25365 + Interview Questions in Mathematics

1.	Radha earns 22% of her investment. If she earns Rs. 187, then how much did she invest?
Answer» Radha earns 22% of her investment. If she earns Rs. 187, then how much did she invest?

Discussion

2.	If3(t−3)=5(2t+1),then t=? (a) -2 (b) 2 (c) -3 (d) 3
Answer» $If 3 (t - 3) = 5 (2 t + 1), then t=?$ (a) -2 (b) 2 (c) -3 (d) 3

2.

If3(t−3)=5(2t+1),then t=? (a) -2 (b) 2 (c) -3 (d) 3

Answer»

$If 3 (t - 3) = 5 (2 t + 1), then t=?$

(a) -2

(b) 2

(c) -3

(d) 3

Discussion

3.	A hollow garden roller of 42 cm diameter and length 152 cm is made of cast iron 2 cm thick. Find the volume of iron used in the roller.
Answer» A hollow garden roller of $42 c m$ diameter and length $152 c m$ is made of cast iron $2 c m$ thick. Find the volume of iron used in the roller.

Discussion

4.	The sum of two opposite angles of a parallelogram is 130∘. Find the measure of each of its angles.
Answer» The sum of two opposite angles of a parallelogram is $130^{\circ}$ . Find the measure of each of its angles.

Discussion

5.	Question 3 In a pie chart, the total angle at the centre of the circle is: (a) 180° (b) 360° (c) 270° (d) 90°
Answer» Question 3 In a pie chart, the total angle at the centre of the circle is: (a) 180° (b) 360° (c) 270° (d) 90°

5.

Question 3 In a pie chart, the total angle at the centre of the circle is: (a) 180° (b) 360° (c) 270° (d) 90°

Answer»

Question 3

In a pie chart, the total angle at the centre of the circle is:

(a) 180°

(b) 360°

(c) 270°

(d) 90°

Discussion

6.	Question 88 Solve the following question: Write cubes of first three multiples of 3.
Answer» Question 88 Solve the following question: Write cubes of first three multiples of 3.

6.

Question 88 Solve the following question: Write cubes of first three multiples of 3.

Answer»

Question 88

Solve the following question:

Write cubes of first three multiples of 3.

Discussion

7.	A protractor is in the shape of a ___.
Answer» A protractor is in the shape of a ___.

Discussion

8.	Draw an equilateral triangle ABC of side 6 cm and find its incircle radius.
Answer» Draw an equilateral triangle ABC of side 6 cm and find its incircle radius.

Discussion

9.	Fill in the blanks with the correct punctuation. Tahir ____Hussain____ was the one who agreed to train the boys.
Answer» Fill in the blanks with the correct punctuation. Tahir ____Hussain____ was the one who agreed to train the boys.

9.

Fill in the blanks with the correct punctuation. Tahir Hussain was the one who agreed to train the boys.

Answer»

Fill in the blanks with the correct punctuation.

Tahir ____Hussain____ was the one who agreed to train the boys.

Discussion

10.	Fill in the numbers from 1 to 6 without repetition, so that each side of the triangle adds up to 12.
Answer» Fill in the numbers from 1 to 6 without repetition, so that each side of the triangle adds up to 12.

10.

Fill in the numbers from 1 to 6 without repetition, so that each side of the triangle adds up to 12.

Answer»

Fill in the numbers from 1 to 6 without repetition, so that each side of the triangle adds up to 12.

Discussion

11.	One of the two digits of a two digit number is three times the other digit. If you interchange the digits of this two - digit number and add the resulting number to the original number, you get 88. What is the original number?
Answer» One of the two digits of a two digit number is three times the other digit. If you interchange the digits of this two - digit number and add the resulting number to the original number, you get 88. What is the original number?

Discussion

12.	Question 84(i) The two graph below compares car A and car B. The left graph shows the relationship between age and value. The right graph shows the relationship between size and maximum speed. Use the graph to determine whether each statement is true or false and explain your answer. The older car is less valuable.
Answer» Question 84(i) The two graph below compares car A and car B. The left graph shows the relationship between age and value. The right graph shows the relationship between size and maximum speed. Use the graph to determine whether each statement is true or false and explain your answer. The older car is less valuable.

Discussion

13.	Question 66 (vi) How many edges does the following solid have? Kaleidoscope
Answer» Question 66 (vi) How many edges does the following solid have? Kaleidoscope

Discussion

14.	42.875 in exponential form.
Answer» 42.875 in exponential form.

