24740 + Interview Questions in Mathematics Page 115 InterviewSolution

5701.	Volume occupied by one molecules of water(density =1g/cm
Answer» Volume occupied by one molecules of water(density =1g/cm

Discussion

5702.	The height of a conical vessel is 3.5 cm. If its capacity is 3.3 litres of milk, find the diameter of its base.
Answer» The height of a conical vessel is 3.5 cm. If its capacity is 3.3 litres of milk, find the diameter of its base.

Discussion

5703.	A non-terminating and non-recurring decimal number is known as a/an _________.
Answer» A non-terminating and non-recurring decimal number is known as a/an _________.

Discussion

5704.	Question 5Use Euclid's division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8.
Answer» Question 5 Use Euclid's division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8.

Discussion

5705.	If Show that AB ≠ BA
Answer» If Show that AB ≠ BA

Discussion

5706.	The area of the figure formed by joining the mid-points of the adjacent sides of a rhombus with diagonals 16 cm and 12 cm is(a) 28 cm2(b) 48 cm2(c) 96 cm2(d) 24 cm2
Answer» The area of the figure formed by joining the mid-points of the adjacent sides of a rhombus with diagonals 16 cm and 12 cm is (a) 28 cm² (b) 48 cm² (c) 96 cm² (d) 24 cm²

Discussion

5707.	In the given figure, points X, Y, Z are the midpoints of side AB, side BC and side AC of ∆ABC respectively. AB = 5 cm, AC = 9 cm and BC = 11 cm. Find the length of XY, YZ, XZ.
Answer» In the given figure, points X, Y, Z are the midpoints of side AB, side BC and side AC of $∆$ ABC respectively. AB = 5 cm, AC = 9 cm and BC = 11 cm. Find the length of XY, YZ, XZ.

Discussion

5708.	The rationalisation factor of 2+3 is(a) 2-3(b) 2+3(c) 2-3(d) 3-2
Answer» The rationalisation factor of $2 + \sqrt{3}$ is (a) $2 - \sqrt{3}$ (b) $2 + \sqrt{3}$ (c) $\sqrt{2} - 3$ (d) $\sqrt{3} - 2$

Discussion

5709.	For what values of a and b, the following equations have infinite solutions: (3)2x+3y = 7; (a -b) x+ (a +b) y = 3a+b-2.
Answer» For what values of a and b, the following equations have infinite solutions: (3) 2x+3y = 7; (a -b) x+ (a +b) y = 3a+b-2.

Discussion

5710.	An umbrella is made by stitching 10 triangular piece of cloth of two different colors each piece measuring 20 CM 50 cm and 50 cm how much cloth of each color is required for the umbrella
Answer» An umbrella is made by stitching 10 triangular piece of cloth of two different colors each piece measuring 20 CM 50 cm and 50 cm how much cloth of each color is required for the umbrella

Discussion

5711.	Question 10Corresponding sides of two similar triangles are in the ratio of 2:3. If the area of the smaller triangles is 48 cm2, then find the area of the larger triangle.
Answer» Question 10 Corresponding sides of two similar triangles are in the ratio of 2:3. If the area of the smaller triangles is 48 $c m^{2}$ , then find the area of the larger triangle.

Discussion

5712.	In a survey of 364 children aged 19-36 months, it was found that 91 liked to eat potato chips. If a child is selected at random, the probability that he/she does not like to eat potato chips is (a) 14 (b) 12 (c) 34 (d) 45
Answer» In a survey of 364 children aged 19-36 months, it was found that 91 liked to eat potato chips. If a child is selected at random, the probability that he/she does not like to eat potato chips is (a) $\frac{1}{4}$ (b) $\frac{1}{2}$ (c) $\frac{3}{4}$ (d) $\frac{4}{5}$

5712.

