24740 + Interview Questions in Mathematics Page 75 InterviewSolution

3701.	Construct the following angles and verify by measuring them by a protractor:(i) 75° (ii) 105° (iii) 135°
Answer» Construct the following angles and verify by measuring them by a protractor: (i) 75° (ii) 105° (iii) 135°

3701.

Construct the following angles and verify by measuring them by a protractor:(i) 75° (ii) 105° (iii) 135°

Answer»

Construct the following angles and verify by measuring them by a protractor:

(i) 75° (ii) 105° (iii) 135°

3702.	A boy wants to ride in a swing. The fare of the first five rides is ₹50 and for subsequent ride, it is ₹7 per ride. If the boy completes x rides of the swing and pays ₹y, then a linear equation for this information can be written as
Answer» A boy wants to ride in a swing. The fare of the first five rides is $₹ 50$ and for subsequent ride, it is $₹ 7$ per ride. If the boy completes x rides of the swing and pays $₹ y$ , then a linear equation for this information can be written as

Discussion

3703.	The line 3y + 2 = 0 is
Answer» The line 3y + 2 = 0 is

Discussion

3704.	Let S be the standard deviation of n observations. Each of the n observations is multiplied by a constant C. Then the standard deviation of the resulting number is
Answer» Let $S$ be the standard deviation of $n$ observations. Each of the $n$ observations is multiplied by a constant $C$ . Then the standard deviation of the resulting number is

Discussion

3705.	Solve the linear equation for 'x': 2x−35+x+34=2x+34
Answer» Solve the linear equation for ' $x$ ': $\frac{2 x - 3}{5} + \frac{x + 3}{4} = \frac{2 x + 3}{4}$

Discussion

3706.	Find the surface area of a sphere of radius:(i) 10.5 cm (ii) 5.6 cm (iii) 14 cm
Answer» Find the surface area of a sphere of radius: (i) 10.5 cm (ii) 5.6 cm (iii) 14 cm

3706.

Find the surface area of a sphere of radius:(i) 10.5 cm (ii) 5.6 cm (iii) 14 cm

Answer»

Find the surface area of a sphere of radius:

(i) 10.5 cm (ii) 5.6 cm (iii) 14 cm

Discussion

3707.	Two coins are tossed simultaneously. The probability of getting atmost one head is(a) 14(b) 34(c) 12(d) 14
Answer» Two coins are tossed simultaneously. The probability of getting atmost one head is (a) $\frac{1}{4}$ (b) $\frac{3}{4}$ (c) $\frac{1}{2}$ (d) $\frac{1}{4}$

Discussion

3708.	Check whether the value given in the brackets is a solution to the given equation or not:7n + 5 = 19(n = -2)
Answer» Check whether the value given in the brackets is a solution to the given equation or not: 7n + 5 = 19(n = -2)

Discussion

3709.	The height and radius of a right cone are 30 m and 7 m respectively. Find the volume of the cone(in m3) is
Answer» The height and radius of a right cone are 30 m and 7 m respectively. Find the volume of the cone(in $m^{3}$ ) is

Discussion

3710.	In the given figure, E is any point on median AD of a ΔABC. What is ar (ABE) ?
Answer» In the given figure, E is any point on median AD of a ΔABC. What is ar (ABE) ?

3710.

In the given figure, E is any point on median AD of a ΔABC. What is ar (ABE) ?

Answer»

In the given figure, E is any point on median AD of a ΔABC. What is ar (ABE) ?

Discussion

3711.	Prove that 1√2 is irrational.
Answer» Prove that $\frac{1}{\sqrt{2}}$ is irrational.

Discussion

3712.	log5 a.logax=2, then x is equal to
Answer» $l o g_{5} a . l o g_{a} x = 2$ , then $x$ is equal to

Discussion

3713.	Solve the following by method of substitution , elimination and cross multiplication ⅔ x + ¾ y = 7 ; ¾ x - ⅔ y =7
Answer» Solve the following by method of substitution , elimination and cross multiplication ⅔ x + ¾ y = 7 ; ¾ x - ⅔ y =7

Discussion

3714.	The measure of each interior angle of a regular hexagen is
Answer» The measure of each interior angle of a regular hexagen is

Discussion

3715.	There are 28 variety of cars available for racing.On rounding off to the nearest tens, the number will be __ 30
Answer» There are 28 variety of cars available for racing. On rounding off to the nearest tens, the number will be __ 30

