25365 + Interview Questions in Mathematics

1.	Find a3−1a3 if a−1a=4
Answer» Find $a^{3} - \frac{1}{a^{3}} i f a - \frac{1}{a} = 4$

Discussion

2.	The difference of two numbers is 3.Their sum is 13.Find the numbers.
Answer» The difference of two numbers is 3.Their sum is 13.Find the numbers.

Discussion

3.	Find the CI on Rs. 10,000 for 2 years at 20% per annum compounded semi - annually.
Answer» Find the CI on Rs. 10,000 for 2 years at 20% per annum compounded semi - annually.

Discussion

4.	Is the number 2 a rational numver and a fraction
Answer» Is the number 2 a rational numver and a fraction

Discussion

5.	In a school 5/8 of the total students are girls. If the number of girls is 120 more than that of the boys , what is the strength of the school ? How many boys are there ?
Answer» In a school 5/8 of the total students are girls. If the number of girls is 120 more than that of the boys , what is the strength of the school ? How many boys are there ?

Discussion

6.	Will angle sum property work if the quadrilateral is not convex
Answer» Will angle sum property work if the quadrilateral is not convex

Discussion

7.	Why is ab+bc+cd+da a monomial?
Answer» Why is ab+bc+cd+da a monomial?

Discussion

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

Discussion

9.	The number line contains all the real numbers[true/false]
Answer» The number line contains all the real numbers[true/false]

Discussion

10.	3x/x+6-x/x+5=2
Answer» 3x/x+6-x/x+5=2

Discussion

11.	(a + b) and (a - b) are two diagonals of a rhombus; a, b > 0. What is the value of a3+b3, if the area of the rhombus is 30 cm2? Given that one of the diagonal is 6 cm.
Answer» (a + b) and (a - b) are two diagonals of a rhombus; a, b > 0. What is the value of $a^{3} + b^{3}$ , if the area of the rhombus is 30 $c m^{2}$ ? Given that one of the diagonal is 6 cm.

11.

(a + b) and (a - b) are two diagonals of a rhombus; a, b > 0. What is the value of a3+b3, if the area of the rhombus is 30 cm2? Given that one of the diagonal is 6 cm.

Answer»

(a + b) and (a - b) are two diagonals of a rhombus; a, b > 0. What is the value of $a^{3} + b^{3}$ , if the area of the rhombus is 30 $c m^{2}$ ? Given that one of the diagonal is 6 cm.

Discussion

12.	Question 9 (ii) How many numbers lie between squares of the following numbers? 25 and 26
Answer» Question 9 (ii) How many numbers lie between squares of the following numbers? 25 and 26

12.

Question 9 (ii) How many numbers lie between squares of the following numbers? 25 and 26

Answer»

Question 9 (ii)
How many numbers lie between squares of the following numbers?

25 and 26

Discussion

13.	if x^(p).y^(q) = (x+y)^(p+q) , prove that dy/dx = y/x
Answer» if x^(p).y^(q) = (x+y)^(p+q) , prove that dy/dx = y/x

Discussion

14.	Question 8 Water is pouring into a cuboidal reservoir at the rate of 60 litres per minute. If the volume of reservoir is 108 m3 find the number of hours it will take to fill the reservoir.
Answer» Question 8 Water is pouring into a cuboidal reservoir at the rate of 60 litres per minute. If the volume of reservoir is $108 m^{3}$ find the number of hours it will take to fill the reservoir.

Discussion

15.	From the frequency distribution of student marks, tell what is the number of people whose marks is less than 22.5? Class12.5−17.517.5−22.522.5−27.527.5−32.532.5−37.5Frequency222191413
Answer» From the frequency distribution of student marks, tell what is the number of people whose marks is less than 22.5? $\begin{matrix} C l a s s & 12.5 - 17.5 & 17.5 - 22.5 & 22.5 - 27.5 & 27.5 - 32.5 & 32.5 - 37.5 F r e q u e n c y & 2 & 22 & 19 & 14 & 13 \end{matrix}$

15.

