24740 + Interview Questions in Mathematics

1.	The value of the expression √(34 - 24√2) ×( 4 + 3√2).
Answer» The value of the expression √(34 - 24√2) ×( 4 + 3√2).

1.

The value of the expression √(34 - 24√2) ×( 4 + 3√2).

Answer»

The value of the expression

√(34 - 24√2) ×( 4 + 3√2).

2.	If the given figure, PQRS and EFRS are two parallelograms, then ar(\|\|gm PQRS) : ar(ΔMFR) = ________.
Answer» If the given figure, PQRS and EFRS are two parallelograms, then ar(\|\|^gm PQRS) : ar(ΔMFR) = ________.

Discussion

3.	Find the reminder when 4x³ - 3x² + 4x - 2 is divided by x + 2
Answer» Find the reminder when 4x³ - 3x² + 4x - 2 is divided by x + 2

Discussion

4.	Question 1Every rational number isA) A natural numberB) An integerC) A real numberD) A whole number
Answer» Question 1 Every rational number is A) A natural number B) An integer C) A real number D) A whole number

Discussion

5.	Look at the graph given below:The equation of the graph is .
Answer» Look at the graph given below: The equation of the graph is .

Discussion

6.	In a ΔABC, if ∠B = ∠C = 45°, which is the longest side?
Answer» In a ΔABC, if ∠B = ∠C = 45°, which is the longest side?

Discussion

7.	When the term is 4, what is the name of that polynomial?
Answer» When the term is 4, what is the name of that polynomial?

Discussion

8.	76.Find the ratio of the total surface area of a cylinder to its curved surface area , given hat its height and radius are 35 cm and 14 cm respectively .
Answer» 76.Find the ratio of the total surface area of a cylinder to its curved surface area , given hat its height and radius are 35 cm and 14 cm respectively .

Discussion

9.	37. 7log16/15+5log25/24+3log81/80 is equal to 1) log1 2)log2 3)log3 4)log5
Answer» 37. 7log16/15+5log25/24+3log81/80 is equal to 1) log1 2)log2 3)log3 4)log5

Discussion

10.	If the ratio of measures of two adjacent angles of a parallelogram is 1 : 2, find the measures of all angles of the parallelogram.
Answer» If the ratio of measures of two adjacent angles of a parallelogram is 1 : 2, find the measures of all angles of the parallelogram.

Discussion

11.	75.Prove that: tan /16 = (4+22) -(2+1)
Answer» 75.Prove that: tan /16 = (4+22) -(2+1)

Discussion

12.	Find two numbers x and y for which.
Answer» Find two numbers x and y for which.

12.

Find two numbers x and y for which.

Answer»

Find two numbers x and y for which.

Discussion

13.	Rationalise the denominators of each of the following: (i) 3√5 (ii) 32√5 (iii) 1√12 (iv) √2√5 (v) √3+1√2 (vi) √2+√5√3 (vii) 3√2√5
Answer» Rationalise the denominators of each of the following: (i) $\frac{3}{\sqrt{5}}$ (ii) $\frac{3}{2 \sqrt{5}}$ (iii) $\frac{1}{\sqrt{12}}$ (iv) $\frac{\sqrt{2}}{\sqrt{5}}$ (v) $\frac{\sqrt{3} + 1}{\sqrt{2}}$ (vi) $\frac{\sqrt{2} + \sqrt{5}}{\sqrt{3}}$ (vii) $\frac{3 \sqrt{2}}{\sqrt{5}}$

13.

Rationalise the denominators of each of the following: (i) 3√5 (ii) 32√5 (iii) 1√12 (iv) √2√5 (v) √3+1√2 (vi) √2+√5√3 (vii) 3√2√5

Answer»

Rationalise the denominators of each of the following:

(i) $\frac{3}{\sqrt{5}}$

(ii) $\frac{3}{2 \sqrt{5}}$

(iii) $\frac{1}{\sqrt{12}}$

(iv) $\frac{\sqrt{2}}{\sqrt{5}}$

(v) $\frac{\sqrt{3} + 1}{\sqrt{2}}$

(vi) $\frac{\sqrt{2} + \sqrt{5}}{\sqrt{3}}$

(vii) $\frac{3 \sqrt{2}}{\sqrt{5}}$

Discussion

14.	In □IJKL, side IJ \|\| side KL ∠I = 108° ∠K = 53° then find the measure of ∠J and ∠L.
Answer» In $□$ IJKL, side IJ \|\| side KL $∠$ I = $108^{°}$ $∠$ K = $53^{°}$ then find the measure of $∠$ J and $∠$ L.

