25365 + Interview Questions in Mathematics

1.	If the sides of a triangle are 3 cm, 4 cm and 6 cm long, determine whether the triangle is right-angled triangle.
Answer» If the sides of a triangle are 3 cm, 4 cm and 6 cm long, determine whether the triangle is right-angled triangle.

Discussion

2.	If a mode exceeds a mean by 12, then the mode exceeds median by ___________.
Answer» If a mode exceeds a mean by 12, then the mode exceeds median by ___________.

Discussion

3.	A person purchases the following items from a mall for which the sales tax is mentioned against:(a) Stationary materials for Rs 250 and sales tax of 4% there on;(b) Electronic goods worth Rs 2,580 and sales tax of 10% there on;(c) Groceries worth Rs 1,200 on which sales tax of 3% is levied;(d) Medicines worth Rs 200 with sales tax of 6%.Find the bill amount for each item
Answer» A person purchases the following items from a mall for which the sales tax is mentioned against: (a) Stationary materials for Rs 250 and sales tax of 4% there on; (b) Electronic goods worth Rs 2,580 and sales tax of 10% there on; (c) Groceries worth Rs 1,200 on which sales tax of 3% is levied; (d) Medicines worth Rs 200 with sales tax of 6%. Find the bill amount for each item

3.

A person purchases the following items from a mall for which the sales tax is mentioned against:(a) Stationary materials for Rs 250 and sales tax of 4% there on;(b) Electronic goods worth Rs 2,580 and sales tax of 10% there on;(c) Groceries worth Rs 1,200 on which sales tax of 3% is levied;(d) Medicines worth Rs 200 with sales tax of 6%.Find the bill amount for each item

Answer»

A person purchases the following items from a mall for which the sales tax is mentioned against:

(a) Stationary materials for Rs 250 and sales tax of 4% there on;

(b) Electronic goods worth Rs 2,580 and sales tax of 10% there on;

(c) Groceries worth Rs 1,200 on which sales tax of 3% is levied;

(d) Medicines worth Rs 200 with sales tax of 6%.

Find the bill amount for each item

Discussion

4.	Question 2 It is given that ΔDEF∼ΔRPQ. Is it true to say that ∠D=∠R and ∠F=∠P? why?
Answer» Question 2 It is given that $Δ D E F \sim Δ R P Q$ . Is it true to say that $∠ D = ∠ R a n d ∠ F = ∠ P ?$ why?

Discussion

5.	If x^2 + 3 is greater than equal to 0 and x^2+4 is greater than equal to zero then x belongs to:
Answer» If x^2 + 3 is greater than equal to 0 and x^2+4 is greater than equal to zero then x belongs to:

Discussion

6.	44. How many angles 109^° 28' are present in tetrahedral geometry?
Answer» 44. How many angles 109^° 28' are present in tetrahedral geometry?

Discussion

7.	Question 5: Illustrate the following, if possible, with a rough diagram:A polygon with two sides.
Answer» Question 5: Illustrate the following, if possible, with a rough diagram: A polygon with two sides.

Discussion

8.	What are the three consecutive numbers that we should start with to get 100 on the top ?
Answer» What are the three consecutive numbers that we should start with to get 100 on the top ?

8.

What are the three consecutive numbers that we should start with to get 100 on the top ?

Answer»

What are the three consecutive numbers that we should start with to get 100 on the top ?

Discussion

9.	Simplify :(−23)8×(−23)5×729 [3 MARKS]
Answer» Simplify : $(\frac{- 2}{3})^{8} \times (\frac{- 2}{3})^{5} \times 729$ [3 MARKS]

Discussion

10.	If mean of and is 11, find the mean of first three observations.
Answer» If mean of and is 11, find the mean of first three observations.

Discussion

11.	A shopkeeper sold two bats which have a cost price of ₹6,000 each. He makes a profit of 10% on one bat but a loss of 5% on the other bat. Find the overall profit or loss in the entire transaction.
Answer» A shopkeeper sold two bats which have a cost price of ₹6,000 each. He makes a profit of 10% on one bat but a loss of 5% on the other bat. Find the overall profit or loss in the entire transaction.

