25365 + Interview Questions in Mathematics Page 113 InterviewSolution

5601.	Question 94Solve the following question:Can a right-angled triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.
Answer» Question 94 Solve the following question: Can a right-angled triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.

5601.

Question 94Solve the following question:Can a right-angled triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.

Answer»

Question 94

Solve the following question:

Can a right-angled triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.

5602.	If the side of a rhombus is 6 cm and its one diagonal is 8 cm. Find the area of the rhombus in cm2.
Answer» If the side of a rhombus is 6 cm and its one diagonal is 8 cm. Find the area of the rhombus in ${c m}^{2}$ .

Discussion

5603.	Question 104(i)The below histogram shows the number of literate females in the age group of 10 yr to 40 yr in a town.Write the classes assuming all the clases are of equal width.
Answer» Question 104(i) The below histogram shows the number of literate females in the age group of 10 yr to 40 yr in a town. Write the classes assuming all the clases are of equal width.

5603.

Question 104(i)The below histogram shows the number of literate females in the age group of 10 yr to 40 yr in a town.Write the classes assuming all the clases are of equal width.

Answer»

Question 104(i)

The below histogram shows the number of literate females in the age group of 10 yr to 40 yr in a town.

Write the classes assuming all the clases are of equal width.

Discussion

5604.	Identify the place common in these pictures.
Answer» Identify the place common in these pictures.

Discussion

5605.	Which of the following is not a factor of 9042?
Answer» Which of the following is not a factor of 9042?

Discussion

5606.	Choose the option that represents more than a whole fraction.
Answer» Choose the option that represents more than a whole fraction.

Discussion

5607.	Determine the range for -68, 85, 55, 148 and 117?
Answer» Determine the range for -68, 85, 55, 148 and 117?

Discussion

5608.	The weekly wages (in ₹) of 30 workers in a factory are:830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840.Using tally marks, make a frequency table with intervals as 800 – 810, 810 – 820 and so on.
Answer» The weekly wages (in ₹) of 30 workers in a factory are: 830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840. Using tally marks, make a frequency table with intervals as 800 – 810, 810 – 820 and so on.

Discussion

5609.	Find the square root of:(i) 0.0169(ii) 96125
Answer» Find the square root of: (i) 0.0169 (ii) $96 \frac{1}{25}$

Discussion

5610.	A triangle has 2 sides, 5 cm and 6 cm respectively. What value must the 3rd side be greater than (in cm)? ___
Answer» A triangle has 2 sides, 5 cm and 6 cm respectively. What value must the 3rd side be greater than (in cm)? ___

Discussion

5611.	A random survey of the number of children of various age groups playing in park was found as follows: Age (in years)Number of children1−252−333−565−7127−10910−151015−174 Draw a histogram to represent the data above. [4 MARKS]
Answer» A random survey of the number of children of various age groups playing in park was found as follows: $\begin{matrix} Age (in years) & Number of children 1 - 2 & 5 2 - 3 & 3 3 - 5 & 6 5 - 7 & 12 7 - 10 & 9 10 - 15 & 10 15 - 17 & 4 \end{matrix}$ Draw a histogram to represent the data above. [4 MARKS]

Discussion

5612.	Question 4(iii)Find the multiplicative inverse of the following:15
Answer» Question 4(iii) Find the multiplicative inverse of the following: $\frac{1}{5}$

Discussion

5613.	Find the smallest number by which 9408 must be divided so that the quotient is a perfect square. Find the square root of the quotient.
Answer» Find the smallest number by which 9408 must be divided so that the quotient is a perfect square. Find the square root of the quotient.

Discussion

5614.	The marks obtained (out of 20) by 30 students of a class in a test are given below:7, 10, 8, 16, 13, 14, 15, 11, 18, 11, 15, 10, 7, 14, 20, 19, 15, 16, 14, 20, 10, 11, 14, 17, 13, 12, 15, 14, 16, 17.Prepare a frequency distribution table for the above data using class intervals of equal width in which one class interval in 3–8 (including 2 and excluding 8). From the frequency distribution table so obtained, draw a histogram.
Answer» The marks obtained (out of 20) by 30 students of a class in a test are given below: 7, 10, 8, 16, 13, 14, 15, 11, 18, 11, 15, 10, 7, 14, 20, 19, 15, 16, 14, 20, 10, 11, 14, 17, 13, 12, 15, 14, 16, 17. Prepare a frequency distribution table for the above data using class intervals of equal width in which one class interval in 3–8 (including 2 and excluding 8). From the frequency distribution table so obtained, draw a histogram.

