25365 + Interview Questions in Mathematics

1.	Evaluate: √7056
Answer» Evaluate: $\sqrt{7056}$

Discussion

2.	Which graph is suitable for a discontinuous distribution with class intervals? __
Answer» Which graph is suitable for a discontinuous distribution with class intervals? __

Discussion

3.	Solve equation, given below, using factorisation method: 2(x2−6)=3(x−4)
Answer» Solve equation, given below, using factorisation method: $2 (x^{2} - 6) = 3 (x - 4)$

3.

Solve equation, given below, using factorisation method: 2(x2−6)=3(x−4)

Answer»

Solve equation, given below, using factorisation method:

$2 (x^{2} - 6) = 3 (x - 4)$

Discussion

4.	x2-y2/100
Answer» x²-y²/100

Discussion

5.	There is a park with two triangular jogging tracks. Rahul and his friend Arjun are jogging. The park has a route map which mentioned that the sides of jogging tracks with the same color have the same length and nothing is mentioned about different colored sides. Both of them started jogging at 7 AM on different tracks. Rahul finished his jogging at 7:40 AM. At what time will Arjun finish his jogging if both of them are jogging at the same speed?
Answer» There is a park with two triangular jogging tracks. Rahul and his friend Arjun are jogging. The park has a route map which mentioned that the sides of jogging tracks with the same color have the same length and nothing is mentioned about different colored sides. Both of them started jogging at 7 AM on different tracks. Rahul finished his jogging at 7:40 AM. At what time will Arjun finish his jogging if both of them are jogging at the same speed?

5.

There is a park with two triangular jogging tracks. Rahul and his friend Arjun are jogging. The park has a route map which mentioned that the sides of jogging tracks with the same color have the same length and nothing is mentioned about different colored sides. Both of them started jogging at 7 AM on different tracks. Rahul finished his jogging at 7:40 AM. At what time will Arjun finish his jogging if both of them are jogging at the same speed?

Answer»

There is a park with two triangular jogging tracks. Rahul and his friend Arjun are jogging. The park has a route map which mentioned that the sides of jogging tracks with the same color have the same length and nothing is mentioned about different colored sides.

Both of them started jogging at 7 AM on different tracks. Rahul finished his jogging at 7:40 AM. At what time will Arjun finish his jogging if both of them are jogging at the same speed?

Discussion

6.	Match the volume of following solids
Answer» Match the volume of following solids

Discussion

7.	What is the Pythagorean triplet of root 2?
Answer» What is the Pythagorean triplet of root 2?

Discussion

8.	Solve the equation 0.4z−31.5z+9 = −75
Answer» Solve the equation $\frac{0.4 z - 3}{1.5 z + 9}$ = $\frac{- 7}{5}$

Discussion

9.	The difference between compound interest and simple interest on an amount of Rs 15000 for 2 years is rupees 96 what is the rate of interest per annum
Answer» The difference between compound interest and simple interest on an amount of Rs 15000 for 2 years is rupees 96 what is the rate of interest per annum

Discussion

10.	A river 2m deep and 45m wide is flowing at the rate of 3km/h. Find the quantity of the water that runs into the sea per minute
Answer» A river 2m deep and 45m wide is flowing at the rate of 3km/h. Find the quantity of the water that runs into the sea per minute

Discussion

11.	Question 8 Is 89 the multiplicative inverse of −118? Why or why not?
Answer» Question 8 Is $\frac{8}{9}$ the multiplicative inverse of $- 1 \frac{1}{8}$ ? Why or why not?

Discussion

12.	(589)2 = (250 + 89) x 1000 + ________
Answer» (589)² = (250 + 89) x 1000 + ________

12.

(589)2 = (250 + 89) x 1000 + ________

Answer»

(589)² = (250 + 89) x 1000 + ________

Discussion

13.	The square of the number 499 is ____.
Answer» The square of the number 499 is ____.

Discussion

14.	The product of 47 x 53 can be solved using the identity
Answer» The product of 47 x 53 can be solved using the identity

Discussion

15.	The width of typical human hair strand is 0.012 cm which is equal to .
Answer» The width of typical human hair strand is 0.012 cm which is equal to .