Discussion

12.	In the figure if l ║ m, n ║ p and 1 = 85o, then 2 is equal to.
Answer» In the figure if l ║ m, n ║ p and 1 = 85^o, then 2 is equal to.

Discussion

13.	What is the result of m12×m12 ?
Answer» What is the result of $m^{\frac{1}{2}} \times m^{\frac{1}{2}}$ ?

Discussion

14.	Find the measure of ∠B.
Answer» Find the measure of $∠ B$ .

14.

Find the measure of ∠B.

Answer»

Find the measure of $∠ B$ .

Discussion

15.	Question 53 If one angle of a triangle is kept fixed, then the measure of the remaining two angles vary inversely with each other.
Answer» Question 53 If one angle of a triangle is kept fixed, then the measure of the remaining two angles vary inversely with each other.

15.

Question 53 If one angle of a triangle is kept fixed, then the measure of the remaining two angles vary inversely with each other.

Answer»

Question 53

If one angle of a triangle is kept fixed, then the measure of the remaining two angles vary inversely with each other.

Discussion

16.	The set of all possible outcomes of a random experiment is called the ________
Answer» The set of all possible outcomes of a random experiment is called the ________

Discussion

17.	Simplify: 314×4832×2815×40241
Answer» $Simplify: \frac{3}{14} \times \frac{48}{32} \times \frac{28}{15} \times \frac{40}{24}$ 1

Discussion

18.	6x4+18x3−3x23x2 =
Answer» $\frac{6 x^{4} + 18 x^{3} - 3 x^{2}}{3 x^{2}}$ =

Discussion

19.	At Srinagar temperature was −5∘C on Monday and then it dropped by 2∘C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4∘C. What was the temperature on Wednesday?
Answer» At Srinagar temperature was $- 5^{\circ} C$ on Monday and then it dropped by $2^{\circ} C$ on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by $4^{\circ} C$ . What was the temperature on Wednesday?

Discussion

20.	Find a and b 142+a2=b2
Answer» Find a and b $14^{2} + a^{2} = b^{2}$

20.

Find a and b 142+a2=b2

Answer»

Find a and b

$14^{2} + a^{2} = b^{2}$

Discussion

21.	In the given figure, P point G is the point of concurrence of the medians of ∆ PQR . If GT = 2.5, find the lengths of PG and PT.
Answer» In the given figure, P point G is the point of concurrence of the medians of $∆$ PQR . If GT = 2.5, find the lengths of PG and PT.

Discussion

22.	Factorise: x4−(x−4)4
Answer» $Factorise: x^{4} - (x - 4)^{4}$

Discussion

23.	Question 6If the area of an equilateral triangle is 16√3cm2, then the perimeter of the triangle is
Answer» Question 6 If the area of an equilateral triangle is $16 \sqrt{3} c m^{2}$ , then the perimeter of the triangle is

Discussion

24.	a) Which class has the highest frequency? b) If Sachin scores 20 then in which interval will he be placed in? c) What is the upper-class limit of the class interval 10-20? RunsCricketers0−101010−20320−301430−402540−5011
Answer» a) Which class has the highest frequency? b) If Sachin scores 20 then in which interval will he be placed in? c) What is the upper-class limit of the class interval 10-20? $\begin{matrix} R u n s & C r i c k e t e r s 0 - 10 & 10 10 - 20 & 3 20 - 30 & 14 30 - 40 & 25 40 - 50 & 11 \end{matrix}$

Discussion

25.	A gardener has 1000 plants. He wants to plan these in such a way that the number of rows and number of columns remain same. Find the minimum number of plants he needs more for this.
Answer» A gardener has 1000 plants. He wants to plan these in such a way that the number of rows and number of columns remain same. Find the minimum number of plants he needs more for this.

Discussion

26.	The Marked price of an article is 3500 rupees and value added tax is 8%. A shopkeeper allows a discount of 20%and still makes a profit of 10%. Find the original cost price of the article and the selling price including VAT.
Answer» The Marked price of an article is 3500 rupees and value added tax is 8%. A shopkeeper allows a discount of 20%and still makes a profit of 10%. Find the original cost price of the article and the selling price including VAT.

