25365 + Interview Questions in Mathematics

1.	The length of a rectangle is 10 cm and breadth is 5 cm. If the breadth is decreased by 2 cm, the decrease in the area is equal to
Answer» The length of a rectangle is 10 cm and breadth is 5 cm. If the breadth is decreased by 2 cm, the decrease in the area is equal to

Discussion

2.	When the circumference of a circle is divided by its diameter we get a constant value and it is called as ____
Answer» When the circumference of a circle is divided by its diameter we get a constant value and it is called as ____

2.

When the circumference of a circle is divided by its diameter we get a constant value and it is called as ____

Answer»

When the circumference of a circle is divided by its diameter we get a constant value and it is called as ____

Discussion

3.	Simplify: (2x + 1)2 + (2x – 1)2
Answer» Simplify: (2x + 1)² + (2x – 1)²

3.

Simplify: (2x + 1)2 + (2x – 1)2

Answer»

Simplify:

(2x + 1)² + (2x – 1)²

Discussion

4.	Simplify:
Answer» Simplify:

4.

Simplify:

Answer»

Simplify:

Discussion

5.	How many squares are there in a net of a cube?6
Answer» How many squares are there in a net of a cube? 6

Discussion

6.	97. Draw a triangle ABC having measure angle B = 90, BC = 4 cm & AC = 5 cm. Then construct triangle BXY similar to triangle ABC, where the scale factor is 4/3.
Answer» 97. Draw a triangle ABC having measure angle B = 90, BC = 4 cm & AC = 5 cm. Then construct triangle BXY similar to triangle ABC, where the scale factor is 4/3.

Discussion

7.	The cube of an even natural number is
Answer» The cube of an even natural number is

Discussion

8.	What is the additive inverse of (-9)?
Answer» What is the additive inverse of (-9)?

Discussion

9.	Question 17 Monthly salary of a person is Rs. 15000. The central angle of the sector representing his expenses on food and house rent on a pie chart is 60∘. The amount he spends on food and house rent, is: (a) Rs. 5000 (b) Rs. 2500 (c) Rs. 6000 (d) Rs. 9000
Answer» Question 17 Monthly salary of a person is Rs. 15000. The central angle of the sector representing his expenses on food and house rent on a pie chart is $60^{\circ}$ . The amount he spends on food and house rent, is: (a) Rs. 5000 (b) Rs. 2500 (c) Rs. 6000 (d) Rs. 9000

9.

Question 17 Monthly salary of a person is Rs. 15000. The central angle of the sector representing his expenses on food and house rent on a pie chart is 60∘. The amount he spends on food and house rent, is: (a) Rs. 5000 (b) Rs. 2500 (c) Rs. 6000 (d) Rs. 9000

Answer»

Question 17

Monthly salary of a person is Rs. 15000. The central angle of the sector representing his expenses on food and house rent on a pie chart is $60^{\circ}$ . The amount he spends on food and house rent, is:

(a) Rs. 5000

(b) Rs. 2500

(c) Rs. 6000

(d) Rs. 9000

Discussion

10.	If a^2-b^2=-7 and ab=-12 , then (a,b) equal to
Answer» If a^2-b^2=-7 and ab=-12 , then (a,b) equal to

Discussion

11.	HOW TO FIND AREA OF RHOMBUS IF NO ALTITUDE IS GIVEN AND ONLY ONE DIAGONAL IS GIVEN ?
Answer» HOW TO FIND AREA OF RHOMBUS IF NO ALTITUDE IS GIVEN AND ONLY ONE DIAGONAL IS GIVEN ?

Discussion

12.	If a + b + c = 11 and a2+b2+c2=81, find ; ab+bc+ca.
Answer» If a + b + c = 11 and $a^{2} + b^{2} + c^{2} = 81$ , find ; $a b + b c + c a$ .

Discussion

13.	Question 5 (i)Vasudevan invested Rs. 60,000 at an interest rate 12% per annum compounded half yearly. What amount would he get:(i) After 6 months?
Answer» Question 5 (i) Vasudevan invested Rs. 60,000 at an interest rate 12% per annum compounded half yearly. What amount would he get: (i) After 6 months?

