25365 + Interview Questions in Mathematics Page 2 InterviewSolution

51.	What is the condition for the quotient of two perfect squares to be also a perfect square?
Answer» What is the condition for the quotient of two perfect squares to be also a perfect square?

Discussion

52.	A function f : R+ → R+ defined as(f(xy))^2 = x(f(y))^2 : f(2) = 6Then f(100) is equal to
Answer» A function f : R+ → R+ defined as (f(xy))^2 = x(f(y))^2 : f(2) = 6 Then f(100) is equal to

Discussion

53.	The value of (908)2 by visualizing the identity (a+b)2=a2+2ab+b2 is .
Answer» The value of $(908)^{2}$ by visualizing the identity $(a + b)^{2} = a^{2} + 2 a b + b^{2}$ is .

Discussion

54.	In a parallelogram , one angle is 45th of its adjacent angle. Then the angles of the parallelogram are
Answer» In a parallelogram , one angle is $\frac{4}{5}$ ^th of its adjacent angle. Then the angles of the parallelogram are

Discussion

55.	State the condition for congruency of two line segments.
Answer» State the condition for congruency of two line segments.

Discussion

56.	THE VALUE OF 5^6BY 2^8MULTIPLY 2BY5 WHOLE CUBE MULTIPLY 16 BY 25
Answer» THE VALUE OF 5^6BY 2^8MULTIPLY 2BY5 WHOLE CUBE MULTIPLY 16 BY 25

Discussion

57.	Question 68Mukesh walks around a circular track of radius 14 m with a speed of 4 km/h. If he takes 20 rounds of the track, for how long does he walk?
Answer» Question 68 Mukesh walks around a circular track of radius 14 m with a speed of 4 km/h. If he takes 20 rounds of the track, for how long does he walk?

57.

Question 68Mukesh walks around a circular track of radius 14 m with a speed of 4 km/h. If he takes 20 rounds of the track, for how long does he walk?

Answer»

Question 68

Mukesh walks around a circular track of radius 14 m with a speed of 4 km/h. If he takes 20 rounds of the track, for how long does he walk?

Discussion

58.	Find the median of the data: 22, 28, 34, 49, 44, 57, 18, 10, 33, 41, 66, 59.
Answer» Find the median of the data: 22, 28, 34, 49, 44, 57, 18, 10, 33, 41, 66, 59.

Discussion

59.	Find the common factors of the terms(i) 12x,36(ii) 2y,22xy(iii) 14pq,28p2q2(iv) 2x,3x2,4(v) 6abc,24ab2,12a2b(vi) 16x3,−4x2,32x(vii) 10pq,20qr,30rp(viii) 3x2y3,10x3y2,6x2y2z
Answer» Find the common factors of the terms (i) $12 x, 36$ (ii) $2 y, 22 x y$ (iii) $14 p q, 28 p^{2} q^{2}$ (iv) $2 x, 3 x^{2}, 4$ (v) $6 a b c, 24 a b^{2}, 12 a^{2} b$ (vi) $16 x^{3}, - 4 x^{2}, 32 x$ (vii) $10 p q, 20 q r, 30 r p$ (viii) $3 x^{2} y^{3}, 10 x^{3} y^{2}, 6 x^{2} y^{2} z$

59.

Find the common factors of the terms(i) 12x,36(ii) 2y,22xy(iii) 14pq,28p2q2(iv) 2x,3x2,4(v) 6abc,24ab2,12a2b(vi) 16x3,−4x2,32x(vii) 10pq,20qr,30rp(viii) 3x2y3,10x3y2,6x2y2z

Answer»

Find the common factors of the terms

(i) $12 x, 36$

(ii) $2 y, 22 x y$

(iii) $14 p q, 28 p^{2} q^{2}$

(iv) $2 x, 3 x^{2}, 4$

(v) $6 a b c, 24 a b^{2}, 12 a^{2} b$

(vi) $16 x^{3}, - 4 x^{2}, 32 x$

(vii) $10 p q, 20 q r, 30 r p$

(viii) $3 x^{2} y^{3}, 10 x^{3} y^{2}, 6 x^{2} y^{2} z$

Discussion

60.	Find SP if MP of a fridge is 12000 and continued discount of 10% and 20% .
Answer» Find SP if MP of a fridge is 12000 and continued discount of 10% and 20% .

