25365 + Interview Questions in Mathematics

1.	Length of each side of a cube is increased by 25%. Then the percentage increase in volume will be ___.
Answer» Length of each side of a cube is increased by 25%. Then the percentage increase in volume will be ___.

Discussion

2.	The curved surface area of a cylinder is 1320cm2 and its base has diameter 21 cm. Find the volume of the cylinder.
Answer» The curved surface area of a cylinder is $1320 c m^{2}$ and its base has diameter 21 cm. Find the volume of the cylinder.

Discussion

3.	Which of the following is not an identity?
Answer» Which of the following is not an identity?

Discussion

4.	Evaluate : √14161
Answer» Evaluate : $\sqrt{14161}$

Discussion

5.	Which number should be multiplied to 1575 to make it a square number?
Answer» Which number should be multiplied to 1575 to make it a square number?

Discussion

6.	Prove that the area of the semi-circle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the semi-circles drawn on the other two sides of the triangle.
Answer» Prove that the area of the semi-circle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the semi-circles drawn on the other two sides of the triangle.

Discussion

7.	If 15625=(x)2=5(y) . Find the value of x and y. [3 MARKS]
Answer» If $15625 = (x)^{2} = 5^{(y)}$ . Find the value of $x$ and $y$ . [3 MARKS]

Discussion

8.	Question 5(vii) Factorise the expressions and divide them as directed 39y3(50y2−98)÷26y2(5y+7)
Answer» Question 5(vii) Factorise the expressions and divide them as directed $39 y^{3} (50 y^{2} - 98) \div 26 y^{2} (5 y + 7)$

Discussion

9.	Find the following products and verify the result for x = -1, y = - 2: (3x−5y)(x+y)
Answer» Find the following products and verify the result for x = -1, y = - 2: $(3 x - 5 y) (x + y)$

9.

Find the following products and verify the result for x = -1, y = - 2: (3x−5y)(x+y)

Answer»

Find the following products and verify the result for x = -1, y = - 2:

$(3 x - 5 y) (x + y)$

Discussion

10.	The smallest surface area of a cuboid made up of 12.1 cube cm will be? I'm so sorry but the answer is not matching with my book. In my book the answer is 24 Is the answer wrong or correct?
Answer» The smallest surface area of a cuboid made up of 12.1 cube cm will be? I'm so sorry but the answer is not matching with my book. In my book the answer is 24 Is the answer wrong or correct?

Discussion

11.	Which of the following should be the THIRD sentence after rearrangement?
Answer» Which of the following should be the THIRD sentence after rearrangement?

Discussion

12.	Question 60 State whether the following statement is true or false: There are five perfect cubes between 1 and 100.
Answer» Question 60 State whether the following statement is true or false: There are five perfect cubes between 1 and 100.

12.

Question 60 State whether the following statement is true or false: There are five perfect cubes between 1 and 100.

Answer»

Question 60

State whether the following statement is true or false:

There are five perfect cubes between 1 and 100.

Discussion

13.	Question 89 (iii) Factorise the following, using the identity, a2+2ab+b2=(a+b)2 x2+14x+49
Answer» Question 89 (iii) Factorise the following, using the identity, $a^{2} + 2 a b + b^{2} = (a + b)^{2}$ $x^{2} + 14 x + 49$

Discussion

14.	A trader buys a T.V for Rs. 7000 from Mumbai and sells it in Pune for Rs. 7600. If his overhead expenses amount to Rs. 1000, find his profit or loss in this transaction and express it in percentage.
Answer» A trader buys a T.V for Rs. 7000 from Mumbai and sells it in Pune for Rs. 7600. If his overhead expenses amount to Rs. 1000, find his profit or loss in this transaction and express it in percentage.

Discussion

15.	If 31z5 is a multiple of 9, where z is a digit, what is the value of z? [2 MARKS]
Answer» If 31z5 is a multiple of 9, where z is a digit, what is the value of z? [2 MARKS]

Discussion

16.	If AB∥CD, find the value of x in the following figure.
Answer» If $A B ∥ C D$ , find the value of $x$ in the following figure.

Discussion

17.	Question 65 (i) How many vertices does the following solid have? Cone
Answer» Question 65 (i) How many vertices does the following solid have? Cone

Discussion

18.	Find the equations of direct common tangents for two circles x2 + y2 + 6x − 2y + 1 = 0, x2 + y2 − 2x − 6y + 9 = 0
Answer» Find the equations of direct common tangents for two circles $x^{2} + y^{2} + 6 x - 2 y + 1 = 0,$ $x^{2} + y^{2} - 2 x - 6 y + 9 = 0$

18.

