25365 + Interview Questions in Mathematics

1.	On the eve of Gandhi Jayanti, a saree is sold for Rs. 720 after allowing 20% discount. What is the marked price?
Answer» On the eve of Gandhi Jayanti, a saree is sold for Rs. 720 after allowing $20 %$ discount. What is the marked price?

Discussion

2.	By what least number should 1536 be divided to get a perfect cube? (a) 3 (b) 4 (c) 6 (d) 8
Answer» By what least number should 1536 be divided to get a perfect cube? (a) 3 (b) 4 (c) 6 (d) 8

Discussion

3.	Question 2(vii) State True or False. The cube of a single digit number may be a single digit number.
Answer» Question 2(vii) State True or False. The cube of a single digit number may be a single digit number.

3.

Question 2(vii) State True or False. The cube of a single digit number may be a single digit number.

Answer»

Question 2(vii)

State True or False.
The cube of a single digit number may be a single digit number.

Discussion

4.	C is a circle centered at O. PT1 and PT2 are the tangents drawn from a point P outside the circle to the circle. Then which of these is the most appropriate relation.
Answer» C is a circle centered at O. $P T_{1}$ and $P T_{2}$ are the tangents drawn from a point P outside the circle to the circle. Then which of these is the most appropriate relation.

Discussion

5.	1) the measures of two adjacent angles of a parallelogram are in the ratio 2:3. find the measure of each of the angles of parallelogram .
Answer» 1) the measures of two adjacent angles of a parallelogram are in the ratio 2:3. find the measure of each of the angles of parallelogram .

Discussion

6.	A set that has one and only one element is called ___.
Answer» A set that has one and only one element is called ___.

Discussion

7.	Question 6 A cylinder and a right circular cone are having the same base and same height. The volume of the cylinder is three times the volume of the cone.
Answer» Question 6 A cylinder and a right circular cone are having the same base and same height. The volume of the cylinder is three times the volume of the cone.

Discussion

8.	What is the relation between number of digits of a perfect square and its root? [1 MARK]
Answer» What is the relation between number of digits of a perfect square and its root? [1 MARK]

Discussion

9.	Name the solid in the figure.
Answer» Name the solid in the figure.

9.

Name the solid in the figure.

Answer»

Name the solid in the figure.

Discussion

10.	Factorise (a−1)−(a−1)2+ab−b.
Answer» Factorise $(a - 1) - (a - 1)^{2} + a b - b$ .

Discussion

11.	Simple Interest on certain sum at the rate of 10% per annum for 6 years and 7 years differs by Rs.650. Find the sum.
Answer» Simple Interest on certain sum at the rate of $10 %$ per annum for 6 years and 7 years differs by Rs.650. Find the sum.

Discussion

12.	From the sum of 4+3x and 5−4x+2x2, subtract the sum of 3x2−5x and −x2+2x+5. [4 MARKS]
Answer» From the sum of $4 + 3 x a n d 5 - 4 x + 2 x^{2}$ , subtract the sum of $3 x^{2} - 5 x a n d - x^{2} + 2 x + 5$ . [4 MARKS]

Discussion

13.	X+1/X=5 Find X2 +1/X2
Answer» X+1/X=5 Find X²+1/X²

Discussion

14.	Construct a parallelogram ABCD in which BC = 5 cm, ∠BCD=120∘ CD = 4.8 cm.
Answer» Construct a parallelogram ABCD in which BC = 5 cm, $∠ B C D = 120^{\circ}$ CD = 4.8 cm.

Discussion

15.	Two angles of a quadrilateral are of measure 65∘ and the other two angles are equal. What is the measure of each of these two angles?
Answer» Two angles of a quadrilateral are of measure $65^{\circ}$ and the other two angles are equal. What is the measure of each of these two angles?

Discussion

16.	Construct a rectangle ABCD whose adjacent sides are 11 cm and 8.5 cm.
Answer» Construct a rectangle ABCD whose adjacent sides are 11 cm and 8.5 cm.

Discussion

17.	Why does n(n-3)/2 always gives the number of diagonals in a polygon with n sides?
Answer» Why does n(n-3)/2 always gives the number of diagonals in a polygon with n sides?