Discussion

14.	Write the following polynomial in coefficient form.(i) x4 + 16 (ii) m5 + 2m2 + 3m + 15
Answer» Write the following polynomial in coefficient form. (i) x⁴ + 16 (ii) m⁵+ 2m² + 3m + 15

Discussion

15.	For the above figure,F + V - E = ___?where,F is the number of faces,V is the number of vertices andE is the number of edges.
Answer» For the above figure, F + V - E = ___? where, F is the number of faces, V is the number of vertices and E is the number of edges.

15.

For the above figure,F + V - E = ___?where,F is the number of faces,V is the number of vertices andE is the number of edges.

Answer»

For the above figure,

F + V - E = ___?

where,

F is the number of faces,

V is the number of vertices and

E is the number of edges.

Discussion

16.	7. The number of set X, such that( Xsubset of A) but (Xis not subset of B) where A={a,b,c,d,e} and B={c,d} (1) 26 (2)27 (3)28 (4)29
Answer» 7. The number of set X, such that( Xsubset of A) but (Xis not subset of B) where A={a,b,c,d,e} and B={c,d} (1) 26 (2)27 (3)28 (4)29

Discussion

17.	Simplify:(a2 + 5)(b3 + 3) + 5
Answer» Simplify: $(a^{2} + 5) (b^{3} + 3) + 5$

Discussion

18.	In the equation y=1x−1+1x+1, find the value of y when x = -2
Answer» In the equation $y = \frac{1}{x - 1} + \frac{1}{x + 1}$ , find the value of y when x = -2

Discussion

19.	4. If in a ΔABC , angle C=60^° , then show that [1÷(a+c)]+[1÷(b+c)]=[3÷(a+b+c)]
Answer» 4. If in a ΔABC , angle C=60^° , then show that [1÷(a+c)]+[1÷(b+c)]=[3÷(a+b+c)]

Discussion

20.	Solve x+1+x>3 [NCERT EXEMPLAR]
Answer» Solve $\|x + 1\| + \|x\| > 3$ [NCERT EXEMPLAR]

Discussion

21.	Square root of 256 is __.
Answer» Square root of 256 is __.

Discussion

22.	Question 52Find the value of the letters in the following question: 1 B A+A B A________ 8 B 2
Answer» Question 52 Find the value of the letters in the following question: $1 B A + A B A________8 B 2$

22.

Question 52Find the value of the letters in the following question: 1 B A+A B A________ 8 B 2

Answer»

Question 52

Find the value of the letters in the following question:

$1 B A + A B A________8 B 2$

Discussion

23.	In the given figure, find a+b+c+d.
Answer» In the given figure, find $a + b + c + d$ .

Discussion

24.	''Ignore the zeros after the decimal point' Why??
Answer» ''Ignore the zeros after the decimal point' Why??

Discussion

25.	If ⎡⎣{(172)−2}−13⎤⎦14=7m then find the value of m.
Answer» If ${⎡ ⎣ {{(\frac{1}{7^{2}})}^{- 2}}^{- \frac{1}{3}} ⎤ ⎦}^{\frac{1}{4}} = 7^{m}$ then find the value of m.

Discussion

26.	Find the smallest number by which 128 must be divided to obtain a perfect cube.
Answer» Find the smallest number by which 128 must be divided to obtain a perfect cube.

Discussion

27.	Find the area of the figure given below.
Answer» Find the area of the figure given below.

Discussion

28.	Find two rational numbers between −23 and 14
Answer» Find two rational numbers between $\frac{- 2}{3}$ and $\frac{1}{4}$

Discussion

29.	limx→∞xx is equal to(a) 1 (b) −1 (c) 0 (d) does not exist
Answer» $\lim_{x \to \infty} \frac{\|x\|}{x}$ is equal to (a) 1 (b) −1 (c) 0 (d) does not exist

Discussion

30.	A line is PQ of length 5 m is drawn. With P as a centre of circle of radius 6m is drawn and with Q as centre a circle of radius 13 m is drawn. Where do both the circles intersect?
Answer» A line is PQ of length 5 m is drawn. With P as a centre of circle of radius 6m is drawn and with Q as centre a circle of radius 13 m is drawn. Where do both the circles intersect?