Discussion

27.	Write the set A={1,4,9,16,25,...} in set-builder form.
Answer» Write the set $A = {1, 4, 9, 16, 25, . . .}$ in set-builder form.

Discussion

28.	Find the number of terms in the expansion of a+b+cn.
Answer» Find the number of terms in the expansion of ${(a + b + c)}^{n}$ .

Discussion

29.	Question 7A cone is cut through a plane parallel to its base and then the cone that is formed on one side of that plane is removed. The new part that is left over on the other side of the plane is called(A) a frustum of a cone(B) cone(C) cylinder(D) sphere
Answer» Question 7 A cone is cut through a plane parallel to its base and then the cone that is formed on one side of that plane is removed. The new part that is left over on the other side of the plane is called (A) a frustum of a cone (B) cone (C) cylinder (D) sphere

Discussion

30.	Question 57 The additive inverse of 12 is -2
Answer» Question 57 The additive inverse of $\frac{1}{2}$ is -2

Discussion

31.	Find the degree of the equation : x² – 2x + 1 = x² – 3.
Answer» Find the degree of the equation : x² – 2x + 1 = x² – 3.

Discussion

32.	What is drawn in the first step in constructing a quadrilateral for which 2 sides and 3 angles are known?
Answer» What is drawn in the first step in constructing a quadrilateral for which 2 sides and 3 angles are known?

Discussion

33.	Question 140 The ratio between exterior angle and interior angle of a regular polygon is 1 : 5. Find the number of sides of the polygon.
Answer» Question 140 The ratio between exterior angle and interior angle of a regular polygon is 1 : 5. Find the number of sides of the polygon.

Discussion

34.	The histogram given below shows the number of literate females in the age group of 10 to 40 years. Study the histogram carefully and answer the question that follow:(i) Write the classes, assuming that all the classes are of equal width.(ii) What is the class width?(iii) In which age group are the literate females the least?(iv) In which age group is the number of literate females the highest?Hint. Number of class intervals of equal width = 6 (given), class width = 40-106=5.
Answer» The histogram given below shows the number of literate females in the age group of 10 to 40 years. Study the histogram carefully and answer the question that follow: (i) Write the classes, assuming that all the classes are of equal width. (ii) What is the class width? (iii) In which age group are the literate females the least? (iv) In which age group is the number of literate females the highest? Hint. Number of class intervals of equal width = 6 (given), class width = $\frac{(40 - 10)}{6} = 5 .$

Discussion

35.	A recipe for a particular type of muffins requires 1 cup of milk and 1.5 cups of chocolates. Riya has 7.5 cups of chocolates. If she is using the recipe as a guide, how many cups of milk will she need to prepare muffins?
Answer» A recipe for a particular type of muffins requires 1 cup of milk and 1.5 cups of chocolates. Riya has 7.5 cups of chocolates. If she is using the recipe as a guide, how many cups of milk will she need to prepare muffins?

35.

A recipe for a particular type of muffins requires 1 cup of milk and 1.5 cups of chocolates. Riya has 7.5 cups of chocolates. If she is using the recipe as a guide, how many cups of milk will she need to prepare muffins?

Answer»

A recipe for a particular type of muffins requires 1 cup of milk and 1.5 cups of chocolates. Riya has 7.5 cups of chocolates. If she is using the recipe as a guide, how many cups of milk will she need to prepare muffins?

Discussion

36.	Find the amount which Ram will get on Rs 4,096 if he gave it for 18 months at 1212% per annum and interest is compounded half yearly.
Answer» Find the amount which Ram will get on Rs 4,096 if he gave it for 18 months at $12 \frac{1}{2} %$ per annum and interest is compounded half yearly.

Discussion

37.	What does the following exclamatory sentence express? It’s a trap!
Answer» What does the following exclamatory sentence express? It’s a trap!

37.

What does the following exclamatory sentence express? It’s a trap!

Answer»

What does the following exclamatory sentence express?

It’s a trap!

