24740 + Interview Questions in Mathematics Page 198 InterviewSolution

9851.	If 3x-1 = 9 and 4y+2 = 64, what is the value of xy ?
Answer» If 3^x^-1 = 9 and 4^y⁺² = 64, what is the value of $\frac{x}{y}$ ?

Discussion

9852.	Find the remainder when p(x)=x4+4x3+7x2−4 is divided by x+1.[Hint: Use remainder theorem]0
Answer» Find the remainder when $p (x) = x^{4} + 4 x^{3} + 7 x^{2} - 4$ is divided by $x + 1$ . [Hint: Use remainder theorem] 0

Discussion

9853.	In the given figure, if ∠BAC = 60° and ∠BCA = 20°, find ∠ADC.
Answer» In the given figure, if ∠BAC = 60° and ∠BCA = 20°, find ∠ADC.

Discussion

9854.	In fig. TQ and TR are bisectors of ∠Q and ∠R respectively. If ∠QPR = 80∘ and ∠PRT = 30∘. Determine ∠TQR. [4 MARKS]
Answer» In fig. TQ and TR are bisectors of $∠$ Q and $∠$ R respectively. If $∠$ QPR = $80^{\circ}$ and $∠$ PRT = $30^{\circ}$ . Determine $∠$ TQR. [4 MARKS]

9854.

In fig. TQ and TR are bisectors of ∠Q and ∠R respectively. If ∠QPR = 80∘ and ∠PRT = 30∘. Determine ∠TQR. [4 MARKS]

Answer»

In fig. TQ and TR are bisectors of $∠$ Q and $∠$ R respectively. If $∠$ QPR = $80^{\circ}$ and $∠$ PRT = $30^{\circ}$ . Determine $∠$ TQR. [4 MARKS]

Discussion

9855.	x-2 is a factor of the polynomial P(x). Then, P(2) =
Answer» x-2 is a factor of the polynomial P(x). Then, P(2) =

Discussion

9856.	Can we represent -π through number line.If so how?
Answer» Can we represent -π through number line.If so how?

Discussion

9857.	In the figure, lines PQ and RS intersect each other at point O. If ∠POR:∠ROQ=5:7. Find all the angles.
Answer» In the figure, lines PQ and RS intersect each other at point O. If $∠ P O R : ∠ R O Q = 5 : 7$ . Find all the angles.

9857.

In the figure, lines PQ and RS intersect each other at point O. If ∠POR:∠ROQ=5:7. Find all the angles.

Answer»

In the figure, lines PQ and RS intersect each other at point O. If $∠ P O R : ∠ R O Q = 5 : 7$ . Find all the angles.

Discussion

9858.	Which of these is not a solution of 2x+ 3y = 18?
Answer» Which of these is not a solution of 2x+ 3y = 18?

Discussion

9859.	12. A sector of circle if radius 9 cm has central angle of 120 degree. It is rolled up so that the two bounding radii are joined together to form a cone. Find 1. The slant height and of the cone 2. The radius of the base of the cone 3. The volume of the cone 4. The total surface area of the cone
Answer» 12. A sector of circle if radius 9 cm has central angle of 120 degree. It is rolled up so that the two bounding radii are joined together to form a cone. Find 1. The slant height and of the cone 2. The radius of the base of the cone 3. The volume of the cone 4. The total surface area of the cone

Discussion

9860.	Is \|\|gm ABCD a square? I. Diagonals of \|\|gm ABCD are equal. II. Diagonals of \|\|gm ABCD intersect at right angles. The correct answer is: (a)/(b)/(c)/(d).
Answer» Is \|\|gm ABCD a square? I. Diagonals of \|\|gm ABCD are equal. II. Diagonals of \|\|gm ABCD intersect at right angles. The correct answer is: (a)/(b)/(c)/(d).

9860.

Is ||gm ABCD a square? I. Diagonals of ||gm ABCD are equal. II. Diagonals of ||gm ABCD intersect at right angles. The correct answer is: (a)/(b)/(c)/(d).

Answer»

Is ||gm ABCD a square?

I. Diagonals of ||gm ABCD are equal.

II. Diagonals of ||gm ABCD intersect at right angles.

The correct answer is: (a)/(b)/(c)/(d).

