24740 + Interview Questions in Mathematics

1.	Question 6 A field in the form of a parallelogram has sides 60m and 40m and one of its diagonals is 80m long. Find the area of the parallelogram.
Answer» Question 6 A field in the form of a parallelogram has sides 60m and 40m and one of its diagonals is 80m long. Find the area of the parallelogram.

Discussion

2.	Question 25 In the following question, out of the four options, only one is correct. Write the correct answer. The standard form for 2340000000 is (a) 2.34×108 (b) 0.234×109 (c) 2.34×10−8 (d) 0.234×10−9
Answer» Question 25 In the following question, out of the four options, only one is correct. Write the correct answer. The standard form for 2340000000 is (a) $2.34 \times 10^{8}$ (b) $0.234 \times 10^{9}$ (c) $2.34 \times 10^{- 8}$ (d) $0.234 \times 10^{- 9}$

2.

Question 25 In the following question, out of the four options, only one is correct. Write the correct answer. The standard form for 2340000000 is (a) 2.34×108 (b) 0.234×109 (c) 2.34×10−8 (d) 0.234×10−9

Answer»

Question 25

In the following question, out of the four options, only one is correct. Write the correct answer.

The standard form for 2340000000 is

(a) $2.34 \times 10^{8}$

(b) $0.234 \times 10^{9}$

(c) $2.34 \times 10^{- 8}$

(d) $0.234 \times 10^{- 9}$

Discussion

3.	How many rational numbers are there between √3 to √7 ?
Answer» How many rational numbers are there between √3 to √7 ?

Discussion

4.	Activity on How to make square root spiral by not using treacing paper
Answer» Activity on How to make square root spiral by not using treacing paper

Discussion

5.	Find the ordinate of the point whose abscissa is -5 and lies on the x-axis.
Answer» Find the ordinate of the point whose abscissa is -5 and lies on the x-axis.

Discussion

6.	Simplify: (a+2b+3c)2 - (a-2b-3c)2 - 6b2 - 9bc
Answer» Simplify: (a+2b+3c)² - (a-2b-3c)²- 6b²- 9bc

Discussion

7.	A metal pipe is 77 cm long .the inner diameter of a cross section is 4 cm, the outer diameter being 4.4 cm. find its total surface area.
Answer» A metal pipe is $77 c m$ long .the inner diameter of a cross section is $4 c m$ , the outer diameter being $4.4 c m$ . find its total surface area.

Discussion

8.	AB is a diameter of the circle APBR as shown in the figure. APQ and RBQ are straight lines. Find : (i) ∠ PRB, (ii) ∠ PBR, (iii) ∠ BPR.
Answer» AB is a diameter of the circle APBR as shown in the figure. APQ and RBQ are straight lines. Find : (i) $∠$ PRB, (ii) $∠$ PBR, (iii) $∠$ BPR.

8.

AB is a diameter of the circle APBR as shown in the figure. APQ and RBQ are straight lines. Find : (i) ∠ PRB, (ii) ∠ PBR, (iii) ∠ BPR.

Answer»

AB is a diameter of the circle APBR as shown in the figure. APQ and RBQ are straight lines.

Find :

(i) $∠$ PRB,

(ii) $∠$ PBR,

(iii) $∠$ BPR.

Discussion

9.	In a class, 8 students out of 28 have a dog as their pet animal at home ,6 students have a cat as their pet animal .10 students have a dog and cat both, then how many students do not have a dog or cat as their pet animal at home?
Answer» In a class, 8 students out of 28 have a dog as their pet animal at home ,6 students have a cat as their pet animal .10 students have a dog and cat both, then how many students do not have a dog or cat as their pet animal at home?