From the frequency distribution of student marks, tell what is the number of people whose marks is less than 22.5? Class12.5−17.517.5−22.522.5−27.527.5−32.532.5−37.5Frequency222191413

Answer»

From the frequency distribution of student marks, tell what is the number of people whose marks is less than 22.5?

$\begin{matrix} C l a s s & 12.5 - 17.5 & 17.5 - 22.5 & 22.5 - 27.5 & 27.5 - 32.5 & 32.5 - 37.5 F r e q u e n c y & 2 & 22 & 19 & 14 & 13 \end{matrix}$

Discussion

16.	The mean of the given data is
Answer» The mean of the given data is

Discussion

17.	What will be the result of (−2)3×3(−2)? [3 MARKS]
Answer» What will be the result of $\frac{(- 2)}{3} \times \frac{3}{(- 2)}$ ? [3 MARKS]

Discussion

18.	Question 34 Fill in the blank to make the statement true 729 = __
Answer» Question 34 Fill in the blank to make the statement true 729 = __

18.

Question 34 Fill in the blank to make the statement true 729 = __

Answer»

Question 34

Fill in the blank to make the statement true
729 = __

Discussion

19.	2.2 cubic dm of brass is to be drawn into a cylindrical wire 0.25 cm in diameter. Find the length of the wire.
Answer» $2.2 c u b i c d m$ of brass is to be drawn into a cylindrical wire $0.25 c m$ in diameter. Find the length of the wire.

Discussion

20.	The annual rate of growth in population of a certain city is 8%. If its present population is 196830, what it was 3 years ago?
Answer» The annual rate of growth in population of a certain city is $8 %$ . If its present population is 196830, what it was 3 years ago?

Discussion

21.	3 men or 5 women can do a work in 12 days. How long will 6 men and 5 women take to do it? (a) 6 days (b) 5 days (c) 4 days (d) 3 days
Answer» $3$ men or $5$ women can do a work in $12$ days. How long will $6$ men and $5$ women take to do it? (a) $6$ days (b) $5$ days (c) $4$ days (d) $3$ days

21.

3 men or 5 women can do a work in 12 days. How long will 6 men and 5 women take to do it? (a) 6 days (b) 5 days (c) 4 days (d) 3 days

Answer»

$3$ men or $5$ women can do a work in $12$ days. How long will $6$ men and $5$ women take to do it?

(a) $6$ days

(b) $5$ days

(c) $4$ days

(d) $3$ days

Discussion

22.	Question 19 Factorised form of 23xy−46x+54y−108 is a) (23x+54)(y−2) b) (23x+54y)(y−2) c) (23xy+54y)(−46x−108) d) (23x+54)(y+2)
Answer» Question 19 Factorised form of $23 x y - 46 x + 54 y - 108$ is a) $(23 x + 54) (y - 2)$ b) $(23 x + 54 y) (y - 2)$ c) $(23 x y + 54 y) (- 46 x - 108)$ d) $(23 x + 54) (y + 2)$

Discussion

23.	Multiplication of a number with its reciprocal gives ___.
Answer» Multiplication of a number with its reciprocal gives ___.

Discussion

24.	If x : y = 2 : 5 , then find 3x : 5y.
Answer» If x : y = 2 : 5 , then find 3x : 5y.

Discussion

25.	Question 1(iv) State whether the number given below is a perfect cube or not: 100
Answer» Question 1(iv) State whether the number given below is a perfect cube or not: 100

25.