Discussion

15.	The organisers of an essay competition decide that a winner in the competition gets prize of Rs 100 and the participant who does not win gets a prize of Rs 25. The total prize money distributed is Rs 3000. Find the number of winners if the total number of participants is 63
Answer» The organisers of an essay competition decide that a winner in the competition gets prize of Rs 100 and the participant who does not win gets a prize of Rs 25. The total prize money distributed is Rs 3000. Find the number of winners if the total number of participants is 63

Discussion

16.	English alphabet "E" has ______ line of symmetry.
Answer» English alphabet "E" has ______ line of symmetry.

Discussion

17.	Given : In quadrilateral ABCD ; ∠C=64o, ∠D=∠C−8o;∠A=5(a+2)o and ∠B=2(2a+7)o.
Answer» Given : In quadrilateral ABCD ; $∠ C = 64^{o}, ∠ D = ∠ C - 8^{o}; ∠ A = 5 (a + 2)^{o} a n d ∠ B = 2 (2 a + 7)^{o}$ .

17.

Given : In quadrilateral ABCD ; ∠C=64o, ∠D=∠C−8o;∠A=5(a+2)o and ∠B=2(2a+7)o.

Answer»

Given : In quadrilateral ABCD ; $∠ C = 64^{o}, ∠ D = ∠ C - 8^{o}; ∠ A = 5 (a + 2)^{o} a n d ∠ B = 2 (2 a + 7)^{o}$ .

Discussion

18.	Simplest form of the rational number 45/84 is:
Answer» Simplest form of the rational number 45/84 is:

Discussion

19.	Question 40 Fill in the blanks to make the statements true. The sides of a right-angled triangle whose hypotenuse is 17 cm are ___ and ___.
Answer» Question 40 Fill in the blanks to make the statements true. The sides of a right-angled triangle whose hypotenuse is 17 cm are ___ and ___.

19.

Question 40 Fill in the blanks to make the statements true. The sides of a right-angled triangle whose hypotenuse is 17 cm are _ and _.

Answer»

Question 40

Fill in the blanks to make the statements true.

The sides of a right-angled triangle whose hypotenuse is 17 cm are ___ and ___.

Discussion

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

Discussion

21.	What is the last step in constructing a quadrilateral with 3 sides and 2 included angles given?
Answer» What is the last step in constructing a quadrilateral with 3 sides and 2 included angles given?

Discussion

22.	Question 73 Draw the line graph using a suitable scale to show the annual gross profit of a company for a period of five years. Years1st2nd3rd4th5thGross profit(in Rs.)17000001550000114000012100001490000
Answer» Question 73 Draw the line graph using a suitable scale to show the annual gross profit of a company for a period of five years. $\begin{matrix} Y e a r s & 1 s t & 2 n d & 3 r d & 4 t h & 5 t h G r o s s p r o f i t (i n R s .) & 1700000 & 1550000 & 1140000 & 1210000 & 1490000 \end{matrix}$

Discussion

23.	Find the mean of 9, 10, 8, 9, 12, 10. [2 MARKS]
Answer» Find the mean of 9, 10, 8, 9, 12, 10. [2 MARKS]

Discussion

24.	The number of boys and girls in a class are in the ratio 3:5 respectively. If the number of girls are 12 more than the number of boys, find the total number of students in the class.
Answer» The number of boys and girls in a class are in the ratio 3:5 respectively. If the number of girls are 12 more than the number of boys, find the total number of students in the class.

24.

The number of boys and girls in a class are in the ratio 3:5 respectively. If the number of girls are 12 more than the number of boys, find the total number of students in the class.

Answer»

The number of boys and girls in a class are in the ratio 3:5 respectively. If the number of girls are 12 more than the number of boys,

find the total number of students in the class.

Discussion

25.	Simplify:(3x−7x)2−(7x−3x)2
Answer» $Simplify : (3 x - 7 x)^{2} - (7 x - 3 x)^{2}$

Discussion

26.	Before a cricket match the officials wanted to check the distance of the boundary from the centre of the pitch, given that the ground is circular in shape. The entire boundary length is 628 m. Find its area in m2 .Take π = 3.14___
Answer» Before a cricket match the officials wanted to check the distance of the boundary from the centre of the pitch, given that the ground is circular in shape. The entire boundary length is 628 m. Find its area in $m^{2}$ .Take $π$ = 3.14___

Discussion

27.	Find the difference between compound Interst and simple intrest on a sum of 64,000 at the rate of 20 % p.a compounded semi annually for 2 and a half years.
Answer» Find the difference between compound Interst and simple intrest on a sum of 64,000 at the rate of 20 % p.a compounded semi annually for 2 and a half years.