Discussion

18.	Question 90 (i) Factorise the following, using the identity, a2−2ab+b2=(a−b)2 x2−8x+16
Answer» Question 90 (i) Factorise the following, using the identity, $a^{2} - 2 a b + b^{2} = (a - b)^{2}$ $x^{2} - 8 x + 16$

Discussion

19.	Find the value of y: 2.4(3-y)-0.6(2y-3)=0 F
Answer» Find the value of y: 2.4(3-y)-0.6(2y-3)=0 F

Discussion

20.	Two cubes have their volumes in the ratio 1:27. The ratio of their surface areas is (a) 1:3 (b) 1:9 (c) 1:27 (d) none of these
Answer» Two cubes have their volumes in the ratio $1 : 27$ . The ratio of their surface areas is (a) $1 : 3$ (b) $1 : 9$ (c) $1 : 27$ (d) none of these

20.

Two cubes have their volumes in the ratio 1:27. The ratio of their surface areas is (a) 1:3 (b) 1:9 (c) 1:27 (d) none of these

Answer»

Two cubes have their volumes in the ratio $1 : 27$ . The ratio of their surface areas is

(a) $1 : 3$

(b) $1 : 9$

(c) $1 : 27$

(d) none of these

Discussion

21.	Question 79 In a throw of a die, the probability of getting an even number is the same as that of getting an odd number ?
Answer» Question 79 In a throw of a die, the probability of getting an even number is the same as that of getting an odd number ?

21.

Question 79 In a throw of a die, the probability of getting an even number is the same as that of getting an odd number ?

Answer»

Question 79

In a throw of a die, the probability of getting an even number is the same as that of getting an odd number ?

Discussion

22.	Question 1 (viii) What will be the unit digit of the squares of the following number: 99880
Answer» Question 1 (viii) What will be the unit digit of the squares of the following number: 99880

22.

Question 1 (viii) What will be the unit digit of the squares of the following number: 99880

Answer»

Question 1 (viii)
What will be the unit digit of the squares of the following number:

99880

Discussion

23.	In the given figure, ABCD is a rhombus, then the value of 'x' (in degrees) is 30
Answer» In the given figure, ABCD is a rhombus, then the value of 'x' (in degrees) is 30

Discussion

24.	Two circles intersect as shown in the diagram below. The radii of the circles are 14cm each and ∠AOP=45∘ What is the area of the region shaded in blue?
Answer» Two circles intersect as shown in the diagram below. The radii of the circles are 14cm each and $∠ A O P = 45^{\circ}$ What is the area of the region shaded in blue?

Discussion

25.	Reciprocal of any natural number lies between
Answer» Reciprocal of any natural number lies between

Discussion

26.	Question 2(v) Simplify and express the result in power notation with positive exponent: 2−3×(−7)−3
Answer» Question 2(v) Simplify and express the result in power notation with positive exponent: $2^{- 3} \times (- 7)^{- 3}$

26.

Question 2(v) Simplify and express the result in power notation with positive exponent: 2−3×(−7)−3

Answer»

Question 2(v)
Simplify and express the result in power notation with positive exponent:

$2^{- 3} \times (- 7)^{- 3}$

Discussion

27.	Square root of 484 is :
Answer» Square root of 484 is :

Discussion

28.	The total number of face cards in a deck of cards is
Answer» The total number of face cards in a deck of cards is

Discussion

29.	Question 5 (ii) Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained: 1750
Answer» Question 5 (ii) Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained: 1750

29.

Question 5 (ii) Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained: 1750

Answer»

Question 5 (ii)
Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained:

1750

Discussion

30.	Given the perimeter of a triangle as 18 ft. Its side lengths are 5 ft, 7 ft and x ft. Find x.
Answer» Given the perimeter of a triangle as 18 ft. Its side lengths are 5 ft, 7 ft and x ft. Find x.