Question 1(iv) State whether the number given below is a perfect cube or not: 100

Answer»

Question 1(iv)

State whether the number given below is a perfect cube or not:
100

Discussion

26.	The adjacent angles of a parallelogram add upto
Answer» The adjacent angles of a parallelogram add upto

Discussion

27.	If x and y are inversely proportional, find the values of x1,x2,y1 and y2 in the table given below : x8x116x280yy1452y2
Answer» If x and y are inversely proportional, find the values of $x_{1}, x_{2}, y_{1} a n d y_{2}$ in the table given below : $\begin{matrix} x & 8 & x_{1} & 16 & x_{2} & 80 y & y_{1} & 4 & 5 & 2 & y_{2} \end{matrix}$

27.

If x and y are inversely proportional, find the values of x1,x2,y1 and y2 in the table given below : x8x116x280yy1452y2

Answer»

If x and y are inversely proportional, find the values of $x_{1}, x_{2}, y_{1} a n d y_{2}$ in the table given below :

$\begin{matrix} x & 8 & x_{1} & 16 & x_{2} & 80 y & y_{1} & 4 & 5 & 2 & y_{2} \end{matrix}$

Discussion

28.	Question 91 (xii) Factorise the following: p2−13p−30
Answer» Question 91 (xii) Factorise the following: $p^{2} - 13 p - 30$

Discussion

29.	Question 93 Ms Anita has to drive from Jhareda to Ganwari. She measures a distance of 3.5 cm betweeen these village on the map. What is the actual distance between the villages, if the map scale is 1 cm= 10 km?
Answer» Question 93 Ms Anita has to drive from Jhareda to Ganwari. She measures a distance of 3.5 cm betweeen these village on the map. What is the actual distance between the villages, if the map scale is 1 cm= 10 km?

29.

Question 93 Ms Anita has to drive from Jhareda to Ganwari. She measures a distance of 3.5 cm betweeen these village on the map. What is the actual distance between the villages, if the map scale is 1 cm= 10 km?

Answer»

Question 93

Ms Anita has to drive from Jhareda to Ganwari. She measures a distance of 3.5 cm betweeen these village on the map. What is the actual distance between the villages, if the map scale is 1 cm= 10 km?

Discussion

30.	If the division N÷2 leaves no remainder, what might be the units digit of N? [2 MARKS]
Answer» If the division $N \div 2$ leaves no remainder, what might be the units digit of N? [2 MARKS]

Discussion

31.	Find the median of the following data. Class interval0−2020−4040−6060−8080−100Frequency51112139
Answer» Find the median of the following data. $\begin{matrix} C l a s s i n t e r v a l & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 F r e q u e n c y & 5 & 11 & 12 & 13 & 9 \end{matrix}$

31.

Find the median of the following data. Class interval0−2020−4040−6060−8080−100Frequency51112139

Answer»

Find the median of the following data.

$\begin{matrix} C l a s s i n t e r v a l & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 F r e q u e n c y & 5 & 11 & 12 & 13 & 9 \end{matrix}$

Discussion

32.	A paper bag contains 15 slips of paper 8 of them and blue and a are numbered from 1 to 8.seven of them are pink and are numbered From 1 to 7 you wish to draw blue slip on the first draw and a pink slip on II draw the first slip is not replaced after being drawn .are these events independent??
Answer» A paper bag contains 15 slips of paper 8 of them and blue and a are numbered from 1 to 8.seven of them are pink and are numbered From 1 to 7 you wish to draw blue slip on the first draw and a pink slip on II draw the first slip is not replaced after being drawn .are these events independent??

Discussion

33.	There are 5 pencils and 3 times as many pens. What is the total number of pens and pencils?
Answer» There are $5$ pencils and $3$ times as many pens. What is the total number of pens and pencils?

Discussion

34.	A pipe can fill a cistern in 9 hours. Due to leak in its bottom , the cistern fills up in 10 hours. If the cistern is full , in how much time will it be emptied by leak ?
Answer» A pipe can fill a cistern in 9 hours. Due to leak in its bottom , the cistern fills up in 10 hours. If the cistern is full , in how much time will it be emptied by leak ?