Discussion

61.	If the square of a number ends with 10 zeroes, how many zeroes will the number have ?
Answer» If the square of a number ends with 10 zeroes, how many zeroes will the number have ?

Discussion

62.	sheela is now 15 years older than her yonger brother Sanjay ten years from now sheela will be twice as old as sanjay find the present age of each
Answer» sheela is now 15 years older than her yonger brother Sanjay ten years from now sheela will be twice as old as sanjay find the present age of each

Discussion

63.	How many digits will be there before the decimal in the square root of 759589598?
Answer» How many digits will be there before the decimal in the square root of 759589598?

Discussion

64.	which thermodynamic parameter does not depend only on initial and final state 1.q at cons†an t pressure 2.q at cons†an t volume 3.w at adiabatic 4, w at isother
Answer» which thermodynamic parameter does not depend only on initial and final state 1.q at cons†an t pressure 2.q at cons†an t volume 3.w at adiabatic 4, w at isother

Discussion

65.	A man sold his bicycle for 405 losing one-tenth of its cost price. Find : (i) its cost price; (ii) the loss percent.
Answer» A man sold his bicycle for 405 losing one-tenth of its cost price. Find : (i) its cost price; (ii) the loss percent.

Discussion

66.	Question 37If x varies inversely as y and x=4 when y =6, when x =3, then value of y is___
Answer» Question 37 If x varies inversely as y and x=4 when y =6, when x =3, then value of y is___

66.

Question 37If x varies inversely as y and x=4 when y =6, when x =3, then value of y is___

Answer»

Question 37

If x varies inversely as y and x=4 when y =6, when x =3, then value of y is___

Discussion

67.

(क) तुम पेड़ों को बचाने के लिए क्या कुछ कर सकते हो? बताओ। (ख) कविता में कवि ने बगीचे के बारे में बहुत कुछ बताया है। बताओ, नीचे लिखी चीज़ों में से कौन-सी चीज़ें बगीचे में होंगी? कार फूल क्यारियाँ चिड़ियाँ सड़क फल खेत तालाब कारखाने पेड़ कुर्सी कागज़ पत्ता टहनी

Answer»

(क) तुम पेड़ों को बचाने के लिए क्या कुछ कर सकते हो? बताओ।

(ख) कविता में कवि ने बगीचे के बारे में बहुत कुछ बताया है। बताओ, नीचे लिखी चीज़ों में से कौन-सी चीज़ें बगीचे में होंगी?

कार	फूल
क्यारियाँ	चिड़ियाँ
सड़क	फल
खेत	तालाब
कारखाने	पेड़
कुर्सी	कागज़
पत्ता	टहनी

Discussion

68.	In the given figure, OA=OB then which of the following is correct ?
Answer» In the given figure, $O A = O B$ then which of the following is correct ?

Discussion

69.	90 men can complete a work in 24 days working 8 hours a day. How many men are required to complete the same work in 18 days working 712 hours a day?
Answer» 90 men can complete a work in 24 days working 8 hours a day. How many men are required to complete the same work in 18 days working $7 \frac{1}{2}$ hours a day?

Discussion

70.	Daljit received a sum of Rs. 40000 as a loan from a finance company. If the rate of interest is 7% per annum compounded annually, calculate the compound interest that Daljit pays after 2 years.
Answer» Daljit received a sum of Rs. 40000 as a loan from a finance company. If the rate of interest is $7 %$ per annum compounded annually, calculate the compound interest that Daljit pays after 2 years.

Discussion

71.	Evaluate the product (5a−3b)(4a+7b) using distributive property.
Answer» Evaluate the product $(5 a - 3 b) (4 a + 7 b)$ using distributive property.

Discussion

72.	A cube of lead which adges measuring 6 cm is melted and formed into 27 equal cubes what will be the length of the edges of the new cubes?
Answer» A cube of lead which adges measuring 6 cm is melted and formed into 27 equal cubes what will be the length of the edges of the new cubes?

