25365 + Interview Questions in Mathematics

1.	Solve the following equations and verify your answer : 2x+13x−2=59
Answer» Solve the following equations and verify your answer : $\frac{2 x + 1}{3 x - 2} = \frac{5}{9}$

1.

Solve the following equations and verify your answer : 2x+13x−2=59

Answer»

Solve the following equations and verify your answer :

$\frac{2 x + 1}{3 x - 2} = \frac{5}{9}$

2.	The value of x(y+2)x if y = 2 is ___
Answer» The value of $\frac{x (y + 2)}{x}$ if y = 2 is ___

Discussion

3.	Question 180(v) Simplify (9)3×27×t4(3)−2×(3)4×t2
Answer» Question 180(v) Simplify $\frac{(9)^{3} \times 27 \times t^{4}}{(3)^{- 2} \times (3)^{4} \times t^{2}}$

3.

Question 180(v) Simplify (9)3×27×t4(3)−2×(3)4×t2

Answer»

Question 180(v)

Simplify

$\frac{(9)^{3} \times 27 \times t^{4}}{(3)^{- 2} \times (3)^{4} \times t^{2}}$

Discussion

4.	when the sales tax on an item is increased by 5%, the prise of packing the becomes Rs5600.What was the original prize of the packing of that item
Answer» when the sales tax on an item is increased by 5%, the prise of packing the becomes Rs5600.What was the original prize of the packing of that item

Discussion

5.	What must be added to x2+3x−8 to get x2+x+6?
Answer» What must be added to $x^{2} + 3 x - 8$ to get $x^{2} + x + 6$ ?

Discussion

6.	Question 84 (xii)Simplify(pq−qr)2+4pq2r
Answer» Question 84 (xii) Simplify $(p q - q r)^{2} + 4 p q^{2} r$

6.

Question 84 (xii)Simplify(pq−qr)2+4pq2r

Answer»

Question 84 (xii)

Simplify

$(p q - q r)^{2} + 4 p q^{2} r$

Discussion

7.	A rectangular park is of length 48 cm and breadth 32 cm. It is paved for gardening along its boundary. If the width of the flower bed is 3 cm, find the area to be used for gardening.
Answer» A rectangular park is of length 48 cm and breadth 32 cm. It is paved for gardening along its boundary. If the width of the flower bed is 3 cm, find the area to be used for gardening.

Discussion

8.	If the population of a town at present is 10648 and the rate of increment is 10 per year. What was the population before 3 years? ___
Answer» If the population of a town at present is $10648$ and the rate of increment is $10$ per year. What was the population before $3$ years? ___

Discussion

9.	Using identities,evaluate. (A) 1.05×9.5
Answer» Using identities,evaluate. (A) 1.05×9.5

Discussion

10.	Q: Which of the following point does not lie on the line y = 3x + 4? 1) (-1, 1)2) (4, 12) 3) (1, 7) 4) (2, 10)
Answer» Q: Which of the following point does not lie on the line y = 3x + 4? 1) (-1, 1) 2) (4, 12) 3) (1, 7) 4) (2, 10)

Discussion

11.	We have drawn the bar graph showing the daily wages of 30 labourers in Anantapuri village. Now draw a line graph of this data.
Answer» We have drawn the bar graph showing the daily wages of 30 labourers in Anantapuri village. Now draw a line graph of this data.

11.

We have drawn the bar graph showing the daily wages of 30 labourers in Anantapuri village. Now draw a line graph of this data.

Answer»

We have drawn the bar graph showing the daily wages of 30 labourers in Anantapuri village. Now draw a line graph of this data.

Discussion

12.	If 49 A and A49, where A > 0, have a common factor, find all possible values of A.
Answer» If 49 A and A49, where A > 0, have a common factor, find all possible values of A.

Discussion

13.	How to solve this 36√6 ?
Answer» How to solve this $36 \sqrt{6}$ ?

Discussion

14.	The length and breadth of rectangular park is 13onebytwo metre and 7onebyfour metre, recpectively.find the perimetre of the park
Answer» The length and breadth of rectangular park is 13onebytwo metre and 7onebyfour metre, recpectively.find the perimetre of the park

Discussion

15.	The diagonals of a rhombus are 7.5 cm and 12 cm.Find its area.
Answer» The diagonals of a rhombus are 7.5 cm and 12 cm.Find its area.