Discussion

16.	A can do a piece of work in 10 days and B in 15 days. How long will they take together to finish it?
Answer» A can do a piece of work in 10 days and B in 15 days. How long will they take together to finish it?

Discussion

17.	If 4x = 40 then 3x =
Answer» If 4x = 40 then 3x =

17.

If 4x = 40 then 3x =

Answer»

If 4x = 40 then 3x =

Discussion

18.	Question 97 0 is whole number but it is not a rational number
Answer» Question 97 0 is whole number but it is not a rational number

Discussion

19.	Given a base angle B and the difference of the sides AC and AB (not necessarily in this order), what is the difference in the steps of constructions when i) AC > AB ii) AC < AB
Answer» Given a base angle B and the difference of the sides AC and AB (not necessarily in this order), what is the difference in the steps of constructions when i) AC $>$ AB ii) AC $<$ AB

19.

Given a base angle B and the difference of the sides AC and AB (not necessarily in this order), what is the difference in the steps of constructions when i) AC > AB ii) AC < AB

Answer»

Given a base angle B and the difference of the sides AC and AB (not necessarily in this order), what is the difference in the steps of constructions when

i) AC $>$ AB

ii) AC $<$ AB

Discussion

20.	Evaluate : (i) 8! (ii) 4! - 3!
Answer» Evaluate : (i) 8! (ii) 4! - 3!

Discussion

21.	Shopkeeper gives 8% discount on a refrigerator.If the list price of refrigerator is ₹15500,find the amount which a customer had to pay to buy the refrigerator. If the rate of GST is 28%
Answer» Shopkeeper gives 8% discount on a refrigerator.If the list price of refrigerator is ₹15500,find the amount which a customer had to pay to buy the refrigerator. If the rate of GST is 28%

Discussion

22.	The population of a town increases at the rate of 50 per thousand. Its population after 2 years will be 22050. Find its present population.
Answer» The population of a town increases at the rate of 50 per thousand. Its population after 2 years will be 22050. Find its present population.

Discussion

23.	If 9 kg of sugar costs Rs. 166.50, how much sugar can be bought for Rs. 259 ?
Answer» If 9 kg of sugar costs Rs. 166.50, how much sugar can be bought for Rs. 259 ?

Discussion

24.	What can be said about the profit of the company (from the following data) which sells tablets? MonthJanuaryFebruaryMarchAprilMayNo. of tablets solds11009816451234990
Answer» What can be said about the profit of the company (from the following data) which sells tablets? $\begin{matrix} Month & January & February & March & April & May No. of tablets solds & 1100 & 981 & 645 & 1234 & 990 \end{matrix}$

24.

What can be said about the profit of the company (from the following data) which sells tablets? MonthJanuaryFebruaryMarchAprilMayNo. of tablets solds11009816451234990

Answer»

What can be said about the profit of the company (from the following data) which sells tablets?

$\begin{matrix} Month & January & February & March & April & May No. of tablets solds & 1100 & 981 & 645 & 1234 & 990 \end{matrix}$

Discussion

25.	By what numbers should each of the following be divided to get a perfect square in each case? Also find the number whose square is the new number? (i) 16562 (ii) 3698 (iii) 5103 (iv) 3174 (v) 1575
Answer» By what numbers should each of the following be divided to get a perfect square in each case? Also find the number whose square is the new number? (i) 16562 (ii) 3698 (iii) 5103 (iv) 3174 (v) 1575

Discussion

26.	Factorise : a3−a2+a
Answer» Factorise : $a^{3} - a^{2} + a$

26.

