24740 + Interview Questions in Mathematics

1.	Write the value of (12)3+(13)3−(56)3
Answer» Write the value of ${(\frac{1}{2})}^{3} + {(\frac{1}{3})}^{3} - {(\frac{5}{6})}^{3}$

Discussion

2.	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 $108^{\circ}$ . With this angle as given, draw an angle of $54^{\circ}$ .

Discussion

3.	What is the area of given rectangle?(Area of rectangle = Length × Width)
Answer» What is the area of given rectangle? (Area of rectangle = Length × Width)

Discussion

4.	Subtract 1535 from 1723
Answer» Subtract $15 \frac{3}{5}$ from $17 \frac{2}{3}$

4.

Subtract 1535 from 1723

Answer»

Subtract $15 \frac{3}{5}$ from $17 \frac{2}{3}$

Discussion

5.	Question 4(vii)Simplify :(m2−n2m)2+2m3n2
Answer» Question 4(vii) Simplify : $(m^{2} - n^{2} m)^{2} + 2 m^{3} n^{2}$

Discussion

6.	In the given figure, AE and BD are two medians of a △ABC meeting at F. The ratio of the area of △ABF to the area of the quadrilateral FDCE is
Answer» In the given figure, $A E$ and $B D$ are two medians of a $△ A B C$ meeting at $F .$ The ratio of the area of $△ A B F$ to the area of the quadrilateral $F D C E$ is

6.

In the given figure, AE and BD are two medians of a △ABC meeting at F. The ratio of the area of △ABF to the area of the quadrilateral FDCE is

Answer»

In the given figure, $A E$ and $B D$ are two medians of a $△ A B C$ meeting at $F .$ The ratio of the area of $△ A B F$ to the area of the quadrilateral $F D C E$ is

Discussion

7.	Question 6 (iii)Given the linear equation 2x + 3y - 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is:coincident lines
Answer» Question 6 (iii) Given the linear equation 2x + 3y - 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is: coincident lines

Discussion

8.	Two adjacent angles of a parallelogram are equal. What is the measure of each of these angles
Answer» Two adjacent angles of a parallelogram are equal. What is the measure of each of these angles

Discussion

9.	Question 3An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?
Answer» Question 3 An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?

Discussion

10.	Properties of nine point circle and pedal triangle
Answer» Properties of nine point circle and pedal triangle

Discussion

11.	If A={x∈R:\|x−2\|>1},B={x∈R:√x2−3>1}, C={x∈R:\|x−4\|≥2} and Z is the set of all integers, then the number of subsets of the set (A∩B∩C)c∩Z is
Answer» If $A = {x \in R : \| x - 2 \| > 1}, B = {x \in R : \sqrt{x^{2} - 3} > 1},$ $C = {x \in R : \| x - 4 \| \geq 2}$ and $Z$ is the set of all integers, then the number of subsets of the set $(A \cap B \cap C)^{c} \cap Z$ is

Discussion

12.	Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer: (i) 3x2−4x+15 (ii) y2+2√3 (iii) 3√x+√2x (iv) x−4x (v) x12+y3+t50
Answer» Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer: (i) $3 x^{2} - 4 x + 15$ (ii) $y^{2} + 2 \sqrt{3}$ (iii) $3 \sqrt{x} + \sqrt{2} x$ (iv) $x - \frac{4}{x}$ (v) $x^{12} + y^{3} + t^{50}$

12.

Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer: (i) 3x2−4x+15 (ii) y2+2√3 (iii) 3√x+√2x (iv) x−4x (v) x12+y3+t50

Answer»

Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer:

(i) $3 x^{2} - 4 x + 15$

(ii) $y^{2} + 2 \sqrt{3}$

(iii) $3 \sqrt{x} + \sqrt{2} x$

(iv) $x - \frac{4}{x}$

(v) $x^{12} + y^{3} + t^{50}$

Discussion

13.	The bisectors of any two adjacent angles of a parallelogram intersect at
Answer» The bisectors of any two adjacent angles of a parallelogram intersect at

Discussion

14.	What is the value of a3−b3 ?
Answer» What is the value of $a^{3} - b^{3}$ ?

Discussion

15.	The quantities a, 6, 12, and b are in continued proportion. Find the values of a and b. Continued proportion means a:b :: b:c :: c:d
Answer» The quantities a, 6, 12, and b are in continued proportion. Find the values of a and b. Continued proportion means a:b :: b:c :: c:d

15.