Discussion

15.	Which of the following is a factor of x10−1 and also of x11−1 ?
Answer» Which of the following is a factor of $x^{10} - 1$ and also of $x^{11} - 1$ ?

Discussion

16.	A rectangular tank has dimensions 4 m × 3 m × 3 m. The amount of water it will contain when it is two-third filled is
Answer» A rectangular tank has dimensions 4 m × 3 m × 3 m. The amount of water it will contain when it is two-third filled is

Discussion

17.	Question 9Points P and Q have been taken on opposite sides AB and CD, respectively of a parallelogram ABCD such that AP=CQ. Show that AC and PQ bisect each other.
Answer» Question 9 Points P and Q have been taken on opposite sides AB and CD, respectively of a parallelogram ABCD such that AP=CQ. Show that AC and PQ bisect each other.

Discussion

18.	A fraction is 9/11,if 2 is added to both the numerator and denominator. The numerator and denominator of the fraction are x and y respectively. Write a linear equation for this information and draw a graph
Answer» A fraction is 9/11,if 2 is added to both the numerator and denominator. The numerator and denominator of the fraction are x and y respectively. Write a linear equation for this information and draw a graph

Discussion

19.	In the following figure, if AC and BD are diameters of the circle with centre O, then ADBC = ?
Answer» In the following figure, if AC and BD are diameters of the circle with centre O, then $\frac{A D}{B C}$ = ?

19.

In the following figure, if AC and BD are diameters of the circle with centre O, then ADBC = ?

Answer»

In the following figure, if AC and BD are diameters of the circle with centre O, then $\frac{A D}{B C}$ = ?

Discussion

20.	In the given figure, △ABC is an isosceles triangle in which AB = AC and a circle passing through B and C intersects AB and AC at D and E respectively. Prove that DE\|\|BC.
Answer» In the given figure, $△$ ABC is an isosceles triangle in which AB = AC and a circle passing through B and C intersects AB and AC at D and E respectively. Prove that DE\|\|BC.

20.

In the given figure, △ABC is an isosceles triangle in which AB = AC and a circle passing through B and C intersects AB and AC at D and E respectively. Prove that DE||BC.

Answer»

In the given figure, $△$ ABC is an isosceles triangle in which AB =
AC and a circle passing through B and C intersects AB and AC at D and E respectively.

Prove that DE||BC.

Discussion

21.	If a and b are rational numbers and √11−√7√11+√7=a−b√77, find the values of a and b.
Answer» If a and b are rational numbers and $\frac{\sqrt{11} - \sqrt{7}}{\sqrt{11} + \sqrt{7}} = a - b \sqrt{77},$ find the values of a and b.

Discussion

22.	The area of base of a conical vessel is 75.46 dm2 and its volume is 226.38 dm3. The height of the conical vessel is
Answer» The area of base of a conical vessel is 75.46 dm² and its volume is 226.38 dm³. The height of the conical vessel is

Discussion

23.	Factorise:p2(q+r)−(q+r)3
Answer» Factorise: $p^{2} (q + r) - (q + r)^{3}$

23.

Factorise:p2(q+r)−(q+r)3

Answer»

Factorise:

$p^{2} (q + r) - (q + r)^{3}$

Discussion

24.	If A = {x:x is an integer, −32<x<112},then A written in Roster form is
Answer» If A = ${x : x i s a n i n t e g e r, \frac{- 3}{2} < x < \frac{11}{2}}$ ,then A written in Roster form is

Discussion

25.	Question 5 (viii) Find 10.05 × 1.05
Answer» Question 5 (viii) Find 10.05 $\times$ 1.05

Discussion

26.	A die is tossed two times. The number of possible outcomes is ________.
Answer» A die is tossed two times. The number of possible outcomes is ________.

