25365 + Interview Questions in Mathematics

1.	PQRS is a parallelogram whose diagonals intersect at M.if ∠PMS=54∘, ∠QSR=25∘ and ∠SQR=30∘ ;find : (i) ∠RPS (ii) ∠PRS (iii) ∠PSR.
Answer» $PQRS is a parallelogram whose diagonals intersect at M. i f ∠ P M S = 54^{\circ}, ∠ Q S R = 25^{\circ} a n d ∠ S Q R = 30^{\circ}; f i n d : (i) ∠ R P S (i i) ∠ P R S (i i i) ∠ P S R .$

Discussion

2.	In the figure, a regular octagon and a regular pentagon are put together. The measure of ∠ABC is
Answer» In the figure, a regular octagon and a regular pentagon are put together. The measure of $∠ A B C$ is

2.

In the figure, a regular octagon and a regular pentagon are put together. The measure of ∠ABC is

Answer»

In the figure, a regular octagon and a regular pentagon are put together. The measure of $∠ A B C$ is

Discussion

3.	Question 127The product of two rational numbers is −1427. If one of the numbers be 79, find the other.
Answer» Question 127 The product of two rational numbers is $\frac{- 14}{27}$ . If one of the numbers be $\frac{7}{9}$ , find the other.

Discussion

4.	Below is the histogram depicting marks obtained by 43 students of a class. What is the class size?
Answer» Below is the histogram depicting marks obtained by 43 students of a class. What is the class size?

Discussion

5.	A graph showing two sets of data simultaneously (using bars) is known as ______.
Answer» A graph showing two sets of data simultaneously (using bars) is known as ______.

Discussion

6.	What is the cube root of 729?
Answer» What is the cube root of 729?

Discussion

7.	Read the bar graph which shows the number of books sold by a bookstore during five consecutive years and answer the following questions:About how many books were sold in 1989? 1990? 1992?
Answer» Read the bar graph which shows the number of books sold by a bookstore during five consecutive years and answer the following questions: About how many books were sold in 1989? 1990? 1992?

Discussion

8.	In the given figure,, BC is a diameter of circle and ∠BAO = 60∘ . Then, ∠ADC = __________.
Answer» In the given figure,, BC is a diameter of circle and ∠BAO = 60∘ . Then, ∠ADC = __________.

Discussion

9.	The sides of a triangular plot are in the ratio of 16: 8: 10 and its perimeter is 340 m. Its area in m2 is 100√A. The value of A is ___
Answer» The sides of a triangular plot are in the ratio of 16: 8: 10 and its perimeter is 340 m. Its area in $m^{2}$ is $100 \sqrt{A}$ . The value of A is ___

Discussion

10.	Three consecutive integers add up to 51 find the integers
Answer» Three consecutive integers add up to 51 find the integers

Discussion

11.	The value of (2.3)3 -0.027/(2.3)2 +0.69 + (0.3)2
Answer» The value of (2.3)³ -0.027/(2.3)² +0.69 + (0.3)²

11.

The value of (2.3)3 -0.027/(2.3)2 +0.69 + (0.3)2

Answer»

The value of (2.3)³ -0.027/(2.3)²

+0.69 + (0.3)²

Discussion

12.	Find the square root of 12.0068 correct to four decimal places.
Answer» Find the square root of 12.0068 correct to four decimal places.

Discussion

13.	Question 36 In the following question, fill in the blanks to make the statements true. 50 = .
Answer» Question 36 In the following question, fill in the blanks to make the statements true. $5^{0}$ = .

13.

Question 36 In the following question, fill in the blanks to make the statements true. 50 = .

Answer»

Question 36

In the following question, fill in the blanks to make the statements true.

$5^{0}$ = .

Discussion

14.	Question 7 3(t−3)=5(2t+1)
Answer» Question 7 $3 (t - 3) = 5 (2 t + 1)$

Discussion

15.	Two interior angles in a triangle are 35° and 40°. Find its corresponding exterior angle.
Answer» Two interior angles in a triangle are 35° and 40°. Find its corresponding exterior angle.

Discussion

16.	In the given figure, AB = AC and D is the midpoint of BC(i) State the three pairs of equal parts in ΔADB and ΔADC.(ii) Is ΔADB ≅ ΔADC? Give reasons.(iii) Is ∠B = ∠C? Why?
Answer» In the given figure, AB = AC and D is the midpoint of BC (i) State the three pairs of equal parts in ΔADB and ΔADC. (ii) Is ΔADB $≅$ ΔADC? Give reasons. (iii) Is ∠B = ∠C? Why?