The quantities a, 6, 12, and b are in continued proportion. Find the values of a and b. Continued proportion means a:b :: b:c :: c:d

Answer»

The quantities a, 6, 12, and b are in continued proportion. Find the values of a and b.

Continued proportion means a:b :: b:c :: c:d

Discussion

16.	Find value:[log to base3]×[log to base2]×[log to base√5 (5^4)]=?
Answer» Find value: [log to base3]×[log to base2]×[log to base√5 (5^4)]=?

Discussion

17.	If the interior angle of a regular polygon is double the exterior angle, the number of sides in the polygon is
Answer» If the interior angle of a regular polygon is double the exterior angle, the number of sides in the polygon is

Discussion

18.	Find the value of using suitable identity
Answer» Find the value of using suitable identity

Discussion

19.	Question 1 Prove that line of centres of two intersecting circles subtends equal angles at the two points of intersection.
Answer» Question 1 Prove that line of centres of two intersecting circles subtends equal angles at the two points of intersection.

Discussion

20.	In a cross staff survey, the perpendicular offsets are taken on right and left of the chain line AD as shown in figure - all values are in meters. The area enclosed by ABCDEFA, computed by trapezoidal method is
Answer» In a cross staff survey, the perpendicular offsets are taken on right and left of the chain line $A D$ as shown in figure - all values are in meters. The area enclosed by $A B C D E F A$ , computed by trapezoidal method is

Discussion

21.	Draw a less than type ogive curve from the given data. Class Frequency 5−10 310−15615−20920−251225−30830−3510
Answer» Draw a less than type ogive curve from the given data. $\begin{matrix} C l a s s & F r e q u e n c y 5 - 10 & 3 10 - 15 & 6 15 - 20 & 9 20 - 25 & 12 25 - 30 & 8 30 - 35 & 10 \end{matrix}$

21.

Draw a less than type ogive curve from the given data. Class Frequency 5−10 310−15615−20920−251225−30830−3510

Answer»

Draw a less than type ogive curve from the given data.

$\begin{matrix} C l a s s & F r e q u e n c y 5 - 10 & 3 10 - 15 & 6 15 - 20 & 9 20 - 25 & 12 25 - 30 & 8 30 - 35 & 10 \end{matrix}$

Discussion

22.

Following Receipts and Payments Account was prepared from the Cash Book of Delhi Charitable Trust for the year ending 31st March, 2019: RECEIPTS AND PAYMENTS ACCOUNT for the year ending 31st March, 2019 Dr. Cr. Receipts ₹ Payments ₹ To Balance b/d: By Charity 1,15,000 Cash in Hand 1,15,000 By Rent and Taxes 32,000 Cash at Bank 1,26,000 By Salary 60,000 To Donations 90,000 By Printing 6,000 To Subscriptions 4,28,000 By Postage 3,000 To Legacies Donations 1,80,000 By Advertisements 45,000 To Interest on Investment 45,000 By Insurance 20,000 To Sale of old Newspaper 2,000 By Furniture 2,16,000 By Investment 2,30,000 By Balance c/d: Cash in Hand 99,000 Cash at Bank 1,60,000 9,86,000 9,86,000 Prepare Income and Expenditure Account for the year ended 31st March, 2019, and Balance Sheet as on that date after the following adjustments:(i) Insurance premium was paid for insurance taken w.e.f. 1st July, 2018.(ii) Interest on investment ₹ 11,000 accrued was not received.(iii) Rent ₹ 6,000; Salary ₹ 9,000 and advertisement expenses ₹ 10,000 outstanding as on 31st March, 2019.(iv) Legacy Donation is towards construction of Library Block.

Answer» Following Receipts and Payments Account was prepared from the Cash Book of Delhi Charitable Trust for the year ending 31st March, 2019:

RECEIPTS AND PAYMENTS ACCOUNT for the year ending 31st March, 2019
Dr.				Cr.
Receipts	₹	Payments	₹
To Balance b/d:		By Charity	1,15,000
Cash in Hand	1,15,000	By Rent and Taxes	32,000
Cash at Bank	1,26,000	By Salary	60,000
To Donations	90,000	By Printing	6,000
To Subscriptions	4,28,000	By Postage	3,000
To Legacies Donations	1,80,000	By Advertisements	45,000
To Interest on Investment	45,000	By Insurance	20,000
To Sale of old Newspaper	2,000	By Furniture	2,16,000
		By Investment	2,30,000
		By Balance c/d:
		Cash in Hand	99,000
		Cash at Bank	1,60,000

	9,86,000		9,86,000

Prepare Income and Expenditure Account for the year ended 31st March, 2019, and Balance Sheet as on that date after the following adjustments:

(i) Insurance premium was paid for insurance taken w.e.f. 1st July, 2018.