Discussion

16.	The following data tells about the number of runs scored by 20 players in a ranji match. Arrange the given data in grouped frequency distribution.1115232531333942434951566575798999989291
Answer» The following data tells about the number of runs scored by 20 players in a ranji match. Arrange the given data in grouped frequency distribution. $\begin{matrix} 11 & 15 & 23 & 25 & 31 & 33 & 39 & 42 & 43 & 49 51 & 56 & 65 & 75 & 79 & 89 & 99 & 98 & 92 & 91 \end{matrix}$

16.

The following data tells about the number of runs scored by 20 players in a ranji match. Arrange the given data in grouped frequency distribution.1115232531333942434951566575798999989291

Answer»

The following data tells about the number of runs scored by 20 players in a ranji match. Arrange the given data in grouped frequency distribution.

$\begin{matrix} 11 & 15 & 23 & 25 & 31 & 33 & 39 & 42 & 43 & 49 51 & 56 & 65 & 75 & 79 & 89 & 99 & 98 & 92 & 91 \end{matrix}$

Discussion

17.	Consider the following triangle, Choose the correct one.
Answer» Consider the following triangle, Choose the correct one.

17.

Consider the following triangle, Choose the correct one.

Answer»

Consider the following triangle,

Choose the correct one.

Discussion

18.	Question 99 A river 2 m deep and 45 m wide is flowing at the rate of 3 km per hour. Find the amount of water in cubic metres that runs into the sea per minute.
Answer» Question 99 A river 2 m deep and 45 m wide is flowing at the rate of 3 km per hour. Find the amount of water in cubic metres that runs into the sea per minute.

18.

Question 99 A river 2 m deep and 45 m wide is flowing at the rate of 3 km per hour. Find the amount of water in cubic metres that runs into the sea per minute.

Answer»

Question 99

A river 2 m deep and 45 m wide is flowing at the rate of 3 km per hour. Find the amount of water in cubic metres that runs into the sea per minute.

Discussion

19.	The factors of the expression a+b+c+2ab-2bc-2ca are ____________.
Answer» The factors of the expression $a + b + c + 2 \sqrt{a b} - 2 \sqrt{b c} - 2 \sqrt{c a}$ are ____________.

Discussion

20.	Find the value of x in the following equation: 4(x+2)5=7+5x13
Answer» Find the value of x in the following equation: $\frac{4 (x + 2)}{5} = 7 + \frac{5 x}{13}$

20.

Find the value of x in the following equation: 4(x+2)5=7+5x13

Answer»

Find the value of x in the following equation:

$\frac{4 (x + 2)}{5} = 7 + \frac{5 x}{13}$

Discussion

21.	Fill in the BlanksQuestion 16The process of fixing a point with the help of the coordinate is known as___ of the point.
Answer» Fill in the Blanks Question 16 The process of fixing a point with the help of the coordinate is known as___ of the point.

Discussion

22.	A garrison of 2800 men has provision for 36 months at the rate of 396 gm per man per day. How many men should leave so that the same provisions may last for 42 months at the rate of 432gm per day?___
Answer» A garrison of 2800 men has provision for 36 months at the rate of 396 gm per man per day. How many men should leave so that the same provisions may last for 42 months at the rate of 432gm per day? ___

Discussion

23.	Is the given figure a quadrilateral?
Answer» Is the given figure a quadrilateral?

Discussion

24.	Water is flowing through a cylindrical pipe, of internal diameter 2 cm, into a cylindrical tank of base radius 40 cm, at the rate of 0.4 m/s. Determine the rise in level of water in the tank in half an hour.
Answer» Water is flowing through a cylindrical pipe, of internal diameter 2 cm, into a cylindrical tank of base radius 40 cm, at the rate of 0.4 m/s. Determine the rise in level of water in the tank in half an hour.

Discussion

25.	There are 1000 children in a school. For a P.T. drill, they have to stand in such a manner that the number of rows is equal to the number of columns. How many children would be left out of this arrangement?
Answer» There are 1000 children in a school. For a P.T. drill, they have to stand in such a manner that the number of rows is equal to the number of columns. How many children would be left out of this arrangement?

