24740 + Interview Questions in Mathematics Page 185 InterviewSolution

9201.	A sphere and a hemisphere have same total surface area. Find the ratio of their radii i.e.r1r2, where r1 and r2 are the radii of sphere and hemisphere respectively.
Answer» A sphere and a hemisphere have same total surface area. Find the ratio of their radii i.e. $\frac{r_{1}}{r_{2}}$ , where $r_{1}$ and $r_{2}$ are the radii of sphere and hemisphere respectively.

Discussion

9202.	The radius of a circle is 8 cm and the length of one of its chords is 12 cm. Find the distance of the chord from the centre.
Answer» The radius of a circle is 8 cm and the length of one of its chords is 12 cm. Find the distance of the chord from the centre.

Discussion

9203.	If PA and PB are tangents from an outside point P such that PA = 10 cm and ∠APB = 60°. Find the length of chord AB.
Answer» If PA and PB are tangents from an outside point P such that PA = 10 cm and ∠APB = 60°. Find the length of chord AB.

Discussion

9204.	If an angle is 28° less than its complement, find its measure.
Answer» If an angle is 28° less than its complement, find its measure.

Discussion

9205.	A kite in the shape of a square with a diagonal 32 cm and an isosceles triangles of base 8 cm and sides 6 cm each is to be made of three different shades as shown in the given figure. How much paper of each shade has been used in it?
Answer» A kite in the shape of a square with a diagonal 32 cm and an isosceles triangles of base 8 cm and sides 6 cm each is to be made of three different shades as shown in the given figure. How much paper of each shade has been used in it?

9205.

A kite in the shape of a square with a diagonal 32 cm and an isosceles triangles of base 8 cm and sides 6 cm each is to be made of three different shades as shown in the given figure. How much paper of each shade has been used in it?

Answer»

A kite in the shape of a square with a diagonal 32 cm and an isosceles triangles of base 8 cm and sides 6 cm each is to be made of three different shades as shown in the given figure. How much paper of each shade has been used in it?

Discussion

9206.	If there exist exactly one complex number satisfying the conditions \| z - ki \|≤√3 & arg(z) ≤π/6 find k
Answer» If there exist exactly one complex number satisfying the conditions \| z - ki \|≤√3 & arg(z) ≤π/6 find k

Discussion

9207.	Find the equation of a line parallel to the y-axis passing through the point P(4, -1).
Answer» Find the equation of a line parallel to the y-axis passing through the point P(4, -1).

Discussion

9208.	ABC is a triangle with B as right angle, AC = 5 cm and AB = 4 cm. A circle is drawn with A as centre and AC as radius. The length of the chord of this circle passing through C and B is(a) 3 cm(b) 4 cm(c) 5 cm(d) 6 cm
Answer» ABC is a triangle with B as right angle, AC = 5 cm and AB = 4 cm. A circle is drawn with A as centre and AC as radius. The length of the chord of this circle passing through C and B is (a) 3 cm (b) 4 cm (c) 5 cm (d) 6 cm

Discussion

9209.	Question 22 Which of the points P(0, 3), Q(1, 0),R(0, -1),S(-5, 0) and T(1, 2) do not lie on the x-axis? A) P and R only B) Q and S only C) P, R and T D) Q, S and T
Answer» Question 22 Which of the points P(0, 3), Q(1, 0),R(0, -1),S(-5, 0) and T(1, 2) do not lie on the x-axis? A) P and R only B) Q and S only C) P, R and T D) Q, S and T

Discussion

9210.	ABCD is a parallelogram and X and Y are the mid-points of AD and BC respectively. Which of thefollowing is not true?(1) CX trisects BD(2) AY trisects BD(3) △ ABY∼ △ CDX (4) BX is not parallel to DY
Answer» ABCD is a parallelogram and X and Y are the mid-points of AD and BC respectively. Which of thefollowing is not true?(1) CX trisects BD(2) AY trisects BD(3) △ ABY∼ △ CDX (4) BX is not parallel to DY

Discussion

9211.	If the base of a triangle is 24cm and height is 48cm.What will be the area of the triangle in cm2 ?
Answer» If the base of a triangle is 24cm and height is 48cm.What will be the area of the triangle in ${c m}^{2}$ ?