Discussion

9861.	Question 17What is the area of the rhombus ABCD below if AC = 6 cm and BE = 4 cm?(a) 36 cm2 (b) 16 cm2 (c) 24 cm2 (d) 13 cm2
Answer» Question 17 What is the area of the rhombus ABCD below if AC = 6 cm and BE = 4 cm? (a) $36 c m^{2}$ (b) $16 c m^{2}$ (c) $24 c m^{2}$ (d) $13 c m^{2}$

9861.

Question 17What is the area of the rhombus ABCD below if AC = 6 cm and BE = 4 cm?(a) 36 cm2 (b) 16 cm2 (c) 24 cm2 (d) 13 cm2

Answer»

Question 17

What is the area of the rhombus ABCD below if AC = 6 cm and BE = 4 cm?

(a) $36 c m^{2}$ (b) $16 c m^{2}$ (c) $24 c m^{2}$ (d) $13 c m^{2}$

Discussion

9862.	Calculate the length of tape required to encircle a circular ring of radius 10 cm.
Answer» Calculate the length of tape required to encircle a circular ring of radius 10 cm.

Discussion

9863.	Question 6In the figure, POQ is a line. The value of x is:A) 20∘B) 25∘C) 30∘D) 35∘
Answer» Question 6 In the figure, POQ is a line. The value of x is: A) $20^{\circ}$ B) $25^{\circ}$ C) $30^{\circ}$ D) $35^{\circ}$

Discussion

9864.	A road roller makes 200 rotations covering 2200 m. Find the radius of the roller.
Answer» A road roller makes 200 rotations covering 2200 m. Find the radius of the roller.

Discussion

9865.	Vihan spent Rs. 132 to buy movie tickets for 20 children and 4 adults. Each adult ticket costs Rs. 3 more than the child ticket. If A is the price of an adult ticket and S is the price of a child ticket, which system of equations could be used to find the price of each adult and child ticket?
Answer» Vihan spent Rs. 132 to buy movie tickets for 20 children and 4 adults. Each adult ticket costs Rs. 3 more than the child ticket. If A is the price of an adult ticket and S is the price of a child ticket, which system of equations could be used to find the price of each adult and child ticket?

Discussion

9866.	Nikhil spent 5% of his monthly income on his children's education, invested 14% in shares, deposited 3% in a bank, and used 40% for his daily expenses. He was left with a balance of ₹19,000. Calculate his income that month.
Answer» Nikhil spent 5% of his monthly income on his children's education, invested 14% in shares, deposited 3% in a bank, and used 40% for his daily expenses. He was left with a balance of ₹19,000. Calculate his income that month.

Discussion

9867.	Find the surface area of a sphere of diameter:(i) 14 cm (ii) 21 cm (iii) 3.5 m
Answer» Find the surface area of a sphere of diameter: (i) 14 cm (ii) 21 cm (iii) 3.5 m

9867.

Find the surface area of a sphere of diameter:(i) 14 cm (ii) 21 cm (iii) 3.5 m

Answer»

Find the surface area of a sphere of diameter:

(i) 14 cm (ii) 21 cm (iii) 3.5 m

Discussion

9868.	In the given figure, QA = AB = BC = CR. If ar(ΔPQR) = 24 cm2, then area(ΔPAR) is
Answer» In the given figure, QA = AB = BC = CR. If ar(ΔPQR) = 24 cm², then area(ΔPAR) is

9868.

In the given figure, QA = AB = BC = CR. If ar(ΔPQR) = 24 cm2, then area(ΔPAR) is

Answer»

In the given figure, QA = AB = BC = CR. If ar(ΔPQR) = 24 cm², then area(ΔPAR) is

Discussion

9869.	The number of 6-digit numbers of the form ababab (in base 10) each of which is a product of exactly 6 distinct primes is
Answer» The number of 6-digit numbers of the form ababab (in base 10) each of which is a product of exactly 6 distinct primes is

Discussion

9870.	According to the graph given below, find the value of y co-ordinate if x co-ordinate is 10.514.5
Answer» According to the graph given below, find the value of $y$ co-ordinate if $x$ co-ordinate is $10.5$ 14.5

Discussion

9871.	An irrational number between 5 and 6 is (a)12(5+6) (b)√5+6 (c)√5×6 (d) none of these
Answer» An irrational number between 5 and 6 is (a) $\frac{1}{2} (5 + 6)$ (b) $\sqrt{5 + 6}$ (c) $\sqrt{5 \times 6}$ (d) none of these

9871.

