24740 + Interview Questions in Mathematics Page 6 InterviewSolution

251.	21.: A uniform metal ring with centre C has 2 points A and B are maintained at two different constant temperatures. The angle ACB is θ. If it is known that θ= 180^°, the rate of total heat flow from A to B is 1.2W. When= 90^°, this rate will bs 1. 0.6W 2. 0.9W 3. 1.6W 4. 1.8W
Answer» 21.: A uniform metal ring with centre C has 2 points A and B are maintained at two different constant temperatures. The angle ACB is θ. If it is known that θ= 180^°, the rate of total heat flow from A to B is 1.2W. When= 90^°, this rate will bs 1. 0.6W 2. 0.9W 3. 1.6W 4. 1.8W

Discussion

252.	Factorise:-x^2 + √3x–6
Answer» Factorise:- x^2 + √3x–6

Discussion

253.	A triangle and a parallelogram are on the same base and between the same parallels. The ratio of the areas of triangles and parallelogram is
Answer» A triangle and a parallelogram are on the same base and between the same parallels. The ratio of the areas of triangles and parallelogram is

Discussion

254.	Find the value of tan of 82 1/2 degree?
Answer» Find the value of tan of 82 1/2 degree?

Discussion

255.	In the figure, OP, OQ, OR and OS are four rays. Prove that: ∠POQ+∠QOR+∠SOR+∠POS=360∘
Answer» In the figure, OP, OQ, OR and OS are four rays. Prove that: $∠ P O Q + ∠ Q O R + ∠ S O R + ∠ P O S = 360^{\circ}$

255.

In the figure, OP, OQ, OR and OS are four rays. Prove that: ∠POQ+∠QOR+∠SOR+∠POS=360∘

Answer»

In the figure, OP, OQ, OR and OS are four rays.
Prove that: $∠ P O Q + ∠ Q O R + ∠ S O R + ∠ P O S = 360^{\circ}$

Discussion

256.	If the sum of the zeroes, product of the zeroes and the sum of the coefficients of the polynomial f(x)=ax^2+bx+c are equal, and the sum of coefficients is 2, then find a.
Answer» If the sum of the zeroes, product of the zeroes and the sum of the coefficients of the polynomial f(x)=ax^2+bx+c are equal, and the sum of coefficients is 2, then find a.

Discussion

257.	The number of surfaces in right cylinder is(a) 1(b) 2(c) 3(d) 4
Answer» The number of surfaces in right cylinder is (a) 1 (b) 2 (c) 3 (d) 4

Discussion

258.	If the class Mark in a frequency distribution are 2.03,2.23,2.43,2.63,2.83,3.03,and 3.23 determine class size and boundaries
Answer» If the class Mark in a frequency distribution are 2.03,2.23,2.43,2.63,2.83,3.03,and 3.23 determine class size and boundaries

Discussion

259.	If a triangle and a parallelogram are on the same base and between the same parallels, then:
Answer» If a triangle and a parallelogram are on the same base and between the same parallels, then:

Discussion

260.	In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively (see the given figure). Show that the line segments AF and EC trisect the diagonal BD.
Answer» In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively (see the given figure). Show that the line segments AF and EC trisect the diagonal BD.

Discussion

261.	What is the sum of all the exterior angles of a triangle?
Answer» What is the sum of all the exterior angles of a triangle?

Discussion

262.	Question 3 (iii)Form the pair of linear equations for the following problems and find their solution by substitution method:The coach of a cricket team buys 7 bats and 6 balls for Rs 3800. Later, she buys 3 bats and 5 balls for Rs 1750. Find the cost of each bat and each ball.
Answer» Question 3 (iii) Form the pair of linear equations for the following problems and find their solution by substitution method: The coach of a cricket team buys 7 bats and 6 balls for Rs 3800. Later, she buys 3 bats and 5 balls for Rs 1750. Find the cost of each bat and each ball.

Discussion

263.	The diagonals of a quadrilateral are 16 cm and 20 cm. If they intersect each other at right angles, then its area is _____ sq cm.
Answer» The diagonals of a quadrilateral are 16 cm and 20 cm. If they intersect each other at right angles, then its area is _____ sq cm.

Discussion

264.	ABCD is a square of side 14 cm with centers at A, B, C and D. Four circles are drawn in such a way that each circle touches externally two of the remaining three circles as shown below: What is the area of the darker shaded region?
Answer» ABCD is a square of side 14 cm with centers at A, B, C and D. Four circles are drawn in such a way that each circle touches externally two of the remaining three circles as shown below: What is the area of the darker shaded region?