(ii) Interest on investment ₹ 11,000 accrued was not received.

(iii) Rent ₹ 6,000; Salary ₹ 9,000 and advertisement expenses ₹ 10,000 outstanding as on 31st March, 2019.

(iv) Legacy Donation is towards construction of Library Block.

Discussion

23.	Equivalent rational number of 5−3 is
Answer» Equivalent rational number of $\frac{5}{- 3}$ is

Discussion

24.	Which of the following is a polynomial in one variable with degree 3?
Answer» Which of the following is a polynomial in one variable with degree 3?

Discussion

25.	Which of the following fraction is greatest in value?
Answer» Which of the following fraction is greatest in value?

Discussion

26.	Express each of the following decimals in the form pq :(i) 7.010 (ii) 9.90 (iii) 1.0001
Answer» Express each of the following decimals in the form $\frac{p}{q}$ : (i) 7.010 (ii) 9.90 (iii) 1.0001

Discussion

27.	The hypotenuse of a right angled triangle is 25 cm. The other two sides are such that one is 5 cm longer than the other. Their lengths (in cm) are
Answer» The hypotenuse of a right angled triangle is 25 cm. The other two sides are such that one is 5 cm longer than the other. Their lengths (in cm) are

Discussion

28.	27. The number of words of 5 letters that can be made with the letters of the word 'PROPOSITION'
Answer» 27. The number of words of 5 letters that can be made with the letters of the word 'PROPOSITION'

Discussion

29.	If tan 2A = cot (A-18∘), then find the value of A.
Answer» If tan 2A = cot (A- $18^{\circ}$ ), then find the value of A.

Discussion

30.	If n is a natural number, then n is(a) always a natural number(b) always an irrational number(c) always an irrational number(d) sometimes a natural number and sometimes an irrational number
Answer» If n is a natural number, then $\sqrt{n}$ is (a) always a natural number (b) always an irrational number (c) always an irrational number (d) sometimes a natural number and sometimes an irrational number

Discussion

31.	The sum of two numbers is 6. If we multiply first by 3 and add second number to it, we get 10. Form equations and solve by matrix method and ECT.
Answer» The sum of two numbers is 6. If we multiply first by 3 and add second number to it, we get 10. Form equations and solve by matrix method and ECT.

Discussion

32.	Repeat question 6, ifhappensto be a diameter.
Answer» Repeat question 6, if happens to be a diameter.

Discussion

33.	Define statistics as a subject.
Answer» Define statistics as a subject.

Discussion

34.	In ∆ABC, D, E and F are respectively mid points of BC, CA and AB. If the lengths of side AB, BC and CA are 7 cm, 8 cm and 9 cm respectively, the perimeter of ∆DEF will be
Answer» In ∆ABC, D, E and F are respectively mid points of BC, CA and AB. If the lengths of side AB, BC and CA are 7 cm, 8 cm and 9 cm respectively, the perimeter of ∆DEF will be

34.

In ∆ABC, D, E and F are respectively mid points of BC, CA and AB. If the lengths of side AB, BC and CA are 7 cm, 8 cm and 9 cm respectively, the perimeter of ∆DEF will be

Answer»

In ∆ABC, D, E and F are respectively mid points of BC, CA and AB. If the lengths of side AB, BC and CA are 7 cm, 8 cm and 9 cm respectively, the perimeter of ∆DEF will be

Discussion

35.	35.Find the equations of the lines through the point (3, 2) which make an angle of 45^° withthe line x-2y=3.
Answer» 35.Find the equations of the lines through the point (3, 2) which make an angle of 45^° withthe line x-2y=3.

Discussion

36.	Question 2 (iv)Choose the correct option and justify your choice.(iv) 2tan3001−tan2300=(A) cos60∘(B) sin60∘(C) tan60∘(D) sin30∘
Answer» Question 2 (iv) Choose the correct option and justify your choice. (iv) $\frac{2 t a n 3 0^{0}}{1 - t a n^{2} 30^{0}} =$ (A) $c o s 60^{\circ}$ (B) $s i n 60^{\circ}$ (C) $t a n 60^{\circ}$ (D) $s i n 30^{\circ}$

Discussion

37.	The area of a triangle, with sides a, b, c and semi-perimeter s, is:
Answer» The area of a triangle, with sides $a, b, c$ and semi-perimeter $s$ , is:

Discussion

38.	The base of a prism is a right triangle with the sides perpendicular to each other of lengths 5 cm and 10 cm, respectively. If the height of the prism is 100 cm, then find the amount of water it will displace when placed in a container filled with water.
Answer» The base of a prism is a right triangle with the sides perpendicular to each other of lengths 5 cm and 10 cm, respectively. If the height of the prism is 100 cm, then find the amount of water it will displace when placed in a container filled with water.