Discussion

9212.	In the following figure, ABCD is parallelogram and BC is produced to a point Q such that AD =CQ. If AQ intersects DC at P,Show that ar (BPC)= ar (DPQ).
Answer» In the following figure, ABCD is parallelogram and BC is produced to a point Q such that AD =CQ. If AQ intersects DC at P, Show that ar (BPC)= ar (DPQ).

Discussion

9213.	The value of 0.¯¯¯¯¯¯32+0.¯¯¯3 is equal to
Answer» The value of $0. ¯ ¯¯¯¯ ¯ 32 + 0. ¯ ¯ ¯ 3$ is equal to

Discussion

9214.	The cost of constructing a wall 8 m long, 4 m high and 10 cm thick at the rate of Rs. 25 per m3 is(a) Rs. 16(b) Rs. 80(c) Rs. 160(d) Rs. 320
Answer» The cost of constructing a wall 8 m long, 4 m high and 10 cm thick at the rate of Rs. 25 per m³ is (a) Rs. 16 (b) Rs. 80 (c) Rs. 160 (d) Rs. 320

Discussion

9215.	The area of the square inscribed in a semicircle is 2 cm2 . If the semi-circle is extended to a full circle, the area of the square inscribed in this circle is
Answer» The area of the square inscribed in a semicircle is $2 c m^{2}$ . If the semi-circle is extended to a full circle, the area of the square inscribed in this circle is

Discussion

9216.	Which one of the following function is analytic in the region \|Z\|≤1?
Answer» Which one of the following function is analytic in the region $\| Z \| \leq 1$ ?

Discussion

9217.	How to plot irrational no. on number line like pie
Answer» How to plot irrational no. on number line like pie

Discussion

9218.

Look at the letters given below and make words starting with them. k _______ _ _ p _ _ _ j _ _ _ t _ _ _ m _ _ _________

Answer» Look at the letters given below and make words starting with them.

k	_______________	_______________	_______________
p	_______________	_______________	_______________
j	_______________	_______________	_______________
t	_______________	_______________	_______________
m	_______________	_______________	_______________

Discussion

9219.	If f(x) = sin x, then f'-π4 = ____________________.
Answer» If f(x) = $\|\sin x\|, then f' (- \frac{π}{4}) =____________________.$

Discussion

9220.	The mean of 40 numbers was found to be 38. Later on, it was detected that a number 56 was misread as 36 . Find the correct mean of the ( data ) given no's
Answer» The mean of 40 numbers was found to be 38. Later on, it was detected that a number 56 was misread as 36 . Find the correct mean of the ( data ) given no's

Discussion

9221.	If (x,y) are the coordinates of any point P, at the same time if (x,y) = (y,x), which of following options must hold true?
Answer» If (x,y) are the coordinates of any point P, at the same time if (x,y) = (y,x), which of following options must hold true?

Discussion

9222.	S1 : Sum of 5 consecutive odd numbersS2 : Sum of 4 consecutive even numbersSum of twice of S1 and thrice of S2 is 178. Also, the sum of thrice of S1 and twice of S2 is 177.If all the 9 numbers are arranged in ascending order, then find the sum of the smallest and largest number.
Answer» $S_{1}$ : Sum of 5 consecutive odd numbers $S_{2}$ : Sum of 4 consecutive even numbers Sum of twice of $S_{1}$ and thrice of $S_{2}$ is 178. Also, the sum of thrice of $S_{1}$ and twice of $S_{2}$ is 177. If all the 9 numbers are arranged in ascending order, then find the sum of the smallest and largest number.

Discussion

9223.	(a+b+c)2–(ab+bc+ca)= __________
Answer» $(a + b + c)^{2} - (a b + b c + c a)$ = __________

Discussion

9224.	Question 15Coefficient of y in the term −y3 isa) −1b) −3c) −13d) 13
Answer» Question 15 Coefficient of y in the term $\frac{- y}{3}$ is a) $- 1$ b) $- 3$ c) $\frac{- 1}{3}$ d) $\frac{1}{3}$

Discussion

9225.	If x = 1/2-\surd3,then find the value of x^3-2x^2-7x+5
Answer» If x = 1/2-\surd3,then find the value of x^3-2x^2-7x+5

Discussion

9226.	Question 142 Fill in the blank to make the statement true. Two numbers having only 1 as a common factor, are called ....... numbers.
Answer» Question 142 Fill in the blank to make the statement true. Two numbers having only 1 as a common factor, are called ....... numbers.

9226.

Question 142 Fill in the blank to make the statement true. Two numbers having only 1 as a common factor, are called ....... numbers.