Discussion

31.	Order of rotational symmetry is the number of times an object looks exactly the same in a complete turn of _________
Answer» Order of rotational symmetry is the number of times an object looks exactly the same in a complete turn of _________

Discussion

32.	Write down the formula for compound interest after n years. [1 MARK]
Answer» Write down the formula for compound interest after n years. [1 MARK]

Discussion

33.	The given graph shows the progress of a cyclist during a ride. Which of the following describes the rider’s progress over the period of time.
Answer» The given graph shows the progress of a cyclist during a ride. Which of the following describes the rider’s progress over the period of time.

Discussion

34.	Point M moved along the circle (x−4)2+(y−8)2=20. Then it broke away from it and moving along a tangent to the circle, cuts the x-axis at the point (–2, 0). The coordinates of the point on the circle at which the moving point broke away can be
Answer» Point M moved along the circle $(x - 4)^{2} + (y - 8)^{2} = 20$ . Then it broke away from it and moving along a tangent to the circle, cuts the x-axis at the point (–2, 0). The coordinates of the point on the circle at which the moving point broke away can be

Discussion

35.	Preeti is trying to draw a line parallel to PQ through a point R (not on PQ). How many arcs will she need to draw and how many times she needs to change the distance between the compass tip and the pencil tip respectively?
Answer» Preeti is trying to draw a line parallel to $P Q$ through a point $R$ (not on $P Q$ ). How many arcs will she need to draw and how many times she needs to change the distance between the compass tip and the pencil tip respectively?

Discussion

36.	In the given figure, P and Q are the mid-points of AC and AB. Also, PG =GR and HQ=HR. What is the ratio of area of ΔPQR to area of ΔABC?
Answer» In the given figure, P and Q are the mid-points of AC and AB. Also, PG =GR and HQ=HR. What is the ratio of area of $Δ P Q R$ to area of $Δ A B C ?$

36.

In the given figure, P and Q are the mid-points of AC and AB. Also, PG =GR and HQ=HR. What is the ratio of area of ΔPQR to area of ΔABC?

Answer»

In the given figure, P and Q are the mid-points of AC and AB. Also, PG =GR and HQ=HR. What is the ratio of area of $Δ P Q R$ to area of $Δ A B C ?$

Discussion

37.	ABCD is a parallelogram. Which of the following is not true about ABCD?
Answer» ABCD is a parallelogram. Which of the following is not true about ABCD?

Discussion

38.	If we take the square of 1234, what will be the digit in the units place?
Answer» If we take the square of 1234, what will be the digit in the units place?

Discussion

39.	Find the area of the triangle formed by joining the mid points of the sides of the triangle formed with coordinates A (-4, 3), B (2, 3) and C (4, 5).
Answer» Find the area of the triangle formed by joining the mid points of the sides of the triangle formed with coordinates A (-4, 3), B (2, 3) and C (4, 5).

Discussion

40.	1992 can be expressed using the square identity as (200)2 + 1 + 200 ×_____.
Answer» 199² can be expressed using the square identity as (200)² + 1 + 200 ×_____.

Discussion

41.	The circumference of a circle of diameter 10 cm is:
Answer» The circumference of a circle of diameter 10 cm is:

Discussion

42.	Question 58 State whether the statement is True or False. In the given figure, (a) Area of (i) is the same as the area of (ii). (b) Perimeter of (ii) is the same as (i). (c) If (ii) is divided into squares of unit length, then its area is 13 unit squares. (d) Perimeter of (ii) is 18 units.
Answer» Question 58 State whether the statement is True or False. In the given figure, (a) Area of (i) is the same as the area of (ii). (b) Perimeter of (ii) is the same as (i). (c) If (ii) is divided into squares of unit length, then its area is 13 unit squares. (d) Perimeter of (ii) is 18 units.

Discussion

43.	If an acid and water are mixed in the ratio 5:6 to make a liquid and 20 more litres of acid is added, the ratio changes to 5:2 then what is the final volume of liquid?
Answer» If an acid and water are mixed in the ratio 5:6 to make a liquid and 20 more litres of acid is added, the ratio changes to 5:2 then what is the final volume of liquid?