Discussion

5615.	Ballast tanks are used to store seawater for the functioning of a submarine. The volume of the main ballast tank of a submarine is 49 m3. A scale model is adopted for the submarine's design with a scale factor of 1:7. Find the volume of model of the main ballast tank.
Answer» Ballast tanks are used to store seawater for the functioning of a submarine. The volume of the main ballast tank of a submarine is $49 m^{3} .$ A scale model is adopted for the submarine's design with a scale factor of $1 : 7.$ Find the volume of model of the main ballast tank.

Discussion

5616.	Which of the following is a linear equation in one variable?
Answer» Which of the following is a linear equation in one variable?

Discussion

5617.	Question 95(ii)The weights (in kg) of 30 students of a class are as follows :39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37,31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26Prepare a frequency distribution table using one class interval as (30-35), 35 not included.Which class has the maximum frequency ?
Answer» Question 95(ii) The weights (in kg) of 30 students of a class are as follows : 39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37, 31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26 Prepare a frequency distribution table using one class interval as (30-35), 35 not included. Which class has the maximum frequency ?

5617.

Question 95(ii)The weights (in kg) of 30 students of a class are as follows :39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37,31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26Prepare a frequency distribution table using one class interval as (30-35), 35 not included.Which class has the maximum frequency ?

Answer»

Question 95(ii)

The weights (in kg) of 30 students of a class are as follows :

39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37,

31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26

Prepare a frequency distribution table using one class interval as (30-35), 35 not included.

Which class has the maximum frequency ?

Discussion

5618.	Name the property indicated in the following;
Answer» Name the property indicated in the following;

5618.

Name the property indicated in the following;

Answer»

Name the property indicated in the following;

Discussion

5619.	Construct an isosceles triangle whose altitude is 5 cm and whose vertex angle is 80°.
Answer» Construct an isosceles triangle whose altitude is 5 cm and whose vertex angle is 80°.

Discussion

5620.	Express the following statements mathematically: (i) square of 4 is 6; (ii) square of 8 is 64; (iii) square of 15 is 225.
Answer» Express the following statements mathematically: (i) square of 4 is 6; (ii) square of 8 is 64; (iii) square of 15 is 225.

5620.

Express the following statements mathematically: (i) square of 4 is 6; (ii) square of 8 is 64; (iii) square of 15 is 225.

Answer»

Express the following statements mathematically:

(i) square of 4 is 6; (ii) square of 8 is 64; (iii) square of 15 is 225.

Discussion

5621.	One side of a parallelogram is of length 24 centimetres and the height from this side is 18 centimetres. What is its area?
Answer» One side of a parallelogram is of length 24 centimetres and the height from this side is 18 centimetres. What is its area?

5621.

One side of a parallelogram is of length 24 centimetres and the height from this side is 18 centimetres. What is its area?

Answer»

One side of a parallelogram is of length 24 centimetres and the height from this side is 18 centimetres. What is its area?

Discussion

5622.	Question 26The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle isa) 72∘b) 144∘c) 36∘d) 18∘
Answer» Question 26 The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is a) $72^{\circ}$ b) $144^{\circ}$ c) $36^{\circ}$ d) $18^{\circ}$

Discussion

5623.	32.Draw a quadrilateral whose sides are represented by graphs of the equation x=0,y=0,2y-3x-1=0 and 5x-y-10=0. Determine the coordinates of the vertices of the quadrilateral
Answer» 32.Draw a quadrilateral whose sides are represented by graphs of the equation x=0,y=0,2y-3x-1=0 and 5x-y-10=0. Determine the coordinates of the vertices of the quadrilateral