Discussion

73.	Rationalize the denominator of the expression 4√8−√2.
Answer» Rationalize the denominator of the expression $\frac{4}{\sqrt{8} - \sqrt{2}} .$

Discussion

74.	X^2 -2(k+1)x+k^2= 0
Answer» X^2 -2(k+1)x+k^2= 0

Discussion

75.	Find the mean age in years from the frequency distribution given below:Class interval of age in yearsFrequency(fi)25−29430−341435−392240−441645−49650−54555−593Total70
Answer» Find the mean age in years from the frequency distribution given below: $\begin{matrix} Class interval of age in years & Frequency (f_{i}) 25 - 29 & 4 30 - 34 & 14 35 - 39 & 22 40 - 44 & 16 45 - 49 & 6 50 - 54 & 5 55 - 59 & 3 Total & 70 \end{matrix}$

Discussion

76.	Water in a river 6m wide and 1.5m deep flows with a speed of 10km/hr. How much area will it irrigate in half an hour if 8cm of standing water is needed?
Answer» Water in a river 6m wide and 1.5m deep flows with a speed of 10km/hr. How much area will it irrigate in half an hour if 8cm of standing water is needed?

Discussion

77.	If the edge of a cube is doubled, the surface area will increase
Answer» If the edge of a cube is doubled, the surface area will increase

Discussion

78.	Find the value of expression 36x2+64y2+96xy, When x=23 and y=34.
Answer» Find the value of expression $36 x^{2} + 64 y^{2} + 96 x y$ , When $x = \frac{2}{3}$ and $y = \frac{3}{4}$ .

Discussion

79.	Question 87(iii)Classify the following statements under appropriate headings.Sun setting in the evening?Certain to happenImpossible to happenMay or may not happen
Answer» Question 87(iii) Classify the following statements under appropriate headings. Sun setting in the evening? $\begin{matrix} Certain to happen & Impossible to happen & May or may not happen \end{matrix}$

79.

Question 87(iii)Classify the following statements under appropriate headings.Sun setting in the evening?Certain to happenImpossible to happenMay or may not happen

Answer»

Question 87(iii)

Classify the following statements under appropriate headings.

Sun setting in the evening?

$\begin{matrix} Certain to happen & Impossible to happen & May or may not happen \end{matrix}$

Discussion

80.	When two fluids of different densities having volume of 4 L and 5 L, respectively are mixed, it results in a mass of 53 pounds. When the same two liquids are mixed in the reversed proportion, the resulting mass is increased by 2 pounds. Find the ratio of densities of the two liquids.
Answer» When two fluids of different densities having volume of $4 L$ and $5 L,$ respectively are mixed, it results in a mass of $53 pounds .$ When the same two liquids are mixed in the reversed proportion, the resulting mass is increased by $2 pounds .$ Find the ratio of densities of the two liquids.

Discussion

81.	Complete the series1,0,3,2,5,6,?
Answer» Complete the series 1,0,3,2,5,6,?

Discussion

82.	Question 23 In the given question, fill in the blanks to make the statement true. The difference of a three-digit number and the number obtained by putting the digits in reverse order is always divisible by 9 and ___.
Answer» Question 23 In the given question, fill in the blanks to make the statement true. The difference of a three-digit number and the number obtained by putting the digits in reverse order is always divisible by 9 and ___.

Discussion

83.	Solve for y if :(19)2y−1(.0081)13√243=(13)2y−53√27y−110000
Answer» Solve for y if : $\frac{{(\frac{1}{9})}^{2 y - 1} (.0081)^{\frac{1}{3}}}{\sqrt{243}} = {(\frac{1}{3})}^{2 y - 5} \sqrt[3]{\frac{27^{y - 1}}{10000}}$

Discussion

84.	x2 + (a + b)x + ab can be factorised as ______ .
Answer» x² + (a + b)x + ab can be factorised as ______ .

Discussion

85.	For rational numbers ab,cd and ef, what is ab×(cd+ef)?
Answer» For rational numbers $\frac{a}{b}, \frac{c}{d}$ and $\frac{e}{f}$ , what is $\frac{a}{b} \times (\frac{c}{d} + \frac{e}{f})$ ?