Discussion

3716.	214. 418. 8116. 16132................ is equal to
Answer» $2^{\frac{1}{4}}$ . $4^{\frac{1}{8}}$ . $8^{\frac{1}{16}}$ . $16^{\frac{1}{32}}$ ................ is equal to

Discussion

3717.	√2x-√3y-9=0 Is a linear equation or not If yes how
Answer» √2x-√3y-9=0 Is a linear equation or not If yes how

Discussion

3718.	Question 49 In the following question, fill in the blanks to make the statements true. The usual form of 2.39461×106 is ___
Answer» Question 49 In the following question, fill in the blanks to make the statements true. The usual form of $2.39461 \times 10^{6}$ is ___

3718.

Question 49 In the following question, fill in the blanks to make the statements true. The usual form of 2.39461×106 is ___

Answer»

Question 49

In the following question, fill in the blanks to make the statements true.

The usual form of $2.39461 \times 10^{6}$ is ___

Discussion

3719.	a block is tied to one end of light sting of length L whose one end is fixed to rigid suppot the block is given the speed of \sqrt{7gL/2} from the lower most portion. Find the height block will leave the circle
Answer» a block is tied to one end of light sting of length L whose one end is fixed to rigid suppot the block is given the speed of \sqrt{7gL/2} from the lower most portion. Find the height block will leave the circle

Discussion

3720.	1. Is this a linear equation or not -x(x+3)=x*x+9
Answer» 1. Is this a linear equation or not -x(x+3)=x*x+9

Discussion

3721.	Factorize 27x3−y3−z3−9xyz
Answer» Factorize $27 x^{3} - y^{3} - z^{3} - 9 x y z$

Discussion

3722.	What is the maximum length of a pencil that can be placed in a rectangular box of dimensions (8 cm×6 cm×5cm)?(Given √5=2.24.)(a) 8 cm (b) 9.5 cm (c) 19 cm (d) 11.2 cm
Answer» $What is the maximum length of a pencil that can be placed in a rectangular box of dimensions (8 c m \times 6 c m \times 5 c m) ? (G i v e n \sqrt{5} = 2.24.) (a) 8 c m (b) 9.5 c m (c) 19 c m (d) 11.2 c m$

Discussion

3723.	In this figure, triangle ABC is right - angled at B. Given that AB = 9 cm, AC = 15 cm and D and E are the mid-points of the sides AB and AC respectively, calculate the area of ΔADE.
Answer» In this figure, triangle ABC is right - angled at B. Given that AB = 9 cm, AC = 15 cm and D and E are the mid-points of the sides AB and AC respectively, calculate the area of $Δ A D E$ .

Discussion

3724.	If a < 2b < 3a, the median and mean of a, b and 3a are 42 and 38 respectively. Then, the mean of a/2 and b/2 is
Answer» If a < 2b < 3a, the median and mean of a, b and 3a are 42 and 38 respectively. Then, the mean of a/2 and b/2 is

Discussion

3725.	Question 98Pattern B consists of four tiles like pattern A. Write a proportion involving red dots and transparent dots in pattern A and B. Are they in direct proportion? If yes, write the constant of proportion.
Answer» Question 98 Pattern B consists of four tiles like pattern A. Write a proportion involving red dots and transparent dots in pattern A and B. Are they in direct proportion? If yes, write the constant of proportion.

3725.

Question 98Pattern B consists of four tiles like pattern A. Write a proportion involving red dots and transparent dots in pattern A and B. Are they in direct proportion? If yes, write the constant of proportion.

Answer»

Question 98

Pattern B consists of four tiles like pattern A. Write a proportion involving red dots and transparent dots in pattern A and B. Are they in direct proportion? If yes, write the constant of proportion.

Discussion

3726.	If the coordinates of foci and vertices of an ellipse are (±1, 0) and (±2, 0) respectively, then the minor axis is of length ___________.
Answer» If the coordinates of foci and vertices of an ellipse are (±1, 0) and (±2, 0) respectively, then the minor axis is of length ___________.

Discussion

3727.	Degree of the polynomial 0x2
Answer» Degree of the polynomial 0x²

Discussion

3728.	Half of the total number in an ordered set have values less than the P–– and values greater than the Q––. Choose the correct condition from the following.
Answer» Half of the total number in an ordered set have values less than the $P - -$ and values greater than the $Q - -$ . Choose the correct condition from the following.