Discussion

10.	Study the following table carefully to answer the questions that follow: Number (N) of candidates (in lakhs) appearing for an entrance examination from six different states and the percentage (P) of candidates clearing the same over the years State→ ABCDEFYear↓ N ∣PN ∣PN ∣PN ∣PN ∣PN ∣P20041.23∣421.04∣511.11∣321.32∣241.23∣361.33∣3120051.05∣431.12∣621.07∣471.15∣491.18∣551.24∣2420062.04∣381.48∣321.08∣281.96∣351.42∣491.58∣2620071.98∣412.07∣431.19∣301.88∣461.36∣471.79∣2920081.66∣531.81∣501.56∣421.82∣601.73∣571.86∣3420091.57∣391.73∣361.64∣522.01∣561.69∣551.95∣37 What is the total number of candidates clearing the entrance exam from States E and F together in the year 2006?
Answer» Study the following table carefully to answer the questions that follow: Number (N) of candidates (in lakhs) appearing for an entrance examination from six different states and the percentage (P) of candidates clearing the same over the years $\begin{matrix} S t a t e \to & A & B & C & D & E & F Y e a r ↓ N ∣ P & N ∣ P & N ∣ P & N ∣ P & N ∣ P & N ∣ P 2004 & 1.23 ∣ 42 & 1.04 ∣ 51 & 1.11 ∣ 32 & 1.32 ∣ 24 & 1.23 ∣ 36 & 1.33 ∣ 31 2005 & 1.05 ∣ 43 & 1.12 ∣ 62 & 1.07 ∣ 47 & 1.15 ∣ 49 & 1.18 ∣ 55 & 1.24 ∣ 24 2006 & 2.04 ∣ 38 & 1.48 ∣ 32 & 1.08 ∣ 28 & 1.96 ∣ 35 & 1.42 ∣ 49 & 1.58 ∣ 26 2007 & 1.98 ∣ 41 & 2.07 ∣ 43 & 1.19 ∣ 30 & 1.88 ∣ 46 & 1.36 ∣ 47 & 1.79 ∣ 29 2008 & 1.66 ∣ 53 & 1.81 ∣ 50 & 1.56 ∣ 42 & 1.82 ∣ 60 & 1.73 ∣ 57 & 1.86 ∣ 34 2009 & 1.57 ∣ 39 & 1.73 ∣ 36 & 1.64 ∣ 52 & 2.01 ∣ 56 & 1.69 ∣ 55 & 1.95 ∣ 37 \end{matrix}$ What is the total number of candidates clearing the entrance exam from States E and F together in the year 2006?

Discussion

11.	HCF of two consecutive numbers is
Answer» HCF of two consecutive numbers is

Discussion

12.	A fraction with numerator 1 is called
Answer» A fraction with numerator $1$ is called

Discussion

13.	The respective values of x and y in parallelogram shown in the figure are
Answer» The respective values of x and y in parallelogram shown in the figure are

13.

The respective values of x and y in parallelogram shown in the figure are

Answer»

The respective values of x and y in parallelogram shown in the figure are

Discussion

14.	The domain of the function √(log0.5 x) is
Answer» The domain of the function $\sqrt{(l o g_{0.5} x)}$ is

Discussion

15.	In the figure, AC=10 cm, PC=15 cm, AB=8 cm, find PB.
Answer» In the figure, $A C = 10 c m, P C = 15 c m, A B = 8 c m,$ find $P B .$

Discussion

16.	In the given figure, O is the centre of the circle. Find the value of x.
Answer» In the given figure, $O$ is the centre of the circle. Find the value of $x$ .

16.

In the given figure, O is the centre of the circle. Find the value of x.

Answer»

In the given figure, $O$ is the centre of the circle. Find the value of $x$ .

Discussion

17.	Question 56 Fill in the blanks to make the statements true. The diagonals of the quadrilateral DEFG are ___ and ___.
Answer» Question 56 Fill in the blanks to make the statements true. The diagonals of the quadrilateral DEFG are ___ and ___.

Discussion

18.	Draw a triangle with two sides equal to 5 cm and 6 cm and the angle between them is 45∘. Then the circumradius of this triangle measures
Answer» Draw a triangle with two sides equal to 5 cm and 6 cm and the angle between them is 45 $^{\circ}$ . Then the circumradius of this triangle measures

Discussion

19.	X and Y are partners. in a firm sharing profits and losses in 4 : 3 ratio. They admitted Z for 18 share. Z brought Rs. 20,000 for his capital and Rs. 7,000 for his 18 share of goodwill. Subsequently X, Y.and Z decided to show goodwill in their books at Rs. 40,000. Show necessary journal entries in the books of X, Y and Z.
Answer» X and Y are partners. in a firm sharing profits and losses in 4 : 3 ratio. They admitted Z for $\frac{1}{8}$ share. Z brought Rs. 20,000 for his capital and Rs. 7,000 for his $\frac{1}{8}$ share of goodwill. Subsequently X, Y.and Z decided to show goodwill in their books at Rs. 40,000. Show necessary journal entries in the books of X, Y and Z.