Factorise : a3−a2+a

Answer»

Factorise :

$a^{3} - a^{2} + a$

Discussion

27.	Evaluate : (i) (8)3 (ii) (15)3 (iii) (21)3 (iv) (60)3
Answer» Evaluate : (i) $(8)^{3}$ (ii) $(15)^{3}$ (iii) $(21)^{3}$ (iv) $(60)^{3}$

Discussion

28.	What per cent of 10 kg is 250 g? (a) 25% (b)5% (c)10% (d)2.5%
Answer» What per cent of 10 kg is 250 g? (a) $25 %$ (b) $5 %$ (c) $10 %$ (d) $2.5 %$

Discussion

29.	In the following figure if AC =EB, then the side AD is congruent to
Answer» In the following figure if AC =EB, then the side AD is congruent to

29.

In the following figure if AC =EB, then the side AD is congruent to

Answer»

In the following figure if AC =EB, then the side AD is congruent to

Discussion

30.	If a+b+c=9 and ab+bc+ca=40. Find the value of a2+b2+c2.
Answer» If $a + b + c = 9$ and $a b + b c + c a = 40$ . Find the value of $a^{2} + b^{2} + c^{2}$ .

Discussion

31.	In the given equilateral triangle ABC, AP is the median in triangle ABC. Find the value of angle PAC.
Answer» In the given equilateral triangle ABC, AP is the median in triangle ABC. Find the value of angle PAC.

Discussion

32.	Rewrite the following statement with "if-then ”in five different ways conveying the same meaning. If a natural number is odd then its square is also odd.
Answer» Rewrite the following statement with "if-then ”in five different ways conveying the same meaning. If a natural number is odd then its square is also odd.

Discussion

33.	Factorise by grouping method: y2−(a+b)y+ab
Answer» Factorise by grouping method: $y^{2} - (a + b) y + a b$

33.

Factorise by grouping method: y2−(a+b)y+ab

Answer»

Factorise by grouping method:

$y^{2} - (a + b) y + a b$

Discussion

34.	A transformation that turns the object about a fixed point in a given direction is called
Answer» A transformation that turns the object about a fixed point in a given direction is called

Discussion

35.	Factorise by taking out the common factors: ab(a2+b2−c2)−bc(c2−a2−b2)+ca(a2+b2−c2)
Answer» Factorise by taking out the common factors: $a b (a^{2} + b^{2} - c^{2}) - b c (c^{2} - a^{2} - b^{2}) + c a (a^{2} + b^{2} - c^{2})$

35.

Factorise by taking out the common factors: ab(a2+b2−c2)−bc(c2−a2−b2)+ca(a2+b2−c2)

Answer»

Factorise by taking out the common factors:

$a b (a^{2} + b^{2} - c^{2}) - b c (c^{2} - a^{2} - b^{2}) + c a (a^{2} + b^{2} - c^{2})$

Discussion

36.	The value of 52−5 is equal to:
Answer» The value of $5^{2} - 5$ is equal to:

Discussion

37.	The area of a rhombus is equal to the area of triangle whose base and the corresponding altitude are 24.8 cm and 16.5 cm respectively.If one of the diagonals of the rhombus is 22 cm, find the length of the other diagonal.
Answer» The area of a rhombus is equal to the area of triangle whose base and the corresponding altitude are 24.8 cm and 16.5 cm respectively.If one of the diagonals of the rhombus is 22 cm, find the length of the other diagonal.

37.

The area of a rhombus is equal to the area of triangle whose base and the corresponding altitude are 24.8 cm and 16.5 cm respectively.If one of the diagonals of the rhombus is 22 cm, find the length of the other diagonal.

Answer»

The area of a rhombus is equal to the area of triangle whose base and the corresponding altitude are 24.8 cm and 16.5 cm respectively.If one of the diagonals of the rhombus is 22 cm, find the length of the other diagonal.

Discussion

38.	If 5t - 3 = 3t - 5, then t = ? (a) 1 (b) -1 (c) 2 (d) -2
Answer» If 5t - 3 = 3t - 5, then t = ? (a) 1 (b) -1 (c) 2 (d) -2

38.

If 5t - 3 = 3t - 5, then t = ? (a) 1 (b) -1 (c) 2 (d) -2

Answer»

If 5t - 3 = 3t - 5, then t = ?