Discussion

5624.	By rationalizing the denominator of 11√7,we get
Answer» $By rationalizing the denominator of \frac{11}{\sqrt{7}},$ $we get$

Discussion

5625.	Express 5000 in exponential form.
Answer» Express 5000 in exponential form.

Discussion

5626.	f(x)=11+1x;gx=11+1f(x)⇒g′(2)=
Answer» $f (x) = \frac{1}{1 + \frac{1}{x}}; g x = \frac{1}{1 + \frac{1}{f (x)}} \Rightarrow g^{'} (2) =$

Discussion

5627.	Total number of factors when 15x2 is completely factored is .
Answer» Total number of factors when $15 x^{2}$ is completely factored is .

Discussion

5628.	Out of the given values of temperature which one is higest 1)420K 2)130^° C 3)310^° F 4)310
Answer» Out of the given values of temperature which one is higest 1)420K 2)130^° C 3)310^° F 4)310

Discussion

5629.	The base diameter of a metallic cylinder is 18cm and its height is 24 cm. It is melted into cylinders of base diameter 12 cm and height 6 cm. How many such small cylinders are formed?
Answer» The base diameter of a metallic cylinder is 18cm and its height is 24 cm. It is melted into cylinders of base diameter 12 cm and height 6 cm. How many such small cylinders are formed?

Discussion

5630.	If −43y=−34, then y is equal to _____.
Answer» If $\frac{- 4}{3} y = - \frac{3}{4},$ then y is equal to _____.

Discussion

5631.	Construct a quadrilateral ABCD in which AB = 3.6 cm, BC = 3.3 cm, AD = 2.7 cm, diagonal AC = 4.6 cm and diagonal BD = 4 cm.
Answer» Construct a quadrilateral ABCD in which AB = 3.6 cm, BC = 3.3 cm, AD = 2.7 cm, diagonal AC = 4.6 cm and diagonal BD = 4 cm.

Discussion

5632.	If f(x)=e^{2x} and g(x)=\log\sqrt x(x>0), then fog(x) is equal to (1) e^{2x} (2) \log\sqrt x (3) e^{2x}(\log\sqrt x) (4) x
Answer» If f(x)=e^{2x} and g(x)=\log\sqrt x(x>0), then fog(x) is equal to (1) e^{2x} (2) \log\sqrt x (3) e^{2x}(\log\sqrt x) (4) x

Discussion

5633.	One of the angles of a triangle is equal to the sum of the other two angles. If the ratio of the other two angles of the triangle is 4:5, find the angels of the triangle.
Answer» One of the angles of a triangle is equal to the sum of the other two angles. If the ratio of the other two angles of the triangle is 4:5, find the angels of the triangle.

Discussion

5634.	How many 2 digit even numbers can be formed from the digits 1,4,5,6,9 if the digits can be repeated?
Answer» How many $2$ digit even numbers can be formed from the digits $1, 4, 5, 6, 9$ if the digits can be repeated?

Discussion

5635.	Question 64Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:Multiple of 5.
Answer» Question 64 Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement: Multiple of 5.

5635.

Question 64Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:Multiple of 5.

Answer»

Question 64

Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:

Multiple of 5.

Discussion

5636.	Which of the following is not true?
Answer» Which of the following is not true?

Discussion

5637.	If am × an = ax (where m and n are natural numbers), then the value of x is _____.
Answer» If $a^{m}$ × $a^{n}$ = $a^{x}$ (where m and n are natural numbers), then the value of $x$ is _____.

Discussion

5638.	Question 111(i)At a birthday party, the children spin a wheel to get a gift.Find the probability of getting a ball ?
Answer» Question 111(i) At a birthday party, the children spin a wheel to get a gift. Find the probability of getting a ball ?

5638.

Question 111(i)At a birthday party, the children spin a wheel to get a gift.Find the probability of getting a ball ?

Answer»

Question 111(i)

At a birthday party, the children spin a wheel to get a gift.

Find the probability of getting a ball ?

Discussion

5639.	Determine the ratio in which the line 2x+y-4=0 divides the line segment joining the points A(2,-2) and B(3,7).
Answer» Determine the ratio in which the line 2x+y-4=0 divides the line segment joining the points A(2,-2) and B(3,7).