Discussion

86.	The number of students whose height is more than 150 cm is
Answer» The number of students whose height is more than 150 cm is

86.

The number of students whose height is more than 150 cm is

Answer»

The number of students whose height is more than 150 cm is

Discussion

87.	Find the area of a trapezium whose parallel sides are 25 cm,13 cm and other sides are 15 cm each.
Answer» Find the area of a trapezium whose parallel sides are 25 cm,13 cm and other sides are 15 cm each.

Discussion

88.	X and Y vary in inverse proportion. When X is 12, Y is 3. Which of the following is not a possible pair of corresponding values of X and Y? (A) 4,9 (B) 10,3.6 (C) 72,0.5 (D) 5,6
Answer» $X$ and $Y$ vary in inverse proportion. When $X$ is $12$ , $Y$ is $3$ . Which of the following is not a possible pair of corresponding values of $X$ and $Y ?$ (A) $4, 9$ (B) $10, 3.6$ (C) $72, 0.5$ (D) $5, 6$

88.

X and Y vary in inverse proportion. When X is 12, Y is 3. Which of the following is not a possible pair of corresponding values of X and Y? (A) 4,9 (B) 10,3.6 (C) 72,0.5 (D) 5,6

Answer»

$X$ and $Y$ vary in inverse proportion. When $X$ is $12$ , $Y$ is $3$ . Which of the following is not a possible pair of corresponding values of $X$ and $Y ?$

(A) $4, 9$ (B) $10, 3.6$ (C) $72, 0.5$ (D) $5, 6$

Discussion

89.	A bank offers 5% compound interest calculated on a half-yearly basis. A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:
Answer» A bank offers 5% compound interest calculated on a half-yearly basis. A customer deposits Rs. 1600 each on 1^st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:

Discussion

90.	The area of a rhombus is 240 cm2 and one of the diagonal is 16 cm.Find another diagonal.
Answer» The area of a rhombus is 240 $c m^{2}$ and one of the diagonal is 16 cm.Find another diagonal.

Discussion

91.	The arithmetic mean of 1, 2, 3, 4, 5, ……., n is ____.
Answer» The arithmetic mean of 1, 2, 3, 4, 5, ……., n is ____.

Discussion

92.	A manufacturer reckons that the value of a machine, which cost him Rs. 15625 will depreciate each year by 20%. Find the estimated value at the end of 5 years.
Answer» A manufacturer reckons that the value of a machine, which cost him Rs. 15625 will depreciate each year by $20 %$ . Find the estimated value at the end of 5 years.

Discussion

93.	Question 5 (ii)A study was conducted to find out the concentration of sulphur dioxide in the air in parts per million (ppm) of a certain city. The data obtained for 30 days is as follows:0.030.080.080.090.040.170.160.050.020.060.180.200.110.080.120.130.220.070.080.010.100.060.090.180.110.070.050.070.010.04(ii) For how many days, was the concentration of sulphur dioxide more than 0.11 parts per million?
Answer» Question 5 (ii) A study was conducted to find out the concentration of sulphur dioxide in the air in parts per million (ppm) of a certain city. The data obtained for 30 days is as follows: $\begin{matrix} 0.03 & 0.08 & 0.08 & 0.09 & 0.04 & 0.17 0.16 & 0.05 & 0.02 & 0.06 & 0.18 & 0.20 0.11 & 0.08 & 0.12 & 0.13 & 0.22 & 0.07 0.08 & 0.01 & 0.10 & 0.06 & 0.09 & 0.18 0.11 & 0.07 & 0.05 & 0.07 & 0.01 & 0.04 \end{matrix}$ (ii) For how many days, was the concentration of sulphur dioxide more than 0.11 parts per million?

Discussion

94.	Given a cylindricaltank, in which situation will you find surface area and in whichsituation volume.(a) To find how much itcan hold(b) Number of cementbags required to plaster it(c) Tofind the number of smaller tanks that can be filled with water fromit.
Answer» Given a cylindrical tank, in which situation will you find surface area and in which situation volume. (a) To find how much it can hold (b) Number of cement bags required to plaster it (c) To find the number of smaller tanks that can be filled with water from it.