Discussion

20.	Simplify 7√13 - 213√13 + 3√147
Answer» Simplify $7 \sqrt{\frac{1}{3}}$ - $2 \frac{1}{3} \sqrt{\frac{1}{3}}$ + $3 \sqrt{147}$

20.

Simplify 7√13 - 213√13 + 3√147

Answer»

Simplify

$7 \sqrt{\frac{1}{3}}$ - $2 \frac{1}{3} \sqrt{\frac{1}{3}}$ + $3 \sqrt{147}$

Discussion

21.	A force F is given by F=at + bt2 , where t is time. What are the dimensions of a and b
Answer» A force F is given by F=at + $b t^{2}$ , where t is time. What are the dimensions of a and b

Discussion

22.	Insert 16 rational numbers between 2.1 and 2.2
Answer» Insert 16 rational numbers between 2.1 and 2.2

Discussion

23.	Find the sum on which the compound interest for 3 years at 10% per annum amounts to Rs. 1,655.
Answer» Find the sum on which the compound interest for 3 years at 10% per annum amounts to Rs. 1,655.

Discussion

24.	Fill in the blank with the correct option. A linear equation in one variable is _________. Fill in the blank with the correct option.
Answer» Fill in the blank with the correct option. A linear equation in one variable is _________. Fill in the blank with the correct option.

Discussion

25.	Two angles of an octagon are 156o and 162o. If the remaining angles are equal in measure, then the measure of each equal angle is
Answer» Two angles of an octagon are 156^o and 162^o. If the remaining angles are equal in measure, then the measure of each equal angle is

Discussion

26.	A, B have position vectors →a,→b relative to the origin O and X, Y divide −−→AB internally and externally respectively in the ratio 2 : 1. Then,−−→XY is equal to
Answer» A, B have position vectors $\to a, \to b$ relative to the origin O and X, Y divide $- - \to A B$ internally and externally respectively in the ratio 2 : 1. Then, $- - \to X Y$ is equal to

Discussion

27.	The sum of a two digit number and the number obtained by reversing the order of its digits is 121 and the two digits differ by 3. Find the number.
Answer» The sum of a two digit number and the number obtained by reversing the order of its digits is 121 and the two digits differ by 3. Find the number.

Discussion

28.	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

29.	What is the distance of the point (6,18) from the X-axis?
Answer» What is the distance of the point (6,18) from the X-axis?

Discussion

30.	△ ABC and parallelogram ABDE have the same base AB and lie between the same parallels. If area of parallelogram ABDE is 90 sq cm, then area of △ ABC =_____ sq cm.
Answer» △ ABC and parallelogram ABDE have the same base AB and lie between the same parallels. If area of parallelogram ABDE is 90 sq cm, then area of △ ABC =_____ sq cm.

Discussion

31.	Define number line.
Answer» Define number line.

Discussion

32.	Chunnu and Munnu went to Ganesh sweets. At the shop, they saw two barfis of different shapes, but, of same ingredients. One of them had a rectangular area of 4cm x 3cm and other a parallelogram, of size 4cm x 3cm. Both the barfis had same price. Chunnu took the rectangular barfi and Munnu took the parallelogram-shaped one. Who has more barfi by area?
Answer» Chunnu and Munnu went to Ganesh sweets. At the shop, they saw two barfis of different shapes, but, of same ingredients. One of them had a rectangular area of 4cm x 3cm and other a parallelogram, of size 4cm x 3cm. Both the barfis had same price. Chunnu took the rectangular barfi and Munnu took the parallelogram-shaped one. Who has more barfi by area?

Discussion

33.	If ΔABC and ΔPQR are two similar triangles shown in the figure. AM and PN are the medians on ΔABC and Δ PQR respectively. Then which of the following statements is true?
Answer» If $Δ$ ABC and $Δ$ PQR are two similar triangles shown in the figure. AM and PN are the medians on $Δ$ ABC and $Δ$ PQR respectively. Then which of the following statements is true?

Discussion

34.	Match the formula of the functional group with the corresponding functional group
Answer» Match the formula of the functional group with the corresponding functional group

Discussion

35.	A straight line divides plane into__parts.
Answer» A straight line divides plane into__parts.

Discussion

36.	What does Mode means?
Answer» What does Mode means?

Discussion

37.	In chords AB and CD intersect at P. Prove that PB.PB= CP. PD
Answer» In chords AB and CD intersect at P. Prove that PB.PB= CP. PD

Discussion

38.	If logxy=200 and log2x=10, then the value ofyis:
Answer» If log $x^{y} = 200 a n d l o g_{2} x = 10$ , then the value ofyis:

Discussion

39.	Find the area of the trapezium ABCD as given in the figure in which ADCE is a rectangle.
Answer» Find the area of the trapezium ABCD as given in the figure in which ADCE is a rectangle.

