32581 + Interview Questions in Mathematics

1.	a and b are two positive integers such that a√a+b√b = 183 and a√b+b√a = 182. Find 9(a+b)/5
Answer» a and b are two positive integers such that a√a+b√b = 183 and a√b+b√a = 182. Find 9(a+b)/5

Discussion

2.	The mean of following numbers is 68. Find the value of 'x' 45, 52, 60, x, 69, 70, 26, 81 and 94 Hence, estimate the median. [3 MARKS]
Answer» The mean of following numbers is 68. Find the value of 'x' 45, 52, 60, x, 69, 70, 26, 81 and 94 Hence, estimate the median. [3 MARKS]

Discussion

3.	If alpha and beta order zeros of polynomial 2 X square + 3 X + 5 then find the value of alpha + beta divided by Alpha into beta
Answer» If alpha and beta order zeros of polynomial 2 X square + 3 X + 5 then find the value of alpha + beta divided by Alpha into beta

Discussion

4.	Which of the following expression is correct ?
Answer» Which of the following expression is correct ?

Discussion

5.	Find values of a and b so that x4 + x3 + 8x2 + ax + b is divisible by x2 + 1.
Answer» Find values of a and b so that x⁴ + x³ + 8x²+ ax + b is divisible by x² + 1.

Discussion

6.	If a3=15,S10=125, find d and a10
Answer» If $a_{3} = 15, S_{10} = 125$ , find $d$ and $a_{10}$

Discussion

7.	Rohan ranks seventh from the top and twenty-sixth from bottom in a class. How many students are there in the class?
Answer» Rohan ranks seventh from the top and twenty-sixth from bottom in a class. How many students are there in the class?

Discussion

8.	For the quadratic equation x2-2x+1=0 find the value of x+1/x
Answer» For the quadratic equation x²-2x+1=0 find the value of x+1/x

Discussion

9.	The longest side of a triangle is 3 times the shorter side and then the third side is 2cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.
Answer» The longest side of a triangle is 3 times the shorter side and then the third side is 2cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

Discussion

10.	A worker is paid Rs 2310 for 6 days. If his total wage during a month add up to Rs. 9230, Find the number of days in the month he worked.
Answer» A worker is paid Rs 2310 for 6 days. If his total wage during a month add up to Rs. 9230, Find the number of days in the month he worked.

Discussion

11.	Find the average height of students in a class from the given table: Height in cmNumber of students1205130614091501016041702
Answer» Find the average height of students in a class from the given table: $\begin{matrix} Height in cm & Number of students 120 & 5 130 & 6 140 & 9 150 & 10 160 & 4 170 & 2 \end{matrix}$

11.

Find the average height of students in a class from the given table: Height in cmNumber of students1205130614091501016041702

Answer»

Find the average height of students in a class from the given table:

$\begin{matrix} Height in cm & Number of students 120 & 5 130 & 6 140 & 9 150 & 10 160 & 4 170 & 2 \end{matrix}$

Discussion

12.	Find the equation of a line with y – intercept = 5 & passing through the point (–4, 7).
Answer» Find the equation of a line with y – intercept = 5 & passing through the point (–4, 7).

Discussion

13.	If 6x + 3y = 6xy; 2x + 4y = 5xy, then the values of x and y are
Answer» If 6x + 3y = 6xy; 2x + 4y = 5xy, then the values of x and y are

Discussion

14.	ABCD is a parallelogram with vertices A (X1, Y1) , B(X2, Y2) and C (X3, Y3). Then the coordinates of the fourth vertex D in terms of the coordinates of A, B and C are
Answer» ABCD is a parallelogram with vertices A (X₁, Y₁) , B(X₂, Y₂) and C (X₃, Y₃). Then the coordinates of the fourth vertex D in terms of the coordinates of A, B and C are

Discussion

15.	Find the sum of first 49 even natural numbers.
Answer» Find the sum of first 49 even natural numbers.

Discussion

16.	What will come in place of the question mark (?) in each of the following series? 17, 52, 158, 477, ?, 4310
Answer» What will come in place of the question mark (?) in each of the following series? 17, 52, 158, 477, ?, 4310

Discussion

17.	Given the terms a10=3512 and a15=316384 of a geometric sequence, find the exact value of the term a30 of the sequence.
Answer» Given the terms $a_{10} = \frac{3}{512}$ and $a_{15} = \frac{3}{16384}$ of a geometric sequence, find the exact value of the term $a_{30}$ of the sequence.