94.

Given a cylindricaltank, in which situation will you find surface area and in whichsituation volume.(a) To find how much itcan hold(b) Number of cementbags required to plaster it(c) Tofind the number of smaller tanks that can be filled with water fromit.

Answer»

Given a cylindrical
tank, in which situation will you find surface area and in which
situation volume.

(a) To find how much it
can hold

(b) Number of cement
bags required to plaster it

(c) To
find the number of smaller tanks that can be filled with water from
it.

Discussion

95.	Question 88 (xi) Factorise the following expression. a3+a2+a+1
Answer» Question 88 (xi) Factorise the following expression. $a^{3} + a^{2} + a + 1$

Discussion

96.	Prime factorization of 1400:
Answer» Prime factorization of 1400:

Discussion

97.	Consider the given figure. P is the centre of the circle.The radius of the circle is units
Answer» Consider the given figure. P is the centre of the circle. The radius of the circle is units

Discussion

98.	(i) How are prisms and cylinders alike? (ii) How are pyramids and cones alike?
Answer» (i) How are prisms and cylinders alike? (ii) How are pyramids and cones alike?

98.

(i) How are prisms and cylinders alike? (ii) How are pyramids and cones alike?

Answer»

(i) How
are prisms and cylinders alike?

(ii) How
are pyramids and cones alike?

Discussion

99.	Question 91Following are the numbers of members in 25 families of a village :6, 8, 7, 7, 6, 5, 3, 2, 5, 6, 8, 7, 7, 4, 3, 6, 6, 6, 7, 5, 4, 3, 3, 2, 5 Prepare a frequency distribution table for the data using class intervals 0-2, 2-4 etc.
Answer» Question 91 Following are the numbers of members in 25 families of a village :6, 8, 7, 7, 6, 5, 3, 2, 5, 6, 8, 7, 7, 4, 3, 6, 6, 6, 7, 5, 4, 3, 3, 2, 5 Prepare a frequency distribution table for the data using class intervals 0-2, 2-4 etc.

99.

Question 91Following are the numbers of members in 25 families of a village :6, 8, 7, 7, 6, 5, 3, 2, 5, 6, 8, 7, 7, 4, 3, 6, 6, 6, 7, 5, 4, 3, 3, 2, 5 Prepare a frequency distribution table for the data using class intervals 0-2, 2-4 etc.

Answer»

Question 91

Following are the numbers of members in 25 families of a village :6, 8, 7, 7, 6, 5, 3, 2, 5, 6, 8, 7, 7, 4, 3, 6, 6, 6, 7, 5, 4, 3, 3, 2, 5 Prepare a frequency distribution table for the data using class intervals 0-2, 2-4 etc.

Discussion

100.	Find the value of 232by using identities.
Answer» $Find the value of 23^{2} by using identities.$

Discussion

Explore topic-wise InterviewSolutions in .

What is the condition for the quotient of two perfect squares to be also a perfect square?

A function f : R+ → R+ defined as(f(xy))^2 = x(f(y))^2 : f(2) = 6Then f(100) is equal to

The value of (908)2 by visualizing the identity (a+b)2=a2+2ab+b2 is .

In a parallelogram , one angle is 45th of its adjacent angle. Then the angles of the parallelogram are

State the condition for congruency of two line segments.

THE VALUE OF 5^6BY 2^8MULTIPLY 2BY5 WHOLE CUBE MULTIPLY 16 BY 25

Question 68Mukesh walks around a circular track of radius 14 m with a speed of 4 km/h. If he takes 20 rounds of the track, for how long does he walk?

Find the median of the data: 22, 28, 34, 49, 44, 57, 18, 10, 33, 41, 66, 59.

Find the common factors of the terms(i) 12x,36(ii) 2y,22xy(iii) 14pq,28p2q2(iv) 2x,3x2,4(v) 6abc,24ab2,12a2b(vi) 16x3,−4x2,32x(vii) 10pq,20qr,30rp(viii) 3x2y3,10x3y2,6x2y2z

Find SP if MP of a fridge is 12000 and continued discount of 10% and 20% .