Discussion

44.	The locus of the point of intersection of two perpendicular tangents to the circle x2+y2=a2 is
Answer» The locus of the point of intersection of two perpendicular tangents to the circle $x^{2} + y^{2} = a^{2}$ is

Discussion

45.	If the sum of three consecutive multiples of 6 is 126, then the third multiple is :
Answer» If the sum of three consecutive multiples of 6 is 126, then the third multiple is :

Discussion

46.	Taking O as centre, draw an arc 'AC' with radius ‘r’. Cut the arc ‘AC’ at ‘B’, with centre ‘A’ and radius ‘r’. If ‘AB’ is joined in a straight line, what will be the ∠BAO (in degrees)? ___
Answer» Taking O as centre, draw an arc 'AC' with radius ‘r’. Cut the arc ‘AC’ at ‘B’, with centre ‘A’ and radius ‘r’. If ‘AB’ is joined in a straight line, what will be the $∠ B A O$ (in degrees)? ___

46.

Taking O as centre, draw an arc 'AC' with radius ‘r’. Cut the arc ‘AC’ at ‘B’, with centre ‘A’ and radius ‘r’. If ‘AB’ is joined in a straight line, what will be the ∠BAO (in degrees)? ___

Answer»

Taking O as centre, draw an arc 'AC' with radius ‘r’. Cut the arc ‘AC’ at ‘B’, with centre ‘A’ and radius ‘r’. If ‘AB’ is joined in a straight line, what will be the $∠ B A O$ (in degrees)?

___

Discussion

47.	A store owner purchased a ream of paper for Rs50 and sold it in retail at Rs5.50 per quire. How much profit or loss did he make ?(hint :one ream =20 quire
Answer» A store owner purchased a ream of paper for Rs50 and sold it in retail at Rs5.50 per quire. How much profit or loss did he make ?(hint :one ream =20 quire

Discussion

48.	When was first election held in India?
Answer» When was first election held in India?

Discussion

49.	Rational number between 1/3 and 1/5
Answer» Rational number between 1/3 and 1/5

Discussion

50.	Pls....Tell this problem and correct answer only.only solve expert Show that a-(b-c) is not equal to (a-b)-c A=5/3 B=11/2 C= -9/4.... Now only solve this problems
Answer» Pls....Tell this problem and correct answer only.only solve expert Show that a-(b-c) is not equal to (a-b)-c A=5/3 B=11/2 C= -9/4.... Now only solve this problems

50.

Pls....Tell this problem and correct answer only.only solve expert Show that a-(b-c) is not equal to (a-b)-c A=5/3 B=11/2 C= -9/4.... Now only solve this problems

Answer»

Pls....Tell this problem and correct answer only.only solve expert

Show that a-(b-c) is not equal to (a-b)-c

A=5/3

B=11/2

C= -9/4....

Now only solve this problems

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

On the eve of Gandhi Jayanti, a saree is sold for Rs. 720 after allowing 20% discount. What is the marked price?

By what least number should 1536 be divided to get a perfect cube? (a) 3 (b) 4 (c) 6 (d) 8

Question 2(vii) State True or False. The cube of a single digit number may be a single digit number.

C is a circle centered at O. PT1 and PT2 are the tangents drawn from a point P outside the circle to the circle. Then which of these is the most appropriate relation.

1) the measures of two adjacent angles of a parallelogram are in the ratio 2:3. find the measure of each of the angles of parallelogram .

A set that has one and only one element is called ___.

Question 6 A cylinder and a right circular cone are having the same base and same height. The volume of the cylinder is three times the volume of the cone.

What is the relation between number of digits of a perfect square and its root? [1 MARK]

Name the solid in the figure.

Factorise (a−1)−(a−1)2+ab−b.

Simple Interest on certain sum at the rate of 10% per annum for 6 years and 7 years differs by Rs.650. Find the sum.

From the sum of 4+3x and 5−4x+2x2, subtract the sum of 3x2−5x and −x2+2x+5. [4 MARKS]

X+1/X=5 Find X​​​​​​2 +1/X​​​​​​2

Construct a parallelogram ABCD in which BC = 5 cm, ∠BCD=120∘ CD = 4.8 cm.

Two angles of a quadrilateral are of measure 65∘ and the other two angles are equal. What is the measure of each of these two angles?

