25365 + Interview Questions in Mathematics Page 18 InterviewSolution

851.	In ∆ABC and ∆DEF, it is given that AB = DE and BC = EF. In order that ∆ABC ≅ ∆DEF, we must have(a) ∠A = ∠D(b) ∠B = ∠E(c) ∠C = ∠F(d) none of these
Answer» In ∆ABC and ∆DEF, it is given that AB = DE and BC = EF. In order that ∆ABC ≅ ∆DEF, we must have (a) ∠A = ∠D (b) ∠B = ∠E (c) ∠C = ∠F (d) none of these

Discussion

852.	Question 63 (i) How many faces does the following solid have? Tetrahedron
Answer» Question 63 (i) How many faces does the following solid have? Tetrahedron

Discussion

853.	A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.
Answer» A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.

Discussion

854.	The number of terms which contains variables in the expansion of (x+1/4+1)2 is __________ ?
Answer» The number of terms which contains variables in the expansion of (x+1/4+1)² is __________ ?

Discussion

855.	A bag contains 1 red ball, 1 green ball, 2 blue balls and 1 black ball. What is the probability of getting a white ball?
Answer» A bag contains 1 red ball, 1 green ball, 2 blue balls and 1 black ball. What is the probability of getting a white ball?

Discussion

856.	Sheela has 28 apples. She jdecides to distrubute 25% to her friends. Each friend gets one apple. So the number of her friends is __________
Answer» Sheela has 28 apples. She jdecides to distrubute 25% to her friends. Each friend gets one apple. So the number of her friends is __________

Discussion

857.	The prime factors of 48 is written as 48=2×2×2× ___ ×3. Find the missing number.
Answer» The prime factors of 48 is written as $48 = 2 \times 2 \times 2 \times$ ___ $\times 3$ . Find the missing number.

Discussion

858.	In the given figure, OB and OC are the bisectors of ∠AOD and ∠BOD respectively and ∠BOA = 30°. The measure of ∠DOC is equal to
Answer» In the given figure, OB and OC are the bisectors of ∠AOD and ∠BOD respectively and ∠BOA = 30°. The measure of ∠DOC is equal to

Discussion

859.	Question 56Find the value of the letters in the following question: A B×A B________6 A B
Answer» Question 56 Find the value of the letters in the following question: $A B \times A B________6 A B$

859.

Question 56Find the value of the letters in the following question: A B×A B________6 A B

Answer»

Question 56

Find the value of the letters in the following question:

$A B \times A B________6 A B$

Discussion

860.	By-using Euclid's algorithm , find the HCF of 65 and 117 and findthe pair of integral values of m and n such thatHCF 65 m + 117 n
Answer» By-using Euclid's algorithm , find the HCF of 65 and 117 and findthe pair of integral values of m and n such thatHCF 65 m + 117 n

Discussion

861.	In Figure, AD = BC and BD = CA.Prove that ∠ADB=∠BCA and ∠DAB=∠CBA.
Answer» In Figure, AD = BC and BD = CA. Prove that $∠ A D B = ∠ B C A a n d ∠ D A B = ∠ C B A .$

Discussion

862.	Let ABCD be a parallelogram and suppose the bisectors of ∠A and ∠B meet at P. Prove that ∠APB = 90°.
Answer» Let ABCD be a parallelogram and suppose the bisectors of ∠A and ∠B meet at P. Prove that ∠APB = 90°.

862.

Let ABCD be a parallelogram and suppose the bisectors of ∠A and ∠B meet at P. Prove that ∠APB = 90°.

Answer»

Let ABCD be a parallelogram and suppose the bisectors of ∠A and ∠B meet at P. Prove that ∠APB = 90°.

Discussion

863.

Find xin the following figures. (a) (b)

Answer»

Find x
in the following figures.


(a)	(b)

Discussion

864.	Question 2 (iii)Consider the following parallelograms. Find the values of the unknowns x,y,z(iii)
Answer» Question 2 (iii) Consider the following parallelograms. Find the values of the unknowns x,y,z (iii)

Discussion

865.	Can apolyhedron have for its faces(i) 3triangles? (ii) 4 triangles?(iii) asquare and four triangles?
Answer» Can a polyhedron have for its faces (i) 3 triangles? (ii) 4 triangles? (iii) a square and four triangles?

865.

Can apolyhedron have for its faces(i) 3triangles? (ii) 4 triangles?(iii) asquare and four triangles?

Answer»

Can a
polyhedron have for its faces

(i) 3
triangles? (ii) 4 triangles?

(iii) a
square and four triangles?

Discussion

866.	Evaluate x and y for the given cyclic quadrilateral.
Answer» Evaluate $x$ and $y$ for the given cyclic quadrilateral.