Discussion

38.	Question 1(viii) Using laws of exponents, simplify and write the answer in exponential form: (viii) (34)3
Answer» Question 1(viii) Using laws of exponents, simplify and write the answer in exponential form: (viii) $(3^{4})^{3}$

Discussion

39.	Question 1(iii)Factorise the following expressions25m2+30m+9
Answer» Question 1(iii) Factorise the following expressions $25 m^{2} + 30 m + 9$

Discussion

40.	Question 69 The areas of two circles are in the ratio 49 : 64. Find the ratio of their circumferences.
Answer» Question 69 The areas of two circles are in the ratio 49 : 64. Find the ratio of their circumferences.

40.

Question 69 The areas of two circles are in the ratio 49 : 64. Find the ratio of their circumferences.

Answer»

Question 69

The areas of two circles are in the ratio 49 : 64. Find the ratio of their circumferences.

Discussion

41.	A principal of ₹ 40,000 is compound annually at the rate of 10% for 2 years. What is the compound interest?
Answer» A principal of ₹ 40,000 is compound annually at the rate of 10% for 2 years. What is the compound interest?

Discussion

42.	A circular track is made for running exercises whose center is always 70 m away from the person who is running on the circular track. How many rounds are required for the runner to complete 1.760 Km running ?(π=227)
Answer» A circular track is made for running exercises whose center is always $70$ m away from the person who is running on the circular track. How many rounds are required for the runner to complete $1.760$ Km running ? $(π = \frac{22}{7})$

Discussion

43.	Question 21The point whose ordinate is 4 and which lies on y-axis isA) (4,0)B) (0,4)C) (1,4)D) (4,2)
Answer» Question 21 The point whose ordinate is 4 and which lies on y-axis is A) (4,0) B) (0,4) C) (1,4) D) (4,2)

Discussion

44.	The area of a rhombusvis 240 and one diagonal is 16 fine the other diagonal
Answer» The area of a rhombusvis 240 and one diagonal is 16 fine the other diagonal

Discussion

45.	Verify the property x×(y×z)=(x×y)×z of rational numbers by usingx=0,y=12 and z=14and what is the name of this property?
Answer» Verify the property $x \times (y \times z) = (x \times y) \times z$ of rational numbers by using $x = 0, y = \frac{1}{2}$ and $z = \frac{1}{4}$ and what is the name of this property?

Discussion

46.	The kind of graph the following figure represents is a __ graph
Answer» The kind of graph the following figure represents is a __ graph

46.

The kind of graph the following figure represents is a __ graph

Answer»

The kind of graph the following figure represents is a __ graph

Discussion

47.	Find the value of 3√5×3√50×3√500.
Answer» Find the value of $\sqrt[3]{5} \times \sqrt[3]{50} \times \sqrt[3]{500}$ .

Discussion

48.	The sum of a three digit number and the number formed by the reversal of its digits (if for both the numbers middle digit is 0) is always divisible by_____.
Answer» The sum of a three digit number and the number formed by the reversal of its digits (if for both the numbers middle digit is 0) is always divisible by_____.

Discussion

49.	What is the least number by which 30375 should be mutliplied to get a perfect cube?
Answer» What is the least number by which 30375 should be mutliplied to get a perfect cube?

Discussion

50.	The sides of a triangle are in the ratio 3 : 4 : 5. The longest side is 12 cm longer than the shortest side.Find the length of the shortest side.
Answer» The sides of a triangle are in the ratio 3 : 4 : 5. The longest side is 12 cm longer than the shortest side. Find the length of the shortest side.

50.

The sides of a triangle are in the ratio 3 : 4 : 5. The longest side is 12 cm longer than the shortest side.Find the length of the shortest side.

Answer»

The sides of a triangle are in the ratio 3 : 4 : 5. The longest side is 12 cm longer than the shortest side.

Find the length of the shortest side.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If the sides of a triangle are 3 cm, 4 cm and 6 cm long, determine whether the triangle is right-angled triangle.

If a mode exceeds a mean by 12, then the mode exceeds median by ___________.

Question 2 It is given that ΔDEF∼ΔRPQ. Is it true to say that ∠D=∠R and ∠F=∠P? why?

If x^2 + 3 is greater than equal to 0 and x^2+4 is greater than equal to zero then x belongs to:

44. How many angles 109^° 28' are present in tetrahedral geometry?

Question 5: Illustrate the following, if possible, with a rough diagram:A polygon with two sides.