Discussion

39.	\sqrt[3]2 prove it irrational
Answer» \sqrt[3]2 prove it irrational

Discussion

40.	In ΔABC, ∠B = ∠C and ray AX bisects the exterior angle ∠DAC. If ∠DAX = 70°, then ∠ACB =(a) 35°(b) 90°(c) 70°(d) 55°
Answer» In ΔABC, ∠B = ∠C and ray AX bisects the exterior angle ∠DAC. If ∠DAX = 70°, then ∠ACB = (a) 35° (b) 90° (c) 70° (d) 55°

Discussion

41.	what is the equavalent resis†an ce against two corners of a rhombus with its diagonals connectes.each side (including diagonals)has a resis†an ce of R ohm thus the figure contains 8 resitors.
Answer» what is the equavalent resis†an ce against two corners of a rhombus with its diagonals connectes.each side (including diagonals)has a resis†an ce of R ohm thus the figure contains 8 resitors.

Discussion

42.	Question 5ABC and DBC are two isosceles triangles on the same base BC (see the given figure). Show that ∠ ABD=∠ ACD.
Answer» Question 5 ABC and DBC are two isosceles triangles on the same base BC (see the given figure). Show that $∠ A B D = ∠ A C D .$

Discussion

43.	The points A(0, 6), B(-5, 3) and C(3, 1) are the vertices of a triangle which is
Answer» The points A(0, 6), B(-5, 3) and C(3, 1) are the vertices of a triangle which is

Discussion

44.	Find the quotient and remainder when each of the polynomials below is divided by 2x + 1.(i) (ii) (iii) (iv) (v) (vi)
Answer» Find the quotient and remainder when each of the polynomials below is divided by 2x + 1. (i) (ii) (iii) (iv) (v) (vi)

44.

Find the quotient and remainder when each of the polynomials below is divided by 2x + 1.(i) (ii) (iii) (iv) (v) (vi)

Answer»

Find the quotient and remainder when each of the polynomials below is divided by 2x + 1.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Discussion

45.	The number of non-negative and non-positive integers are ___.
Answer» The number of non-negative and non-positive integers are ___.

Discussion

46.	If the mean of 5 observations x, x + 2, x + 4, x + 6 and x + 8 is 11, find the value of x. [CBSE 2014]
Answer» If the mean of 5 observations x, x + 2, x + 4, x + 6 and x + 8 is 11, find the value of x. [CBSE 2014]

Discussion

47.	In Fig. 91, AOB is a straight line and 4x = 5y. The value of x is(a) 100(b) 105(c) 110(d) 115
Answer» In Fig. 91, AOB is a straight line and 4x = 5y. The value of x is (a) 100 (b) 105 (c) 110 (d) 115

Discussion

48.	What is a real number ?
Answer» What is a real number ?

Discussion

49.	THE CURVED SURFACE AREA OF THE CYLINDER IS 1760 CM. SQUARE AND IT VOLUME IS 12320 CUBIC CM .FIND ITS HEIGHT.
Answer» THE CURVED SURFACE AREA OF THE CYLINDER IS 1760 CM. SQUARE AND IT VOLUME IS 12320 CUBIC CM .FIND ITS HEIGHT.

Discussion

50.

Find the remainder when x 3+ 3x2 + 3x+1 is divided by x And please explain

Answer»

Find the remainder when x ³+ 3x² + 3x+1 is divided by x

And please explain

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Write the value of (12)3+(13)3−(56)3

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

What is the area of given rectangle?(Area of rectangle = Length × Width)

Subtract 1535 from 1723

Question 4(vii)Simplify :(m2−n2m)2+2m3n2

In the given figure, AE and BD are two medians of a △ABC meeting at F. The ratio of the area of △ABF to the area of the quadrilateral FDCE is

Question 6 (iii)Given the linear equation 2x + 3y - 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is:coincident lines

Two adjacent angles of a parallelogram are equal. What is the measure of each of these angles

Question 3An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?