Discussion

867.	The difference between the compound interest and the simple interest accrued on an amount of Rs. 18,000 in 2 years was Rs.405. What was the rate of interest?
Answer» The difference between the compound interest and the simple interest accrued on an amount of Rs. 18,000 in 2 years was Rs.405. What was the rate of interest?

Discussion

868.	On what is Goods and Service Tax (GST) levied?
Answer» On what is Goods and Service Tax (GST) levied?

Discussion

869.	Express the following statement as a mathematical expression:x square less than 2 times 4
Answer» Express the following statement as a mathematical expression: x square less than 2 times 4

Discussion

870.	FInd the area of figure ABCDE.
Answer» FInd the area of figure ABCDE.

Discussion

871.	If P is involutory matrix and Q is idempotent matrix and PQ=P, then PQ100+P100Q=
Answer» If $P$ is involutory matrix and $Q$ is idempotent matrix and $P Q = P,$ then $P Q^{100} + P^{100} Q =$

Discussion

872.	Complétez avec:(loin de, côté de, au-dessus de, au-dessous de, au milieu de, en face de, au lieu de,au bord de, autour de, au bout de, au coin de, avant de, près de, au fond de)
Answer» Complétez avec: (loin de, côté de, au-dessus de, au-dessous de, au milieu de, en face de, au lieu de, au bord de, autour de, au bout de, au coin de, avant de, près de, au fond de)

Discussion

873.	Question 7 Find the values of the letters in the following and give reasons for the steps involved. A B × 6–––––––– B B B––––––––
Answer» Question 7 Find the values of the letters in the following and give reasons for the steps involved. $A B$ $\times 6 - ------ -$ $B B B - ------ -$

Discussion

874.	A person bought an ice cream cone shown in the above figure. His son looks at the top view of the ice cream cone. Which 2-D figure will his son see?
Answer» A person bought an ice cream cone shown in the above figure. His son looks at the top view of the ice cream cone. Which 2-D figure will his son see?

874.

A person bought an ice cream cone shown in the above figure. His son looks at the top view of the ice cream cone. Which 2-D figure will his son see?

Answer»

A person bought an ice cream cone shown in the above figure. His son looks at the top view of the ice cream cone. Which 2-D figure will his son see?

Discussion

875.	Find the difference between the simple interest and the compound interest on Rs. 5000 for 2 years at 9% per annum.
Answer» Find the difference between the simple interest and the compound interest on $R s . 5000$ for $2$ years at $9 %$ per annum.

Discussion

876.	A customer orders 2 pizzas with toppings on <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->64 of the pizzas. Choose the correct pizzas he has ordered.
Answer» A customer orders 2 pizzas with toppings on <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{6}{4}$ of the pizzas. Choose the correct pizzas he has ordered.

Discussion

877.	Obtain sum of three consecutive integers, each having a square factor.
Answer» Obtain sum of three consecutive integers, each having a square factor.

Discussion

878.	Which of the following is a rational number?
Answer» Which of the following is a rational number?

Discussion

879.	Question 6In the figure, BA \|\| ED and BC \|\| EF. Show that ∠ABC+∠DEF=180∘.
Answer» Question 6 In the figure, BA \|\| ED and BC \|\| EF. Show that $∠ A B C + ∠ D E F = 180^{\circ}$ .

Discussion

880.	A real value of x satisfies the equation 3-4ix3+4ix=a-ib (a, b ∈ℝ), if a2+b2=(a) 1(b) −1(c) 2(d) −2
Answer» A real value of x satisfies the equation $\frac{3 - 4 i x}{3 + 4 i x} = a - i b (a, b \in ℝ), if a^{2} + b^{2} =$ (a) 1 (b) −1 (c) 2 (d) −2

Discussion

881.	Question 2(ii) When a die is thrown, list the outcomes of an event of getting: (a) a number greater than 5 (b) a number not greater than 5
Answer» Question 2(ii) When a die is thrown, list the outcomes of an event of getting: (a) a number greater than 5 (b) a number not greater than 5

Discussion

882.	If the area of above rectangle is 7y3+4y, then the degree of length's expression is. (Given, 3y is Breadth)
Answer» If the area of above rectangle is $7 y^{3} + 4 y,$ then the degree of length's expression is. (Given, $3 y$ is Breadth)

Discussion

883.	Question 5Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.
Answer» Question 5 Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.

Discussion

884.	Construct an angle of 90∘ at the initial point of the given ray. Write down the steps of construction.
Answer» Construct an angle of $90^{\circ}$ at the initial point of the given ray. Write down the steps of construction.

