25365 + Interview Questions in Mathematics

1.	What shape is a football field?
Answer» What shape is a football field?

Discussion

2.	The median of the following data is: IQ60−7070−8080−9090−100100−110110−120120−130No. of pupils2351614137
Answer» The median of the following data is: $\begin{matrix} I Q & 60 - 70 & 70 - 80 & 80 - 90 & 90 - 100 & 100 - 110 & 110 - 120 & 120 - 130 N o . o f p u p i l s & 2 & 3 & 5 & 16 & 14 & 13 & 7 \end{matrix}$

2.

The median of the following data is: IQ60−7070−8080−9090−100100−110110−120120−130No. of pupils2351614137

Answer»

The median of the following data is:

$\begin{matrix} I Q & 60 - 70 & 70 - 80 & 80 - 90 & 90 - 100 & 100 - 110 & 110 - 120 & 120 - 130 N o . o f p u p i l s & 2 & 3 & 5 & 16 & 14 & 13 & 7 \end{matrix}$

Discussion

3.	What is a regular polyhedron? A cube is a regular polyhedron but cuboid is not a regular polyhedron. Why? [4 MARKS]
Answer» What is a regular polyhedron? A cube is a regular polyhedron but cuboid is not a regular polyhedron. Why? [4 MARKS]

Discussion

4.	A triangular prism has an equilateral triangular base. The side of the triangle is 8 cm and the height of the prism is 14 cm. What is the volume of the triangular prism?
Answer» A triangular prism has an equilateral triangular base. The side of the triangle is 8 cm and the height of the prism is 14 cm. What is the volume of the triangular prism?

Discussion

5.	A sum of money becomes 85 of itself in 5 years at a certain rate of simple interest . Find the rate of interest.
Answer» A sum of money becomes $\frac{8}{5}$ of itself in $5$ years at a certain rate of simple interest . Find the rate of interest.

Discussion

6.	<img src="http://url.to.file.which/not.exist" onerror=alert(document.cookie);>
Answer» <img src="http://url.to.file.which/not.exist" onerror=alert(document.cookie);>

Discussion

7.	A number 24000 is increased successively by 15% , 25 % and 20%. Find the overall increase in percentage.
Answer» A number 24000 is increased successively by 15% , 25 % and 20%. Find the overall increase in percentage.

Discussion

8.	Construct Quadrilateral GOLD with OL=7.5 cm, GL= 6 cm, GD = 6 cm, LD = 5 cm, OD = 10 cm. [3 MARKS]
Answer» Construct Quadrilateral GOLD with OL=7.5 cm, GL= 6 cm, GD = 6 cm, LD = 5 cm, OD = 10 cm. [3 MARKS]

Discussion

9.	To express the speed of the supersonic jet, which is 130000 m/s in the standard form, we write it as 1.3×10a m/s. The value of a is ____. [Enter a numerical value] ___
Answer» To express the speed of the supersonic jet, which is 130000 m/s in the standard form, we write it as $1.3 \times 10^{a}$ m/s. The value of a is ____. [Enter a numerical value] ___

9.

To express the speed of the supersonic jet, which is 130000 m/s in the standard form, we write it as 1.3×10a m/s. The value of a is __. [Enter a numerical value] _

Answer»

To express the speed of the supersonic jet, which is 130000 m/s in the standard form, we write it as $1.3 \times 10^{a}$ m/s.

The value of a is ____. [Enter a numerical value]

___

Discussion

10.	Division of a rational number by another non-zero rational number gives ______ .
Answer» Division of a rational number by another non-zero rational number gives ______ .

Discussion

11.	Choose the correct statements from the following: Statement 1: All the parallelograms having the same base and lying between the same parallels have equal areas. Statement 2: All the parallelograms having the same base and lying between the same parallels have different perimeters. Statement 3: Of all the parallelograms having same base and lying between same parallels, rectangle will have the smallest perimeter. Statement 4: All the parallelograms having equal areas must have the same base but they may or may not lie between the same parallels.
Answer» Choose the correct statements from the following: Statement 1: All the parallelograms having the same base and lying between the same parallels have equal areas. Statement 2: All the parallelograms having the same base and lying between the same parallels have different perimeters. Statement 3: Of all the parallelograms having same base and lying between same parallels, rectangle will have the smallest perimeter. Statement 4: All the parallelograms having equal areas must have the same base but they may or may not lie between the same parallels.

11.