Discussion

27.	Factorize x^3-y^3+1+3x
Answer» Factorize x^3-y^3+1+3x

Discussion

28.	Question 2 (ii)AD is an altitude of an isosceles triangles ABC in which AB = AC.Show that AD bisects ∠A.
Answer» Question 2 (ii) AD is an altitude of an isosceles triangles ABC in which AB = AC. Show that AD bisects $∠ A$ .

Discussion

29.	The probability of a certain event is(a) 0(b) 1(c) 1/2(d) no existent
Answer» The probability of a certain event is (a) 0 (b) 1 (c) 1/2 (d) no existent

Discussion

30.	Question 90Every integer is a rational number.
Answer» Question 90 Every integer is a rational number.

Discussion

31.	The given area model diagram represents the multiplication statement
Answer» The given area model diagram represents the multiplication statement

Discussion

32.	On 1st April, 2015, furniture costing ₹ 55,000 was purchased. It is estimated that its life is 10 years at the end of which it will be sold for ₹ 5,000. Additions are made on 1st April 2016 and 1st October, 2018 to the value of ₹ 9,500 and ₹ 8,400 (Residual values ₹ 500 and ₹ 400 respectively). Show the Furniture Account for the first four years, if Depreciation is written off according to the Straight Line Method.
Answer» On 1st April, 2015, furniture costing ₹ 55,000 was purchased. It is estimated that its life is 10 years at the end of which it will be sold for ₹ 5,000. Additions are made on 1st April 2016 and 1st October, 2018 to the value of ₹ 9,500 and ₹ 8,400 (Residual values ₹ 500 and ₹ 400 respectively). Show the Furniture Account for the first four years, if Depreciation is written off according to the Straight Line Method.

Discussion

33.	AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24 cm. If the chords are on the opposite sides of the centre and the distance between them is 17 cm, find the radius of the circle.
Answer» AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24 cm. If the chords are on the opposite sides of the centre and the distance between them is 17 cm, find the radius of the circle.

Discussion

34.	t2-15 find the zeroes of quadratic polynomial and verify the relationship between the zeroes and it's coefficient
Answer» t2-15 find the zeroes of quadratic polynomial and verify the relationship between the zeroes and it's coefficient

Discussion

35.	The line segment joining the mid point of the adjacent sides of a quadrilateral form a
Answer» The line segment joining the mid point of the adjacent sides of a quadrilateral form a

Discussion

36.	Choose the right answer from the options given after every question. 37-34 = ................(i) 37-7 (ii) 37-10 (iii) 7312 (iv) 3720
Answer» Choose the right answer from the options given after every question. ${[{(\frac{3}{7})}^{- 3}]}^{4}$ = ................ (i) ${(\frac{3}{7})}^{- 7}$ (ii) ${(\frac{3}{7})}^{- 10}$ (iii) ${(\frac{7}{3})}^{12}$ (iv) ${(\frac{3}{7})}^{20}$

Discussion

37.	Question 129A king wanted to reward his advisor, a wiseman of the kingdom. So, he asked the wiseman to name his own reward. The wise man thanked the king but said that he would ask only for some gold coins each day for a month. The coins were to be counted out in a pattern of one coin for the first day, 3 coins for the second day, 5 coins for the third day and so on for 30 days. Without making calculations, find how many coins will the advisor get in that month?
Answer» Question 129 A king wanted to reward his advisor, a wiseman of the kingdom. So, he asked the wiseman to name his own reward. The wise man thanked the king but said that he would ask only for some gold coins each day for a month. The coins were to be counted out in a pattern of one coin for the first day, 3 coins for the second day, 5 coins for the third day and so on for 30 days. Without making calculations, find how many coins will the advisor get in that month?

37.