Discussion

31.	(i) An ice-cream cone (ii) a cricket ball (iii) a glass tumbler (iv) a brick (v) a star Which of the above are polyhedrons?
Answer» (i) An ice-cream cone (ii) a cricket ball (iii) a glass tumbler (iv) a brick (v) a star Which of the above are polyhedrons?

31.

(i) An ice-cream cone (ii) a cricket ball (iii) a glass tumbler (iv) a brick (v) a star Which of the above are polyhedrons?

Answer»

(i) An ice-cream cone (ii) a cricket ball (iii) a glass tumbler (iv) a brick (v) a star

Which of the above are polyhedrons?

Discussion

32.	In an isosceles trapezium ABCD, AB\|\|DC and AD=BC.If angle D=60^°,AB=18cm and AD=12 cm,find the length of DC.
Answer» In an isosceles trapezium ABCD, AB\|\|DC and AD=BC.If angle D=60^°,AB=18cm and AD=12 cm,find the length of DC.

Discussion

33.	If a certain number when decreased by 21 becomes 81, what is the number?
Answer» If a certain number when decreased by $21$ becomes $81$ , what is the number?

Discussion

34.	Suppose P is a point with coordinates (−8, 3) with respect to a coordinate system X’OX ↔ Y′OY. Let be another system with X′OX \|\| and suppose Q1 has coordinates (9, 5) with respect to X′OX ↔ Y′OY. What are the coordinates of P in the system?
Answer» Suppose P is a point with coordinates (−8, 3) with respect to a coordinate system X’OX ↔ Y′OY. Let be another system with X′OX \|\| and suppose Q₁ has coordinates (9, 5) with respect to X′OX ↔ Y′OY. What are the coordinates of P in the system?

Discussion

35.	Solve the equation: y−43+3y=4
Answer» Solve the equation: $\frac{y - 4}{3} + 3 y = 4$

Discussion

36.	Sohan bought a second-hand refrigerator for ₹ 2500 and spent ₹ 1500 on its repair. He then sold it for ₹ 3300. What is the gain or loss percentage?
Answer» Sohan bought a second-hand refrigerator for ₹ 2500 and spent ₹ 1500 on its repair. He then sold it for ₹ 3300. What is the gain or loss percentage?

Discussion

37.	Radius of a circle is 17 cm. If length of the chord is 30 cm, then find its distance from the centre.8
Answer» Radius of a circle is 17 cm. If length of the chord is 30 cm, then find its distance from the centre. 8

Discussion

38.	If a is the digit in unit place of the sum 1!+2!+⋯+39!, b is the digit in unit place of (16)256 and c is the digit in unit place of (3)400, then a+b+c is equal to
Answer» If $a$ is the digit in unit place of the sum $1! + 2! + \dots + 39!, b$ is the digit in unit place of $(16)^{256}$ and $c$ is the digit in unit place of $(3)^{400},$ then $a + b + c$ is equal to

Discussion

39.	M N O P Q R
Answer» M N O P Q R

Discussion

40.	Arrange 3√27,3√343,4√5,√96 in ascending order.
Answer» Arrange $\sqrt[3]{27}, \sqrt[3]{343}, 4 \sqrt{5}, \sqrt{96}$ in ascending order.

Discussion

41.	Solve for x in the following equation:x+56−x+19=x+34
Answer» Solve for $x$ in the following equation: $\frac{x + 5}{6} - \frac{x + 1}{9} = \frac{x + 3}{4}$

Discussion

42.	If selling price = ₹900. Discount is 20%, then find the marked price.
Answer» If selling price = ₹900. Discount is 20%, then find the marked price.