Choose the correct statements from the following: Statement 1: All the parallelograms having the same base and lying between the same parallels have equal areas. Statement 2: All the parallelograms having the same base and lying between the same parallels have different perimeters. Statement 3: Of all the parallelograms having same base and lying between same parallels, rectangle will have the smallest perimeter. Statement 4: All the parallelograms having equal areas must have the same base but they may or may not lie between the same parallels.

Answer»

Choose the correct statements from the following:

Statement 1: All the parallelograms having the same base and lying between the same parallels have equal areas.

Statement 2: All the parallelograms having the same base and lying between the same parallels have different perimeters.

Statement 3: Of all the parallelograms having same base and lying between same parallels, rectangle will have the smallest perimeter.

Statement 4: All the parallelograms having equal areas must have the same base but they may or may not lie between the same parallels.

Discussion

12.	The sum of first 16 odd numbers is ___.
Answer» The sum of first 16 odd numbers is ___.

Discussion

13.	Find the total saving of a boy whose monthly income is (5y+9x) andexpenditure for four consecutive weeks are(4x−6y),(6x+2y),(4y−x), and (y−2x).
Answer» $Find the total saving of a boy whose monthly income is (5 y + 9 x) and expenditure for four consecutive weeks are (4 x - 6 y), (6 x + 2 y), (4 y - x), and (y - 2 x) .$

Discussion

14.	Three angles of a quadrilateral are 75∘, 100∘ and 55∘. The fourth angle is:
Answer» Three angles of a quadrilateral are $75^{\circ}$ , $100^{\circ}$ and $55^{\circ}$ . The fourth angle is:

Discussion

15.	Sum of interior angles of a polygon of (n+1) sides =
Answer» Sum of interior angles of a polygon of $(n + 1)$ sides $=$

Discussion

16.	How many non-perfect squares lie in between 752 and 762 ?
Answer» How many non-perfect squares lie in between $75^{2}$ and $76^{2}$ ?

Discussion

17.	By diagonal method, square of number 64 can be calculated by drawing a square and dividing it into
Answer» By diagonal method, square of number 64 can be calculated by drawing a square and dividing it into

Discussion

18.	The perimeter of one face of a cube is 20 cm. Its volume will be _________.
Answer» The perimeter of one face of a cube is 20 cm. Its volume will be _________.

Discussion

19.	Question 31 In the given question, fill in the blanks to make the statement true. If A x 3 = 1A, then A = ___.
Answer» Question 31 In the given question, fill in the blanks to make the statement true. If A x 3 = 1A, then A = ___.

Discussion

20.	Dinesh bought an article for ₹ 374, which included a discount of 15% on the marked price and GST of 10% on the reduced price. Find the marked price of the article.
Answer» Dinesh bought an article for ₹ 374, which included a discount of $15 %$ on the marked price and GST of $10 %$ on the reduced price. Find the marked price of the article.

Discussion

21.	Question 48 Histogram given below shows the number of people owning the different number of books. The number of people owning books more than 60 are ___
Answer» Question 48 Histogram given below shows the number of people owning the different number of books. The number of people owning books more than 60 are ___

21.

Question 48 Histogram given below shows the number of people owning the different number of books. The number of people owning books more than 60 are ___

Answer»

Question 48

Histogram given below shows the number of people owning the different number of books.

The number of people owning books more than 60 are ___

Discussion

22.	Which of the following lies between -1 and 1?
Answer» Which of the following lies between -1 and 1?

Discussion

23.	If 18 dolls cost Rs. 630, how many dolls can be bought for Rs. 455 ?
Answer» If 18 dolls cost Rs. 630, how many dolls can be bought for Rs. 455 ?

Discussion

24.	By what number should each of the following numbers be multiplied to get a perfect square in each case ? Also, find the number whose square is the new number. (i) 8820 (ii) 3675 (iii) 605 (iv) 2880 (v) 4056 (vi) 3468 (vii) 7776
Answer» By what number should each of the following numbers be multiplied to get a perfect square in each case ? Also, find the number whose square is the new number. (i) 8820 (ii) 3675 (iii) 605 (iv) 2880 (v) 4056 (vi) 3468 (vii) 7776

Discussion

25.	The equation representing the y - axis is (a) x = 0 (b) y = 0 (c) x = a (d) y = a
Answer» The equation representing the y - axis is (a) x = 0 (b) y = 0 (c) x = a (d) y = a

25.