Question 129A king wanted to reward his advisor, a wiseman of the kingdom. So, he asked the wiseman to name his own reward. The wise man thanked the king but said that he would ask only for some gold coins each day for a month. The coins were to be counted out in a pattern of one coin for the first day, 3 coins for the second day, 5 coins for the third day and so on for 30 days. Without making calculations, find how many coins will the advisor get in that month?

Answer»

Question 129

A king wanted to reward his advisor, a wiseman of the kingdom. So, he asked the wiseman to name his own reward. The wise man thanked the king but said that he would ask only for some gold coins each day for a month. The coins were to be counted out in a pattern of one coin for the first day, 3 coins for the second day, 5 coins for the third day and so on for 30 days. Without making calculations, find how many coins will the advisor get in that month?

Discussion

38.	In a ∆ABC, if b=3, c=1 and B–C=π2, then A = ______________.
Answer» In a ∆ABC, if $b = \sqrt{3}, c = 1$ and $B - C = \frac{π}{2},$ then A = ______________.

Discussion

39.	Give the geometric representations of 2x + 9 = 0 as an equation(1) in one variable(2) in two variables
Answer» Give the geometric representations of 2x + 9 = 0 as an equation (1) in one variable (2) in two variables

39.

Give the geometric representations of 2x + 9 = 0 as an equation(1) in one variable(2) in two variables

Answer»

Give the geometric representations of 2x + 9 = 0 as an equation

(1) in one variable

(2) in two variables

Discussion

40.	Show that √2 is not a rational number (By method of contradiction).
Answer» Show that $\sqrt{2}$ is not a rational number (By method of contradiction).

Discussion

41.	With ¯¯¯¯¯¯¯¯PQ of length 6.1 cm as diameter, draw a circle.
Answer» With $¯ ¯¯¯¯¯¯ ¯ P Q$ of length $6.1 c m$ as diameter, draw a circle.

Discussion

42.	Construct a right-angled triangle whose hypotenuse measures 5 cm and the length of one whose sides containing the right angle measures 4.5cm.
Answer» Construct a right-angled triangle whose hypotenuse measures 5 cm and the length of one whose sides containing the right angle measures 4.5cm.

Discussion

43.	If cos B = 1, find the value of B if 0≤B≤90.
Answer» If cos B = 1, find the value of B if $0 \leq B \leq 90$ .

Discussion

44.	If sin 3A=cos(A−10o) and 3A is acute then, find the value of the angle A.
Answer» If $s i n 3 A = c o s (A - 10^{o})$ and $3 A$ is acute then, find the value of the angle $A .$

Discussion

45.	Direction(7-12): Answer the questions based on the information given in the passage belowTen persons, A through J, are sitting around a circular table and are facing the centre. A is sitting opposite to C and G is sitting opposite to H. B is sitting two places away from C. There are 2 people sitting between I and C. I is not adjacent to B. A is sitting to the right of F, who is opposite to E. D, who is not adjacent to B, is sitting opposite to J. C is closer to H than G. Common Solution: From statements i, ii, iii, and iv, we have two cases: Case 1: B is to the right of C. Case 2: B is to the left of C. From statements v and vi, H is exactly between I and J. In case 1, if D is between I and E, J must be between F and B. H cannot be seated exactly between I and J. If D is between I and A, J must be between C and B. H cannot be seated exactly between I and J. Hence, case 1 is not possible. Case 2: B is to the left of C. J must be adjacent to C, and H must be adjacent to I. Hence, D is adjacent to A. How many people are sitting between A and H when counted to the left of A?
Answer» Direction(7-12): Answer the questions based on the information given in the passage below Ten persons, A through J, are sitting around a circular table and are facing the centre. A is sitting opposite to C and G is sitting opposite to H. B is sitting two places away from C. There are 2 people sitting between I and C. I is not adjacent to B. A is sitting to the right of F, who is opposite to E. D, who is not adjacent to B, is sitting opposite to J. C is closer to H than G. Common Solution: From statements i, ii, iii, and iv, we have two cases: Case 1: B is to the right of C. Case 2: B is to the left of C. From statements v and vi, H is exactly between I and J. In case 1, if D is between I and E, J must be between F and B. H cannot be seated exactly between I and J. If D is between I and A, J must be between C and B. H cannot be seated exactly between I and J. Hence, case 1 is not possible. Case 2: B is to the left of C. J must be adjacent to C, and H must be adjacent to I. Hence, D is adjacent to A. How many people are sitting between A and H when counted to the left of A?