Discussion

265.	If √7=2.646 then 1√7 = ? (a) 0.375 (b) 0.378 (c) 0.441 (d) None of these
Answer» If $\sqrt{7} = 2.646$ then $\frac{1}{\sqrt{7}}$ = ? (a) 0.375 (b) 0.378 (c) 0.441 (d) None of these

265.

If √7=2.646 then 1√7 = ? (a) 0.375 (b) 0.378 (c) 0.441 (d) None of these

Answer»

If $\sqrt{7} = 2.646$ then $\frac{1}{\sqrt{7}}$ = ?

(a) 0.375

(b) 0.378

(c) 0.441

(d) None of these

Discussion

266.	Factorise 4a squared - 8abc
Answer» Factorise 4a squared - 8abc

Discussion

267.	In a quadrilateral ABCD, ∠A=90∘,∠B=3x,∠C=3x+5,∠D=8x−15. Then the value of ∠D is
Answer» In a quadrilateral ABCD, $∠ A = 90^{\circ}, ∠ B = 3 x, ∠ C = 3 x + 5, ∠ D = 8 x - 15$ . Then the value of $∠ D$ is

Discussion

268.	how to relate omega to theta in a plane angle
Answer» how to relate omega to theta in a plane angle

Discussion

269.	The mean of the following distribution is ____. xi10131619fi2576
Answer» The mean of the following distribution is ____. $\begin{matrix} x_{i} & 10 & 13 & 16 & 19 f_{i} & 2 & 5 & 7 & 6 \end{matrix}$

269.

The mean of the following distribution is ____. xi10131619fi2576

Answer»

The mean of the following distribution is ____.

$\begin{matrix} x_{i} & 10 & 13 & 16 & 19 f_{i} & 2 & 5 & 7 & 6 \end{matrix}$

Discussion

270.	In a cyclic-quadrilateral PQRS, angle PQR=135∘. Sides SP and RQ produced meet at point A : whereas sides PQ and SR produced meet at point B. If ∠A : ∠B=2 :1; find angles A and B.
Answer» In a cyclic-quadrilateral PQRS, angle $P Q R = 135^{\circ} .$ Sides SP and RQ produced meet at point A : whereas sides PQ and SR produced meet at point B. If $∠ A : ∠ B = 2 : 1;$ find angles A and B.

270.

In a cyclic-quadrilateral PQRS, angle PQR=135∘. Sides SP and RQ produced meet at point A : whereas sides PQ and SR produced meet at point B. If ∠A : ∠B=2 :1; find angles A and B.

Answer»

In a cyclic-quadrilateral PQRS, angle $P Q R = 135^{\circ} .$ Sides SP and RQ produced meet at point A : whereas sides PQ and SR produced meet at point B.

If $∠ A : ∠ B = 2 : 1;$ find angles A and B.

Discussion

271.	Question 9 7x -9 =16
Answer» Question 9 7x -9 =16

Discussion

272.	Jasmine has a bag of sweets, which has 3 yellow sweets, 5 green sweets, 7 red sweets, 4 purple sweets and 1 black sweets. If Jasmine takes out one sweet, find the colour of the sweet which has 14 probability.
Answer» Jasmine has a bag of sweets, which has 3 yellow sweets, 5 green sweets, 7 red sweets, 4 purple sweets and 1 black sweets. If Jasmine takes out one sweet, find the colour of the sweet which has $\frac{1}{4}$ probability.

Discussion

273.	In the given figure, the input shapes are being transformed by the functions P and Q. Use the diagram to determine the effect of each of these functions and then apply them to the input shape in the question to arrive at the correct option.
Answer» In the given figure, the input shapes are being transformed by the functions P and Q. Use the diagram to determine the effect of each of these functions and then apply them to the input shape in the question to arrive at the correct option.

Discussion

274.	Insert 5 rational numbers between 13 and 59.
Answer» Insert 5 rational numbers between $\frac{1}{3}$ and $\frac{5}{9}$ .

Discussion

275.	The length of one of the diagonals of a rhombus is equal to the length of one of the its sides. Find the angles of the rhombus.
Answer» The length of one of the diagonals of a rhombus is equal to the length of one of the its sides. Find the angles of the rhombus.