In a survey of 364 children aged 19-36 months, it was found that 91 liked to eat potato chips. If a child is selected at random, the probability that he/she does not like to eat potato chips is (a) 14 (b) 12 (c) 34 (d) 45

Answer»

In a survey of 364 children aged 19-36 months, it was found that 91 liked to eat potato chips. If a child is selected at random, the probability that he/she does not like to eat potato chips is

(a) $\frac{1}{4}$

(b) $\frac{1}{2}$

(c) $\frac{3}{4}$

(d) $\frac{4}{5}$

Discussion

5713.	Question 14Without actually calculating the cubes, find the value of each of the following:(i)(−12)3+(7)3+(5)3(ii)(28)3+(−15)3+(−13)3
Answer» Question 14 Without actually calculating the cubes, find the value of each of the following: $(i) (- 12)^{3} + (7)^{3} + (5)^{3}$ $(i i) (28)^{3} + (- 15)^{3} + (- 13)^{3}$

Discussion

5714.	If both x−2 and x−12 are factors of px2+5x+r , then
Answer» If both $x - 2$ and $x - \frac{1}{2}$ are factors of $p x^{2} + 5 x + r$ , then

Discussion

5715.	In a ΔABC, if D is the midpoint of BC and AD is perpendicular to AC, then which of the following is/are true?
Answer» In a $Δ A B C,$ if $D$ is the midpoint of $B C$ and $A D$ is perpendicular to $A C$ , then which of the following is/are true?

Discussion

5716.	If the sum of a, b and c is equal to the even prime, then find the value of 24a−b−c×24b−c−a×24c−a−b. ___
Answer» If the sum of $a$ , $b$ and $c$ is equal to the even prime, then find the value of $2^{4 a - b - c} \times 2^{4 b - c - a} \times 2^{4 c - a - b}$ . ___

Discussion

5717.	From the above figure, RS and PQ are ________ .
Answer» From the above figure, RS and PQ are ________ .

Discussion

5718.	A perpendicular bisector of a line segment ___.
Answer» A perpendicular bisector of a line segment ___.

Discussion

5719.	Compute the income tax of Miss Varsha (Age 26 years) and she has a taxable income of Rs. 2,30,000. \N
Answer» Compute the income tax of Miss Varsha (Age 26 years) and she has a taxable income of Rs. 2,30,000. \N

Discussion

5720.	The ordinate of any point on x-axis is(a) 0(b) 1(c) −1(d) any number
Answer» The ordinate of any point on x-axis is (a) 0 (b) 1 (c) −1 (d) any number

Discussion

5721.	What sum of money will amount to Rs. 27,783 in one and a half years at 10% per annum compounded half yearly ?
Answer» What sum of money will amount to Rs. 27,783 in one and a half years at 10% per annum compounded half yearly ?

Discussion

5722.	35. How many triangles and straight line can be formed by joining any of the 12 points in a plane of which 4 are collinear?
Answer» 35. How many triangles and straight line can be formed by joining any of the 12 points in a plane of which 4 are collinear?

Discussion

5723.	Construct the quadrilateral JUMP whereJU =3.5 cm, UM = 4 cm, MP = 5cm, PJ=4.5 cm, PU= 6.5 cm
Answer» Construct the quadrilateral JUMP where JU =3.5 cm, UM = 4 cm, MP = 5cm, PJ=4.5 cm, PU= 6.5 cm

5723.

Construct the quadrilateral JUMP whereJU =3.5 cm, UM = 4 cm, MP = 5cm, PJ=4.5 cm, PU= 6.5 cm

Answer»

Construct the quadrilateral JUMP where

JU =3.5 cm, UM = 4 cm, MP = 5cm, PJ=4.5 cm, PU= 6.5 cm

Discussion

5724.	Question 2 A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.
Answer» Question 2 A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.

Discussion

5725.	If Z ^5, minus 32 can be factorised as linear factor of (Z- 2) (Z^2- pz + 4)(Z^2 - qz+4) find p^2+2q
Answer» If Z ^5, minus 32 can be factorised as linear factor of (Z- 2) (Z^2- pz + 4)(Z^2 - qz+4) find p^2+2q

Discussion

5726.	A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm, find the total surface area of the article (in cm2).__
Answer» A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm, find the total surface area of the article (in $c m^{2}$ ). __

5726.

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm, find the total surface area of the article (in cm2).__

Answer»

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm, find the total surface area of the article (in $c m^{2}$ ).

__

Discussion

5727.	Question 17A window of a house is h m above the ground. Form the window, the angles of elevation and depression of the top and the bottom of another house situated on the opposite side of the lane are found to be α and β, respectively. Prove that the height of the other house is h(1+tan α cot β)m.
Answer» Question 17 A window of a house is h m above the ground. Form the window, the angles of elevation and depression of the top and the bottom of another house situated on the opposite side of the lane are found to be $α$ and $β$ , respectively. Prove that the height of the other house is $h (1 + t a n α c o t β) m$ .