45.

Direction(7-12): Answer the questions based on the information given in the passage belowTen persons, A through J, are sitting around a circular table and are facing the centre. A is sitting opposite to C and G is sitting opposite to H. B is sitting two places away from C. There are 2 people sitting between I and C. I is not adjacent to B. A is sitting to the right of F, who is opposite to E. D, who is not adjacent to B, is sitting opposite to J. C is closer to H than G. Common Solution: From statements i, ii, iii, and iv, we have two cases: Case 1: B is to the right of C. Case 2: B is to the left of C. From statements v and vi, H is exactly between I and J. In case 1, if D is between I and E, J must be between F and B. H cannot be seated exactly between I and J. If D is between I and A, J must be between C and B. H cannot be seated exactly between I and J. Hence, case 1 is not possible. Case 2: B is to the left of C. J must be adjacent to C, and H must be adjacent to I. Hence, D is adjacent to A. How many people are sitting between A and H when counted to the left of A?

Answer»

Direction(7-12): Answer the questions based on the information given in the passage below

Ten persons, A through J, are sitting around a circular table and are facing the centre.

A is sitting opposite to C and G is sitting opposite to H.

B is sitting two places away from C.

There are 2 people sitting between I and C. I is not adjacent to B.

A is sitting to the right of F, who is opposite to E.

D, who is not adjacent to B, is sitting opposite to J.

C is closer to H than G.

Common Solution:

From statements i, ii, iii, and iv, we have two cases:

Case 1: B is to the right of C.

Case 2: B is to the left of C.

From statements v and vi, H is exactly between I and J. In case 1, if D is between I and E, J must be between F and B. H cannot be seated exactly between I and J. If D is between I and A, J must be between C and B. H cannot be seated exactly between I and J.

Hence, case 1 is not possible.

Case 2: B is to the left of C.

J must be adjacent to C, and H must be adjacent to I. Hence, D is adjacent to A.

How many people are sitting between A and H when counted to the left of A?

Discussion

46.	The monthly pocket money of six friends is given below:Rs 45, Rs 30, Rs 50, Rs 25, Rs 45(a) What is the highest pocket money?(b) What is the lowest pocket money?(c) What is the range?(d) Arrange the amounts of pocket money in ascending order.
Answer» The monthly pocket money of six friends is given below: Rs 45, Rs 30, Rs 50, Rs 25, Rs 45 (a) What is the highest pocket money? (b) What is the lowest pocket money? (c) What is the range? (d) Arrange the amounts of pocket money in ascending order.

Discussion

47.	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

48.	if the non paralll sides of a trapezium are equal,prove that it is cyclic
Answer» if the non paralll sides of a trapezium are equal,prove that it is cyclic

Discussion

49.	Measure of one of the angles of a parallelogram is twice the measure of its adjacent angle. Then angles of the parallelogram are
Answer» Measure of one of the angles of a parallelogram is twice the measure of its adjacent angle. Then angles of the parallelogram are

Discussion

50.	The angle between vectors (j+k) and (k - j) is(a) 30°(c) 60°(b) 45°(d) 90°
Answer» The angle between vectors (j+k) and (k - j) is (a) 30° (c) 60° (b) 45° (d) 90°

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The value of the expression √(34 - 24√2) ×( 4 + 3√2).

If the given figure, PQRS and EFRS are two parallelograms, then ar(||gm PQRS) : ar(ΔMFR) = ________.

Find the reminder when 4x³ - 3x² + 4x - 2 is divided by x + 2

Question 1Every rational number isA) A natural numberB) An integerC) A real numberD) A whole number

Look at the graph given below:The equation of the graph is .

In a ΔABC, if ∠B = ∠C = 45°, which is the longest side?