If the square of a number ends with 10 zeroes, how many zeroes will the number have ?

sheela is now 15 years older than her yonger brother Sanjay ten years from now sheela will be twice as old as sanjay find the present age of each

How many digits will be there before the decimal in the square root of 759589598?

which thermodynamic parameter does not depend only on initial and final state 1.q at cons†an t pressure 2.q at cons†an t volume 3.w at adiabatic 4, w at isother

A man sold his bicycle for 405 losing one-tenth of its cost price. Find : (i) its cost price; (ii) the loss percent.

Question 37If x varies inversely as y and x=4 when y =6, when x =3, then value of y is___

In the given figure, OA=OB then which of the following is correct ?

90 men can complete a work in 24 days working 8 hours a day. How many men are required to complete the same work in 18 days working 712 hours a day?

Daljit received a sum of Rs. 40000 as a loan from a finance company. If the rate of interest is 7% per annum compounded annually, calculate the compound interest that Daljit pays after 2 years.

Evaluate the product (5a−3b)(4a+7b) using distributive property.

A cube of lead which adges measuring 6 cm is melted and formed into 27 equal cubes what will be the length of the edges of the new cubes?

Rationalize the denominator of the expression 4√8−√2.

X^2 -2(k+1)x+k^2= 0

Find the mean age in years from the frequency distribution given below:Class interval of age in yearsFrequency(fi)25−29430−341435−392240−441645−49650−54555−593Total70

Water in a river 6m wide and 1.5m deep flows with a speed of 10km/hr. How much area will it irrigate in half an hour if 8cm of standing water is needed?

If the edge of a cube is doubled, the surface area will increase

Find the value of expression 36x2+64y2+96xy, When x=23 and y=34.

Question 87(iii)Classify the following statements under appropriate headings.Sun setting in the evening?Certain to happenImpossible to happenMay or may not happen

When two fluids of different densities having volume of 4 L and 5 L, respectively are mixed, it results in a mass of 53 pounds. When the same two liquids are mixed in the reversed proportion, the resulting mass is increased by 2 pounds. Find the ratio of densities of the two liquids.

Complete the series1,0,3,2,5,6,?

Question 23 In the given question, fill in the blanks to make the statement true. The difference of a three-digit number and the number obtained by putting the digits in reverse order is always divisible by 9 and ___.

Solve for y if :(19)2y−1(.0081)13√243=(13)2y−53√27y−110000

x2 + (a + b)x + ab can be factorised as ______ .

For rational numbers ab,cd and ef, what is ab×(cd+ef)?

The number of students whose height is more than 150 cm is

Find the area of a trapezium whose parallel sides are 25 cm,13 cm and other sides are 15 cm each.

X and Y vary in inverse proportion. When X is 12, Y is 3. Which of the following is not a possible pair of corresponding values of X and Y? (A) 4,9 (B) 10,3.6 (C) 72,0.5 (D) 5,6

A bank offers 5% compound interest calculated on a half-yearly basis. A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:

The area of a rhombus is 240 cm2 and one of the diagonal is 16 cm.Find another diagonal.

The arithmetic mean of 1, 2, 3, 4, 5, ……., n is ____.

A manufacturer reckons that the value of a machine, which cost him Rs. 15625 will depreciate each year by 20%. Find the estimated value at the end of 5 years.

Given a cylindricaltank, in which situation will you find surface area and in whichsituation volume.(a) To find how much itcan hold(b) Number of cementbags required to plaster it(c) Tofind the number of smaller tanks that can be filled with water fromit.

Question 88 (xi) Factorise the following expression. a3+a2+a+1

Prime factorization of 1400:

Consider the given figure. P is the centre of the circle.The radius of the circle is units

(i) How are prisms and cylinders alike? (ii) How are pyramids and cones alike?

Question 91Following are the numbers of members in 25 families of a village :6, 8, 7, 7, 6, 5, 3, 2, 5, 6, 8, 7, 7, 4, 3, 6, 6, 6, 7, 5, 4, 3, 3, 2, 5 Prepare a frequency distribution table for the data using class intervals 0-2, 2-4 etc.

Find the value of 232by using identities.