Discussion

18.	A toy is in the form of a cone surmounted on hemisphere. The diameter of the base and height of the cone are 6 cm and 4 cm, respectively. Determine the surface area of the toy. (Use π=3.14)
Answer» A toy is in the form of a cone surmounted on hemisphere. The diameter of the base and height of the cone are 6 cm and 4 cm, respectively. Determine the surface area of the toy. (Use $π = 3.14)$

Discussion

19.	If the points A (6, 1), B (8, 2), C (9, 4) and D (k ,p) are the vertices of a parallelogram taken in order, then find the values of k and p.
Answer» If the points A (6, 1), B (8, 2), C (9, 4) and D (k ,p) are the vertices of a parallelogram taken in order, then find the values of k and p.

Discussion

20.	ab2+(a−1)b−1
Answer» $a b^{2} + (a - 1) b - 1$

Discussion

21.	The ratio of corresponding sides of two similar triangles △ABC ~ △PQR is given to be 4:7. Find the side QR if BC is given to be 3.5cm.
Answer» The ratio of corresponding sides of two similar triangles $△ A B C$ ~ $△ P Q R$ is given to be 4:7. Find the side QR if BC is given to be 3.5cm.

Discussion

22.	Choose the most appropriate synonym for the following word. SLIGHTLY
Answer» Choose the most appropriate synonym for the following word. SLIGHTLY

22.

Choose the most appropriate synonym for the following word. SLIGHTLY

Answer»

Choose the most appropriate synonym for the following word.

SLIGHTLY

Discussion

23.	Find the polynomial which has integral zeroes(zeroes are integers)?
Answer» Find the polynomial which has integral zeroes(zeroes are integers)?

Discussion

24.	give me shortcut method of adding number and subtracting , multiplication
Answer» give me shortcut method of adding number and subtracting , multiplication

Discussion

25.	Find the roots of the 3x2 – 5x + 2 = 0 quadratic equation.
Answer» Find the roots of the 3x² – 5x + 2 = 0 quadratic equation.

Discussion

26.	The area of a square field is 8 hectares. How long would a man take to cross it diagonally by walking at the rate of 4 km per hours ?
Answer» The area of a square field is 8 hectares. How long would a man take to cross it diagonally by walking at the rate of 4 km per hours ?

Discussion

27.	The sum of two natural numbers is 3 and the difference of their reciprocals is 328. Find the numbers.
Answer» The sum of two natural numbers is 3 and the difference of their reciprocals is $\frac{3}{28}$ . Find the numbers.

Discussion

28.	The sum of the numerator and denominator of a fraction is 8.If 3 is added to both of the numerator and the denominator,the fraction becomes 34.Find the fraction.
Answer» The sum of the numerator and denominator of a fraction is 8.If 3 is added to both of the numerator and the denominator,the fraction becomes $\frac{3}{4}$ .Find the fraction.

Discussion

29.	A toy is in the form of a hemisphere surmounted by a right circular cone of the same base radius as that of the hemisphere.If the radius of the base of the cone is 21 cm and its volume is 23 of the volume of the hemisphere,calculate the height of the cone and the surface area of the toy? (Useπ= 22/7)
Answer» A toy is in the form of a hemisphere surmounted by a right circular cone of the same base radius as that of the hemisphere.If the radius of the base of the cone is 21 cm and its volume is $\frac{2}{3}$ of the volume of the hemisphere,calculate the height of the cone and the surface area of the toy? $(U s e π = 22 / 7)$

Discussion

30.	Is 1 is a prime number
Answer» Is 1 is a prime number

Discussion

31.	Determine whether the following points are collinear or not: A (3, 1), B (6,4) and C (8,6).
Answer» Determine whether the following points are collinear or not: A (3, 1), B (6,4) and C (8,6).