Discussion

26.	20. Let n1 and n2 be the no. of red and black balls , respectively , in box I . Let n3 and n4 be the no. of red and black balls , respectively , in box II . One of the two boxes , box I and box II , selected at random and a ball was drawn randomly out of this box . The ball was found to be red . If the probability that this red ball was drawn from box II is 1/3 , then the correct options with the possible values of n1 , n2 , n3 and n4 is (1) n1 = 3 , n2 = 3 , n3 = 5 , n4 = 15 (2) n1 = 3 , n2 = 6 , n3 = 10 , n4 = 50 (3) n1 = 8 , n2 = 6 , n3 = 5 , n4 = 5 (4) n1 = 6 , n2 = 12 , n3 = 5 , n4 = 20
Answer» 20. Let n1 and n2 be the no. of red and black balls , respectively , in box I . Let n3 and n4 be the no. of red and black balls , respectively , in box II . One of the two boxes , box I and box II , selected at random and a ball was drawn randomly out of this box . The ball was found to be red . If the probability that this red ball was drawn from box II is 1/3 , then the correct options with the possible values of n1 , n2 , n3 and n4 is (1) n1 = 3 , n2 = 3 , n3 = 5 , n4 = 15 (2) n1 = 3 , n2 = 6 , n3 = 10 , n4 = 50 (3) n1 = 8 , n2 = 6 , n3 = 5 , n4 = 5 (4) n1 = 6 , n2 = 12 , n3 = 5 , n4 = 20

Discussion

27.	The outer angles of the triangle are in the ratio 4:5:6. Find the measures of the smallest angle.
Answer» The outer angles of the triangle are in the ratio $4 : 5 : 6$ . Find the measures of the smallest angle.

Discussion

28.	Find which of the following numbers are divisible by 5 : (i) 3250 (ii) 5557 (iii) 39255 (iv) 8204
Answer» Find which of the following numbers are divisible by 5 : (i) 3250 (ii) 5557 (iii) 39255 (iv) 8204

28.

Find which of the following numbers are divisible by 5 : (i) 3250 (ii) 5557 (iii) 39255 (iv) 8204

Answer»

Find which of the following numbers are divisible by 5 :

(i) 3250 (ii) 5557

(iii) 39255 (iv) 8204

Discussion

29.	if {}^{16}C_r={}^{16}C_{2r+1} find the value of
Answer» if {}^{16}C_r={}^{16}C_{2r+1} find the value of

Discussion

30.	Question 87(v) The students of class VII have to choose one club from Music, Dance, Yoga, Dramatics, Fine arts and Electronics clubs. The data given below shows the choices made by girls and boys of the class study the table and answer the question that follows: For which club the difference between boys and girls is the least?
Answer» Question 87(v) The students of class VII have to choose one club from Music, Dance, Yoga, Dramatics, Fine arts and Electronics clubs. The data given below shows the choices made by girls and boys of the class study the table and answer the question that follows: For which club the difference between boys and girls is the least?

Discussion

31.	Let G be a finite group on 84 elements. The size of a largest possible proper subgroup of G is42
Answer» Let $G$ be a finite group on 84 elements. The size of a largest possible proper subgroup of $G$ is 42

Discussion

32.	If a, b and c represent the number of uppercase English alphabetshaving zero, one, two lines of symmetry respectively, then find the value of a - b + c.
Answer» If a, b and c represent the number of uppercase English alphabets having zero, one, two lines of symmetry respectively, then find the value of a - b + c.

Discussion

33.	Construction of quadrilaterals when four sides and one diagonal are given: 1. Construct a quadrilateral ABCD in which AB = 4.8 cm, BC = 4.3 cm, CD = 3.6 cm, AD = 4.2 cm and diagonal AC = 6 cm.
Answer» Construction of quadrilaterals when four sides and one diagonal are given: 1. Construct a quadrilateral ABCD in which AB = 4.8 cm, BC = 4.3 cm, CD = 3.6 cm, AD = 4.2 cm and diagonal AC = 6 cm.

Discussion

34.	Question 77Rational numbers are closed under addition and multiplication but not under subtraction.
Answer» Question 77 Rational numbers are closed under addition and multiplication but not under subtraction.

Discussion

35.	12 men can do a work in 9 days. If 6 more men are engaged to do the same work, then how long will it take to complete the same work?
Answer» 12 men can do a work in 9 days. If 6 more men are engaged to do the same work, then how long will it take to complete the same work?