Discussion

40.	The sum of two angles of a triangle is 116∘ and their difference is24∘, Find the measure of each angle of the triangle.
Answer» $The sum of two angles of a triangle is 116^{\circ} and their difference is 24^{\circ}, Find the measure of each angle of the triangle.$

Discussion

41.	In the given figure, ABCD is a quadrilateral in which AD=BC and ∠ADC=∠BCD. Show that the points A,B,C,D lie on a circle.
Answer» In the given figure, $A B C D$ is a quadrilateral in which $A D = B C$ and $∠ A D C = ∠ B C D$ . Show that the points $A, B, C, D$ lie on a circle.

41.

In the given figure, ABCD is a quadrilateral in which AD=BC and ∠ADC=∠BCD. Show that the points A,B,C,D lie on a circle.

Answer»

In the given figure, $A B C D$ is a quadrilateral in which $A D = B C$ and $∠ A D C = ∠ B C D$ . Show that the points $A, B, C, D$ lie on a circle.

Discussion

42.	A conical pit diameter 3.5 m is 12 m deep. What is its capacity in kilolitres ?
Answer» A conical pit diameter 3.5 m is 12 m deep. What is its capacity in kilolitres ?

Discussion

43.	Factorise: 2x4−32
Answer» Factorise: $2 x^{4} - 32$

Discussion

44.	The height of the bar graph depends on __?
Answer» The height of the bar graph depends on __?

Discussion

45.	The sides of a triangular plot are in the ratio of 3:5:7 and its perimeter is 300 m. Its area is:
Answer» The sides of a triangular plot are in the ratio of 3:5:7 and its perimeter is 300 m. Its area is:

Discussion

46.	Find the value of m for which (2x - 1) is a factor of (8x4+4x3−16x2+10x+m).
Answer» Find the value of m for which (2x - 1) is a factor of $(8 x^{4} + 4 x^{3} - 16 x^{2} + 10 x + m)$ .

Discussion

47.	Which of the following are the solutions for 3x + (-5)y = 15 ?
Answer» Which of the following are the solutions for 3x + (-5)y = 15 ?

Discussion

48.	Question 5 In the figure, if parallelogram ABCD and rectangle ABEM are of equal area, then? A) Perimeter of ABCD = Perimeter of ABEM B) Perimeter of ABCD < Perimeter of ABEM C) Perimeter of ABCD > Perimeter of ABEM D) Perimeter of ABCD = 12(Perimeter of ABEM)
Answer» Question 5 In the figure, if parallelogram ABCD and rectangle ABEM are of equal area, then? A) Perimeter of ABCD = Perimeter of ABEM B) Perimeter of ABCD < Perimeter of ABEM C) Perimeter of ABCD > Perimeter of ABEM D) Perimeter of ABCD = $\frac{1}{2}$ (Perimeter of ABEM)

Discussion

49.	Is it possible to construct a rhombus ABCD with AC = 24cm and BD = 10cm? If yes, find the length of the side of a rhombus.
Answer» Is it possible to construct a rhombus ABCD with AC = 24cm and BD = 10cm? If yes, find the length of the side of a rhombus.

Discussion

50.	What should be the value of x such that △ABC is similar to △AED?8
Answer» What should be the value of x such that △ABC is similar to △AED? 8

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Question 6 A field in the form of a parallelogram has sides 60m and 40m and one of its diagonals is 80m long. Find the area of the parallelogram.

Question 25 In the following question, out of the four options, only one is correct. Write the correct answer. The standard form for 2340000000 is (a) 2.34×108 (b) 0.234×109 (c) 2.34×10−8 (d) 0.234×10−9

How many rational numbers are there between √3 to √7 ?

Activity on How to make square root spiral by not using treacing paper

Find the ordinate of the point whose abscissa is -5 and lies on the x-axis.

Simplify: (a+2b+3c)2 - (a-2b-3c)2 - 6b2 - 9bc

A metal pipe is 77 cm long .the inner diameter of a cross section is 4 cm, the outer diameter being 4.4 cm. find its total surface area.