Discussion

32.	Write the greatest integer smaller than 2√5 and smallest integer greater than 2√5
Answer» Write the greatest integer smaller than 2√5 and smallest integer greater than 2√5

Discussion

33.	First four terms of an ap sum up to 56 and the sum of the last 4 terms is 112. If the first term is 11 how many terms are there in the ap
Answer» First four terms of an ap sum up to 56 and the sum of the last 4 terms is 112. If the first term is 11 how many terms are there in the ap

Discussion

34.	Which of the following should be the FIRST sentence after rearrangement?
Answer» Which of the following should be the FIRST sentence after rearrangement?

Discussion

35.	X/4-y/6=3 X/2-y=-2 Solve for x and y
Answer» X/4-y/6=3 X/2-y=-2 Solve for x and y

35.

X/4-y/6=3 X/2-y=-2 Solve for x and y

Answer»

X/4-y/6=3

X/2-y=-2

Solve for x and y

Discussion

36.	Find the point (x, y) that divides line segment joining the points A(3,6) and B(7,10) in the ratio 3:1.
Answer» Find the point (x, y) that divides line segment joining the points A(3,6) and B(7,10) in the ratio 3:1.

Discussion

37.	If x=k is one of the solution of 2x2+5x-k=0 find the two possible values of k
Answer» If x=k is one of the solution of 2x2+5x-k=0 find the two possible values of k

Discussion

38.	In the given figure, Arc BAD is known as:
Answer» In the given figure, Arc BAD is known as:

38.

In the given figure, Arc BAD is known as:

Answer»

In the given figure, Arc BAD is known as:

Discussion

39.	What is the reason behind taking b =3 in Question: Use Euclid's division lemma to show that the square of any positive integer is either of the form 3m or 3m+1 for some integer m. [4 MARKS]
Answer» What is the reason behind taking b =3 in Question: Use Euclid's division lemma to show that the square of any positive integer is either of the form 3m or 3m+1 for some integer m. [4 MARKS]

39.

What is the reason behind taking b =3 in Question: Use Euclid's division lemma to show that the square of any positive integer is either of the form 3m or 3m+1 for some integer m. [4 MARKS]

Answer»

What is the reason behind taking b =3 in Question:

Use Euclid's division lemma to show that the square of any positive integer is either of the form 3m or 3m+1 for some integer m. [4 MARKS]

Discussion

40.	A regular hexagon is drawn with its vertices on a circle as shown in the figure. Without looking into it, if one randomly puts a dot in it, what is the probability of the dot not being in the regular hexagon?
Answer» A regular hexagon is drawn with its vertices on a circle as shown in the figure. Without looking into it, if one randomly puts a dot in it, what is the probability of the dot not being in the regular hexagon?

40.

A regular hexagon is drawn with its vertices on a circle as shown in the figure. Without looking into it, if one randomly puts a dot in it, what is the probability of the dot not being in the regular hexagon?

Answer»

A regular hexagon is drawn with its vertices on a circle as shown in the figure. Without looking into it, if one randomly puts a dot in it, what is the probability of the dot not being in the regular hexagon?

Discussion

41.	If log10 x=y then log1000x2 is equal to
Answer» If $l o g_{10} x = y t h e n l o g_{1000} x^{2}$ is equal to

Discussion

42.	A group of students from a school decided to donate blood. The blood groups of 16 students of class X are recorded as follows: A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O, AB. Find the probability of blood group a) O b) A
Answer» A group of students from a school decided to donate blood. The blood groups of 16 students of class X are recorded as follows: A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O, AB. Find the probability of blood group a) O b) A

42.

A group of students from a school decided to donate blood. The blood groups of 16 students of class X are recorded as follows: A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O, AB. Find the probability of blood group a) O b) A

Answer»

A group of students from a school decided to donate blood. The blood groups of 16 students of class X are recorded as follows:

A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O, AB. Find the probability of blood group

a) O

b) A

Discussion

43.	The slope of the line that is parallel to x – axis is __.
Answer» The slope of the line that is parallel to x – axis is __.