Answer»

Question 142

Fill in the blank to make the statement true.

Two numbers having only 1 as a common factor, are called ....... numbers.

Discussion

9227.	If the radius and slant height of a cone are in the ratio 7 : 13 and its curved surface area is 286 cm2, find its radius.
Answer» If the radius and slant height of a cone are in the ratio 7 : 13 and its curved surface area is 286 cm², find its radius.

Discussion

9228.	The median class for the following data is MarksBelow 10Below 20Below 30Below 40Below 50No. of students 510233140
Answer» The median class for the following data is $\begin{matrix} Marks & Below 10 & Below 20 & Below 30 & Below 40 & Below 50 No. of students & 5 & 10 & 23 & 31 & 40 \end{matrix}$

Discussion

9229.	Find the sum of first 30 terms of an A.P. whose second term is 2 and seventh term is 22.
Answer» Find the sum of first 30 terms of an A.P. whose second term is 2 and seventh term is 22.

Discussion

9230.	If a=2+1, then find the value of a-1a.
Answer» If $a = \sqrt{2} + 1$ , then find the value of $a - \frac{1}{a}$ .

Discussion

9231.	Out of the following fractions which is the smallest and which is the greatest? 12,63,35,32,34
Answer» Out of the following fractions which is the smallest and which is the greatest? $\frac{1}{2}, \frac{6}{3}, \frac{3}{5}, \frac{3}{2}, \frac{3}{4}$

Discussion

9232.	What is the probability that there are 53 Sundays in a leap year?
Answer» What is the probability that there are 53 Sundays in a leap year?

Discussion

9233.	If the point (2, 5) lies on the graph of 3y = ax + 7, then find the value of a. __
Answer» If the point (2, 5) lies on the graph of 3y = ax + 7, then find the value of a. __

Discussion

9234.	The probability of a certain event is(a) 0(b) 1(c) greater than 1(d) less than 0
Answer» The probability of a certain event is (a) 0 (b) 1 (c) greater than 1 (d) less than 0

Discussion

9235.	Which of the given less than cumulative frequency curve (ogive) correctly represents the following distribution? Height110−120120−130130−140140−150150−160Number of students 7 9 12 10 4
Answer» Which of the given less than cumulative frequency curve (ogive) correctly represents the following distribution? $\begin{matrix} Height & 110 - 120 & 120 - 130 & 130 - 140 & 140 - 150 & 150 - 160 Number of students & 7 & 9 & 12 & 10 & 4 \end{matrix}$

9235.

Which of the given less than cumulative frequency curve (ogive) correctly represents the following distribution? Height110−120120−130130−140140−150150−160Number of students 7 9 12 10 4

Answer»

Which of the given less than cumulative frequency curve (ogive) correctly represents the following distribution?

$\begin{matrix} Height & 110 - 120 & 120 - 130 & 130 - 140 & 140 - 150 & 150 - 160 Number of students & 7 & 9 & 12 & 10 & 4 \end{matrix}$

Discussion

9236.	In the figure, if ∠OAB=40∘, ∠ACB is equal to
Answer» In the figure, if $∠ O A B = 40^{\circ}$ , $∠ A C B$ is equal to

Discussion

9237.	Question 10M is a point on side BC of a triangle ABC such that AM is the bisector of ∠BAC. Is it true to say that perimeter of the triangle is greater than 2AM? Give reason for your answer.
Answer» Question 10 M is a point on side BC of a triangle ABC such that AM is the bisector of $∠ B A C$ . Is it true to say that perimeter of the triangle is greater than 2AM? Give reason for your answer.

Discussion

9238.	In Indus Valley Civilisation (about BC 3000), the bricks used for construction work were having dimensions in the ratio of(a) 5 : 3 : 2(b) 4 : 2 : 1(c) 4 : 3 : 2(d) 6 : 4 : 2
Answer» In Indus Valley Civilisation (about BC 3000), the bricks used for construction work were having dimensions in the ratio of (a) 5 : 3 : 2 (b) 4 : 2 : 1 (c) 4 : 3 : 2 (d) 6 : 4 : 2

Discussion

9239.	"There is more than one way of constructing an angle of 135∘ using angular bisectors and perpendicular bisectors." Justify this statement.
Answer» "There is more than one way of constructing an angle of $135^{\circ}$ using angular bisectors and perpendicular bisectors." Justify this statement.