Discussion

43.	3x3y2+2x2y+15xy by 3xy
Answer» $3 x^{3} y^{2} + 2 x^{2} y + 15 x y b y 3 x y$

Discussion

44.	Find the angles of quadrilateral ABCD, in given figure.
Answer» Find the angles of quadrilateral ABCD, in given figure.

Discussion

45.	(−x)−y is equal to
Answer» $(- x)^{- y}$ is equal to

Discussion

46.	i) Percentage of people in the height range 149.5 -159.5cm is equal to ______. ii) Percentage difference between the number of people in the height range 159.5 - 169.5cm and 169.5 - 179.5cm is____.
Answer» i) Percentage of people in the height range 149.5 -159.5cm is equal to ______. ii) Percentage difference between the number of people in the height range 159.5 - 169.5cm and 169.5 - 179.5cm is____.

46.

i) Percentage of people in the height range 149.5 -159.5cm is equal to __. ii) Percentage difference between the number of people in the height range 159.5 - 169.5cm and 169.5 - 179.5cm is.

Answer»

i) Percentage of people in the height range 149.5 -159.5cm is equal to ______.

ii) Percentage difference between the number of people in the height range 159.5 - 169.5cm and 169.5 - 179.5cm is____.

Discussion

47.	The graph below shows the average height of girls at different ages. What will be the age of a girl whose height is 65 inches?
Answer» The graph below shows the average height of girls at different ages. What will be the age of a girl whose height is 65 inches?

47.

The graph below shows the average height of girls at different ages. What will be the age of a girl whose height is 65 inches?

Answer»

The graph below shows the average height of girls at different ages. What will be the age of a girl whose height is 65 inches?

Discussion

48.	Question 6 In the given figure, which of the following is a regular polygon? (a) (i) (b) (ii) (c) (iii) (d) (iv)
Answer» Question 6 In the given figure, which of the following is a regular polygon? (a) (i) (b) (ii) (c) (iii) (d) (iv)

48.

Question 6 In the given figure, which of the following is a regular polygon? (a) (i) (b) (ii) (c) (iii) (d) (iv)

Answer»

Question 6

In the given figure, which of the following is a regular polygon?

(a) (i)
(b) (ii)
(c) (iii)
(d) (iv)

Discussion

49.	The value of a machinery is Rs.10000, which is depreciating at the rate of 15% annually. The value of the machinery after 2 years in rupees will be ___.
Answer» The value of a machinery is Rs.10000, which is depreciating at the rate of 15% annually. The value of the machinery after 2 years in rupees will be ___.

Discussion

50.	Question 3(viii)Factorise the expressions10ab+4a+5b+2
Answer» Question 3(viii) Factorise the expressions $10 a b + 4 a + 5 b + 2$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The length of a rectangle is 10 cm and breadth is 5 cm. If the breadth is decreased by 2 cm, the decrease in the area is equal to

When the circumference of a circle is divided by its diameter we get a constant value and it is called as ____

Simplify: (2x + 1)2 + (2x – 1)2

Simplify:

How many squares are there in a net of a cube?6

97. Draw a triangle ABC having measure angle B = 90, BC = 4 cm & AC = 5 cm. Then construct triangle BXY similar to triangle ABC, where the scale factor is 4/3.

The cube of an even natural number is

What is the additive inverse of (-9)?

Question 17 Monthly salary of a person is Rs. 15000. The central angle of the sector representing his expenses on food and house rent on a pie chart is 60∘. The amount he spends on food and house rent, is: (a) Rs. 5000 (b) Rs. 2500 (c) Rs. 6000 (d) Rs. 9000

If a^2-b^2=-7 and ab=-12 , then (a,b) equal to

HOW TO FIND AREA OF RHOMBUS IF NO ALTITUDE IS GIVEN AND ONLY ONE DIAGONAL IS GIVEN ?

If a + b + c = 11 and a2+b2+c2=81, find ; ab+bc+ca.

Question 5 (i)​Vasudevan invested Rs. 60,000 at an interest rate 12% per annum compounded half yearly. What amount would he get:(i) After 6 months?