Find the equations of direct common tangents for two circles x2 + y2 + 6x − 2y + 1 = 0, x2 + y2 − 2x − 6y + 9 = 0

Answer»

Find the equations of direct common tangents for two circles

$x^{2} + y^{2} + 6 x - 2 y + 1 = 0,$ $x^{2} + y^{2} - 2 x - 6 y + 9 = 0$

Discussion

19.	Four rational numbers between 3 and 4 are:
Answer» Four rational numbers between $3$ and $4$ are:

Discussion

20.	(a+b)3−(a−b)3 =________
Answer» $(a + b)^{3} - (a - b)^{3}$ =________

Discussion

21.	Find the value of [(3+4–6÷2+2)+(9÷3+6×5)÷11].
Answer» Find the value of $[(3 + 4 - 6 \div 2 + 2) + (9 \div 3 + 6 \times 5) \div 11] .$

Discussion

22.	Which rational number among the given options lies betwen 37 and 48 ?
Answer» Which rational number among the given options lies betwen $\frac{3}{7}$ and $\frac{4}{8}$ ?

Discussion

23.	If 15 men can finish a job in 48 hours, how many men will be required to do the same job in 30 hours. [1 MARK]
Answer» If 15 men can finish a job in 48 hours, how many men will be required to do the same job in 30 hours. [1 MARK]

Discussion

24.	1/5 m of a ribbon is needed to make a flower.How many flower can Shruti make from a 5m ribbon?
Answer» 1/5 m of a ribbon is needed to make a flower.How many flower can Shruti make from a 5m ribbon?

Discussion

25.	If the height of a cylinder becomes one-eighth of the original height and the radius is doubled, then which of the following will be true?
Answer» If the height of a cylinder becomes one-eighth of the original height and the radius is doubled, then which of the following will be true?

Discussion

26.	Rohan and Shalu are playing with 5 cards as shown in the figure. What is the probability of Rohan picking a card without seeing, that has the number 2 on it?
Answer» Rohan and Shalu are playing with 5 cards as shown in the figure. What is the probability of Rohan picking a card without seeing, that has the number 2 on it?

Discussion

27.	529 can certainly be expressed as sum of ______ consecutive natural numbers.
Answer» 529 can certainly be expressed as sum of ______ consecutive natural numbers.

Discussion

28.	Three consecutive integers are such that when they are taken in increasing order and multiplied by 2 3 and 4 respectively they add up to 74 find this numbers
Answer» Three consecutive integers are such that when they are taken in increasing order and multiplied by 2 3 and 4 respectively they add up to 74 find this numbers

Discussion

29.	When we add 5a2b+6ab+7bc+54 and 14ab+8bc+16, we get:
Answer» When we add $5 a^{2} b + 6 a b + 7 b c + 54$ and $14 a b + 8 b c + 16$ , we get:

Discussion

30.	In a quadrilateral PQRS, PQ = 4 cm, QR = 3 cm, RS = 5.9 cm, QS = 4.8 cm and PR = 5.5 cm. Find the value of PS.
Answer» In a quadrilateral PQRS, PQ = 4 cm, QR = 3 cm, RS = 5.9 cm, QS = 4.8 cm and PR = 5.5 cm. Find the value of PS.

Discussion

31.	A man deposited a sum of Rs 400 every month is a recurring deposit account at an interest rate of 8% per annum. If he gets a maturity amount Rs 5008 after the end of maturity period, then the period for which he deposited the amount is ________
Answer» A man deposited a sum of Rs 400 every month is a recurring deposit account at an interest rate of 8 $%$ per annum. If he gets a maturity amount Rs 5008 after the end of maturity period, then the period for which he deposited the amount is ________

Discussion

32.	5929 students are sitting in an auditorium in such a manner that there are as many students in a row as there are rows in the auditorium. How many rows are there in the auditorium? [4 MARKS]
Answer» 5929 students are sitting in an auditorium in such a manner that there are as many students in a row as there are rows in the auditorium. How many rows are there in the auditorium? [4 MARKS]

Discussion

33.	Question 78 The probability of getting a prime number is the same as that of a a composite number in a throw of die ?
Answer» Question 78 The probability of getting a prime number is the same as that of a a composite number in a throw of die ?

33.

Question 78 The probability of getting a prime number is the same as that of a a composite number in a throw of die ?

Answer»

Question 78

The probability of getting a prime number is the same as that of a a composite number in a throw of die ?

Discussion

34.	Find the value of m such that 5m+2 × 54 = 53.
Answer» Find the value of $m$ such that $5^{m + 2}$ $\times$ $5^{4}$ = $5^{3}$ .