Discussion

36.	How many numbers are there between the squares of a 84 and 85
Answer» How many numbers are there between the squares of a 84 and 85

Discussion

37.	Show that the value of x3−8x2+12x−5 is zero when x=1.
Answer» Show that the value of $x^{3} - 8 x^{2} + 12 x - 5$ is zero when $x = 1$ .

Discussion

38.	The angle subtended by blue portion at the center of following pie-chart is _____(in degrees).234
Answer» The angle subtended by blue portion at the center of following pie-chart is _____(in degrees). 234

Discussion

39.	8x=37^2-29^2Find the value of x
Answer» 8x=37^2-29^2 Find the value of x

Discussion

40.	If dividing the 3 digit number "3BA" by 10 gives 34 without leaving any remainder, the values of B and A are:
Answer» If dividing the 3 digit number "3BA" by 10 gives 34 without leaving any remainder, the values of B and A are:

Discussion

41.	Find the missing term in the sequence –––,28,36,84,72,252,144.
Answer» Find the missing term in the sequence $- - -, 28, 36, 84, 72, 252, 144.$

Discussion

42.	Given table shows the weight of 5 students. The difference between the weights of the heaviest and the lightest student is _______.Name of studentWeightArjun50 kgShalini49 kgRohan62 kgShyam58 kgMohith37 kg
Answer» Given table shows the weight of 5 students. The difference between the weights of the heaviest and the lightest student is _______. $\begin{matrix} N a m e o f s t u d e n t & W e i g h t A r j u n & 50 k g S h a l i n i & 49 k g R o h a n & 62 k g S h y a m & 58 k g M o h i t h & 37 k g \end{matrix}$

Discussion

43.	Which of the following lies between -1 and 1?
Answer» Which of the following lies between -1 and 1?

Discussion

44.	Just by looking at the numbers, identify which of the following cannot be a perfect square.
Answer» Just by looking at the numbers, identify which of the following cannot be a perfect square.

Discussion

45.	Find the reduced form of the ratio of the first quantity to second quantity.(i) 700 rs, 308 rs (ii) 14 rs, 12 rs. 40 paise. (iii) 5 litre, 2500 ml (iv) 3 years 4 months, 5years 8 months (v) 3.8 kg, 1900 gm (vi) 7 minutes 20 seconds, 5 minutes 6 seconds.
Answer» Find the reduced form of the ratio of the first quantity to second quantity. (i) 700 rs, 308 rs (ii) 14 rs, 12 rs. 40 paise. (iii) 5 litre, 2500 ml (iv) 3 years 4 months, 5years 8 months (v) 3.8 kg, 1900 gm (vi) 7 minutes 20 seconds, 5 minutes 6 seconds.

Discussion

46.	Find the square of 59 without direct multiplication.
Answer» Find the square of 59 without direct multiplication.

Discussion

47.	Construct a triangle ABC whose perimeter is 9 cm and the angles are in the ratio 3:4:5.
Answer» Construct a triangle ABC whose perimeter is 9 cm and the angles are in the ratio 3:4:5.

Discussion

48.	What is the significance of rate constant
Answer» What is the significance of rate constant

Discussion

49.	A can finish a work in 10 days, then A can finish twice work in __________.
Answer» A can finish a work in 10 days, then A can finish twice work in __________.

Discussion

50.	The diameter of a cylindrical closed bottle is 28 cm and its height is 40 cm. What is the total surface area of the bottle?
Answer» The diameter of a cylindrical closed bottle is 28 cm and its height is 40 cm. What is the total surface area of the bottle?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Solve the following equations and verify your answer : 2x+13x−2=59

The value of x(y+2)x if y = 2 is ___

Question 180(v) Simplify (9)3×27×t4(3)−2×(3)4×t2

when the sales tax on an item is increased by 5%, the prise of packing the becomes Rs5600.What was the original prize of the packing of that item

What must be added to x2+3x−8 to get x2+x+6?

Question 84 (xii)Simplify(pq−qr)2+4pq2r

A rectangular park is of length 48 cm and breadth 32 cm. It is paved for gardening along its boundary. If the width of the flower bed is 3 cm, find the area to be used for gardening.