AB is a diameter of the circle APBR as shown in the figure. APQ and RBQ are straight lines. Find : (i) ∠ PRB, (ii) ∠ PBR, (iii) ∠ BPR.

​​​In a class, 8 students out of 28 have a dog as their pet animal at home ,6 students have a cat as their pet animal .10 students have a dog and cat both, then how many students do not have a dog or cat as their pet animal at home?

HCF of two consecutive numbers is

A fraction with numerator 1 is called

The respective values of x and y in parallelogram shown in the figure are

The domain of the function √(log0.5 x) is

In the figure, AC=10 cm, PC=15 cm, AB=8 cm, find PB.

In the given figure, O is the centre of the circle. Find the value of x.

Question 56 Fill in the blanks to make the statements true. The diagonals of the quadrilateral DEFG are ___ and ___.

Draw a triangle with two sides equal to 5 cm and 6 cm and the angle between them is 45∘. Then the circumradius of this triangle measures

Simplify 7√13 - 213√13 + 3√147

A force F is given by F=at + bt2 , where t is time. What are the dimensions of a and b

Insert 16 rational numbers between 2.1 and 2.2

Find the sum on which the compound interest for 3 years at 10% per annum amounts to Rs. 1,655.

Fill in the blank with the correct option. A linear equation in one variable is _________. Fill in the blank with the correct option.

Two angles of an octagon are 156o and 162o. If the remaining angles are equal in measure, then the measure of each equal angle is

A, B have position vectors →a,→b relative to the origin O and X, Y divide −−→AB internally and externally respectively in the ratio 2 : 1. Then,−−→XY is equal to

The sum of a two digit number and the number obtained by reversing the order of its digits is 121 and the two digits differ by 3. Find the number.

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

What is the distance of the point (6,18) from the X-axis?

△ ABC and parallelogram ABDE have the same base AB and lie between the same parallels. If area of parallelogram ABDE is 90 sq cm, then area of △ ABC =_____ sq cm.

Define number line.

If ΔABC and ΔPQR are two similar triangles shown in the figure. AM and PN are the medians on ΔABC and Δ PQR respectively. Then which of the following statements is true?

Match the formula of the functional group with the corresponding functional group

A straight line divides plane into__parts.

What does Mode means?

In chords AB and CD intersect at P. Prove that PB.PB= CP. PD

If logxy=200 and log2x=10, then the value ofyis:

Find the area of the trapezium ABCD as given in the figure in which ADCE is a rectangle.

The sum of two angles of a triangle is 116∘ and their difference is24∘, Find the measure of each angle of the triangle.

In the given figure, ABCD is a quadrilateral in which AD=BC and ∠ADC=∠BCD. Show that the points A,B,C,D lie on a circle.

A conical pit diameter 3.5 m is 12 m deep. What is its capacity in kilolitres ?

Factorise: 2x4−32

The height of the bar graph depends on __?

The sides of a triangular plot are in the ratio of 3:5:7 and its perimeter is 300 m. Its area is:

Find the value of m for which (2x - 1) is a factor of (8x4+4x3−16x2+10x+m).

Which of the following are the solutions for 3x + (-5)y = 15 ?

Question 5 In the figure, if parallelogram ABCD and rectangle ABEM are of equal area, then? A) Perimeter of ABCD = Perimeter of ABEM B) Perimeter of ABCD &lt; Perimeter of ABEM C) Perimeter of ABCD &gt; Perimeter of ABEM D) Perimeter of ABCD = 12(Perimeter of ABEM)

Is it possible to construct a rhombus ABCD with AC = 24cm and BD = 10cm? If yes, find the length of the side of a rhombus.

What should be the value of x such that △ABC is similar to △AED?8

In a class, 8 students out of 28 have a dog as their pet animal at home ,6 students have a cat as their pet animal .10 students have a dog and cat both, then how many students do not have a dog or cat as their pet animal at home?

Question 56 Fill in the blanks to make the statements true. The diagonals of the quadrilateral DEFG are _ and _.

Question 5 In the figure, if parallelogram ABCD and rectangle ABEM are of equal area, then? A) Perimeter of ABCD = Perimeter of ABEM B) Perimeter of ABCD < Perimeter of ABEM C) Perimeter of ABCD > Perimeter of ABEM D) Perimeter of ABCD = 12(Perimeter of ABEM)