Discussion

35.	The product of (6x-4y) and (2x-7y) is
Answer» The product of (6x-4y) and (2x-7y) is

Discussion

36.	Given two squares of same length. One square has triangle in it with its vertices coinciding with three vertices of the square. The other square contains a circle touching all mid points of the sides of the square.Which of these two will have a greater area and what is the difference in the areas if length of the given square is 4 m? [4 MARKS]
Answer» Given two squares of same length. One square has triangle in it with its vertices coinciding with three vertices of the square. The other square contains a circle touching all mid points of the sides of the square.Which of these two will have a greater area and what is the difference in the areas if length of the given square is 4 m? [4 MARKS]

Discussion

37.	Question 56 Number of students appearing for class X CBSE examination increases from 91422 in 1999-2000 to 116054 in 2008-09. Increase in the number of students appeared is approximately 27%.
Answer» Question 56 Number of students appearing for class X CBSE examination increases from 91422 in 1999-2000 to 116054 in 2008-09. Increase in the number of students appeared is approximately 27%.

37.

Question 56 Number of students appearing for class X CBSE examination increases from 91422 in 1999-2000 to 116054 in 2008-09. Increase in the number of students appeared is approximately 27%.

Answer»

Question 56

Number of students appearing for class X CBSE examination increases from 91422 in 1999-2000 to 116054 in 2008-09. Increase in the number of students appeared is approximately 27%.

Discussion

38.	Prove that the line joining the midpoints of two parallel chords of a circle passes through the centre.
Answer» Prove that the line joining the midpoints of two parallel chords of a circle passes through the centre.

Discussion

39.	Question 16 If ¯x is the mean of x1,x2,……xn, then for a≠0, the mean of ax1,ax2,……axn,x1a,x2a,……xna is: A) (a+1a)¯x B) (a+1a)¯x2 C) (a+1a)¯xn D) (a+1a)¯x2n
Answer» Question 16 If $¯ x$ is the mean of $x_{1}, x_{2}, \dots \dots x_{n}$ , then for $a \neq 0$ , the mean of $a x_{1}, a x_{2}, \dots \dots a x_{n}, \frac{x_{1}}{a}, \frac{x_{2}}{a}, \dots \dots \frac{x_{n}}{a}$ is: A) $(a + \frac{1}{a}) ¯ x$ B) $(a + \frac{1}{a}) \frac{¯ x}{2}$ C) $(a + \frac{1}{a}) \frac{¯ x}{n}$ D) $\frac{(a + \frac{1}{a}) ¯ x}{2 n}$

Discussion

40.	Tangents are drawn from any point on the circle x2+y2=R2 to the circle x2+y2=r2. If the line joining the points of intersection of these tangents with the first circle also touch the second, then R equals
Answer» Tangents are drawn from any point on the circle $x^{2} + y^{2} = R^{2}$ to the circle $x^{2} + y^{2} = r^{2}$ . If the line joining the points of intersection of these tangents with the first circle also touch the second, then R equals

Discussion

41.	If√m+√n-√p=0, then prove that m+n-p=4mn.
Answer» If√m+√n-√p=0, then prove that m+n-p=4mn.

Discussion

42.	Find the value of 'x' if 56+x=1
Answer» Find the value of ' $x$ ' if $\frac{5}{6} + x = 1$

Discussion

43.	What will come in place of question mark (?) in the following question? 823×15131022−2311 = ?
Answer» What will come in place of question mark (?) in the following question? $\frac{8 \frac{2}{3} \times \frac{15}{13}}{\frac{10}{22} - 2 \frac{3}{11}} = ?$

Discussion

44.	Find the value of ∠C in the triangle given below if the value of ∠CAB = 25o. If AB = BD, what can be the value of ∠D? [3 MARKS]
Answer» Find the value of $∠ C$ in the triangle given below if the value of $∠ C A B$ = 25 $^{o}$ . If AB = BD, what can be the value of $∠ D$ ? [3 MARKS]

Discussion

45.	Find the value of x in the equation xx−a+xx−b=2.
Answer» $Find the value of x in the equation \frac{x}{x - a} + \frac{x}{x - b} = 2.$

Discussion

46.	Find the measure of ∠P and ∠S if SP \|\| RQ. (If you find m∠R , is there more than one method to find m∠P ?
Answer» Find the measure of $∠ P$ and $∠ S$ if SP \|\| RQ. (If you find m $∠ R$ , is there more than one method to find m $∠ P$ ?