Discussion

44.	Choose the correct formula(s) for volumes of different surfaces from the given options
Answer» Choose the correct formula(s) for volumes of different surfaces from the given options

Discussion

45.	The marked price of an item is Rs 8000. The manufacturing company of the item sells it to a shopkeeper at a discount of 15%. The shopkeeper sells it to consumer at the marked price. If the rate of sales tax (under VAT) on the item is 6%, find: i) the amount of VAT paid by the company ii) the amount of VAT paid by the shopkeeper iii) the amount which the consumer paid for the item
Answer» The marked price of an item is Rs 8000. The manufacturing company of the item sells it to a shopkeeper at a discount of 15%. The shopkeeper sells it to consumer at the marked price. If the rate of sales tax (under VAT) on the item is 6%, find: i) the amount of VAT paid by the company ii) the amount of VAT paid by the shopkeeper iii) the amount which the consumer paid for the item

45.

The marked price of an item is Rs 8000. The manufacturing company of the item sells it to a shopkeeper at a discount of 15%. The shopkeeper sells it to consumer at the marked price. If the rate of sales tax (under VAT) on the item is 6%, find: i) the amount of VAT paid by the company ii) the amount of VAT paid by the shopkeeper iii) the amount which the consumer paid for the item

Answer»

The marked price of an item is Rs 8000. The manufacturing company of the item sells it to a shopkeeper at a discount of 15%. The shopkeeper sells it to consumer at the marked price. If the rate of sales tax (under VAT) on the item is 6%, find:

i) the amount of VAT paid by the company

ii) the amount of VAT paid by the shopkeeper

iii) the amount which the consumer paid for the item

Discussion

46.	A solid is made up of a cone, cylinder and hemisphere, placed one on top of the other. The cylinder is placed on top of the hemisphere and the cone is placed on top of the cylinder. The radius of each of the three parts is 3.5 cm. The total height of the solid is 18.4 cm & and the height of just its cylindrical part is 6.5 cm. Find the slant height of the cone & volume of the entire solid to the nearest cm3.
Answer» A solid is made up of a cone, cylinder and hemisphere, placed one on top of the other. The cylinder is placed on top of the hemisphere and the cone is placed on top of the cylinder. The radius of each of the three parts is 3.5 cm. The total height of the solid is 18.4 cm & and the height of just its cylindrical part is 6.5 cm. Find the slant height of the cone & volume of the entire solid to the nearest cm³.

Discussion

47.	If Tn=78, where Tn denotes the nth term the following AP: 3, 8, 13, 18, . . . , then n = ___
Answer» If $T_{n} = 78$ , where $T_{n}$ denotes the $n^{t h}$ term the following AP: 3, 8, 13, 18, . . . , then n = ___

Discussion

48.	The correct formula for finding the median of a grouped data is
Answer» The correct formula for finding the median of a grouped data is

Discussion

49.	What are the minimum and maximum numbers of distinct real roots a quadratic equation can have?
Answer» What are the minimum and maximum numbers of distinct real roots a quadratic equation can have?

Discussion

50.	The value of quadratic polynomial f (x)=2x2- 3x- 2 at x =-2 is ……
Answer» The value of quadratic polynomial f (x)=2x²- 3x- 2 at x =-2 is ……

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

a and b are two positive integers such that a√a+b√b = 183 and a√b+b√a = 182. Find 9(a+b)/5 ​​​​​

The mean of following numbers is 68. Find the value of 'x' 45, 52, 60, x, 69, 70, 26, 81 and 94 Hence, estimate the median. [3 MARKS]

If alpha and beta order zeros of polynomial 2 X square + 3 X + 5 then find the value of alpha + beta divided by Alpha into beta

Which of the following expression is correct ?

Find values of a and b so that x​​​​​​4 + x​​​​​​3 + 8x2 + ax + b is divisible by x​​​​​​2 + 1.

If a3=15,S10=125, find d and a10

Rohan ranks seventh from the top and twenty-sixth from bottom in a class. How many students are there in the class?