Discussion

5640.	Construct an isosceles triangle ABC in which base BC = 6.5 cm and altitude from A on BC is 4 cm.
Answer» Construct an isosceles triangle ABC in which base BC = 6.5 cm and altitude from A on BC is 4 cm.

Discussion

5641.	Question 2 (vi) The following number is obviously not a perfect square. Give reasons. 89722
Answer» Question 2 (vi) The following number is obviously not a perfect square. Give reasons. 89722

5641.

Question 2 (vi) The following number is obviously not a perfect square. Give reasons. 89722

Answer»

Question 2 (vi)
The following number is obviously not a perfect square. Give reasons.

89722

Discussion

5642.	how many bricks of dimension 22.5cm×10cm×7.5cm can be painted if the paint is sufficient for the area 2812.5 cm^2
Answer» how many bricks of dimension 22.5cm×10cm×7.5cm can be painted if the paint is sufficient for the area 2812.5 cm^2

Discussion

5643.	construct a triangle ABC in which BC = 6.5 cm, angle B =60* and angle c = 70*.
Answer» construct a triangle ABC in which BC = 6.5 cm, angle B =60* and angle c = 70*.

Discussion

5644.	If A and B are two sets such that n (A) = 5 and n (B) =7, then the the total number of relations on A × B is ........ .
Answer» If A and B are two sets such that n (A) = 5 and n (B) =7, then the the total number of relations on A × B is ........ .

Discussion

5645.	Three Angeles of quadrilateral is are in ratio 3:5:8. The mean of these three angles is 80°. Find all the angles
Answer» Three Angeles of quadrilateral is are in ratio 3:5:8. The mean of these three angles is 80°. Find all the angles

Discussion

5646.	If A =squre matrix that A2=I, then (A−I)3+(A+Z)3−7A =?
Answer» If A =squre matrix that $A^{2} = I$ , then $(A - I)^{3} + (A + Z)^{3} - 7 A$ =?

Discussion

5647.	(ii) If }^{n-4}C_4=15, find }n
Answer» (ii) If }^{n-4}C_4=15, find }n

Discussion

5648.	what do you mean by standard form?
Answer» what do you mean by standard form?

Discussion

5649.	Construct a quadrilateral ABCD such that triangle ABC is equilateral with side 6 cm and sum of any two consecutive angles of this quadrilateral is 180
Answer» Construct a quadrilateral ABCD such that triangle ABC is equilateral with side 6 cm and sum of any two consecutive angles of this quadrilateral is 180

Discussion

5650.	Number of persons in various age groups in a town is given in the following table.Age1−1415−2930−4445−5960−7475andgroupabove(in years)Number2 lakhs1 lakh 60 1 lakh 201 lakh 208040of personsthousandsthousandsthousandsthousandsthousandsthousandsDraw a bar graph to represent the above information and answer the following questions :a) Which two age groups have the same population?b) All persons in the age group of 60 and above are called senior citizens. How many senior citizens are there in the town?
Answer» Number of persons in various age groups in a town is given in the following table. $\begin{matrix} Age & 1 - 14 & 15 - 29 & 30 - 44 & 45 - 59 & 60 - 74 & 75 and group & above (in years) Number & 2 lakhs & 1 lakh 60 & 1 lakh 20 & 1 lakh 20 & 80 & 40 of persons & thousands & thousands & thousands & thousands & thousands & thousands \end{matrix}$ Draw a bar graph to represent the above information and answer the following questions : a) Which two age groups have the same population? b) All persons in the age group of 60 and above are called senior citizens. How many senior citizens are there in the town?

Discussion

Explore topic-wise InterviewSolutions in .

Question 94Solve the following question:Can a right-angled triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.

If the side of a rhombus is 6 cm and its one diagonal is 8 cm. Find the area of the rhombus in cm2.

Question 104(i)The below histogram shows the number of literate females in the age group of 10 yr to 40 yr in a town.Write the classes assuming all the clases are of equal width.

Identify the place common in these pictures.