Discussion

885.	Two dice are thrown together. What is the probability of a combination in which the sum of the numbers on the two faces is divisible by 4 or 6?
Answer» Two dice are thrown together. What is the probability of a combination in which the sum of the numbers on the two faces is divisible by 4 or 6?

Discussion

886.	Question 2The shoppers who come to a departmental store are marked as: man (M) , woman (W) , boy (B) or girl (G). The following list gives the shoppers who came during the first hour in the morning.W WW G B W W M G G M M W WWW G B M W B G G M W W M M W WW MW B W G M W WWW G W WM M W M W G W M G W M M B G G W.Make a frequency distribution table using tally marks. Draw a bar graph to illustrate it.
Answer» Question 2 The shoppers who come to a departmental store are marked as: man (M) , woman (W) , boy (B) or girl (G). The following list gives the shoppers who came during the first hour in the morning. W WW G B W W M G G M M W WWW G B M W B G G M W W M M W WW MW B W G M W WWW G W WM M W M W G W M G W M M B G G W. Make a frequency distribution table using tally marks. Draw a bar graph to illustrate it.

Discussion

887.	Match the following expressions using suitable identities.
Answer» Match the following expressions using suitable identities.

Discussion

888.	find principal argument of {(1+ι\sqrt3)}^2
Answer» find principal argument of {(1+ι\sqrt3)}^2

Discussion

889.	Question 70 (ii)Using Euler's formula. Find the value of unknown. Faces yvertices 12Edges 18
Answer» Question 70 (ii) Using Euler's formula. Find the value of unknown. Faces y vertices 12 Edges 18

Discussion

890.	The relation between number of tires and their prices (in $) is given by the equation, y = 185x. Choose the equation that represents the price per tire greater than $185.
Answer» The relation between number of tires and their prices (in $$$ ) is given by the equation, y = 185x. Choose the equation that represents the price per tire greater than $$ 185$ .

Discussion

891.	The volume of a cube is 729 cm3. Find its total surface area.
Answer» The volume of a cube is 729 cm³. Find its total surface area.

Discussion

892.	Which is the number when 40 is subtracted gives one-third of the original number?
Answer» Which is the number when 40 is subtracted gives one-third of the original number?

Discussion

893.	Question 93 (v)Refer to the given map to answer the following question.How many parks have been represented in the map?
Answer» Question 93 (v) Refer to the given map to answer the following question. How many parks have been represented in the map?

Discussion

894.	If x=1/(√3-√2) , prove that x³+1/x³+2(x²+1/x²)-9(x+1/x)=20
Answer» If x=1/(√3-√2) , prove that x³+1/x³+2(x²+1/x²)-9(x+1/x)=20

Discussion

895.	In the given figure, arms BA and BC of ∠ABC are respectively parallel to arms ED and EF of ∠DEF. Prove that ∠ABC = ∠DEF.
Answer» In the given figure, arms BA and BC of ∠ABC are respectively parallel to arms ED and EF of ∠DEF. Prove that ∠ABC = ∠DEF.

Discussion

896.	What is the last digit of (2015)2+(2014)2+(2013)2+(2012)2+(2011)2
Answer» What is the last digit of $(2015)^{2} + (2014)^{2} + (2013)^{2} + (2012)^{2} + (2011)^{2}$

Discussion

897.	Factorize: 4z2−8x+3(a) (2z−1)(2z−3)(b) (2z+1)(3−2z)(c) (2z+3)(3z−1)(d) (z−1)(4z−3)
Answer» Factorize: $4 z^{2} - 8 x + 3$ $(a) (2 z - 1) (2 z - 3)$ $(b) (2 z + 1) (3 - 2 z)$ $(c) (2 z + 3) (3 z - 1)$ $(d) (z - 1) (4 z - 3)$

Discussion

898.	For what value of ′a′ is 6(2a−1)+8=14 true?
Answer» For what value of $^{'} a^{'}$ is $6 (2 a - 1) + 8 = 14$ true?

Discussion

899.	In what time will the interest on a certain sum of money at 6% be 58 of itself?
Answer» In what time will the interest on a certain sum of money at 6% be $\frac{5}{8}$ of itself?

Discussion

900.	The condition for a1x+b1y+c1=0 and a2x+b2y+c2=0 to be consistent and have a unique solution is
Answer» The condition for $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ to be consistent and have a unique solution is

Discussion

Explore topic-wise InterviewSolutions in .

In ∆ABC and ∆DEF, it is given that AB = DE and BC = EF. In order that ∆ABC ≅ ∆DEF, we must have(a) ∠A = ∠D(b) ∠B = ∠E(c) ∠C = ∠F(d) none of these

Question 63 (i) How many faces does the following solid have? Tetrahedron

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.