An irrational number between 5 and 6 is (a)12(5+6) (b)√5+6 (c)√5×6 (d) none of these

Answer»

An irrational number between 5 and 6 is

(a) $\frac{1}{2} (5 + 6)$ (b) $\sqrt{5 + 6}$ (c) $\sqrt{5 \times 6}$ (d) none of these

Discussion

9872.	Find the value of ∠ADC.
Answer» Find the value of $∠$ ADC.

9872.

Find the value of ∠ADC.

Answer»

Find the value of $∠$ ADC.

Discussion

9873.	Find the value of a such that (x − 4) is a factors of 5x3 − 7x2 − ax − 28.
Answer» Find the value of a such that (x − 4) is a factors of 5x³ − 7x² − ax − 28.

Discussion

9874.	Question 7 P and Q are the mid – points of the opposite sides AB and CD of a parallelogram ABCD. AQ intersects DP at S and BQ intersects CP at R. Show that PRQS is a parallelogram.
Answer» Question 7 P and Q are the mid – points of the opposite sides AB and CD of a parallelogram ABCD. AQ intersects DP at S and BQ intersects CP at R. Show that PRQS is a parallelogram.

Discussion

9875.	One of the solutions for the pair of equations ax−by=0 and ab2x+a2by=a2+b2 is:
Answer» One of the solutions for the pair of equations $\frac{a}{x} - \frac{b}{y} = 0$ and $\frac{a b^{2}}{x} + \frac{a^{2} b}{y} = a^{2} + b^{2}$ is:

Discussion

9876.	In the given circle, with AB as diameter, find the value of 'x'.
Answer» In the given circle, with AB as diameter, find the value of 'x'.

9876.

In the given circle, with AB as diameter, find the value of 'x'.

Answer»

In the given circle, with AB as diameter, find the value of 'x'.

Discussion

9877.	Simplify the following expressions:(i) 3+72(ii) 5-32(iii) 25+322
Answer» Simplify the following expressions: (i) ${(\sqrt{3} + \sqrt{7})}^{2}$ (ii) ${(\sqrt{5} - \sqrt{3})}^{2}$ (iii) ${(2 \sqrt{5} + 3 \sqrt{2})}^{2}$

Discussion

9878.	Question 3Give one example each of a binomial of degree 35, and of a monomial of degree 100.
Answer» Question 3 Give one example each of a binomial of degree 35, and of a monomial of degree 100.

Discussion

9879.	Sheela and Meena together have 30 coins. If Sheela gives 5 coins to Meena, Meena will have double the number of coins Sheela has. Plot the points on the graph. Also, find the solution of the equations.
Answer» Sheela and Meena together have 30 coins. If Sheela gives 5 coins to Meena, Meena will have double the number of coins Sheela has. Plot the points on the graph. Also, find the solution of the equations.

Discussion

9880.	If y & z are two complex numbers such that \|y\|=\|z\| and arg y=arg z then show that y & z are conjugate complex numbers. Also, if \|y\|=\|z\|=1 and arg y=arg z then show that y=1/z.
Answer» If y & z are two complex numbers such that \|y\|=\|z\| and arg y=arg z then show that y & z are conjugate complex numbers. Also, if \|y\|=\|z\|=1 and arg y=arg z then show that y=1/z.

Discussion

9881.	Question 93The marks obtained (out of 20) by 30 students of a class in a test are as follows :14, 16, 15, 11, 15, 14, 13, 16, 8, 10, 7, 11, 18, 15, 14,19, 20, 7, 10, 13, 12, 14, 15, 13, 16, 17, 14, 11, 10, 20.Preparing a frequency distribution table for the above data using class intervals of equal width in which one class interval is 4-8 (excluding 8 and including 4).
Answer» Question 93 The marks obtained (out of 20) by 30 students of a class in a test are as follows : 14, 16, 15, 11, 15, 14, 13, 16, 8, 10, 7, 11, 18, 15, 14, 19, 20, 7, 10, 13, 12, 14, 15, 13, 16, 17, 14, 11, 10, 20. Preparing a frequency distribution table for the above data using class intervals of equal width in which one class interval is 4-8 (excluding 8 and including 4).