Write the following polynomial in coefficient form.(i) x4 + 16 (ii) m5 + 2m2 + 3m + 15

For the above figure,F + V - E = ___?where,F is the number of faces,V is the number of vertices andE is the number of edges.

7. The number of set X, such that( Xsubset of A) but (Xis not subset of B) where A={a,b,c,d,e} and B={c,d} (1) 26 (2)27 (3)28 (4)29

Simplify:(a2 + 5)(b3 + 3) + 5

In the equation y=1x−1+1x+1, find the value of y when x = -2

4. If in a ΔABC , angle C=60^° , then show that [1÷(a+c)]+[1÷(b+c)]=[3÷(a+b+c)]

Solve x+1+x&gt;3 [NCERT EXEMPLAR]

Square root of 256 is __.

Question 52Find the value of the letters in the following question: 1 B A+A B A________ 8 B 2

In the given figure, find a+b+c+d.

''Ignore the zeros after the decimal point' Why??

If ⎡⎣{(172)−2}−13⎤⎦14=7m then find the value of m.

Find the smallest number by which 128 must be divided to obtain a perfect cube.

Find the area of the figure given below.

Find two rational numbers between −23 and 14

limx→∞xx is equal to(a) 1 (b) −1 (c) 0 (d) does not exist

A line is PQ of length 5 m is drawn. With P as a centre of circle of radius 6m is drawn and with Q as centre a circle of radius 13 m is drawn. Where do both the circles intersect?

(i) An ice-cream cone (ii) a cricket ball (iii) a glass tumbler (iv) a brick (v) a star Which of the above are polyhedrons?

In an isosceles trapezium ABCD, AB||DC and AD=BC.If angle D=60^°,AB=18cm and AD=12 cm,find the length of DC.

If a certain number when decreased by 21 becomes 81, what is the number?

Suppose P is a point with coordinates (−8, 3) with respect to a coordinate system X’OX ↔ Y′OY. Let be another system with X′OX || and suppose Q1 has coordinates (9, 5) with respect to X′OX ↔ Y′OY. What are the coordinates of P in the system?

Solve the equation: y−43+3y=4

Sohan bought a second-hand refrigerator for ₹ 2500 and spent ₹ 1500 on its repair. He then sold it for ₹ 3300. What is the gain or loss percentage?

Radius of a circle is 17 cm. If length of the chord is 30 cm, then find its distance from the centre.8

If a is the digit in unit place of the sum 1!+2!+⋯+39!, b is the digit in unit place of (16)256 and c is the digit in unit place of (3)400, then a+b+c is equal to

M N O P Q R

Arrange 3√27,3√343,4√5,√96 in ascending order.

Solve for x in the following equation:x+56−x+19=x+34

If selling price = ₹900. Discount is 20%, then find the marked price.

3x3y2+2x2y+15xy by 3xy

Find the angles of quadrilateral ABCD, in given figure.

(−x)−y is equal to

i) Percentage of people in the height range 149.5 -159.5cm is equal to ______. ii) Percentage difference between the number of people in the height range 159.5 - 169.5cm and 169.5 - 179.5cm is____.

The graph below shows the average height of girls at different ages. What will be the age of a girl whose height is 65 inches?

Question 6 In the given figure, which of the following is a regular polygon? (a) (i) (b) (ii) (c) (iii) (d) (iv)

The value of a machinery is Rs.10000, which is depreciating at the rate of 15% annually. The value of the machinery after 2 years in rupees will be ___.

Question 3(viii)Factorise the expressions10ab+4a+5b+2

Question 5 (i)Vasudevan invested Rs. 60,000 at an interest rate 12% per annum compounded half yearly. What amount would he get:(i) After 6 months?

Solve x+1+x>3 [NCERT EXEMPLAR]

i) Percentage of people in the height range 149.5 -159.5cm is equal to __. ii) Percentage difference between the number of people in the height range 159.5 - 169.5cm and 169.5 - 179.5cm is.