Discussion

17.	The ratio in which the point (-4, 6) divides the line segment joining the points A(-6, 10) and B(-3, -8) is
Answer» The ratio in which the point (-4, 6) divides the line segment joining the points A(-6, 10) and B(-3, -8) is

Discussion

18.	Question 82x3+1=7x15+3
Answer» Question 8 $\frac{2 x}{3} + 1 = \frac{7 x}{15} + 3$

Discussion

19.	A rectangular vessel 22 cm by 16 cm by 14 cm is full of water. If the total water is poured into an empty cylindrical vessel of radius 8 cm, find the height of water In the cylindrical vessel.
Answer» A rectangular vessel 22 cm by 16 cm by 14 cm is full of water. If the total water is poured into an empty cylindrical vessel of radius 8 cm, find the height of water In the cylindrical vessel.

Discussion

20.	What is the exact meaning of the term probability density ?
Answer» What is the exact meaning of the term probability density ?

Discussion

21.	Consider the equation 2x+9=13. What would the equation be after transposing 9 to the RHS?
Answer» Consider the equation $2 x + 9 = 13$ . What would the equation be after transposing 9 to the RHS?

Discussion

22.	13. A number x is chosen at random from the numbers -4, -3, -2, -1, 0, 1, 2, 3, 4. What is the probability that \|x\|
Answer» 13. A number x is chosen at random from the numbers -4, -3, -2, -1, 0, 1, 2, 3, 4. What is the probability that \|x\|<2? *

Discussion

23.	Factorise: a2−b2−(a+b)2
Answer» Factorise: $a^{2} - b^{2} - (a + b)^{2}$

23.

Factorise: a2−b2−(a+b)2

Answer»

Factorise:

$a^{2} - b^{2} - (a + b)^{2}$

Discussion

24.	Can you please tell me how to attend my maths paper? it is going to be held on 28 of March. how can I finish it in on time ,before half an hour?
Answer» Can you please tell me how to attend my maths paper? it is going to be held on 28 of March. how can I finish it in on time ,before half an hour?

Discussion

25.	A student measured the diameter of a small steel ball using a screw gauge of least count 0.001 cm. The main scale reading is 5 mm and zero of circular scale division coincides with 25 divisions above the reference level. If screw gauge has a zero error of –0.004 cm, the correct diameter of the ball is
Answer» A student measured the diameter of a small steel ball using a screw gauge of least count $0.001 c m$ . The main scale reading is $5 m m$ and zero of circular scale division coincides with $25$ divisions above the reference level. If screw gauge has a zero error of $- 0.004 c m$ , the correct diameter of the ball is

Discussion

26.	Let X denotes the sum of the numbers obtained when two fair dice are rolled. Then the standard deviation of X is:
Answer» Let $X$ denotes the sum of the numbers obtained when two fair dice are rolled. Then the standard deviation of $X$ is:

Discussion

27.	Question 67 (vii) Look at the shape given below and state if it is a polyhedron using Euler's formula.
Answer» Question 67 (vii) Look at the shape given below and state if it is a polyhedron using Euler's formula.

Discussion

28.	Find the total surface area of a cuboid whose length, breadth, and height are 7.5 m, 3 m, and 5 m, respectively.
Answer» Find the total surface area of a cuboid whose length, breadth, and height are 7.5 m, 3 m, and 5 m, respectively.

Discussion

29.	Write the generalised form of 85.
Answer» Write the generalised form of 85.

Discussion

30.	A taxi charges a fare of Rs 2550 for a journey of 150 km. How much would it charge for a journey of 124 km?
Answer» A taxi charges a fare of Rs 2550 for a journey of 150 km. How much would it charge for a journey of 124 km?

Discussion

31.	the sum of two rational numbers is -8 if one of them is5/9,find the other
Answer» the sum of two rational numbers is -8 if one of them is5/9,find the other

Discussion

32.	Construct a triangle ABC, whose perimeter is 13 cm and whose sides are in the ratio 3:4:5.
Answer» Construct a triangle ABC, whose perimeter is 13 cm and whose sides are in the ratio 3:4:5.