(a) 1

(b) -1

(c) 2

(d) -2

Discussion

39.	Question 140(ii) Consider a quantity of a radioactive substance. The fraction of this quantity that remains after t half-lives can be found by using the expression 3−t. After how many half-lives will the fraction be 1243 of the original?
Answer» Question 140(ii) Consider a quantity of a radioactive substance. The fraction of this quantity that remains after t half-lives can be found by using the expression $3^{- t}$ . After how many half-lives will the fraction be $\frac{1}{243}$ of the original?

39.

Question 140(ii) Consider a quantity of a radioactive substance. The fraction of this quantity that remains after t half-lives can be found by using the expression 3−t. After how many half-lives will the fraction be 1243 of the original?

Answer»

Question 140(ii)

Consider a quantity of a radioactive substance. The fraction of this quantity that remains after t half-lives can be found by using the expression $3^{- t}$ .
After how many half-lives will the fraction be $\frac{1}{243}$ of the original?

Discussion

40.	Question 92 (xv) Factorise the following using the identity a2−b2=(a+b)(a−b). x3y9−xy316
Answer» Question 92 (xv) Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$ $\frac{x^{3} y}{9} - \frac{x y^{3}}{16}$

40.

Question 92 (xv) Factorise the following using the identity a2−b2=(a+b)(a−b). x3y9−xy316

Answer»

Question 92 (xv)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$\frac{x^{3} y}{9} - \frac{x y^{3}}{16}$

Discussion

41.	Rakesh lent out Rs. 10000 for 2 years at 20% per annum compounded annually. How much more he could earn if the interest be compounded half-yearly?
Answer» Rakesh lent out Rs. 10000 for 2 years at $20 %$ per annum compounded annually. How much more he could earn if the interest be compounded half-yearly?

Discussion

42.	Factorize the following : 5x−15x2
Answer» Factorize the following : $5 x - 15 x^{2}$

42.

Factorize the following : 5x−15x2

Answer»

Factorize the following :

$5 x - 15 x^{2}$

Discussion

43.	A number is increased by 20% and then is decreased by 20%. Find the net increase or decrease percent?
Answer» A number is increased by $20 %$ and then is decreased by $20 %$ . Find the net increase or decrease percent?

Discussion

44.	What is the number of faces in a hexagonal prism?
Answer» What is the number of faces in a hexagonal prism?

Discussion

45.	If a and b are integers, such that b >a , the a rational number lying between a and the mean of a and b is
Answer» If a and b are integers, such that b >a , the a rational number lying between a and the mean of a and b is

Discussion

46.	The given pictograph shows the votes given by a group of students for their favourite flavour of ice cream. Which two flavors did the students like the least?
Answer» The given pictograph shows the votes given by a group of students for their favourite flavour of ice cream. Which two flavors did the students like the least?

46.

The given pictograph shows the votes given by a group of students for their favourite flavour of ice cream. Which two flavors did the students like the least?

Answer»

The given pictograph shows the votes given by a group of students for their favourite flavour of ice cream. Which two flavors did the students like the least?

Discussion

47.	If y is the reciprocal of a rational number x, then the multiplicative inverse of y will be .
Answer» If y is the reciprocal of a rational number x, then the multiplicative inverse of y will be .

Discussion

48.	Which of the following numbers is not a perfect cube number?
Answer» Which of the following numbers is not a perfect cube number?

Discussion

49.	Which of the following is an example for regular polyhedron?
Answer» Which of the following is an example for regular polyhedron?

Discussion

50.	HCF of two prime numbers will be ___
Answer» HCF of two prime numbers will be ___

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Evaluate: √7056

Which graph is suitable for a discontinuous distribution with class intervals? __

Solve equation, given below, using factorisation method: 2(x2−6)=3(x−4)

x​​​​​​2​​​​​-y​​​2/100

Match the volume of following solids

What is the Pythagorean triplet of root 2?