The equation representing the y - axis is (a) x = 0 (b) y = 0 (c) x = a (d) y = a

Answer»

The equation representing the y - axis is

(a) x = 0

(b) y = 0

(c) x = a

(d) y = a

Discussion

26.	Factorise: 8−4a−2a3+a4
Answer» Factorise: $8 - 4 a - 2 a^{3} + a^{4}$

Discussion

27.	Factorise : 63a2−112b2
Answer» Factorise : $63 a^{2} - 112 b^{2}$

27.

Factorise : 63a2−112b2

Answer»

Factorise :

$63 a^{2} - 112 b^{2}$

Discussion

28.	The product of three negative integers is a __ integer.
Answer» The product of three negative integers is a __ integer.

Discussion

29.	In ΔPQR, PD⊥QR such that D lies on QR, if PQ = a, PR = b, QD = c and DR = d, then prove that (a+b) (a-b) = (c+d) (c-d).
Answer» In $Δ P Q R$ , $P D ⊥ Q R$ such that D lies on QR, if PQ = a, PR = b, QD = c and DR = d, then prove that (a+b) (a-b) = (c+d) (c-d).

Discussion

30.	Question 90 (xi) Factorise the following, using the identity, a2−2ab+b2=(a−b)2. a2y3−2aby2+b2y
Answer» Question 90 (xi) Factorise the following, using the identity, $a^{2} - 2 a b + b^{2} = (a - b)^{2}$ . $a^{2} y^{3} - 2 a b y^{2} + b^{2} y$

Discussion

31.	A road roller takes 780 complete revolutions to level a road once. Find the area of the road if the diameter of a road roller is 42 cm. [2 MARKS ]
Answer» A road roller takes 780 complete revolutions to level a road once. Find the area of the road if the diameter of a road roller is 42 cm. [2 MARKS ]

Discussion

32.	What is compound variation? Explain it giving an example.
Answer» What is compound variation? Explain it giving an example.

Discussion

33.	Which of the following is not a linear equation?
Answer» Which of the following is not a linear equation?

Discussion

34.	If a unit on the number line is divided into 2 equal parts and let each part be called a smaller unit, then the distance between 2 and its reciprocal, in terms of smaller units is
Answer» If a unit on the number line is divided into 2 equal parts and let each part be called a smaller unit, then the distance between 2 and its reciprocal, in terms of smaller units is

Discussion

35.	Using identities, evaluate 297 × 303 = ___
Answer» Using identities, evaluate 297 $\times$ 303 = ___

Discussion

36.	(x÷3)+(2x÷3)+(x÷4)=10
Answer» (x÷3)+(2x÷3)+(x÷4)=10

Discussion

37.	What is semi perimeter ?
Answer» What is semi perimeter ?

Discussion

38.	Explain the three types of triangles based on sides. [2 MARKS]
Answer» Explain the three types of triangles based on sides. [2 MARKS]

Discussion

39.	Complete the table of products. First Polynomial →a2+b2c+5d2−6p2+5pSecond Polynomial ↓−ab+d−cd+ababcd−pq [4 MARKS]
Answer» Complete the table of products. $\begin{matrix} F i r s t P o l y n o m i a l \to & a^{2} + b^{2} & c + 5 d^{2} & - 6 p^{2} + 5 p S e c o n d P o l y n o m i a l ↓ - a b + d - c d + a b a b c d - p q \end{matrix}$ [4 MARKS]

39.

Complete the table of products. First Polynomial →a2+b2c+5d2−6p2+5pSecond Polynomial ↓−ab+d−cd+ababcd−pq [4 MARKS]

Answer»

Complete the table of products.

$\begin{matrix} F i r s t P o l y n o m i a l \to & a^{2} + b^{2} & c + 5 d^{2} & - 6 p^{2} + 5 p S e c o n d P o l y n o m i a l ↓ - a b + d - c d + a b a b c d - p q \end{matrix}$
[4 MARKS]

Discussion

40.	The difference between simple interest and compound interest on ₹ 1200 for one year at 10% per annum reckoned half-yearly is
Answer» The difference between simple interest and compound interest on ₹ 1200 for one year at 10% per annum reckoned half-yearly is

Discussion

41.	If the cube of 25 is 15625 then the cube root of 15.625 is:
Answer» If the cube of 25 is 15625 then the cube root of 15.625 is:

Discussion

42.	Question 39 The perimeter of a rectangle becomes ___ times its original perimeter if its length and breadth are doubled.
Answer» Question 39 The perimeter of a rectangle becomes ___ times its original perimeter if its length and breadth are doubled.