For the quadratic equation x​​​​​​2​​​​​-2x+1=0 find the value of x+1/x

The longest side of a triangle is 3 times the shorter side and then the third side is 2cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

A worker is paid Rs 2310 for 6 days. If his total wage during a month add up to Rs. 9230, Find the number of days in the month he worked.

Find the average height of students in a class from the given table: Height in cmNumber of students1205130614091501016041702

Find the equation of a line with y – intercept = 5 &amp; passing through the point (–4, 7).

If 6x + 3y = 6xy; 2x + 4y = 5xy, then the values of x and y are

ABCD is a parallelogram with vertices A (X1, Y1) , B(X2, Y2) and C (X3, Y3). Then the coordinates of the fourth vertex D in terms of the coordinates of A, B and C are

Find the sum of first 49 even natural numbers.

What will come in place of the question mark (?) in each of the following series? 17, 52, 158, 477, ?, 4310

Given the terms a10=3512 and a15=316384 of a geometric sequence, find the exact value of the term a30 of the sequence.

A toy is in the form of a cone surmounted on hemisphere. The diameter of the base and height of the cone are 6 cm and 4 cm, respectively. Determine the surface area of the toy. (Use π=3.14)

If the points A (6, 1), B (8, 2), C (9, 4) and D (k ,p) are the vertices of a parallelogram taken in order, then find the values of k and p.

ab2+(a−1)b−1

The ratio of corresponding sides of two similar triangles △ABC ~ △PQR is given to be 4:7. Find the side QR if BC is given to be 3.5cm.

Choose the most appropriate synonym for the following word. SLIGHTLY

Find the polynomial which has integral zeroes(zeroes are integers)?

give me shortcut method of adding number and subtracting , multiplication

Find the roots of the 3x2 – 5x + 2 = 0 quadratic equation.

The area of a square field is 8 hectares. How long would a man take to cross it diagonally by walking at the rate of 4 km per hours ?

The sum of two natural numbers is 3 and the difference of their reciprocals is 328. Find the numbers.

The sum of the numerator and denominator of a fraction is 8.If 3 is added to both of the numerator and the denominator,the fraction becomes 34.Find the fraction.

Is 1 is a prime number

Determine whether the following points are collinear or not: A (3, 1), B (6,4) and C (8,6).

Write the greatest integer smaller than 2√5 and smallest integer greater than 2√5

First four terms of an ap sum up to 56 and the sum of the last 4 terms is 112. If the first term is 11 how many terms are there in the ap

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

X/4-y/6=3 X/2-y=-2 Solve for x and y

Find the point (x, y) that divides line segment joining the points A(3,6) and B(7,10) in the ratio 3:1.

If x=k is one of the solution of 2x2+5x-k=0 find the two possible values of k

In the given figure, Arc BAD is known as:

What is the reason behind taking b =3 in Question: Use Euclid's division lemma to show that the square of any positive integer is either of the form 3m or 3m+1 for some integer m. [4 MARKS]

A regular hexagon is drawn with its vertices on a circle as shown in the figure. Without looking into it, if one randomly puts a dot in it, what is the probability of the dot not being in the regular hexagon?

If log10 x=y then log1000x2 is equal to

A group of students from a school decided to donate blood. The blood groups of 16 students of class X are recorded as follows: A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O, AB. Find the probability of blood group a) O b) A

The slope of the line that is parallel to x – axis is __.

Choose the correct formula(s) for volumes of different surfaces from the given options

If Tn=78, where Tn denotes the nth term the following AP: 3, 8, 13, 18, . . . , then n = ___

The correct formula for finding the median of a grouped data is

What are the minimum and maximum numbers of distinct real roots a quadratic equation can have?​

The value of quadratic polynomial f (x)=2x2- 3x- 2 at x =-2 is ……

a and b are two positive integers such that a√a+b√b = 183 and a√b+b√a = 182. Find 9(a+b)/5

Find values of a and b so that x4 + x3 + 8x2 + ax + b is divisible by x2 + 1.

For the quadratic equation x2-2x+1=0 find the value of x+1/x

Find the equation of a line with y – intercept = 5 & passing through the point (–4, 7).

What are the minimum and maximum numbers of distinct real roots a quadratic equation can have?