Discussion

28.	simplify: (31/16)3/4 * [(25/9)3/2 / (5/2)-3]
Answer» simplify: (31/16)^3/4 * [(25/9)^3/2 / (5/2)^-3]

Discussion

29.	Let pqr be a three digit number. Then, pqr + qrp + rpq will not be always divisible by
Answer» Let pqr be a three digit number. Then, pqr + qrp + rpq will not be always divisible by

Discussion

30.	If A, B, C, ..., X, Y, Z represent digits, which of the following could be a perfect square?
Answer» If A, B, C, ..., X, Y, Z represent digits, which of the following could be a perfect square?

Discussion

31.	Is it possible to construct a unique quadrilateral ABCD with AB = 4cm, AD = 6cm, angleABC =60°, angleDAB = 75°, and angleADC =85°? If yes then how? Draw diagram and find value of angleBCD.
Answer» Is it possible to construct a unique quadrilateral ABCD with AB = 4cm, AD = 6cm, angleABC =60°, angleDAB = 75°, and angleADC =85°? If yes then how? Draw diagram and find value of angleBCD.

Discussion

32.	Sale of English and Hindi books in the years 1995,1996,1997 and 1998 are given below:Years1995199619971998English350400450620Hindi500525600650 Draw a double bar graph and answer the following questions: (a) In which year was the difference in the sale of the two language books least? (b) Can you say that the demand for English books increased? Justify.
Answer» Sale of English and Hindi books in the years $1995, 1996, 1997$ and $1998$ are given below: $\begin{matrix} Years & 1995 & 1996 & 1997 & 1998 English & 350 & 400 & 450 & 620 Hindi & 500 & 525 & 600 & 650 \end{matrix}$ Draw a double bar graph and answer the following questions: (a) In which year was the difference in the sale of the two language books least? (b) Can you say that the demand for English books increased? Justify.

32.

Sale of English and Hindi books in the years 1995,1996,1997 and 1998 are given below:Years1995199619971998English350400450620Hindi500525600650 Draw a double bar graph and answer the following questions: (a) In which year was the difference in the sale of the two language books least? (b) Can you say that the demand for English books increased? Justify.

Answer»

Sale of English and Hindi books in the years $1995, 1996, 1997$ and $1998$ are given below:
$\begin{matrix} Years & 1995 & 1996 & 1997 & 1998 English & 350 & 400 & 450 & 620 Hindi & 500 & 525 & 600 & 650 \end{matrix}$

Draw a double bar graph and answer the following questions:

(a) In which year was the difference in the sale of the two language books least?

(b) Can you say that the demand for English books increased? Justify.

Discussion

33.	The letters of the words HELLO and THERE are written on individual cards and the cards placed into a bag.Acard is picked at random.Whar is the probability of picking: a.the letter L B. the letter E. C.the letter L orE D.the letter E or a consonant E. The letter L,E or T.
Answer» The letters of the words HELLO and THERE are written on individual cards and the cards placed into a bag.Acard is picked at random.Whar is the probability of picking: a.the letter L B. the letter E. C.the letter L orE D.the letter E or a consonant E. The letter L,E or T.

Discussion

34.	Question 2(ix) Factorise the following expressions x2yz+xy2z+xyz2
Answer» Question 2(ix) Factorise the following expressions $x^{2} y z + x y^{2} z + x y z^{2}$

Discussion

35.	5x-2(2x-7)=2(3x-1)+7/2
Answer» 5x-2(2x-7)=2(3x-1)+7/2

Discussion

36.	Ravish brought 100 articles for ₹4000. He sold 20 of them at a gain of 5%. At what gain per cent must he sell the remaining articles so as to gain 20% on the whole?
Answer» Ravish brought 100 articles for ₹4000. He sold 20 of them at a gain of 5%. At what gain per cent must he sell the remaining articles so as to gain 20% on the whole?

Discussion

37.	A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A left after some days and then B completed the remaining work in 23 days. Number of days A and B worked together is
Answer» A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A left after some days and then B completed the remaining work in 23 days. Number of days A and B worked together is

Discussion

38.	Why is 0 considered as an even number?
Answer» Why is 0 considered as an even number?

Discussion

39.	If 2x−12x=4; find :(i) 4x2+14x2(ii)8x3−18x3
Answer» If $2 x - \frac{1}{2 x} = 4; f i n d : (i) 4 x^{2} + \frac{1}{4 x^{2}} (i i) 8 x^{3} - \frac{1}{8 x^{3}}$

Discussion

40.	Simplify: (5p2−25p+20)÷(p−4).
Answer» $Simplify: (5 p^{2} - 25 p + 20) \div (p - 4) .$

Discussion

41.	1 m3 = ______ litres.
Answer» 1 m³ = ______ litres.