Properties of nine point circle and pedal triangle

If A={x∈R:|x−2|&gt;1},B={x∈R:√x2−3&gt;1}, C={x∈R:|x−4|≥2} and Z is the set of all integers, then the number of subsets of the set (A∩B∩C)c∩Z is

Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer: (i) 3x2−4x+15 (ii) y2+2√3 (iii) 3√x+√2x (iv) x−4x (v) x12+y3+t50

The bisectors of any two adjacent angles of a parallelogram intersect at

What is the value of a3−b3 ?

The quantities a, 6, 12, and b are in continued proportion. Find the values of a and b. Continued proportion means a:b :: b:c :: c:d

Find value:[log to base3]×[log to base2]×[log to base√5 (5^4)]=?

If the interior angle of a regular polygon is double the exterior angle, the number of sides in the polygon is

Find the value of using suitable identity

Question 1 Prove that line of centres of two intersecting circles subtends equal angles at the two points of intersection.

In a cross staff survey, the perpendicular offsets are taken on right and left of the chain line AD as shown in figure - all values are in meters. The area enclosed by ABCDEFA, computed by trapezoidal method is

Draw a less than type ogive curve from the given data. Class Frequency 5−10 310−15615−20920−251225−30830−3510

Equivalent rational number of 5−3 is

Which of the following is a polynomial in one variable with degree 3?

Which of the following fraction is greatest in value?

Express each of the following decimals in the form pq :(i) 7.010 (ii) 9.90 (iii) 1.0001

The hypotenuse of a right angled triangle is 25 cm. The other two sides are such that one is 5 cm longer than the other. Their lengths (in cm) are

27. The number of words of 5 letters that can be made with the letters of the word 'PROPOSITION'

If tan 2A = cot (A-18∘), then find the value of A.

If n is a natural number, then n is(a) always a natural number(b) always an irrational number(c) always an irrational number(d) sometimes a natural number and sometimes an irrational number

The sum of two numbers is 6. If we multiply first by 3 and add second number to it, we get 10. Form equations and solve by matrix method and ECT.

Repeat question 6, ifhappensto be a diameter.

Define statistics as a subject.

In ∆ABC, D, E and F are respectively mid points of BC, CA and AB. If the lengths of side AB, BC and CA are 7 cm, 8 cm and 9 cm respectively, the perimeter of ∆DEF will be

35.Find the equations of the lines through the point (3, 2) which make an angle of 45^° withthe line x-2y=3.

Question 2 (iv)Choose the correct option and justify your choice.(iv) 2tan3001−tan2300=(A) cos60∘(B) sin60∘(C) tan60∘(D) sin30∘

The area of a triangle, with sides a, b, c and semi-perimeter s, is:

The base of a prism is a right triangle with the sides perpendicular to each other of lengths 5 cm and 10 cm, respectively. If the height of the prism is 100 cm, then find the amount of water it will displace when placed in a container filled with water.

\sqrt[3]2 prove it irrational

In ΔABC, ∠B = ∠C and ray AX bisects the exterior angle ∠DAC. If ∠DAX = 70°, then ∠ACB =(a) 35°(b) 90°(c) 70°(d) 55°

what is the equavalent resis†an ce against two corners of a rhombus with its diagonals connectes.each side (including diagonals)has a resis†an ce of R ohm thus the figure contains 8 resitors.

Question 5ABC and DBC are two isosceles triangles on the same base BC (see the given figure). Show that ∠ ABD=∠ ACD.

The points A(0, 6), B(-5, 3) and C(3, 1) are the vertices of a triangle which is

Find the quotient and remainder when each of the polynomials below is divided by 2x + 1.(i) (ii) (iii) (iv) (v) (vi)

The number of non-negative and non-positive integers are ___.

If the mean of 5 observations x, x + 2, x + 4, x + 6 and x + 8 is 11, find the value of x. [CBSE 2014]

In Fig. 91, AOB is a straight line and 4x = 5y. The value of x is(a) 100(b) 105(c) 110(d) 115

What is a real number ?

THE CURVED SURFACE AREA OF THE CYLINDER IS 1760 CM. SQUARE AND IT VOLUME IS 12320 CUBIC CM .FIND ITS HEIGHT.

Find the remainder when x 3+ 3x2 + 3x+1 is divided by x And please explain

If A={x∈R:|x−2|>1},B={x∈R:√x2−3>1}, C={x∈R:|x−4|≥2} and Z is the set of all integers, then the number of subsets of the set (A∩B∩C)c∩Z is