If the population of a town at present is 10648 and the rate of increment is 10 per year. What was the population before 3 years? ___

Using identities,evaluate. (A) 1.05×9.5

Q: Which of the following point does not lie on the line y = 3x + 4? 1) (-1, 1)2) (4, 12) 3) (1, 7) 4) (2, 10)

We have drawn the bar graph showing the daily wages of 30 labourers in Anantapuri village. Now draw a line graph of this data.

If 49 A and A49, where A &gt; 0, have a common factor, find all possible values of A.

How to solve this 36√6 ?

The length and breadth of rectangular park is 13onebytwo metre and 7onebyfour metre, recpectively.find the perimetre of the park

The diagonals of a rhombus are 7.5 cm and 12 cm.Find its area.

The following data tells about the number of runs scored by 20 players in a ranji match. Arrange the given data in grouped frequency distribution.1115232531333942434951566575798999989291

Consider the following triangle, Choose the correct one.

Question 99 A river 2 m deep and 45 m wide is flowing at the rate of 3 km per hour. Find the amount of water in cubic metres that runs into the sea per minute.

The factors of the expression a+b+c+2ab-2bc-2ca are ____________.

Find the value of x in the following equation: 4(x+2)5=7+5x13

Fill in the BlanksQuestion 16The process of fixing a point with the help of the coordinate is known as___ of the point.

A garrison of 2800 men has provision for 36 months at the rate of 396 gm per man per day. How many men should leave so that the same provisions may last for 42 months at the rate of 432gm per day?___

Is the given figure a quadrilateral?

Water is flowing through a cylindrical pipe, of internal diameter 2 cm, into a cylindrical tank of base radius 40 cm, at the rate of 0.4 m/s. Determine the rise in level of water in the tank in half an hour.

There are 1000 children in a school. For a P.T. drill, they have to stand in such a manner that the number of rows is equal to the number of columns. How many children would be left out of this arrangement?

The outer angles of the triangle are in the ratio 4:5:6. Find the measures of the smallest angle.

Find which of the following numbers are divisible by 5 : (i) 3250 (ii) 5557 (iii) 39255 (iv) 8204

if {}^{16}C_r={}^{16}C_{2r+1} find the value of

Let G be a finite group on 84 elements. The size of a largest possible proper subgroup of G is42

If a, b and c represent the number of uppercase English alphabetshaving zero, one, two lines of symmetry respectively, then find the value of a - b + c.

Construction of quadrilaterals when four sides and one diagonal are given: 1. Construct a quadrilateral ABCD in which AB = 4.8 cm, BC = 4.3 cm, CD = 3.6 cm, AD = 4.2 cm and diagonal AC = 6 cm.

Question 77Rational numbers are closed under addition and multiplication but not under subtraction.

12 men can do a work in 9 days. If 6 more men are engaged to do the same work, then how long will it take to complete the same work?

How many numbers are there between the squares of a 84 and 85

Show that the value of x3−8x2+12x−5 is zero when x=1.

The angle subtended by blue portion at the center of following pie-chart is _____(in degrees).234

8x=37^2-29^2Find the value of x

If dividing the 3 digit number "3BA" by 10 gives 34 without leaving any remainder, the values of B and A are:

Find the missing term in the sequence –––,28,36,84,72,252,144.

Given table shows the weight of 5 students. The difference between the weights of the heaviest and the lightest student is _______.Name of studentWeightArjun50 kgShalini49 kgRohan62 kgShyam58 kgMohith37 kg

Which of the following lies between -1 and 1?

Just by looking at the numbers, identify which of the following cannot be a perfect square.

Find the reduced form of the ratio of the first quantity to second quantity.(i) 700 rs, 308 rs (ii) 14 rs, 12 rs. 40 paise. (iii) 5 litre, 2500 ml (iv) 3 years 4 months, 5years 8 months (v) 3.8 kg, 1900 gm (vi) 7 minutes 20 seconds, 5 minutes 6 seconds.

Find the square of 59 without direct multiplication.

Construct a triangle ABC whose perimeter is 9 cm and the angles are in the ratio 3:4:5.

What is the significance of rate constant

A can finish a work in 10 days, then A can finish twice work in __________.

The diameter of a cylindrical closed bottle is 28 cm and its height is 40 cm. What is the total surface area of the bottle?

If 49 A and A49, where A > 0, have a common factor, find all possible values of A.