9881.

Question 93The marks obtained (out of 20) by 30 students of a class in a test are as follows :14, 16, 15, 11, 15, 14, 13, 16, 8, 10, 7, 11, 18, 15, 14,19, 20, 7, 10, 13, 12, 14, 15, 13, 16, 17, 14, 11, 10, 20.Preparing a frequency distribution table for the above data using class intervals of equal width in which one class interval is 4-8 (excluding 8 and including 4).

Answer»

Question 93

The marks obtained (out of 20) by 30 students of a class in a test are as follows :

14, 16, 15, 11, 15, 14, 13, 16, 8, 10, 7, 11, 18, 15, 14,

19, 20, 7, 10, 13, 12, 14, 15, 13, 16, 17, 14, 11, 10, 20.

Preparing a frequency distribution table for the above data using class intervals of equal width in which one class interval is 4-8 (excluding 8 and including 4).

Discussion

9882.	The number of interwoven isosceles triangles in a Sriyantra is(a) five(b) seven(c) nine(d) eleven
Answer» The number of interwoven isosceles triangles in a Sriyantra is (a) five (b) seven (c) nine (d) eleven

Discussion

9883.	In the given figure, DE \|\| BC in ∆ABC such that BC = 8 cm, AB = 6 cm and DA = 1.5 cm. Find DE.
Answer» In the given figure, DE \|\| BC in ∆ABC such that BC = 8 cm, AB = 6 cm and DA = 1.5 cm. Find DE.

Discussion

9884.	A circus tent is in the shape of cylinder surmounted by a conical top of same diameter. If their common diameter is 56 m, the height of the cylindrical part is 6 m and the total height of the tent above the ground is 27 m, find the area of the canvas used in making the tent.
Answer» A circus tent is in the shape of cylinder surmounted by a conical top of same diameter. If their common diameter is 56 m, the height of the cylindrical part is 6 m and the total height of the tent above the ground is 27 m, find the area of the canvas used in making the tent.

Discussion

9885.	Describe mean, median and mode of an observation briefly.
Answer» Describe mean, median and mode of an observation briefly.

Discussion

9886.	In the given figure, ABP is a straight line and BD\|\|PC.Area ΔAPD=___
Answer» In the given figure, ABP is a straight line and BD\|\|PC.Area $Δ A P D =$ ___

9886.

In the given figure, ABP is a straight line and BD||PC.Area ΔAPD=___

Answer»

In the given figure, ABP is a straight line and BD||PC.Area $Δ A P D =$ ___

Discussion

9887.	In parallelogram ABCD given below:If ∠B=40°, then find the value of ∠A, ∠C and ∠D.
Answer» In parallelogram ABCD given below:If $∠ B = 40 °$ , then find the value of $∠ A, ∠ C a n d ∠ D .$

Discussion

9888.	Question 37In the class interval 20-30, the lower class limit is ___.
Answer» Question 37 In the class interval 20-30, the lower class limit is ___.

9888.

Question 37In the class interval 20-30, the lower class limit is ___.

Answer»

Question 37

In the class interval 20-30, the lower class limit is ___.

Discussion

9889.	The value of tan58∘ tan32∘ tan57∘ tan33∘ is
Answer» The value of $t a n 58^{\circ} t a n 32^{\circ} t a n 57^{\circ} t a n 33^{\circ}$ is

Discussion

9890.	The circumference of a circular field is 528 cm. Then its radius is __________.
Answer» The circumference of a circular field is 528 cm. Then its radius is __________.

Discussion

9891.	If one side of rectangle lies on 4x+7y+5=0 and two of its vertices are (-3,1) and (1,1), then find the equations of its other three sides.
Answer» If one side of rectangle lies on 4x+7y+5=0 and two of its vertices are (-3,1) and (1,1), then find the equations of its other three sides.

Discussion

9892.	A metal pipe is 77 cm long. The inner diameter of a cross-section is 4 cm, the outer diameter being 4.4 cm.Find its,(i) Inner curved surface area(ii) Outer curved surface area(iii) Total surface area. [Assume π=227]
Answer» A metal pipe is 77 cm long. The inner diameter of a cross-section is 4 cm, the outer diameter being 4.4 cm. Find its, (i) Inner curved surface area (ii) Outer curved surface area (iii) Total surface area. $[A s s u m e π = \frac{22}{7}]$

Discussion

9893.	Which of the following should be the SECOND sentence after rearrangement?
Answer» Which of the following should be the SECOND sentence after rearrangement?