46.

Find the measure of ∠P and ∠S if SP || RQ. (If you find m∠R , is there more than one method to find m∠P ?

Answer»

Find the measure of $∠ P$ and $∠ S$ if SP || RQ. (If you find m $∠ R$ , is there more than one method to find m $∠ P$ ?

Discussion

47.	Evaluate: 1102
Answer» Evaluate: $110^{2}$

Discussion

48.	What is the highest percentage decrease over the preceding year in the automobile production? (Write your answer till 2nd decimal place. For e.g 2.03)___
Answer» What is the highest percentage decrease over the preceding year in the automobile production? (Write your answer till 2^nd decimal place. For e.g 2.03)___

Discussion

49.	Write the algebraic expression for: (i) The volume of cube if its side(a) is reduced by 5. (ii) Simple interest if time is reduced by 2 years and rate is increased by 5%. (iii) Distance travelled if speed is increased by 5 units and time by 10 units. [3 MARKS]
Answer» Write the algebraic expression for: (i) The volume of cube if its side(a) is reduced by 5. (ii) Simple interest if time is reduced by 2 years and rate is increased by $5 %$ . (iii) Distance travelled if speed is increased by 5 units and time by 10 units. [3 MARKS]

49.

Write the algebraic expression for: (i) The volume of cube if its side(a) is reduced by 5. (ii) Simple interest if time is reduced by 2 years and rate is increased by 5%. (iii) Distance travelled if speed is increased by 5 units and time by 10 units. [3 MARKS]

Answer»

Write the algebraic expression for:

(i) The volume of cube if its side(a) is reduced by 5.

(ii) Simple interest if time is reduced by 2 years and rate is increased by $5 %$ .

(iii) Distance travelled if speed is increased by 5 units and time by 10 units. [3 MARKS]

Discussion

50.	Find the measure of ∠DCE and hence ∠DEC
Answer» Find the measure of $∠ D C E$ and hence $∠$ DEC

50.

Find the measure of ∠DCE and hence ∠DEC

Answer»

Find the measure of $∠ D C E$ and hence $∠$ DEC

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Find a3−1a3 if a−1a=4

The difference of two numbers is 3.Their sum is 13.Find the numbers.

Find the CI on Rs. 10,000 for 2 years at 20% per annum compounded semi - annually.

Is the number 2 a rational numver and a fraction

In a school 5/8 of the total students are girls. If the number of girls is 120 more than that of the boys , what is the strength of the school ? How many boys are there ?

Will angle sum property work if the quadrilateral is not convex

Why is ab+bc+cd+da a monomial?

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

The number line contains all the real numbers[true/false]

3x/x+6-x/x+5=2

(a + b) and (a - b) are two diagonals of a rhombus; a, b &gt; 0. What is the value of a3+b3, if the area of the rhombus is 30 cm2? Given that one of the diagonal is 6 cm.

Question 9 (ii) How many numbers lie between squares of the following numbers? 25 and 26

if x^(p).y^(q) = (x+y)^(p+q) , prove that dy/dx = y/x

Question 8 Water is pouring into a cuboidal reservoir at the rate of 60 litres per minute. If the volume of reservoir is 108 m3 find the number of hours it will take to fill the reservoir.

From the frequency distribution of student marks, tell what is the number of people whose marks is less than 22.5? Class12.5−17.517.5−22.522.5−27.527.5−32.532.5−37.5Frequency222191413

The mean of the given data is

What will be the result of (−2)3×3(−2)? [3 MARKS]

Question 34 Fill in the blank to make the statement true 729 = __

2.2 cubic dm of brass is to be drawn into a cylindrical wire 0.25 cm in diameter. Find the length of the wire.