Which of the following is not a factor of 9042?

Choose the option that represents more than a whole fraction.

Determine the range for -68, 85, 55, 148 and 117?

Find the square root of:(i) 0.0169(ii) 96125

A triangle has 2 sides, 5 cm and 6 cm respectively. What value must the 3rd side be greater than (in cm)? ___

A random survey of the number of children of various age groups playing in park was found as follows: Age (in years)Number of children1−252−333−565−7127−10910−151015−174 Draw a histogram to represent the data above. [4 MARKS]

Question 4(iii)Find the multiplicative inverse of the following:15

Find the smallest number by which 9408 must be divided so that the quotient is a perfect square. Find the square root of the quotient.

Ballast tanks are used to store seawater for the functioning of a submarine. The volume of the main ballast tank of a submarine is 49 m3. A scale model is adopted for the submarine's design with a scale factor of 1:7. Find the volume of model of the main ballast tank.

Which of the following is a linear equation in one variable?

Name the property indicated in the following;

Construct an isosceles triangle whose altitude is 5 cm and whose vertex angle is 80°.

Express the following statements mathematically: (i) square of 4 is 6; (ii) square of 8 is 64; (iii) square of 15 is 225.

One side of a parallelogram is of length 24 centimetres and the height from this side is 18 centimetres. What is its area?

Question 26The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle isa) 72∘b) 144∘c) 36∘d) 18∘

32.Draw a quadrilateral whose sides are represented by graphs of the equation x=0,y=0,2y-3x-1=0 and 5x-y-10=0. Determine the coordinates of the vertices of the quadrilateral

By rationalizing the denominator of 11√7,we get

Express 5000 in exponential form.

f(x)=11+1x;gx=11+1f(x)⇒g′(2)=

Total number of factors when 15x2 is completely factored is .

Out of the given values of temperature which one is higest 1)420K 2)130^° C 3)310^° F 4)310

The base diameter of a metallic cylinder is 18cm and its height is 24 cm. It is melted into cylinders of base diameter 12 cm and height 6 cm. How many such small cylinders are formed?

If −43y=−34, then y is equal to _____.

Construct a quadrilateral ABCD in which AB = 3.6 cm, BC = 3.3 cm, AD = 2.7 cm, diagonal AC = 4.6 cm and diagonal BD = 4 cm.

If f(x)=e^{2x} and g(x)=\log\sqrt x(x>0), then fog(x) is equal to (1) e^{2x} (2) \log\sqrt x (3) e^{2x}(\log\sqrt x) (4) x

One of the angles of a triangle is equal to the sum of the other two angles. If the ratio of the other two angles of the triangle is 4:5, find the angels of the triangle.

How many 2 digit even numbers can be formed from the digits 1,4,5,6,9 if the digits can be repeated?

Question 64Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:Multiple of 5.

Which of the following is not true?

If am × an = ax (where m and n are natural numbers), then the value of x is _____.

Question 111(i)At a birthday party, the children spin a wheel to get a gift.Find the probability of getting a ball ?

Determine the ratio in which the line 2x+y-4=0 divides the line segment joining the points A(2,-2) and B(3,7).

Construct an isosceles triangle ABC in which base BC = 6.5 cm and altitude from A on BC is 4 cm.

Question 2 (vi) The following number is obviously not a perfect square. Give reasons. 89722

how many bricks of dimension 22.5cm×10cm×7.5cm can be painted if the paint is sufficient for the area 2812.5 cm^2

construct a triangle ABC in which BC = 6.5 cm, angle B =60* and angle c = 70*.

If A and B are two sets such that n (A) = 5 and n (B) =7, then the the total number of relations on A × B is ........ .

Three Angeles of quadrilateral is are in ratio 3:5:8. The mean of these three angles is 80°. Find all the angles

If A =squre matrix that A2=I, then (A−I)3+(A+Z)3−7A =?

(ii) If }^{n-4}C_4=15, find }n

what do you mean by standard form?

Construct a quadrilateral ABCD such that triangle ABC is equilateral with side 6 cm and sum of any two consecutive angles of this quadrilateral is 180