Discussion

42.	The height of 10 students in a class are (in cm):- 135, 143, 132, 149, 150, 143, 158, 124, 143, 152 Pick the correct statements?
Answer» The height of 10 students in a class are (in cm):- 135, 143, 132, 149, 150, 143, 158, 124, 143, 152 Pick the correct statements?

42.

The height of 10 students in a class are (in cm):- 135, 143, 132, 149, 150, 143, 158, 124, 143, 152 Pick the correct statements?

Answer»

The height of 10 students in a class are (in cm):-

135, 143, 132, 149, 150, 143, 158, 124, 143, 152

Pick the correct statements?

Discussion

43.

45 students across the different levels of Intelligent Quotient are distributed in the grouped table given below. IQ 60-70 70-80 80-90 90-100 100-110 110-120 120-130 No. of patients 3 6 9 11 11 7 2 Draw the frequency polygon for the data.

Answer»

45 students across the different levels of Intelligent Quotient are distributed in the grouped table given below.

IQ	60-70	70-80	80-90	90-100	100-110	110-120	120-130
No. of patients	3	6	9	11	11	7	2

Draw the frequency polygon for the data.

Discussion

44.	A diagonal of a quadrilateral divides it into _____ congruent triangles.
Answer» A diagonal of a quadrilateral divides it into _____ congruent triangles.

Discussion

45.	A number is as much greater than 21 as is less than 71. Find the no.
Answer» A number is as much greater than 21 as is less than 71. Find the no.

Discussion

46.	If the interest is credited to your account every 3 months, then the interest is compounded ________
Answer» If the interest is credited to your account every 3 months, then the interest is compounded ________

46.

If the interest is credited to your account every 3 months, then the interest is compounded ________

Answer»

If the interest is credited to your account every 3 months, then the interest is compounded ________

Discussion

47.	The following table shows number of males and females of a locality in different age groups. Age in years10−2021−50Above 50Male15169Female82012 If one person is selected at random, find the probability of getting a person with age 21-50.
Answer» The following table shows number of males and females of a locality in different age groups. $\begin{matrix} Age in years & 10 - 20 & 21 - 50 & Above 50 Male & 15 & 16 & 9 Female & 8 & 20 & 12 \end{matrix}$ If one person is selected at random, find the probability of getting a person with age 21-50.

47.

The following table shows number of males and females of a locality in different age groups. Age in years10−2021−50Above 50Male15169Female82012 If one person is selected at random, find the probability of getting a person with age 21-50.

Answer»

The following table shows number of males and females of a locality in different age groups.

$\begin{matrix} Age in years & 10 - 20 & 21 - 50 & Above 50 Male & 15 & 16 & 9 Female & 8 & 20 & 12 \end{matrix}$

If one person is selected at random, find the probability of getting a person with age 21-50.

Discussion

48.	The generic form of the linear equation in two variables x and y, whose respective coefficients are 2 and -3 and has the constant as 4 is:
Answer» The generic form of the linear equation in two variables x and y, whose respective coefficients are 2 and -3 and has the constant as 4 is:

Discussion

49.	If a is an integer and b is a rational number, then the number of rational numbers between a and b is
Answer» If a is an integer and b is a rational number, then the number of rational numbers between a and b is

Discussion

50.

Following graph shows monthly expenditure (in Rs) of a family. What was the expenditure in the month of March?

Answer»

Following graph shows monthly expenditure (in Rs) of a family. What was the expenditure in the month of March?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Radha earns 22% of her investment. If she earns Rs. 187, then how much did she invest?

If3(t−3)=5(2t+1),then t=? (a) -2 (b) 2 (c) -3 (d) 3

A hollow garden roller of 42 cm diameter and length 152 cm is made of cast iron 2 cm thick. Find the volume of iron used in the roller.

The sum of two opposite angles of a parallelogram is 130∘. Find the measure of each of its angles.

Question 3 In a pie chart, the total angle at the centre of the circle is: (a) 180° (b) 360° (c) 270° (d) 90°

Question 88 Solve the following question: Write cubes of first three multiples of 3.

A protractor is in the shape of a ___.

Draw an equilateral triangle ABC of side 6 cm and find its incircle radius.

Fill in the blanks with the correct punctuation. Tahir ____Hussain____ was the one who agreed to train the boys.