The annual rate of growth in population of a certain city is 8%. If its present population is 196830, what it was 3 years ago?

3 men or 5 women can do a work in 12 days. How long will 6 men and 5 women take to do it? (a) 6 days (b) 5 days (c) 4 days (d) 3 days

Question 19 Factorised form of 23xy−46x+54y−108 is a) (23x+54)(y−2) b) (23x+54y)(y−2) c) (23xy+54y)(−46x−108) d) (23x+54)(y+2)

Multiplication of a number with its reciprocal gives ___.

If x : y = 2 : 5 , then find 3x : 5y.

Question 1(iv) State whether the number given below is a perfect cube or not: 100

The adjacent angles of a parallelogram add upto

If x and y are inversely proportional, find the values of x1,x2,y1 and y2 in the table given below : x8x116x280yy1452y2

Question 91 (xii) Factorise the following: p2−13p−30

Question 93 Ms Anita has to drive from Jhareda to Ganwari. She measures a distance of 3.5 cm betweeen these village on the map. What is the actual distance between the villages, if the map scale is 1 cm= 10 km?

If the division N÷2 leaves no remainder, what might be the units digit of N? [2 MARKS]

Find the median of the following data. Class interval0−2020−4040−6060−8080−100Frequency51112139

A paper bag contains 15 slips of paper 8 of them and blue and a are numbered from 1 to 8.seven of them are pink and are numbered From 1 to 7 you wish to draw blue slip on the first draw and a pink slip on II draw the first slip is not replaced after being drawn .are these events independent??

There are 5 pencils and 3 times as many pens. What is the total number of pens and pencils?

A pipe can fill a cistern in 9 hours. Due to leak in its bottom , the cistern fills up in 10 hours. If the cistern is full , in how much time will it be emptied by leak ?

The product of (6x-4y) and (2x-7y) is

Question 56 Number of students appearing for class X CBSE examination increases from 91422 in 1999-2000 to 116054 in 2008-09. Increase in the number of students appeared is approximately 27%.

Prove that the line joining the midpoints of two parallel chords of a circle passes through the centre.

Question 16 If ¯x is the mean of x1,x2,……xn, then for a≠0, the mean of ax1,ax2,……axn,x1a,x2a,……xna is: A) (a+1a)¯x B) (a+1a)¯x2 C) (a+1a)¯xn D) (a+1a)¯x2n

Tangents are drawn from any point on the circle x2+y2=R2 to the circle x2+y2=r2. If the line joining the points of intersection of these tangents with the first circle also touch the second, then R equals

If√m+√n-√p=0, then prove that m+n-p=4mn.

Find the value of 'x' if 56+x=1

What will come in place of question mark (?) in the following question? 823×15131022−2311 = ?

Find the value of ∠C in the triangle given below if the value of ∠CAB = 25o. If AB = BD, what can be the value of ∠D? [3 MARKS]

Find the value of x in the equation xx−a+xx−b=2.

Find the measure of ∠P and ∠S if SP || RQ. (If you find m∠R , is there more than one method to find m∠P ?

Evaluate: 1102

What is the highest percentage decrease over the preceding year in the automobile production? (Write your answer till 2nd decimal place. For e.g 2.03)___

Write the algebraic expression for: (i) The volume of cube if its side(a) is reduced by 5. (ii) Simple interest if time is reduced by 2 years and rate is increased by 5%. (iii) Distance travelled if speed is increased by 5 units and time by 10 units. [3 MARKS]

Find the measure of ∠DCE and hence ∠DEC

(a + b) and (a - b) are two diagonals of a rhombus; a, b > 0. What is the value of a3+b3, if the area of the rhombus is 30 cm2? Given that one of the diagonal is 6 cm.