Construct a rectangle ABCD whose adjacent sides are 11 cm and 8.5 cm.

Why does n(n-3)/2 always gives the number of diagonals in a polygon with n sides?

Question 90 (i) Factorise the following, using the identity, a2−2ab+b2=(a−b)2 x2−8x+16

Find the value of y: 2.4(3-y)-0.6(2y-3)=0 F

Two cubes have their volumes in the ratio 1:27. The ratio of their surface areas is (a) 1:3 (b) 1:9 (c) 1:27 (d) none of these

Question 79 In a throw of a die, the probability of getting an even number is the same as that of getting an odd number ?

Question 1 (viii) What will be the unit digit of the squares of the following number: 99880

In the given figure, ABCD is a rhombus, then the value of 'x' (in degrees) is 30

Two circles intersect as shown in the diagram below. The radii of the circles are 14cm each and ∠AOP=45∘​ What is the area of the region shaded in blue?

Reciprocal of any natural number lies between

Question 2(v) Simplify and express the result in power notation with positive exponent: 2−3×(−7)−3

Square root of 484 is :

The total number of face cards in a deck of cards is

Question 5 (ii) Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained: 1750

Given the perimeter of a triangle as 18 ft. Its side lengths are 5 ft, 7 ft and x ft. Find x.

Order of rotational symmetry is the number of times an object looks exactly the same in a complete turn of _________

Write down the formula for compound interest after n years. [1 MARK]

The given graph shows the progress of a cyclist during a ride. Which of the following describes the rider’s progress over the period of time.

Point M moved along the circle (x−4)2+(y−8)2=20. Then it broke away from it and moving along a tangent to the circle, cuts the x-axis at the point (–2, 0). The coordinates of the point on the circle at which the moving point broke away can be

Preeti is trying to draw a line parallel to PQ through a point R (not on PQ). How many arcs will she need to draw and how many times she needs to change the distance between the compass tip and the pencil tip respectively?

In the given figure, P and Q are the mid-points of AC and AB. Also, PG =GR and HQ=HR. What is the ratio of area of ΔPQR to area of ΔABC? ​​

ABCD is a parallelogram. Which of the following is not true about ABCD?

If we take the square of 1234, what will be the digit in the units place?

Find the area of the triangle formed by joining the mid points of the sides of the triangle formed with coordinates A (-4, 3), B (2, 3) and C (4, 5).

1992 can be expressed using the square identity as (200)2 + 1 + 200 ×_____.

The circumference of a circle of diameter 10 cm is:

Question 58 State whether the statement is True or False. In the given figure, (a) Area of (i) is the same as the area of (ii). (b) Perimeter of (ii) is the same as (i). (c) If (ii) is divided into squares of unit length, then its area is 13 unit squares. (d) Perimeter of (ii) is 18 units.

If an acid and water are mixed in the ratio 5:6 to make a liquid and 20 more litres of acid is added, the ratio changes to 5:2 then what is the final volume of liquid?

The locus of the point of intersection of two perpendicular tangents to the circle x2+y2=a2 is

If the sum of three consecutive multiples of 6 is 126, then the third multiple is :

Taking O as centre, draw an arc 'AC' with radius ‘r’. Cut the arc ‘AC’ at ‘B’, with centre ‘A’ and radius ‘r’. If ‘AB’ is joined in a straight line, what will be the ∠BAO (in degrees)? ___

A store owner purchased a ream of paper for Rs50 and sold it in retail at Rs5.50 per quire. How much profit or loss did he make ?(hint :one ream =20 quire

When was first election held in India?

Rational number between 1/3 and 1/5

Pls....Tell this problem and correct answer only.only solve expert Show that a-(b-c) is not equal to (a-b)-c A=5/3 B=11/2 C= -9/4.... Now only solve this problems

X+1/X=5 Find X2 +1/X2

Two circles intersect as shown in the diagram below. The radii of the circles are 14cm each and ∠AOP=45∘ What is the area of the region shaded in blue?

In the given figure, P and Q are the mid-points of AC and AB. Also, PG =GR and HQ=HR. What is the ratio of area of ΔPQR to area of ΔABC?