Fill in the numbers from 1 to 6 without repetition, so that each side of the triangle adds up to 12.

One of the two digits of a two digit number is three times the other digit. If you interchange the digits of this two - digit number and add the resulting number to the original number, you get 88. What is the original number?

Question 66 (vi) How many edges does the following solid have? Kaleidoscope​​​​​​​

42.875 in exponential form.

The organisers of an essay competition decide that a winner in the competition gets prize of Rs 100 and the participant who does not win gets a prize of Rs 25. The total prize money distributed is Rs 3000. Find the number of winners if the total number of participants is 63

English alphabet "E" has ______ line of symmetry.

Given : In quadrilateral ABCD ; ∠C=64o, ∠D=∠C−8o;∠A=5(a+2)o and ∠B=2(2a+7)o.

Simplest form of the rational number 45/84 is:

Question 40 Fill in the blanks to make the statements true. The sides of a right-angled triangle whose hypotenuse is 17 cm are ___ and ___.

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

What is the last step in constructing a quadrilateral with 3 sides and 2 included angles given?

Question 73 Draw the line graph using a suitable scale to show the annual gross profit of a company for a period of five years. Years1st2nd3rd4th5thGross profit(in Rs.)17000001550000114000012100001490000

Find the mean of 9, 10, 8, 9, 12, 10. [2 MARKS]

The number of boys and girls in a class are in the ratio 3:5 respectively. If the number of girls are 12 more than the number of boys, find the total number of students in the class.

Simplify:(3x−7x)2−(7x−3x)2

Before a cricket match the officials wanted to check the distance of the boundary from the centre of the pitch, given that the ground is circular in shape. The entire boundary length is 628 m. Find its area in m2 .Take π = 3.14___

Find the difference between compound Interst and simple intrest on a sum of 64,000 at the rate of 20 % p.a compounded semi annually for 2 and a half years.

simplify: (31/16)3/4 * [(25/9)3/2 / (5/2)-3]

Let pqr be a three digit number. Then, pqr + qrp + rpq will not be always divisible by

If A, B, C, ..., X, Y, Z represent digits, which of the following could be a perfect square?

Is it possible to construct a unique quadrilateral ABCD with AB = 4cm, AD = 6cm, angleABC =60°, angleDAB = 75°, and angleADC =85°? If yes then how? Draw diagram and find value of angleBCD.

The letters of the words HELLO and THERE are written on individual cards and the cards placed into a bag.Acard is picked at random.Whar is the probability of picking: a.the letter L B. the letter E. C.the letter L orE D.the letter E or a consonant E. The letter L,E or T.

Question 2(ix) Factorise the following expressions x2yz+xy2z+xyz2

5x-2(2x-7)=2(3x-1)+7/2

Ravish brought 100 articles for ₹4000. He sold 20 of them at a gain of 5%. At what gain per cent must he sell the remaining articles so as to gain 20% on the whole?

A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A left after some days and then B completed the remaining work in 23 days. Number of days A and B worked together is

Why is 0 considered as an even number?

If 2x−12x=4; find :(i) 4x2+14x2(ii)8x3−18x3

Simplify: (5p2−25p+20)÷(p−4).

1 m3 = ______ litres.

The height of 10 students in a class are (in cm):- 135, 143, 132, 149, 150, 143, 158, 124, 143, 152 Pick the correct statements?

45 students across the different levels of Intelligent Quotient are distributed in the grouped table given below. IQ 60-70 70-80 80-90 90-100 100-110 110-120 120-130 No. of patients 3 6 9 11 11 7 2 Draw the frequency polygon for the data.

A diagonal of a quadrilateral divides it into _____ congruent triangles.

A number is as much greater than 21 as is less than 71. Find the no.

If the interest is credited to your account every 3 months, then the interest is compounded ________

The following table shows number of males and females of a locality in different age groups. Age in years10−2021−50Above 50Male15169Female82012 If one person is selected at random, find the probability of getting a person with age 21-50.

The generic form of the linear equation in two variables x and y, whose respective coefficients are 2 and -3 and has the constant as 4 is:

If a is an integer and b is a rational number, then the number of rational numbers between a and b is

Following graph shows monthly expenditure (in Rs) of a family. What was the expenditure in the month of March?

Fill in the blanks with the correct punctuation. Tahir Hussain was the one who agreed to train the boys.

Question 66 (vi) How many edges does the following solid have? Kaleidoscope

Question 40 Fill in the blanks to make the statements true. The sides of a right-angled triangle whose hypotenuse is 17 cm are _ and _.