Discussion

33.	a3- 8b3-64c3- 24abc - factorise
Answer» a3- 8b3-64c3- 24abc - factorise

Discussion

34.	Question 52(ii)The graph given below gives the actual and expected sales of cars of the company for 6 months. Study the graph and answer the questions that follow.For which month(s) was (were) the difference in actual and expected sales the maximum?
Answer» Question 52(ii) The graph given below gives the actual and expected sales of cars of the company for 6 months. Study the graph and answer the questions that follow. For which month(s) was (were) the difference in actual and expected sales the maximum?

Discussion

35.	If the number 5467M49 is divisible by 9, the digit at M is:
Answer» If the number $5467 M 49$ is divisible by $9$ , the digit at $M$ is:

Discussion

36.	If each side of a square is doubled, the factor by which area of the square will change is______times.
Answer» If each side of a square is doubled, the factor by which area of the square will change is______times.

Discussion

37.	What do you get when you subtract −3xy from 5xy?
Answer» What do you get when you subtract $- 3 x y$ from $5 x y$ ?

Discussion

38.	Given the universal set = {−7,−3,−1,0,5,6,8,9},B={x:−4<x<6} then B′ is
Answer» Given the universal set = ${- 7, - 3, - 1, 0, 5, 6, 8, 9}, B = {x : - 4 < x < 6}$ then $B^{'}$ is

Discussion

39.	Two adjacent angles of a parallelogram are as 1:2 Find the measure of all the angles of the parallelogram.
Answer» Two adjacent angles of a parallelogram are as 1:2 Find the measure of all the angles of the parallelogram.

Discussion

40.	Which among the following is a prime triplet?
Answer» Which among the following is a prime triplet?

Discussion

41.	n2+2n2-5n-6 where n is any positive integer is always divisible by which number
Answer» n2+2n2-5n-6 where n is any positive integer is always divisible by which number

Discussion

42.	find the units digit in (8^74-5^63)
Answer» find the units digit in (8^74-5^63)

Discussion

43.	The reciprocal of 10 is __
Answer» The reciprocal of 10 is __

Discussion

44.	The altitude of a parallelogram responding to a base of length 15 CM is 18CM. The area of parallelogram
Answer» The altitude of a parallelogram responding to a base of length 15 CM is 18CM. The area of parallelogram

Discussion

45.	Ronith is now 20 yrs old and Isha is 4yrs old. In how many yrs will Ronith be twice as old as Isha?????
Answer» Ronith is now 20 yrs old and Isha is 4yrs old. In how many yrs will Ronith be twice as old as Isha?????

Discussion

46.	For the following figures find whether the brick pattern is symmetric or asymmetric if symmetric, draw the line(s) of symmetry on them.(i) (ii)(iii)(iv)
Answer» For the following figures find whether the brick pattern is symmetric or asymmetric if symmetric, draw the line(s) of symmetry on them. (i) (ii) (iii) (iv)

Discussion

47.	28. Construct a trapezium ABCD, when: AB =4.8cm, BC =6.8cm, CD =5.4cm, angle B=60 ^° and AD //BC.
Answer» 28. Construct a trapezium ABCD, when: AB =4.8cm, BC =6.8cm, CD =5.4cm, angle B=60 ^° and AD //BC.

Discussion

48.	The value of (998)2 is equal to:
Answer» The value of $(998)^{2}$ is equal to:

Discussion

49.	Question 4Parikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many such cuboids will he need to form a cube?
Answer» Question 4 Parikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many such cuboids will he need to form a cube?

Discussion

50.	Question 58State whether the following statement is true or false:The square of every natural number is always greater than the number itself.
Answer» Question 58 State whether the following statement is true or false: The square of every natural number is always greater than the number itself.

50.

Question 58State whether the following statement is true or false:The square of every natural number is always greater than the number itself.

Answer»

Question 58

State whether the following statement is true or false:

The square of every natural number is always greater than the number itself.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

PQRS is a parallelogram whose diagonals intersect at M.if ∠PMS=54∘, ∠QSR=25∘ and ∠SQR=30∘ ;find : (i) ∠RPS (ii) ∠PRS (iii) ∠PSR.

In the figure, a regular octagon and a regular pentagon are put together. The measure of ∠ABC is

Question 127The product of two rational numbers is −1427. If one of the numbers be 79, find the other.

Below is the histogram depicting marks obtained by 43 students of a class. What is the class size?

A graph showing two sets of data simultaneously (using bars) is known as ______.