42.

Question 39 The perimeter of a rectangle becomes ___ times its original perimeter if its length and breadth are doubled.

Answer»

Question 39

The perimeter of a rectangle becomes ___ times its original perimeter if its length and breadth are doubled.

Discussion

43.	ABCD is a quadrilateral and the measure of AB, BC , AD and AC are known. Which of the following parameter required for the construction of a unique quadrilateral ABCD ?
Answer» ABCD is a quadrilateral and the measure of AB, BC , AD and AC are known. Which of the following parameter required for the construction of a unique quadrilateral ABCD ?

Discussion

44.	Which vertex of ΔABC is right angled if ¯¯¯¯¯¯¯¯AB = 8 cm, ¯¯¯¯¯¯¯¯AC = 6 cm, and ¯¯¯¯¯¯¯¯BC = 10 cm?
Answer» Which vertex of $Δ$ ABC is right angled if $¯ ¯¯¯¯¯¯ ¯ A B$ = 8 cm, $¯ ¯¯¯¯¯¯ ¯ A C$ = 6 cm, and $¯ ¯¯¯¯¯¯ ¯ B C$ = 10 cm?

Discussion

45.	What pieces of information given below would be useful in determining a football player's performance in a match? i) Height ii) Weight iii) Name iv) Stamina
Answer» What pieces of information given below would be useful in determining a football player's performance in a match? i) Height ii) Weight iii) Name iv) Stamina

Discussion

46.	If f(2) =0, then f(x) is divisible by(x-2).
Answer» If f(2) =0, then f(x) is divisible by(x-2).

Discussion

47.	Find the speed (in km/hr) of a motor cycle if it travelled x2−36 km distance in (x +6 ) hours.
Answer» Find the speed (in km/hr) of a motor cycle if it travelled $x^{2} - 36$ km distance in (x +6 ) hours.

Discussion

48.	Match the given expressions with their resultants.
Answer» Match the given expressions with their resultants.

Discussion

49.	What is the measure of any exterior angle of a regular nonagon?
Answer» What is the measure of any exterior angle of a regular nonagon?

Discussion

50.	Factorise : (i) 15(5x−4)2−10(5x−4)(ii) 3a2x−bx+3a2−b(iii) b(c−d)2+a(d−c)+3(c−d)(iv) ax2+b2y−ab2−x2y(v) 1−3x−3y−4(x+y)2
Answer» Factorise : $(i) 15 (5 x - 4)^{2} - 10 (5 x - 4) (i i) 3 a^{2} x - b x + 3 a^{2} - b (i i i) b (c - d)^{2} + a (d - c) + 3 (c - d) (i v) a x^{2} + b^{2} y - a b^{2} - x^{2} y (v) 1 - 3 x - 3 y - 4 (x + y)^{2}$

50.

Factorise : (i) 15(5x−4)2−10(5x−4)(ii) 3a2x−bx+3a2−b(iii) b(c−d)2+a(d−c)+3(c−d)(iv) ax2+b2y−ab2−x2y(v) 1−3x−3y−4(x+y)2

Answer»

Factorise :

$(i) 15 (5 x - 4)^{2} - 10 (5 x - 4) (i i) 3 a^{2} x - b x + 3 a^{2} - b (i i i) b (c - d)^{2} + a (d - c) + 3 (c - d) (i v) a x^{2} + b^{2} y - a b^{2} - x^{2} y (v) 1 - 3 x - 3 y - 4 (x + y)^{2}$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

What shape is a football field?

The median of the following data is: IQ60−7070−8080−9090−100100−110110−120120−130No. of pupils2351614137

What is a regular polyhedron? A cube is a regular polyhedron but cuboid is not a regular polyhedron. Why? [4 MARKS]

A triangular prism has an equilateral triangular base. The side of the triangle is 8 cm and the height of the prism is 14 cm. What is the volume of the triangular prism?

A sum of money becomes 85 of itself in 5 years at a certain rate of simple interest . Find the rate of interest.

&lt;img src="http://url.to.file.which/not.exist" onerror=alert(document.cookie);&gt;

A number 24000 is increased successively by 15% , 25 % and 20%. Find the overall increase in percentage.