Solve the equation 0.4z−31.5z+9 = −75

The difference between compound interest and simple interest on an amount of Rs 15000 for 2 years is rupees 96 what is the rate of interest per annum

A river 2m deep and 45m wide is flowing at the rate of 3km/h. Find the quantity of the water that runs into the sea per minute

Question 8 Is 89 the multiplicative inverse of −118? Why or why not?

(589)2 = (250 + 89) x 1000 + ________

The square of the number 499 is ____.

The product of 47 x 53 can be solved using the identity

The width of typical human hair strand is 0.012 cm which is equal to .

A can do a piece of work in 10 days and B in 15 days. How long will they take together to finish it?

If 4x = 40 then 3x =

Question 97 0 is whole number but it is not a rational number

Given a base angle B and the difference of the sides AC and AB (not necessarily in this order), what is the difference in the steps of constructions when i) AC &gt; AB ii) AC &lt; AB

Evaluate : (i) 8! (ii) 4! - 3!

Shopkeeper gives 8% discount on a refrigerator.If the list price of refrigerator is ₹15500,find the amount which a customer had to pay to buy the refrigerator. If the rate of GST is 28%

The population of a town increases at the rate of 50 per thousand. Its population after 2 years will be 22050. Find its present population.

If 9 kg of sugar costs Rs. 166.50, how much sugar can be bought for Rs. 259 ?

What can be said about the profit of the company (from the following data) which sells tablets? MonthJanuaryFebruaryMarchAprilMayNo. of tablets solds11009816451234990

By what numbers should each of the following be divided to get a perfect square in each case? Also find the number whose square is the new number? (i) 16562 (ii) 3698 (iii) 5103 (iv) 3174 (v) 1575

Factorise : a3−a2+a

Evaluate : (i) (8)3 (ii) (15)3 (iii) (21)3 (iv) (60)3

What per cent of 10 kg is 250 g? (a) 25% (b)5% (c)10% (d)2.5%

In the following figure if AC =EB, then the side AD is congruent to

If a+b+c=9 and ab+bc+ca=40. Find the value of a2+b2+c2.

In the given equilateral triangle ABC, AP is the median in triangle ABC. Find the value of angle PAC.

Rewrite the following statement with "if-then ”in five different ways conveying the same meaning. If a natural number is odd then its square is also odd.

Factorise by grouping method: y2−(a+b)y+ab

A transformation that turns the object about a fixed point in a given direction is called

Factorise by taking out the common factors: ab(a2+b2−c2)−bc(c2−a2−b2)+ca(a2+b2−c2)

The value of 52−5 is equal to:

The area of a rhombus is equal to the area of triangle whose base and the corresponding altitude are 24.8 cm and 16.5 cm respectively.If one of the diagonals of the rhombus is 22 cm, find the length of the other diagonal.

If 5t - 3 = 3t - 5, then t = ? (a) 1 (b) -1 (c) 2 (d) -2

Question 140(ii) Consider a quantity of a radioactive substance. The fraction of this quantity that remains after t half-lives can be found by using the expression 3−t. After how many half-lives will the fraction be 1243 of the original?

Question 92 (xv) Factorise the following using the identity a2−b2=(a+b)(a−b). x3y9−xy316

Rakesh lent out Rs. 10000 for 2 years at 20% per annum compounded annually. How much more he could earn if the interest be compounded half-yearly?

Factorize the following : 5x−15x2

A number is increased by 20% and then is decreased by 20%. Find the net increase or decrease percent?

What is the number of faces in a hexagonal prism?

If a and b are integers, such that b &gt;a , the a rational number lying between a and the mean of a and b is

The given pictograph shows the votes given by a group of students for their favourite flavour of ice cream. Which two flavors did the students like the least?

If y is the reciprocal of a rational number x, then the multiplicative inverse of y will be .

Which of the following numbers is not a perfect cube number?

Which of the following is an example for regular polyhedron?

HCF of two prime numbers will be ___

x2-y2/100

Given a base angle B and the difference of the sides AC and AB (not necessarily in this order), what is the difference in the steps of constructions when i) AC > AB ii) AC < AB

If a and b are integers, such that b >a , the a rational number lying between a and the mean of a and b is