Discussion

5728.	Outcome2356Frequency10141620 A dice was thrown 80 times and the frequency of occurrence of 2, 3, 5 and 6 is given in the table. What is the probability of occurrence of 1 or 4?
Answer» $\begin{matrix} Outcome & 2 & 3 & 5 & 6 Frequency & 10 & 14 & 16 & 20 \end{matrix}$ A dice was thrown 80 times and the frequency of occurrence of 2, 3, 5 and 6 is given in the table. What is the probability of occurrence of 1 or 4?

5728.

Outcome2356Frequency10141620 A dice was thrown 80 times and the frequency of occurrence of 2, 3, 5 and 6 is given in the table. What is the probability of occurrence of 1 or 4?

Answer»

$\begin{matrix} Outcome & 2 & 3 & 5 & 6 Frequency & 10 & 14 & 16 & 20 \end{matrix}$

A dice was thrown 80 times and the frequency of occurrence of 2, 3, 5 and 6 is given in the table. What is the probability of occurrence of 1 or 4?

Discussion

5729.	Question1 (v)Answer the following and justifyv) Can the quadratic polynomial x2+kx+k have equal zeroes for some odd integer k > 1?
Answer» Question1 (v) Answer the following and justify v) Can the quadratic polynomial $x^{2} + k x + k$ have equal zeroes for some odd integer k > 1?

Discussion

5730.	The diameter of a road roller is 40 cm. It is 70 cm long. What is the area of levelled surface, when it rolls once?
Answer» The diameter of a road roller is 40 cm. It is 70 cm long. What is the area of levelled surface, when it rolls once?

Discussion

5731.	Visualizing Euclid’s division algorithm, find the values of a,b and c.
Answer» Visualizing Euclid’s division algorithm, find the values of $a, b$ and $c .$

Discussion

5732.	Find The area of a triangle measures 5 cm,12cm,13cm
Answer» Find The area of a triangle measures 5 cm,12cm,13cm

Discussion

5733.	Which of the following is not the outcome when you throw an unbiased die?
Answer» Which of the following is not the outcome when you throw an unbiased die?

Discussion

5734.	Question 2 (iii)Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:x3−3x+1,x5−4x3+x2+3x+1
Answer» Question 2 (iii) Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: $x^{3} - 3 x + 1, x^{5} - 4 x^{3} + x^{2} + 3 x + 1$

5734.

Question 2 (iii)Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:x3−3x+1,x5−4x3+x2+3x+1

Answer»

Question 2 (iii)

Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:

$x^{3} - 3 x + 1, x^{5} - 4 x^{3} + x^{2} + 3 x + 1$

Discussion

5735.	I want to ask that 6.67 ÷ 2.25 the Ans is to long but 2.25 × 3 = 6.67 Why it like this.
Answer» I want to ask that 6.67 ÷ 2.25 the Ans is to long but 2.25 × 3 = 6.67 Why it like this.

Discussion

5736.

Question 2 (iii) Find 0.7 ÷ 10

Answer»

Question 2 (iii)

Find
0.7

\div

10

Discussion

5737.	The value of (3+ cot76^°.cot16^°)/ cot76^°+ cot16^° is equal to tanx^°, then x-40 is equal to
Answer» The value of (3+ cot76^°.cot16^°)/ cot76^°+ cot16^° is equal to tanx^°, then x-40 is equal to

Discussion

5738.	Match the following to their simplified expressions.
Answer» Match the following to their simplified expressions.

Discussion

5739.	If the bisectors of the base angles of a triangle enclose an angle of 135°, prove that the triangle is a right triangle.
Answer» If the bisectors of the base angles of a triangle enclose an angle of 135°, prove that the triangle is a right triangle.

Discussion

5740.	Two circles of radius 3 cm and 5cm have a common centre, O. AB is a chord to both the circles and length of CD is 2√5 cm. Find the distance of the chord from the centre and the length AC.
Answer» Two circles of radius 3 cm and 5cm have a common centre, O. AB is a chord to both the circles and length of CD is $2 \sqrt{5}$ cm. Find the distance of the chord from the centre and the length AC.

5740.

Two circles of radius 3 cm and 5cm have a common centre, O. AB is a chord to both the circles and length of CD is 2√5 cm. Find the distance of the chord from the centre and the length AC.

Answer»

Two circles of radius 3 cm and 5cm have a common centre, O. AB is a chord to both the circles and length of CD is $2 \sqrt{5}$ cm. Find the distance of the chord from the centre and the length AC.