When the term is 4, what is the name of that polynomial?

76.Find the ratio of the total surface area of a cylinder to its curved surface area , given hat its height and radius are 35 cm and 14 cm respectively .

37. 7log16/15+5log25/24+3log81/80 is equal to 1) log1 2)log2 3)log3 4)log5

If the ratio of measures of two adjacent angles of a parallelogram is 1 : 2, find the measures of all angles of the parallelogram.

75.Prove that: tan /16 = (4+22) -(2+1)

Find two numbers x and y for which.

Rationalise the denominators of each of the following: (i) 3√5 (ii) 32√5 (iii) 1√12 (iv) √2√5 (v) √3+1√2 (vi) √2+√5√3 (vii) 3√2√5

In □IJKL, side IJ || side KL ∠I = 108° ∠K = 53° then find the measure of ∠J and ∠L.

Which of the following is a factor of x10−1 and also of x11−1 ?

A rectangular tank has dimensions 4 m × 3 m × 3 m. The amount of water it will contain when it is two-third filled is

Question 9Points P and Q have been taken on opposite sides AB and CD, respectively of a parallelogram ABCD such that AP=CQ. Show that AC and PQ bisect each other.

A fraction is 9/11,if 2 is added to both the numerator and denominator. The numerator and denominator of the fraction are x and y respectively. Write a linear equation for this information and draw a graph

In the following figure, if AC and BD are diameters of the circle with centre O, then ADBC = ?

In the given figure, △ABC is an isosceles triangle in which AB = AC and a circle passing through B and C intersects AB and AC at D and E respectively. Prove that DE||BC.

If a and b are rational numbers and √11−√7√11+√7=a−b√77, find the values of a and b.

The area of base of a conical vessel is 75.46 dm2 and its volume is 226.38 dm3. The height of the conical vessel is

Factorise:p2(q+r)−(q+r)3

If A = {x:x is an integer, −32&lt;x&lt;112},then A written in Roster form is

Question 5 (viii) Find 10.05 × 1.05

A die is tossed two times. The number of possible outcomes is ________.

Factorize x^3-y^3+1+3x

Question 2 (ii)AD is an altitude of an isosceles triangles ABC in which AB = AC.Show that AD bisects ∠A.

The probability of a certain event is(a) 0(b) 1(c) 1/2(d) no existent

Question 90Every integer is a rational number.

The given area model diagram represents the multiplication statement

AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24 cm. If the chords are on the opposite sides of the centre and the distance between them is 17 cm, find the radius of the circle.

t2-15 find the zeroes of quadratic polynomial and verify the relationship between the zeroes and it's coefficient

The line segment joining the mid point of the adjacent sides of a quadrilateral form a

Choose the right answer from the options given after every question. 37-34 = ................(i) 37-7 (ii) 37-10 (iii) 7312 (iv) 3720

In a ∆ABC, if b=3, c=1 and B–C=π2, then A = ______________.

Give the geometric representations of 2x + 9 = 0 as an equation(1) in one variable(2) in two variables

Show that √2 is not a rational number (By method of contradiction).

With ¯¯¯¯¯¯¯¯PQ of length 6.1 cm as diameter, draw a circle.

Construct a right-angled triangle whose hypotenuse measures 5 cm and the length of one whose sides containing the right angle measures 4.5cm.

If cos B = 1, find the value of B if 0≤B≤90.

If sin 3A=cos(A−10o) and 3A is acute then, find the value of the angle A.

The monthly pocket money of six friends is given below:Rs 45, Rs 30, Rs 50, Rs 25, Rs 45(a) What is the highest pocket money?(b) What is the lowest pocket money?(c) What is the range?(d) Arrange the amounts of pocket money in ascending order.

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

if the non paralll sides of a trapezium are equal,prove that it is cyclic

Measure of one of the angles of a parallelogram is twice the measure of its adjacent angle. Then angles of the parallelogram are

The angle between vectors (j+k) and (k - j) is(a) 30°(c) 60°(b) 45°(d) 90°

If A = {x:x is an integer, −32<x<112},then A written in Roster form is