The number of terms which contains variables in the expansion of (x+1/4+1)2 is __________ ?

A bag contains 1 red ball, 1 green ball, 2 blue balls and 1 black ball. What is the probability of getting a white ball?

Sheela has 28 apples. She jdecides to distrubute 25% to her friends. Each friend gets one apple. So the number of her friends is __________

The prime factors of 48 is written as 48=2×2×2× ___ ×3. Find the missing number.

In the given figure, OB and OC are the bisectors of ∠AOD and ∠BOD respectively and ∠BOA = 30°. The measure of ∠DOC is equal to

Question 56Find the value of the letters in the following question: A B×A B________6 A B

By-using Euclid's algorithm , find the HCF of 65 and 117 and findthe pair of integral values of m and n such thatHCF 65 m + 117 n

In Figure, AD = BC and BD = CA.Prove that ∠ADB=∠BCA and ∠DAB=∠CBA.

Let ABCD be a parallelogram and suppose the bisectors of ∠A and ∠B meet at P. Prove that ∠APB = 90°.

Find xin the following figures. (a) (b)

Question 2 (iii)Consider the following parallelograms. Find the values of the unknowns x,y,z(iii)

Can apolyhedron have for its faces(i) 3triangles? (ii) 4 triangles?(iii) asquare and four triangles?

Evaluate x and y for the given cyclic quadrilateral.

The difference between the compound interest and the simple interest accrued on an amount of Rs. 18,000 in 2 years was Rs.405. What was the rate of interest?

On what is Goods and Service Tax (GST) levied?

Express the following statement as a mathematical expression:x square less than 2 times 4

FInd the area of figure ABCDE.

If P is involutory matrix and Q is idempotent matrix and PQ=P, then PQ100+P100Q=

Complétez avec:(loin de, côté de, au-dessus de, au-dessous de, au milieu de, en face de, au lieu de,au bord de, autour de, au bout de, au coin de, avant de, près de, au fond de)

Question 7 Find the values of the letters in the following and give reasons for the steps involved. A B × 6–––––––– B B B––––––––

A person bought an ice cream cone shown in the above figure. His son looks at the top view of the ice cream cone. Which 2-D figure will his son see?

Find the difference between the simple interest and the compound interest on Rs. 5000 for 2 years at 9% per annum.

A customer orders 2 pizzas with toppings on &lt;!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--&gt;64 of the pizzas. Choose the correct pizzas he has ordered.

Obtain sum of three consecutive integers, each having a square factor.

Which of the following is a rational number?

Question 6In the figure, BA || ED and BC || EF. Show that ∠ABC+∠DEF=180∘.

A real value of x satisfies the equation 3-4ix3+4ix=a-ib (a, b ∈ℝ), if a2+b2=(a) 1(b) −1(c) 2(d) −2

Question 2(ii) When a die is thrown, list the outcomes of an event of getting: (a) a number greater than 5 (b) a number not greater than 5

If the area of above rectangle is 7y3+4y, then the degree of length's expression is. (Given, 3y is Breadth)

Question 5Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.

Construct an angle of 90∘ at the initial point of the given ray. Write down the steps of construction.

Two dice are thrown together. What is the probability of a combination in which the sum of the numbers on the two faces is divisible by 4 or 6?

Match the following expressions using suitable identities.

find principal argument of {(1+ι\sqrt3)}^2

Question 70 (ii)Using Euler's formula. Find the value of unknown. Faces yvertices 12Edges 18

The relation between number of tires and their prices (in $) is given by the equation, y = 185x. Choose the equation that represents the price per tire greater than $185.

The volume of a cube is 729 cm3. Find its total surface area.

Which is the number when 40 is subtracted gives one-third of the original number?

Question 93 (v)Refer to the given map to answer the following question.How many parks have been represented in the map?

If x=1/(√3-√2) , prove that x³+1/x³+2(x²+1/x²)-9(x+1/x)=20

In the given figure, arms BA and BC of ∠ABC are respectively parallel to arms ED and EF of ∠DEF. Prove that ∠ABC = ∠DEF.

What is the last digit of (2015)2+(2014)2+(2013)2+(2012)2+(2011)2

Factorize: 4z2−8x+3(a) (2z−1)(2z−3)(b) (2z+1)(3−2z)(c) (2z+3)(3z−1)(d) (z−1)(4z−3)

For what value of ′a′ is 6(2a−1)+8=14 true?

In what time will the interest on a certain sum of money at 6% be 58 of itself?

The condition for a1x+b1y+c1=0 and a2x+b2y+c2=0 to be consistent and have a unique solution is

A customer orders 2 pizzas with toppings on 64 of the pizzas. Choose the correct pizzas he has ordered.