Discussion

9240.	How to convert 0.0032 in p/q form, where p and q are co-prime and q≠0?
Answer» How to convert 0.0032 in p/q form, where p and q are co-prime and q≠0?

Discussion

9241.	In the figure, lines AB and CD are parallel and P is any point as shown in the figure. Show that ∠ABP+∠CDP=∠DPB.
Answer» In the figure, lines AB and CD are parallel and P is any point as shown in the figure. Show that $∠ A B P + ∠ C D P = ∠ D P B$ .

9241.

In the figure, lines AB and CD are parallel and P is any point as shown in the figure. Show that ∠ABP+∠CDP=∠DPB.

Answer»

In the figure, lines AB and CD are parallel and P is any point as shown in the figure. Show that $∠ A B P + ∠ C D P = ∠ D P B$ .

Discussion

9242.	f three coins are tossed at a time, then the probability that tail will appear on all the coins is
Answer» f three coins are tossed at a time, then the probability that tail will appear on all the coins is

Discussion

9243.	A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?
Answer» A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?

Discussion

9244.	Question 3(iii)Factorise the expressions2x3+2xy2+2xz2
Answer» Question 3(iii) Factorise the expressions $2 x^{3} + 2 x y^{2} + 2 x z^{2}$

Discussion

9245.	A histogram is a pictorial representation of the grouped data in which class intervals and frequency are respectively taken along(a) vertical axis and horizontal axis(b) vertical axis only(c) horizontal axis only(d) Horizontal axis and vertical axis
Answer» A histogram is a pictorial representation of the grouped data in which class intervals and frequency are respectively taken along (a) vertical axis and horizontal axis (b) vertical axis only (c) horizontal axis only (d) Horizontal axis and vertical axis

Discussion

9246.	If x4+1/x4=119,find the value of x3-1/x3
Answer» If x⁴+1/x⁴=119,find the value of x³-1/x³

Discussion

9247.	What must be added to x3 − 3x2 − 12x + 19 so that the result is exactly divisibly by x2 + x - 6 ?
Answer» What must be added to x³ − 3x² − 12x + 19 so that the result is exactly divisibly by x² + x - 6 ?

Discussion

9248.	Find the most demanded shirt size. Shirtsize3839404142Numbersold6073899023
Answer» Find the most demanded shirt size. $\begin{matrix} S h i r t s i z e & 38 & 39 & 40 & 41 & 42 N u m b e r s o l d & 60 & 73 & 89 & 90 & 23 \end{matrix}$

9248.

Find the most demanded shirt size. Shirtsize3839404142Numbersold6073899023

Answer»

Find the most demanded shirt size.

$\begin{matrix} S h i r t s i z e & 38 & 39 & 40 & 41 & 42 N u m b e r s o l d & 60 & 73 & 89 & 90 & 23 \end{matrix}$

Discussion

9249.	is a terminating decimal.
Answer» is a terminating decimal.

Discussion

9250.	A trapezium can be constructed by
Answer» A trapezium can be constructed by

Discussion

Explore topic-wise InterviewSolutions in .

A sphere and a hemisphere have same total surface area. Find the ratio of their radii i.e.r1r2, where r1 and r2 are the radii of sphere and hemisphere respectively.

The radius of a circle is 8 cm and the length of one of its chords is 12 cm. Find the distance of the chord from the centre.

If PA and PB are tangents from an outside point P such that PA = 10 cm and ∠APB = 60°. Find the length of chord AB.

If an angle is 28° less than its complement, find its measure.

A kite in the shape of a square with a diagonal 32 cm and an isosceles triangles of base 8 cm and sides 6 cm each is to be made of three different shades as shown in the given figure. How much paper of each shade has been used in it?

If there exist exactly one complex number satisfying the conditions | z - ki |≤√3 & arg(z) ≤π/6 find k

Find the equation of a line parallel to the y-axis passing through the point P(4, -1).

ABC is a triangle with B as right angle, AC = 5 cm and AB = 4 cm. A circle is drawn with A as centre and AC as radius. The length of the chord of this circle passing through C and B is(a) 3 cm(b) 4 cm(c) 5 cm(d) 6 cm

Question 22 Which of the points P(0, 3), Q(1, 0),R(0, -1),S(-5, 0) and T(1, 2) do not lie on the x-axis? A) P and R only B) Q and S only C) P, R and T D) Q, S and T

ABCD is a parallelogram and X and Y are the mid-points of AD and BC respectively. Which of thefollowing is not true?(1) CX trisects BD(2) AY trisects BD(3) △ ABY∼ △ CDX (4) BX is not parallel to DY

If the base of a triangle is 24cm and height is 48cm.What will be the area of the triangle in cm2 ?