Discussion

35.	The base raidus of an iron cylinder is 18 cm and its height is 30 cm. It is melted and recast into a cylinder of base 12 cm. What is the height of the new cylinder ?
Answer» The base raidus of an iron cylinder is 18 cm and its height is 30 cm. It is melted and recast into a cylinder of base 12 cm. What is the height of the new cylinder ?

Discussion

36.	Question 13 If x + y + z = 0, show that x3+y3+z3=3xyz.
Answer» Question 13 If x + y + z = 0, show that $x^{3} + y^{3} + z^{3} = 3 x y z .$

Discussion

37.	In parallelogram ABCD, which of the 2 sides are equal?
Answer» In parallelogram ABCD, which of the 2 sides are equal?

Discussion

38.	Question 29 Fill in the blanks to make the statement true. Total number of faces in a pyramid which has eight edges is ___.
Answer» Question 29 Fill in the blanks to make the statement true. Total number of faces in a pyramid which has eight edges is ___.

Discussion

39.	3X=2X+18
Answer» 3X=2X+18

Discussion

40.	Find the cube of 0.9. [1 MARK]
Answer» Find the cube of 0.9. [1 MARK]

Discussion

41.	The value of a car depricates by 20% every year .If after 2yrs the price of the car is 208000Rs find the original price. I want the complete solution
Answer» The value of a car depricates by 20% every year .If after 2yrs the price of the car is 208000Rs find the original price. I want the complete solution

Discussion

42.	The maximum and minimum values of f (x) = x50-x20 in the interval [0, 1] are
Answer» The maximum and minimum values of f (x) = x⁵⁰-x²⁰ in the interval [0, 1] are

Discussion

43.	The value of a machinery is ₹10,000, which is depreciating at the rate of 15% annually. What will be the value of the machinery after 2 years in rupees?
Answer» The value of a machinery is ₹10,000, which is depreciating at the rate of 15% annually. What will be the value of the machinery after 2 years in rupees?

Discussion

44.

Construct a histogram from the following distribution of the height of students in a class VIII-E. Height in cm (Class Marks) 120 130 140 150 160 170 No. of student 8 11 8 4 2 2

Answer»

Construct a histogram from the following distribution of the height of students in a class VIII-E.

Height in cm (Class Marks)	120	130	140	150	160	170
No. of student	8	11	8	4	2	2

Discussion

45.	The side of a cube whose volume is 9261000 m3 is _______.
Answer» The side of a cube whose volume is $9261000 m^{3}$ is _______.

Discussion

46.	A multiple choice question consists of the question, called the stem, and several answer choices. Common types of questions are true/false, odd one out, negative, best answer, and multiple and combined answer questions. 123123√232132+213123/123123123
Answer» A multiple choice question consists of the question, called the stem, and several answer choices. Common types of questions are true/false, odd one out, negative, best answer, and multiple and combined answer questions. 123123√232132+213123/123123123

Discussion

47.	Two dice are thrown together. What is the probability of a combination in which the sum of the numbers on the two faces is divisible by 4 or 6?
Answer» Two dice are thrown together. What is the probability of a combination in which the sum of the numbers on the two faces is divisible by 4 or 6?

Discussion

48.	Anita thinks of a number and subtracts 32 from it. She multiplies the result by 8. The result now obtained is 5 times the same number she thought of. What is the number she thought of ?
Answer» Anita thinks of a number and subtracts $\frac{3}{2}$ from it. She multiplies the result by 8. The result now obtained is 5 times the same number she thought of. What is the number she thought of ?

Discussion

49.	If 27 of 21 bananas are spoilt, then how many are left?
Answer» If $\frac{2}{7}$ of 21 bananas are spoilt, then how many are left?

Discussion

50.

In the given figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extrapolated to point P and the value of ∠EDP and ∠EDB are n and m respectively. Then, the values of n and m are and _ respectively.

Answer»

In the given figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extrapolated to point P and the value of $∠$ EDP and $∠$ EDB are n and m respectively. Then, the values of n and m are ______ and _______ respectively.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Length of each side of a cube is increased by 25%. Then the percentage increase in volume will be ___.

The curved surface area of a cylinder is 1320cm2 and its base has diameter 21 cm. Find the volume of the cylinder.

Which of the following is not an identity?

Evaluate : √14161

Which number should be multiplied to 1575 to make it a square number?

Prove that the area of the semi-circle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the semi-circles drawn on the other two sides of the triangle.