Discussion

5741.	In the following figure, ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE intersects BC at F,Show that ar(BDE)=12ar(BAE)
Answer» In the following figure, ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE intersects BC at F, Show that $a r (B D E) = \frac{1}{2} a r (B A E)$

Discussion

5742.	If the line from the centre of a circle to a chord (other than the diameter) bisects the chord, then the angle between the chord and the line is:
Answer» If the line from the centre of a circle to a chord (other than the diameter) bisects the chord, then the angle between the chord and the line is:

Discussion

5743.	Triangle ABC is an isoceles triangle .BD is the altitude to base AC .AF is the median to BC.AF meets BD at G. Find the number of square cm^2 in the area of △ ABG if BD=234 cmand AF=195 cm
Answer» Triangle ABC is an isoceles triangle .BD is the altitude to base AC .AF is the median to BC.AF meets BD at G. Find the number of square cm^2 in the area of △ ABG if BD=234 cmand AF=195 cm

Discussion

5744.	Prove that the bisectors of two adjacent supplementary angles include a right angle.
Answer» Prove that the bisectors of two adjacent supplementary angles include a right angle.

Discussion

5745.	An exterior angle of a triangle is 105o and its two interior opposite angles are equal. Each of these equal interior angles are
Answer» An exterior angle of a triangle is 105^o and its two interior opposite angles are equal. Each of these equal interior angles are

Discussion

5746.	In the given figure, O is the centre of the circle. Find x.
Answer» In the given figure, $O$ is the centre of the circle. Find $x$ .

5746.

In the given figure, O is the centre of the circle. Find x.

Answer»

In the given figure, $O$ is the centre of the circle. Find $x$ .

Discussion

5747.	In the figure, the diagonals of a quadrilateral split it into four triangles. The areas of three of them are shown in the picture:Calculate the area of the whole quadrilateral.
Answer» In the figure, the diagonals of a quadrilateral split it into four triangles. The areas of three of them are shown in the picture: Calculate the area of the whole quadrilateral.

Discussion

5748.	if a, b and y are the roots of the equation x³-4x²-53x+168 then the relation between the zeroes isa) 3a+b=2yb)3a+4b=4Yc)3a+b=4yd)a+2b=ye)none of these
Answer» if a, b and y are the roots of the equation x³-4x²-53x+168 then the relation between the zeroes is a) 3a+b=2y b)3a+4b=4Y c)3a+b=4y d)a+2b=y e)none of these

Discussion

5749.	From the given figure, what can be said about quadrilateral ABCD?
Answer» From the given figure, what can be said about quadrilateral ABCD?

5749.

From the given figure, what can be said about quadrilateral ABCD?

Answer»

From the given figure, what can be said about quadrilateral ABCD?

Discussion

5750.	ABC and ABD are two triangles on the same base AB. If line- segment CD is bisected by AB at O,show that area(△ABC) = area(△ABD). [2 MARKS]
Answer» ABC and ABD are two triangles on the same base AB. If line- segment CD is bisected by AB at O, show that area( $△$ ABC) = area( $△$ ABD). [2 MARKS]

Discussion

Explore topic-wise InterviewSolutions in .

Volume occupied by one molecules of water(density =1g/cm

The height of a conical vessel is 3.5 cm. If its capacity is 3.3 litres of milk, find the diameter of its base.

A non-terminating and non-recurring decimal number is known as a/an _________.

Question 5Use Euclid's division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8.

If Show that AB ≠ BA

The area of the figure formed by joining the mid-points of the adjacent sides of a rhombus with diagonals 16 cm and 12 cm is(a) 28 cm2(b) 48 cm2(c) 96 cm2(d) 24 cm2

In the given figure, points X, Y, Z are the midpoints of side AB, side BC and side AC of ∆ABC respectively. AB = 5 cm, AC = 9 cm and BC = 11 cm. Find the length of XY, YZ, XZ.

The rationalisation factor of 2+3 is(a) 2-3(b) 2+3(c) 2-3(d) 3-2

For what values of a and b, the following equations have infinite solutions: (3)2x+3y = 7; (a -b) x+ (a +b) y = 3a+b-2.

An umbrella is made by stitching 10 triangular piece of cloth of two different colors each piece measuring 20 CM 50 cm and 50 cm how much cloth of each color is required for the umbrella

Question 10Corresponding sides of two similar triangles are in the ratio of 2:3. If the area of the smaller triangles is 48 cm2, then find the area of the larger triangle.