Discussion

3729.	Consider the following two polynomials:P(x) = 5/6+3/4x^2+1/2x^4q(x) = 5 + 3x^3 + 7x^6In the product of these polynomials, the sum of the coefficients of x^7, x^6, x^5 and x^4 lies between what?
Answer» Consider the following two polynomials: P(x) = 5/6+3/4x^2+1/2x^4 q(x) = 5 + 3x^3 + 7x^6 In the product of these polynomials, the sum of the coefficients of x^7, x^6, x^5 and x^4 lies between what?

Discussion

3730.	Solve the following equations:2y+52=372
Answer» Solve the following equations: $2 y + \frac{5}{2} = \frac{37}{2}$

Discussion

3731.	The derivative of cos x with respect to sin x is __________________.
Answer» The derivative of cos x with respect to sin x is __________________.

Discussion

3732.	25. A person rowing at the rate of 5 km/hr in still water, takes thrice as much time in going 40 km upstream as in going 40 km downstream. Find the speed of the stream.
Answer» 25. A person rowing at the rate of 5 km/hr in still water, takes thrice as much time in going 40 km upstream as in going 40 km downstream. Find the speed of the stream.

Discussion

3733.	In Fig. 70, if AB \|\| CD, then the values of x and y are(a) x = 24, y = 48(b) x = 34, y = 68(c) x = 24, y = 68(d) x = 34, y = 48
Answer» In Fig. 70, if AB \|\| CD, then the values of x and y are (a) x = 24, y = 48 (b) x = 34, y = 68 (c) x = 24, y = 68 (d) x = 34, y = 48

Discussion

3734.	3.27 is(a) an integer(b) a rational number(c) a natural number(d) an irrational number
Answer» $3.27$ is (a) an integer (b) a rational number (c) a natural number (d) an irrational number

Discussion

3735.	Help I very weak in mathematics specialy in number and also numeral problem in physics van I have a advice from you.???
Answer» Help I very weak in mathematics specialy in number and also numeral problem in physics van I have a advice from you.???

Discussion

3736.	If A,B,C are three angles of triangle. If A -B=15. B-C=30. Find A , B, C.
Answer» If A,B,C are three angles of triangle. If A -B=15. B-C=30. Find A , B, C.

Discussion

3737.	What is a segment?
Answer» What is a segment?

Discussion

3738.	Question 6Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.
Answer» Question 6 Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.

Discussion

3739.	In an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes.
Answer» In an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes.

Discussion

3740.	The perimeter of a parallelogram is 32cm. If longer side measure 9.5cm, what is the measure of the shorter side.
Answer» The perimeter of a parallelogram is 32cm. If longer side measure 9.5cm, what is the measure of the shorter side.

Discussion

3741.	Let →a=^i−^j, →b=→j−^k, →c=^k−^i. If →d is a unit vector such that →a.→d=0=[→b →c →d], then →d equals
Answer» Let $\to a =^i -^j, \to b = \to j -^k, \to c =^k -^i . I f \to d$ is a unit vector such that $\to a . \to d = 0 = [\to b \to c \to d],$ then $\to d$ equals

Discussion

3742.	Note Use π=227, unless stated otherwise.A cloth having an area of 165 m2 is shaped into the form of a conical tent of radius 5 m. (i) How many students can sit in the tent if a student, on an average, iccupies 57 m2 on the ground? (ii) Find the volume of the cone.
Answer» Note Use $π = \frac{22}{7}$ , unless stated otherwise. A cloth having an area of 165 m² is shaped into the form of a conical tent of radius 5 m. (i) How many students can sit in the tent if a student, on an average, iccupies $\frac{5}{7} m^{2}$ on the ground? (ii) Find the volume of the cone.

Discussion

3743.	P(4 , 0) & Q(5 , 3) lie on circumference of the circle with centre R(k , 2). Find the value of k.
Answer» P(4 , 0) & Q(5 , 3) lie on circumference of the circle with centre R(k , 2). Find the value of k.