If 15625=(x)2=5(y) . Find the value of x and y. [3 MARKS]

Question 5(vii) Factorise the expressions and divide them as directed 39y3(50y2−98)÷26y2(5y+7)

Find the following products and verify the result for x = -1, y = - 2: (3x−5y)(x+y)

The smallest surface area of a cuboid made up of 12.1 cube cm will be? I'm so sorry but the answer is not matching with my book. In my book the answer is 24 Is the answer wrong or correct?

Which of the following should be the THIRD sentence after rearrangement?

Question 60 State whether the following statement is true or false: There are five perfect cubes between 1 and 100.

Question 89 (iii) Factorise the following, using the identity, a2+2ab+b2=(a+b)2 x2+14x+49

A trader buys a T.V for Rs. 7000 from Mumbai and sells it in Pune for Rs. 7600. If his overhead expenses amount to Rs. 1000, find his profit or loss in this transaction and express it in percentage.

If 31z5 is a multiple of 9, where z is a digit, what is the value of z? [2 MARKS]

If AB∥CD, find the value of x in the following figure.

Question 65 (i) How many vertices does the following solid have? Cone

Find the equations of direct common tangents for two circles x2 + y2 + 6x − 2y + 1 = 0, x2 + y2 − 2x − 6y + 9 = 0

Four rational numbers between 3 and 4 are:

(a+b)3−(a−b)3 =________

Find the value of [(3+4–6÷2+2)+(9÷3+6×5)÷11].

Which rational number among the given options lies betwen 37 and 48 ?

If 15 men can finish a job in 48 hours, how many men will be required to do the same job in 30 hours. [1 MARK]

1/5 m of a ribbon is needed to make a flower.How many flower can Shruti make from a 5m ribbon?

If the height of a cylinder becomes one-eighth of the original height and the radius is doubled, then which of the following will be true?

Rohan and Shalu are playing with 5 cards as shown in the figure. What is the probability of Rohan picking a card without seeing, that has the number 2 on it?

529 can certainly be expressed as sum of ______ consecutive natural numbers.

Three consecutive integers are such that when they are taken in increasing order and multiplied by 2 3 and 4 respectively they add up to 74 find this numbers

When we add 5a2b+6ab+7bc+54 and 14ab+8bc+16, we get:

In a quadrilateral PQRS, PQ = 4 cm, QR = 3 cm, RS = 5.9 cm, QS = 4.8 cm and PR = 5.5 cm. Find the value of PS.

A man deposited a sum of Rs 400 every month is a recurring deposit account at an interest rate of 8% per annum. If he gets a maturity amount Rs 5008 after the end of maturity period, then the period for which he deposited the amount is ________

5929 students are sitting in an auditorium in such a manner that there are as many students in a row as there are rows in the auditorium. How many rows are there in the auditorium? [4 MARKS]

Question 78 The probability of getting a prime number is the same as that of a a composite number in a throw of die ?

Find the value of m such that 5m+2 × 54 = 53.

The base raidus of an iron cylinder is 18 cm and its height is 30 cm. It is melted and recast into a cylinder of base 12 cm. What is the height of the new cylinder ?

Question 13 If x + y + z = 0, show that x3+y3+z3=3xyz.

In parallelogram ABCD, which of the 2 sides are equal?

Question 29 Fill in the blanks to make the statement true. Total number of faces in a pyramid which has eight edges is ___.

3X=2X+18

Find the cube of 0.9. [1 MARK]

The value of a car depricates by 20% every year .If after 2yrs the price of the car is 208000Rs find the original price. I want the complete solution

The maximum and minimum values of f (x) = x50-x20 in the interval [0, 1] are

The value of a machinery is ₹10,000, which is depreciating at the rate of 15% annually. What will be the value of the machinery after 2 years in rupees?

Construct a histogram from the following distribution of the height of students in a class VIII-E. Height in cm (Class Marks) 120 130 140 150 160 170 No. of student 8 11 8 4 2 2

The side of a cube whose volume is 9261000 m3 is _______.

A multiple choice question consists of the question, called the stem, and several answer choices. Common types of questions are true/false, odd one out, negative, best answer, and multiple and combined answer questions. 123123√232132+213123/123123123

Two dice are thrown together. What is the probability of a combination in which the sum of the numbers on the two faces is divisible by 4 or 6?

Anita thinks of a number and subtracts 32 from it. She multiplies the result by 8. The result now obtained is 5 times the same number she thought of. What is the number she thought of ?

If 27 of 21 bananas are spoilt, then how many are left?

In the given figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extrapolated to point P and the value of ∠EDP and ∠EDB are n and m respectively. Then, the values of n and m are ______ and _______ respectively.

In the given figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extrapolated to point P and the value of ∠EDP and ∠EDB are n and m respectively. Then, the values of n and m are and _ respectively.