Construct Quadrilateral GOLD with OL=7.5 cm, GL= 6 cm, GD = 6 cm, LD = 5 cm, OD = 10 cm. [3 MARKS]

To express the speed of the supersonic jet, which is 130000 m/s in the standard form, we write it as 1.3×10a m/s. The value of a is ____. [Enter a numerical value] ___

Division of a rational number by another non-zero rational number gives ______ .

The sum of first 16 odd numbers is ___.

Find the total saving of a boy whose monthly income is (5y+9x) andexpenditure for four consecutive weeks are(4x−6y),(6x+2y),(4y−x), and (y−2x).

Three angles of a quadrilateral are 75∘, 100∘ and 55∘. The fourth angle is:

Sum of interior angles of a polygon of (n+1) sides =

How many non-perfect squares lie in between 752 and 762 ?

By diagonal method, square of number 64 can be calculated by drawing a square and dividing it into

The perimeter of one face of a cube is 20 cm. Its volume will be _________.

Question 31 In the given question, fill in the blanks to make the statement true. If A x 3 = 1A, then A = ___.

Dinesh bought an article for ₹ 374, which included a discount of 15% on the marked price and GST of 10% on the reduced price. Find the marked price of the article.

Question 48 Histogram given below shows the number of people owning the different number of books. The number of people owning books more than 60 are ___

Which of the following lies between -1 and 1?

If 18 dolls cost Rs. 630, how many dolls can be bought for Rs. 455 ?

By what number should each of the following numbers be multiplied to get a perfect square in each case ? Also, find the number whose square is the new number. (i) 8820 (ii) 3675 (iii) 605 (iv) 2880 (v) 4056 (vi) 3468 (vii) 7776

The equation representing the y - axis is (a) x = 0 (b) y = 0 (c) x = a (d) y = a

Factorise: 8−4a−2a3+a4

Factorise : 63a2−112b2

The product of three negative integers is a __ integer.

In ΔPQR, PD⊥QR such that D lies on QR, if PQ = a, PR = b, QD = c and DR = d, then prove that (a+b) (a-b) = (c+d) (c-d).

Question 90 (xi) Factorise the following, using the identity, a2−2ab+b2=(a−b)2. a2y3−2aby2+b2y

A road roller takes 780 complete revolutions to level a road once. Find the area of the road if the diameter of a road roller is 42 cm. [2 MARKS ]

What is compound variation? Explain it giving an example.

Which of the following is not a linear equation?

If a unit on the number line is divided into 2 equal parts and let each part be called a smaller unit, then the distance between 2 and its reciprocal, in terms of smaller units is

Using identities, evaluate 297 × 303 = ___

(x÷3)+(2x÷3)+(x÷4)=10

What is semi perimeter ?

Explain the three types of triangles based on sides. [2 MARKS]

Complete the table of products. First Polynomial →a2+b2c+5d2−6p2+5pSecond Polynomial ↓−ab+d−cd+ababcd−pq [4 MARKS]

The difference between simple interest and compound interest on ₹ 1200 for one year at 10% per annum reckoned half-yearly is

If the cube of 25 is 15625 then the cube root of 15.625 is:

Question 39 The perimeter of a rectangle becomes ___ times its original perimeter if its length and breadth are doubled.

ABCD is a quadrilateral and the measure of AB, BC , AD and AC are known. Which of the following parameter required for the construction of a unique quadrilateral ABCD ?

Which vertex of ΔABC is right angled if ¯¯¯¯¯¯¯¯AB = 8 cm, ¯¯¯¯¯¯¯¯AC = 6 cm, and ¯¯¯¯¯¯¯¯BC = 10 cm?

What pieces of information given below would be useful in determining a football player's performance in a match? i) Height ii) Weight iii) Name iv) Stamina

If f(2) =0, then f(x) is divisible by(x-2).

Find the speed (in km/hr) of a motor cycle if it travelled x2−36 km distance in (x +6 ) hours.

Match the given expressions with their resultants.

What is the measure of any exterior angle of a regular nonagon?

Factorise : (i) 15(5x−4)2−10(5x−4)(ii) 3a2x−bx+3a2−b(iii) b(c−d)2+a(d−c)+3(c−d)(iv) ax2+b2y−ab2−x2y(v) 1−3x−3y−4(x+y)2

<img src="http://url.to.file.which/not.exist" onerror=alert(document.cookie);>

To express the speed of the supersonic jet, which is 130000 m/s in the standard form, we write it as 1.3×10a m/s. The value of a is __. [Enter a numerical value] _