What is the cube root of 729?

Read the bar graph which shows the number of books sold by a bookstore during five consecutive years and answer the following questions:About how many books were sold in 1989? 1990? 1992?

In the given figure,, BC is a diameter of circle and ∠BAO = 60∘ . Then, ∠ADC = __________.

The sides of a triangular plot are in the ratio of 16: 8: 10 and its perimeter is 340 m. Its area in m2 is 100√A. The value of A is ___

Three consecutive integers add up to 51 find the integers

The value of (2.3)3 -0.027/(2.3)2 ​​​​​ +0.69 + (0.3)2

Find the square root of 12.0068 correct to four decimal places.

Question 36 In the following question, fill in the blanks to make the statements true. 50 = .

Question 7 3(t−3)=5(2t+1)

Two interior angles in a triangle are 35° and 40°. Find its corresponding exterior angle.

In the given figure, AB = AC and D is the midpoint of BC(i) State the three pairs of equal parts in ΔADB and ΔADC.(ii) Is ΔADB ≅ ΔADC? Give reasons.(iii) Is ∠B = ∠C? Why?

The ratio in which the point (-4, 6) divides the line segment joining the points A(-6, 10) and B(-3, -8) is

Question 82x3+1=7x15+3

A rectangular vessel 22 cm by 16 cm by 14 cm is full of water. If the total water is poured into an empty cylindrical vessel of radius 8 cm, find the height of water In the cylindrical vessel.

What is the exact meaning of the term probability density ?

Consider the equation 2x+9=13. What would the equation be after transposing 9 to the RHS?

13. A number x is chosen at random from the numbers -4, -3, -2, -1, 0, 1, 2, 3, 4. What is the probability that |x|

Factorise: a2−b2−(a+b)2

Can you please tell me how to attend my maths paper? it is going to be held on 28 of March. how can I finish it in on time ,before half an hour?

Let X denotes the sum of the numbers obtained when two fair dice are rolled. Then the standard deviation of X is:

Question 67 (vii) Look at the shape given below and state if it is a polyhedron using Euler's formula. ​​​​​​​

Find the total surface area of a cuboid whose length, breadth, and height are 7.5 m, 3 m, and 5 m, respectively.

Write the generalised form of 85.

A taxi charges a fare of Rs 2550 for a journey of 150 km. How much would it charge for a journey of 124 km?

the sum of two rational numbers is -8 if one of them is5/9,find the other

Construct a triangle ABC, whose perimeter is 13 cm and whose sides are in the ratio 3:4:5.

a3- 8b3-64c3- 24abc - factorise

Question 52(ii)The graph given below gives the actual and expected sales of cars of the company for 6 months. Study the graph and answer the questions that follow.For which month(s) was (were) the difference in actual and expected sales the maximum?

If the number 5467M49 is divisible by 9, the digit at M is:

If each side of a square is doubled, the factor by which area of the square will change is______times.

What do you get when you subtract −3xy from 5xy?

Given the universal set = {−7,−3,−1,0,5,6,8,9},B={x:−4&lt;x&lt;6} then B′ is

Two adjacent angles of a parallelogram are as 1:2 Find the measure of all the angles of the parallelogram.

Which among the following is a prime triplet?

n2+2n2-5n-6 where n is any positive integer is always divisible by which number

find the units digit in (8^74-5^63)

The reciprocal of 10 is __

The altitude of a parallelogram responding to a base of length 15 CM is 18CM. The area of parallelogram

Ronith is now 20 yrs old and Isha is 4yrs old. In how many yrs will Ronith be twice as old as Isha?????

For the following figures find whether the brick pattern is symmetric or asymmetric if symmetric, draw the line(s) of symmetry on them.(i) (ii)(iii)(iv)

28. Construct a trapezium ABCD, when: AB =4.8cm, BC =6.8cm, CD =5.4cm, angle B=60 ^° and AD //BC.

The value of (998)2 is equal to:

Question 4Parikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many such cuboids will he need to form a cube?

Question 58State whether the following statement is true or false:The square of every natural number is always greater than the number itself.

The value of (2.3)3 -0.027/(2.3)2 +0.69 + (0.3)2

Question 67 (vii) Look at the shape given below and state if it is a polyhedron using Euler's formula.

Given the universal set = {−7,−3,−1,0,5,6,8,9},B={x:−4<x<6} then B′ is