Discussion

3744.	A quadrilateral ABCD is drawn in which the mid points of sides AB, BC, CD, and AD are P, Q, R, and S respectively.If quadrilateral ABCD is a rectangle, show that the quadrilateral PQRS is a rhombus.
Answer» A quadrilateral ABCD is drawn in which the mid points of sides AB, BC, CD, and AD are P, Q, R, and S respectively. If quadrilateral ABCD is a rectangle, show that the quadrilateral PQRS is a rhombus.

3744.

A quadrilateral ABCD is drawn in which the mid points of sides AB, BC, CD, and AD are P, Q, R, and S respectively.If quadrilateral ABCD is a rectangle, show that the quadrilateral PQRS is a rhombus.

Answer»

A quadrilateral ABCD is drawn in which the mid points of sides AB, BC, CD, and AD are P, Q, R, and S respectively.

If quadrilateral ABCD is a rectangle, show that the quadrilateral PQRS is a rhombus.

Discussion

3745.	Question 36 A carton of 24 bulbs contains 6 defective bulbs. One bulb is drawn at random. What is the probability that the bulb is not defective? If the bulb selected is defective and it is not replaced and a second bulb is selected at random from the rest, what is the probability that the second bulb is defective?
Answer» Question 36 A carton of 24 bulbs contains 6 defective bulbs. One bulb is drawn at random. What is the probability that the bulb is not defective? If the bulb selected is defective and it is not replaced and a second bulb is selected at random from the rest, what is the probability that the second bulb is defective?

Discussion

3746.	14 Three points (0,0) ,(3,root 3),(3, lamda ) form an equilateral triangle , then lamda is eqial to ?
Answer» 14 Three points (0,0) ,(3,root 3),(3, lamda ) form an equilateral triangle , then lamda is eqial to ?

Discussion

3747.	In the given figure, seg MN is a chord of a circle with centre O. MN = 25, L is a point on chord MN such that ML = 9 and d(O,L) = 5. Find the radius of the circle.
Answer» In the given figure, seg MN is a chord of a circle with centre O. MN = 25, L is a point on chord MN such that ML = 9 and d(O,L) = 5. Find the radius of the circle.

Discussion

3748.	Find the mean of:(i) the first eight natural numbers(ii) the first ten odd numbers(iii) the first seven multiples of 5(iv) all the factors of 20(v) all prime numbers between 50 and 80.
Answer» Find the mean of: (i) the first eight natural numbers (ii) the first ten odd numbers (iii) the first seven multiples of 5 (iv) all the factors of 20 (v) all prime numbers between 50 and 80.

Discussion

3749.	In which of the following ways can four people hold each other's hands to form a quadrilateral?
Answer» In which of the following ways can four people hold each other's hands to form a quadrilateral?

Discussion

3750.	32. Two equal sides of an isosceles triangle are given by the equations 7x-y+3=0 and x+y-3=0&its third side passes through the point (1,-10).Determine the equation of the third line.
Answer» 32. Two equal sides of an isosceles triangle are given by the equations 7x-y+3=0 and x+y-3=0&its third side passes through the point (1,-10).Determine the equation of the third line.

Discussion

Explore topic-wise InterviewSolutions in .

Construct the following angles and verify by measuring them by a protractor:(i) 75° (ii) 105° (iii) 135°

A boy wants to ride in a swing. The fare of the first five rides is ₹50 and for subsequent ride, it is ₹7 per ride. If the boy completes x rides of the swing and pays ₹y, then a linear equation for this information can be written as

The line 3y + 2 = 0 is

Let S be the standard deviation of n observations. Each of the n observations is multiplied by a constant C. Then the standard deviation of the resulting number is

Solve the linear equation for 'x': 2x−35+x+34=2x+34

Find the surface area of a sphere of radius:(i) 10.5 cm (ii) 5.6 cm (iii) 14 cm

Two coins are tossed simultaneously. The probability of getting atmost one head is(a) 14(b) 34(c) 12(d) 14

Check whether the value given in the brackets is a solution to the given equation or not:7n + 5 = 19(n = -2)

The height and radius of a right cone are 30 m and 7 m respectively. Find the volume of the cone(in m3) is

In the given figure, E is any point on median AD of a ΔABC. What is ar (ABE) ?