Discussion

9894.	Let A = [aij] be a 3 × 3 matrix such that \|A\| = 5. If Cij = Cofactor of aij in A. Then a11 C11 + a12 C12 + a13 C13 = ________.
Answer» Let A = [a_ij] be a 3 × 3 matrix such that \|A\| = 5. If C_ij = Cofactor of a_ij in A. Then a₁₁ C₁₁ + a₁₂ C₁₂ + a₁₃ C₁₃ = ________.

Discussion

9895.	In Δ ABC, D is the midpoint of BC. if DL⊥ AB and DM⊥AC such that DL = DM, prove that AB = AC.
Answer» $I n Δ ABC, D is the midpoint of BC. if D L ⊥ A B a n d D M ⊥ A C such that DL = DM, prove that AB = AC.$

9895.

In Δ ABC, D is the midpoint of BC. if DL⊥ AB and DM⊥AC such that DL = DM, prove that AB = AC.

Answer»

$I n Δ ABC, D is the midpoint of BC. if D L ⊥ A B a n d D M ⊥ A C such that DL = DM, prove that AB = AC.$

Discussion

9896.	A metallic sphere of radius 10.5 cm is melted and thus recast into small cones each of radius 3.5 cm and height 3 cm. Find how many cones are obtained.
Answer» A metallic sphere of radius 10.5 cm is melted and thus recast into small cones each of radius 3.5 cm and height 3 cm. Find how many cones are obtained.

Discussion

9897.	Venn diagram for:-1: (A intersection B)'2:A' union B'
Answer» Venn diagram for:- 1: (A intersection B)' 2:A' union B'

Discussion

9898.	a^2+b^2+1/a^2+1/b^2=4 then (a^2+b^)=?
Answer» a^2+b^2+1/a^2+1/b^2=4 then (a^2+b^)=?

Discussion

9899.	6x+5y=9, cuts the X - axis on which point?
Answer» $6 x + 5 y = 9,$ cuts the X - axis on which point?

Discussion

9900.	Question 5 The points A(3,1), B(12,-2) and C(0,2) cannot be vertices of a triangle.
Answer» Question 5 The points A(3,1), B(12,-2) and C(0,2) cannot be vertices of a triangle.

Discussion

Explore topic-wise InterviewSolutions in .

If 3x-1 = 9 and 4y+2 = 64, what is the value of xy ?

Find the remainder when p(x)=x4+4x3+7x2−4 is divided by x+1.[Hint: Use remainder theorem]0

In the given figure, if ∠BAC = 60° and ∠BCA = 20°, find ∠ADC.

In fig. TQ and TR are bisectors of ∠Q and ∠R respectively. If ∠QPR = 80∘ and ∠PRT = 30∘. Determine ∠TQR. [4 MARKS]

x-2 is a factor of the polynomial P(x). Then, P(2) =

Can we represent -π through number line.If so how?

In the figure, lines PQ and RS intersect each other at point O. If ∠POR:∠ROQ=5:7. Find all the angles.

Which of these is not a solution of 2x+ 3y = 18?

12. A sector of circle if radius 9 cm has central angle of 120 degree. It is rolled up so that the two bounding radii are joined together to form a cone. Find 1. The slant height and of the cone 2. The radius of the base of the cone 3. The volume of the cone 4. The total surface area of the cone

Is ||gm ABCD a square? I. Diagonals of ||gm ABCD are equal. II. Diagonals of ||gm ABCD intersect at right angles. The correct answer is: (a)/(b)/(c)/(d).

Question 17What is the area of the rhombus ABCD below if AC = 6 cm and BE = 4 cm?(a) 36 cm2 (b) 16 cm2 (c) 24 cm2 (d) 13 cm2

Calculate the length of tape required to encircle a circular ring of radius 10 cm.

Question 6In the figure, POQ is a line. The value of x is:A) 20∘B) 25∘C) 30∘​​​​​​​D) 35∘

A road roller makes 200 rotations covering 2200 m. Find the radius of the roller.