In the following figure, ABCD is parallelogram and BC is produced to a point Q such that AD =CQ. If AQ intersects DC at P,Show that ar (BPC)= ar (DPQ).

The value of 0.¯¯¯¯¯¯32+0.¯¯¯3 is equal to

The cost of constructing a wall 8 m long, 4 m high and 10 cm thick at the rate of Rs. 25 per m3 is(a) Rs. 16(b) Rs. 80(c) Rs. 160(d) Rs. 320

The area of the square inscribed in a semicircle is 2 cm2 . If the semi-circle is extended to a full circle, the area of the square inscribed in this circle is

Which one of the following function is analytic in the region |Z|≤1?

How to plot irrational no. on number line like pie

​If f(x) = sin x, then f'-π4 = ____________________.

The mean of 40 numbers was found to be 38. Later on, it was detected that a number 56 was misread as 36 . Find the correct mean of the ( data ) given no's

If (x,y) are the coordinates of any point P, at the same time if (x,y) = (y,x), which of following options must hold true?

S1 : Sum of 5 consecutive odd numbersS2 : Sum of 4 consecutive even numbersSum of twice of S1 and thrice of S2 is 178. Also, the sum of thrice of S1 and twice of S2 is 177.If all the 9 numbers are arranged in ascending order, then find the sum of the smallest and largest number.

(a+b+c)2–(ab+bc+ca)= __________

Question 15Coefficient of y in the term −y3 isa) −1b) −3c) −13d) 13

If x = 1/2-\surd3,then find the value of x^3-2x^2-7x+5

Question 142 Fill in the blank to make the statement true. Two numbers having only 1 as a common factor, are called ....... numbers.

If the radius and slant height of a cone are in the ratio 7 : 13 and its curved surface area is 286 cm2, find its radius.

The median class for the following data is MarksBelow 10Below 20Below 30Below 40Below 50No. of students 510233140

Find the sum of first 30 terms of an A.P. whose second term is 2 and seventh term is 22.

If a=2+1, then find the value of a-1a.

Out of the following fractions which is the smallest and which is the greatest? 12,63,35,32,34

What is the probability that there are 53 Sundays in a leap year?

If the point (2, 5) lies on the graph of 3y = ax + 7, then find the value of a. __

The probability of a certain event is(a) 0(b) 1(c) greater than 1(d) less than 0

Which of the given less than cumulative frequency curve (ogive) correctly represents the following distribution? Height110−120120−130130−140140−150150−160Number of students 7 9 12 10 4

In the figure, if ∠OAB=40∘, ∠ACB is equal to

Question 10M is a point on side BC of a triangle ABC such that AM is the bisector of ∠BAC. Is it true to say that perimeter of the triangle is greater than 2AM? Give reason for your answer.

In Indus Valley Civilisation (about BC 3000), the bricks used for construction work were having dimensions in the ratio of(a) 5 : 3 : 2(b) 4 : 2 : 1(c) 4 : 3 : 2(d) 6 : 4 : 2

"There is more than one way of constructing an angle of 135∘ using angular bisectors and perpendicular bisectors." Justify this statement.

How to convert 0.0032 in p/q form, where p and q are co-prime and q≠0?

In the figure, lines AB and CD are parallel and P is any point as shown in the figure. Show that ∠ABP+∠CDP=∠DPB.

f three coins are tossed at a time, then the probability that tail will appear on all the coins is

A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?

Question 3(iii)Factorise the expressions2x3+2xy2+2xz2

A histogram is a pictorial representation of the grouped data in which class intervals and frequency are respectively taken along(a) vertical axis and horizontal axis(b) vertical axis only(c) horizontal axis only(d) Horizontal axis and vertical axis

If x4+1/x4=119,find the value of x3-1/x3

What must be added to x3 − 3x2 − 12x + 19 so that the result is exactly divisibly by x2 + x - 6 ?

Find the most demanded shirt size. Shirtsize3839404142Numbersold6073899023

is a terminating decimal.

A trapezium can be constructed by

If f(x) = sin x, then f'-π4 = ____________________.