In a survey of 364 children aged 19-36 months, it was found that 91 liked to eat potato chips. If a child is selected at random, the probability that he/she does not like to eat potato chips is (a) 14 (b) 12 (c) 34 (d) 45

Question 14Without actually calculating the cubes, find the value of each of the following:(i)(−12)3+(7)3+(5)3(ii)(28)3+(−15)3+(−13)3

If both x−2 and x−12 are factors of px2+5x+r , then

In a ΔABC, if D is the midpoint of BC and AD is perpendicular to AC, then which of the following is/are true?

If the sum of a, b and c is equal to the even prime, then find the value of 24a−b−c×24b−c−a×24c−a−b. ___

From the above figure, RS and PQ are ________ .

A perpendicular bisector of ​​​​​​a line segment ___.

Compute the income tax of Miss Varsha (Age 26 years) and she has a taxable income of Rs. 2,30,000. \N

The ordinate of any point on x-axis is(a) 0(b) 1(c) −1(d) any number

What sum of money will amount to Rs. 27,783 in one and a half years at 10% per annum compounded half yearly ?

35. How many triangles and straight line can be formed by joining any of the 12 points in a plane of which 4 are collinear?

Construct the quadrilateral JUMP whereJU =3.5 cm, UM = 4 cm, MP = 5cm, PJ=4.5 cm, PU= 6.5 cm

Question 2 A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.

If Z ^5, minus 32 can be factorised as linear factor of (Z- 2) (Z^2- pz + 4)(Z^2 - qz+4) find p^2+2q

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm, find the total surface area of the article (in cm2).__

Outcome2356Frequency10141620 A dice was thrown 80 times and the frequency of occurrence of 2, 3, 5 and 6 is given in the table. What is the probability of occurrence of 1 or 4?

Question1 (v)Answer the following and justifyv) Can the quadratic polynomial x2+kx+k have equal zeroes for some odd integer k &gt; 1?

The diameter of a road roller is 40 cm. It is 70 cm long. What is the area of levelled surface, when it rolls once?

Visualizing Euclid’s division algorithm, find the values of a,b and c.

Find The area of a triangle measures 5 cm,12cm,13cm

Which of the following is not the outcome when you throw an unbiased die?

Question 2 (iii)Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:x3−3x+1,x5−4x3+x2+3x+1

I want to ask that 6.67 ÷ 2.25 the Ans is to long but 2.25 × 3 = 6.67 Why it like this.

Question 2 (iii) Find 0.7 ÷ 10

The value of (3+ cot76^°.cot16^°)/ cot76^°+ cot16^° is equal to tanx^°, then x-40 is equal to

Match the following to their simplified expressions.

If the bisectors of the base angles of a triangle enclose an angle of 135°, prove that the triangle is a right triangle.

Two circles of radius 3 cm and 5cm have a common centre, O. AB is a chord to both the circles and length of CD is 2√5 cm. Find the distance of the chord from the centre and the length AC.

In the following figure, ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE intersects BC at F,Show that ar(BDE)=12ar(BAE)

If the line from the centre of a circle to a chord (other than the diameter) bisects the chord, then the angle between the chord and the line is:

Triangle ABC is an isoceles triangle .BD is the altitude to base AC .AF is the median to BC.AF meets BD at G. Find the number of square cm^2 in the area of △ ABG if BD=234 cmand AF=195 cm

Prove that the bisectors of two adjacent supplementary angles include a right angle.

An exterior angle of a triangle is 105o and its two interior opposite angles are equal. Each of these equal interior angles are

In the given figure, O is the centre of the circle. Find x.

In the figure, the diagonals of a quadrilateral split it into four triangles. The areas of three of them are shown in the picture:Calculate the area of the whole quadrilateral.

if a, b and y are the roots of the equation x³-4x²-53x+168 then the relation between the zeroes isa) 3a+b=2yb)3a+4b=4Yc)3a+b=4yd)a+2b=ye)none of these

From the given figure, what can be said about quadrilateral ABCD?

ABC and ABD are two triangles on the same base AB. If line- segment CD is bisected by AB at O,show that area(△ABC) = area(△ABD). [2 MARKS]

A perpendicular bisector of a line segment ___.

Question1 (v)Answer the following and justifyv) Can the quadratic polynomial x2+kx+k have equal zeroes for some odd integer k > 1?