Vihan spent Rs. 132 to buy movie tickets for 20 children and 4 adults. Each adult ticket costs Rs. 3 more than the child ticket. If A is the price of an adult ticket and S is the price of a child ticket, which system of equations could be used to find the price of each adult and child ticket?

Nikhil spent 5% of his monthly income on his children's education, invested 14% in shares, deposited 3% in a bank, and used 40% for his daily expenses. He was left with a balance of ₹19,000. Calculate his income that month.

Find the surface area of a sphere of diameter:(i) 14 cm (ii) 21 cm (iii) 3.5 m

In the given figure, QA = AB = BC = CR. If ar(ΔPQR) = 24 cm2, then area(ΔPAR) is

The number of 6-digit numbers of the form ababab (in base 10) each of which is a product of exactly 6 distinct primes is

According to the graph given below, find the value of y co-ordinate if x co-ordinate is 10.514.5

An irrational number between 5 and 6 is (a)12(5+6) (b)√5+6 (c)√5×6 (d) none of these

Find the value of ∠ADC.

Find the value of a such that (x − 4) is a factors of 5x3 − 7x2 − ax − 28.

Question 7 P and Q are the mid – points of the opposite sides AB and CD of a parallelogram ABCD. AQ intersects DP at S and BQ intersects CP at R. Show that PRQS is a parallelogram.

One of the solutions for the pair of equations ax−by=0 and ab2x+a2by=a2+b2 is:

In the given circle, with AB as diameter, find the value of 'x'.

Simplify the following expressions:(i) 3+72(ii) 5-32(iii) 25+322

Question 3Give one example each of a binomial of degree 35, and of a monomial of degree 100.

Sheela and Meena together have 30 coins. If Sheela gives 5 coins to Meena, Meena will have double the number of coins Sheela has. Plot the points on the graph. Also, find the solution of the equations.

If y & z are two complex numbers such that |y|=|z| and arg y=arg z then show that y & z are conjugate complex numbers. Also, if |y|=|z|=1 and arg y=arg z then show that y=1/z.

The number of interwoven isosceles triangles in a Sriyantra is(a) five(b) seven(c) nine(d) eleven

In the given figure, DE || BC in ∆ABC such that BC = 8 cm, AB = 6 cm and DA = 1.5 cm. Find DE.

A circus tent is in the shape of cylinder surmounted by a conical top of same diameter. If their common diameter is 56 m, the height of the cylindrical part is 6 m and the total height of the tent above the ground is 27 m, find the area of the canvas used in making the tent.

Describe mean, median and mode of an observation briefly.

In the given figure, ABP is a straight line and BD||PC.Area ΔAPD=___

In parallelogram ABCD given below:If ∠B=40°, then find the value of ∠A, ∠C and ∠D.

Question 37In the class interval 20-30, the lower class limit is ___.

The value of tan58∘ tan32∘ tan57∘ tan33∘ is

The circumference of a circular field is 528 cm. Then its radius is __________.

If one side of rectangle lies on 4x+7y+5=0 and two of its vertices are (-3,1) and (1,1), then find the equations of its other three sides.

A metal pipe is 77 cm long. The inner diameter of a cross-section is 4 cm, the outer diameter being 4.4 cm.Find its,(i) Inner curved surface area(ii) Outer curved surface area(iii) Total surface area. [Assume π=227]

Which of the following should be the SECOND sentence after rearrangement?

Let A = [aij] be a 3 × 3 matrix such that |A| = 5. If Cij = Cofactor of aij in A. Then a11 C11 + a12 C12 + a13 C13 = ________.

In Δ ABC, D is the midpoint of BC. if DL⊥ AB and DM⊥AC such that DL = DM, prove that AB = AC.

A metallic sphere of radius 10.5 cm is melted and thus recast into small cones each of radius 3.5 cm and height 3 cm. Find how many cones are obtained.

Venn diagram for:-1: (A intersection B)'2:A' union B'

a^2+b^2+1/a^2+1/b^2=4 then (a^2+b^)=?

6x+5y=9, cuts the X - axis on which point?

Question 5 The points A(3,1), B(12,-2) and C(0,2) cannot be vertices of a triangle.

Question 6In the figure, POQ is a line. The value of x is:A) 20∘B) 25∘C) 30∘D) 35∘