Prove that 1√2 is irrational.

log5 a.logax=2, then x is equal to

Solve the following by method of substitution , elimination and cross multiplication ⅔ x + ¾ y = 7 ; ¾ x - ⅔ y =7

The measure of each interior angle of a regular hexagen is

There are 28 variety of cars available for racing.On rounding off to the nearest tens, the number will be __ 30

214. 418. 8116. 16132................ is equal to

√2x-√3y-9=0 Is a linear equation or not If yes how

Question 49 In the following question, fill in the blanks to make the statements true. The usual form of 2.39461×106 is ___

a block is tied to one end of light sting of length L whose one end is fixed to rigid suppot the block is given the speed of \sqrt{7gL/2} from the lower most portion. Find the height block will leave the circle

1. Is this a linear equation or not -x(x+3)=x*x+9

Factorize 27x3−y3−z3−9xyz

What is the maximum length of a pencil that can be placed in a rectangular box of dimensions (8 cm×6 cm×5cm)?(Given √5=2.24.)(a) 8 cm (b) 9.5 cm (c) 19 cm (d) 11.2 cm

In this figure, triangle ABC is right - angled at B. Given that AB = 9 cm, AC = 15 cm and D and E are the mid-points of the sides AB and AC respectively, calculate the area of ΔADE.

If a < 2b < 3a, the median and mean of a, b and 3a are 42 and 38 respectively. Then, the mean of a/2 and b/2 is

Question 98Pattern B consists of four tiles like pattern A. Write a proportion involving red dots and transparent dots in pattern A and B. Are they in direct proportion? If yes, write the constant of proportion.

If the coordinates of foci and vertices of an ellipse are (±1, 0) and (±2, 0) respectively, then the minor axis is of length ___________.

Degree of the polynomial 0x2

Half of the total number in an ordered set have values less than the P–– and values greater than the Q––. Choose the correct condition from the following.

Consider the following two polynomials:P(x) = 5/6+3/4x^2+1/2x^4q(x) = 5 + 3x^3 + 7x^6In the product of these polynomials, the sum of the coefficients of x^7, x^6, x^5 and x^4 lies between what?

Solve the following equations:2y+52=372

The derivative of cos x with respect to sin x is __________________.

25. A person rowing at the rate of 5 km/hr in still water, takes thrice as much time in going 40 km upstream as in going 40 km downstream. Find the speed of the stream.

In Fig. 70, if AB || CD, then the values of x and y are(a) x = 24, y = 48(b) x = 34, y = 68(c) x = 24, y = 68(d) x = 34, y = 48

3.27 is(a) an integer(b) a rational number(c) a natural number(d) an irrational number

Help I very weak in mathematics specialy in number and also numeral problem in physics van I have a advice from you.???

If A,B,C are three angles of triangle. If A -B=15. B-C=30. Find A , B, C.

What is a segment?

Question 6Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.

In an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes.

The perimeter of a parallelogram is 32cm. If longer side measure 9.5cm, what is the measure of the shorter side.

Let →a=^i−^j, →b=→j−^k, →c=^k−^i. If →d is a unit vector such that →a.→d=0=[→b →c →d], then →d equals

Note Use π=227, unless stated otherwise.A cloth having an area of 165 m2 is shaped into the form of a conical tent of radius 5 m. (i) How many students can sit in the tent if a student, on an average, iccupies 57 m2 on the ground? (ii) Find the volume of the cone.

P(4 , 0) &amp; Q(5 , 3) lie on circumference of the circle with centre R(k , 2). Find the value of k.

A quadrilateral ABCD is drawn in which the mid points of sides AB, BC, CD, and AD are P, Q, R, and S respectively.If quadrilateral ABCD is a rectangle, show that the quadrilateral PQRS is a rhombus.

14 Three points (0,0) ,(3,root 3),(3, lamda ) form an equilateral triangle , then lamda is eqial to ?

In the given figure, seg MN is a chord of a circle with centre O. MN = 25, L is a point on chord MN such that ML = 9 and d(O,L) = 5. Find the radius of the circle.

Find the mean of:(i) the first eight natural numbers(ii) the first ten odd numbers(iii) the first seven multiples of 5(iv) all the factors of 20(v) all prime numbers between 50 and 80.

In which of the following ways can four people hold each other's hands to form a quadrilateral?

32. Two equal sides of an isosceles triangle are given by the equations 7x-y+3=0 and x+y-3=0&its third side passes through the point (1,-10).Determine the equation of the third line.

P(4 , 0) & Q(5 , 3) lie on circumference of the circle with centre R(k , 2). Find the value of k.