm. The diameter of each sphere is .

A rational number whose decimal expansion is non-terminating can be expressed in the form pq, where p and q are coprime, and the prime factorisation of q is NOT of the form _____ , where n and m are non-negative integers.

In the adjoining figure, it is given that AB || CD, ∠BAO = 108∘ and ∠OCD = 120∘ then ∠AOC = ________.

Divide the first polynomial by the second polynomial and find the remainder using factor theorem .(i) x2 - 7x +9 ; (x + 1) (ii) 2x3 - 2x2 +ax - a ; ( x - a ) (iii) 54m3 + 18m2 -27m + 5 ; ( m - 3 )

The sum of length, breadth and height of a cuboidal box is 19 cm and the length of its diagonal is 11 cm. find the surface area of the cuboidal box.

if the radius of a sphere is increased by P%, then find the percentage increase in its surface area

ABCD is a trapezium in which AB || DC. M and N are the mid-points of AD and BC respectively. If AB = 12 cm, MN = 14 cm, then CD =

The area of a triangle whose sides are 13cm, 12cm &amp; 5cm is

In the adjoing figure, what value of x will make AOB, a straight line?

Experimental probability is also known as? __

A rectangle's sides are extended by 5 m. The new area of the figure is given by the expression: a(x)=x3+7x+8. x is the extension of sides. What is the new area?

A water tank in the shape of a prism has isosceles trapeziums as bases whose dimensions are shown below. The length of the tank is 80 centimetres. How many litres of water can it contain?

Which of the following figures lie on the same base and between the same parallel lines?

Question 11 Find the missing number in the box in each of the proportions: 35=□20

The locus of the centre of circle which touches (y−1)2+x2=1 externally and also touches x-axis, is

The expanded form of an expression is x2+y2+z2+2xy+2yz+2zx. Which of the following is the expression?

How many rational numbers can be inserted between 1/5 and 7/10

Which of the following is an irreducible expression?

The rationalising factor for the number 3−7√2 is

Find the value of ∠COB.

WXYZ is a parallelogram. Find the angle XYP (in degrees).135

When are three or more points said to be collinear?

In the given figure, lines XY and MN intersect at O. If ∠POY = and a:b = 2 : 3, find c.

A solid metal cylinder is of base radius 18 centimetres and height 40 centimetres. By melting this down, how many cylinders of base radius 2 centimetres and height 5 centimetres can be made?

What is the factorised form of w(x + y) - z(x + y)?

The area of a triangle whose sides are 13cm, 12cm & 5cm is