What are the three consecutive numbers that we should start with to get 100 on the top ?

Simplify :(−23)8×(−23)5×729 [3 MARKS]

If mean of and is 11, find the mean of first three observations.

A shopkeeper sold two bats which have a cost price of ₹6,000 each. He makes a profit of 10% on one bat but a loss of 5% on the other bat. Find the overall profit or loss in the entire transaction.

In the figure if l ║ m, n ║ p and 1 = 85o, then 2 is equal to.

What is the result of m12×m12 ?

Find the measure of ∠B.

Question 53 If one angle of a triangle is kept fixed, then the measure of the remaining two angles vary inversely with each other.

The set of all possible outcomes of a random experiment is called the ________

Simplify: 314×4832×2815×40241

6x4+18x3−3x23x2 =

At Srinagar temperature was −5∘C on Monday and then it dropped by 2∘C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4∘C. What was the temperature on Wednesday?

Find a and b 142+a2=b2

In the given figure, P point G is the point of concurrence of the medians of ∆ PQR . If GT = 2.5, find the lengths of PG and PT.

Factorise: x4−(x−4)4

Question 6If the area of an equilateral triangle is 16√3cm2, then the perimeter of the triangle is

a) Which class has the highest frequency? b) If Sachin scores 20 then in which interval will he be placed in? c) What is the upper-class limit of the class interval 10-20? RunsCricketers0−101010−20320−301430−402540−5011

A gardener has 1000 plants. He wants to plan these in such a way that the number of rows and number of columns remain same. Find the minimum number of plants he needs more for this.

The Marked price of an article is 3500 rupees and value added tax is 8%. A shopkeeper allows a discount of 20%and still makes a profit of 10%. Find the original cost price of the article and the selling price including VAT.

Write the set A={1,4,9,16,25,...} in set-builder form.

Find the number of terms in the expansion of a+b+cn.

Question 7A cone is cut through a plane parallel to its base and then the cone that is formed on one side of that plane is removed. The new part that is left over on the other side of the plane is called(A) a frustum of a cone(B) cone(C) cylinder(D) sphere

Question 57 The additive inverse of 12 is -2

Find the degree of the equation : x² – 2x + 1 = x² – 3.

What is drawn in the first step in constructing a quadrilateral for which 2 sides and 3 angles are known?

Question 140 The ratio between exterior angle and interior angle of a regular polygon is 1 : 5. Find the number of sides of the polygon.

A recipe for a particular type of muffins requires 1 cup of milk and 1.5 cups of chocolates. Riya has 7.5 cups of chocolates. If she is using the recipe as a guide, how many cups of milk will she need to prepare muffins?

Find the amount which Ram will get on Rs 4,096 if he gave it for 18 months at 1212% per annum and interest is compounded half yearly.

What does the following exclamatory sentence express? It’s a trap!

Question 1(viii) Using laws of exponents, simplify and write the answer in exponential form: (viii) (34)3

Question 1(iii)Factorise the following expressions25m2+30m+9

Question 69 The areas of two circles are in the ratio 49 : 64. Find the ratio of their circumferences.

A principal of ₹ 40,000 is compound annually at the rate of 10% for 2 years. What is the compound interest?

A circular track is made for running exercises whose center is always 70 m away from the person who is running on the circular track. How many rounds are required for the runner to complete 1.760 Km running ?(π=227)

Question 21The point whose ordinate is 4 and which lies on y-axis isA) (4,0)B) (0,4)C) (1,4)D) (4,2)

The area of a rhombusvis 240 and one diagonal is 16 fine the other diagonal

Verify the property x×(y×z)=(x×y)×z of rational numbers by usingx=0,y=12 and z=14and what is the name of this property?

The kind of graph the following figure represents is a __ graph

Find the value of 3√5×3√50×3√500.

The sum of a three digit number and the number formed by the reversal of its digits (if for both the numbers middle digit is 0) is always divisible by_____.

What is the least number by which 30375 should be mutliplied to get a perfect cube?

The sides of a triangle are in the ratio 3 : 4 : 5. The longest side is 12 cm longer than the shortest side.Find the length of the shortest side.