Discussion

276.	The length, breadth and height of a cuboid are in the ratio 2 : 3 :2\sqrt3 Then, the ratio of diagonal to height of the cuboid is
Answer» The length, breadth and height of a cuboid are in the ratio 2 : 3 :2\sqrt3 Then, the ratio of diagonal to height of the cuboid is

Discussion

277.	Check which of the following are solutions of the equations 2x − y = 6 and which are not:(i) (3,0)(ii) (0,6)(iii) (2, −2)(iv) 3, 0(v) 12, -5
Answer» Check which of the following are solutions of the equations 2x − y = 6 and which are not: (i) (3,0) (ii) (0,6) (iii) (2, −2) (iv) $(\sqrt{3}, 0)$ (v) $(\frac{1}{2}, - 5)$

Discussion

278.	Question 1(d) Evaluate the following (- 49) ÷ (49)
Answer» Question 1(d) Evaluate the following (- 49) $\div$ (49)

Discussion

279.	8.Can sum of two irrational numbers be rational and rational be irrational?
Answer» 8.Can sum of two irrational numbers be rational and rational be irrational?

Discussion

280.	The degree of a non-zero constant polynomial is
Answer» The degree of a non-zero constant polynomial is

Discussion

281.	A coin is tossed 100 times and head is obtained 59 times. The probability of getting a tail is(a) 59100 (b) 41100 (c) 29100 (d) 43100
Answer» A coin is tossed 100 times and head is obtained 59 times. The probability of getting a tail is (a) $\frac{59}{100}$ (b) $\frac{41}{100}$ (c) $\frac{29}{100}$ (d) $\frac{43}{100}$

Discussion

282.	If an angle is 30° more than one half of its complement, find the measure of the angle.
Answer» If an angle is 30° more than one half of its complement, find the measure of the angle.

Discussion

283.	∑fx=5x+2,∑f=12. If the mean of the distribution is 6, what is the value of x?
Answer» $\sum f x = 5 x + 2, \sum f = 12$ . If the mean of the distribution is 6, what is the value of x?

Discussion

284.	Draw a number line of 9.3
Answer» Draw a number line of 9.3

Discussion

285.	For any two sets A & B;A∩B=
Answer» For any two sets $A & B; A \cap B =$

Discussion

286.	Find all polynomials P(x) with real coefficients such that (x-8)P(2x)=8(x-1)P(x) .
Answer» Find all polynomials P(x) with real coefficients such that (x-8)P(2x)=8(x-1)P(x) .

Discussion

287.	Prove that two different circles cannot intersect each other at more than two points.
Answer» Prove that two different circles cannot intersect each other at more than two points.

Discussion

288.	Draw an angle of measure 153∘ and divide it into four equal parts.
Answer» Draw an angle of measure $153^{\circ}$ and divide it into four equal parts.

Discussion

289.	Factorise: 3−5x+5y−12(x−y)2
Answer» Factorise: $3 - 5 x + 5 y - 12 (x - y)^{2}$

289.

Factorise: 3−5x+5y−12(x−y)2

Answer»

Factorise:

$3 - 5 x + 5 y - 12 (x - y)^{2}$

Discussion

290.	THE MINIMUM VALUE OF 3^(X^2-2)^5+32
Answer» THE MINIMUM VALUE OF 3^(X^2-2)^5+32

Discussion

291.	Find the ratio in which the line segment joining points (-3, 10) and (6, - 8) is divided by (-1, 6).
Answer» Find the ratio in which the line segment joining points (-3, 10) and (6, - 8) is divided by (-1, 6).

Discussion

292.	In a quadrilateral ABCD, AB=5 cm, BC=6cm, CD=7cm, DA=6cm and AC=7cm, then BD can be1)4 2)5 3)6 4)3
Answer» In a quadrilateral ABCD, AB=5 cm, BC=6cm, CD=7cm, DA=6cm and AC=7cm, then BD can be 1)4 2)5 3)6 4)3

Discussion

293.	The volume of a cube whose surface area is 384 cm2, is __________.
Answer» The volume of a cube whose surface area is 384 cm², is __________.

Discussion

294.	Solve:(a/ax-1)+(b/bx-1)=a+b
Answer» Solve:(a/ax-1)+(b/bx-1)=a+b

Discussion

295.	Angle pqr equal angle prq then prove that angle pqs equal angle prt
Answer» Angle pqr equal angle prq then prove that angle pqs equal angle prt

Discussion

296.	Peter's father gifted 24 mint candies to Peter on his birthday. Later, his mother gifted him 57 butterscotch candies. How many candies he has in total ?
Answer» Peter's father gifted $24$ mint candies to Peter on his birthday. Later, his mother gifted him $57$ butterscotch candies. How many candies he has in total ?

Discussion

297.	ABCD is a trapezium in which AB \|\| DC. M and N are the mid-points of AD and the respectively. If AB = 12 cm, MN = 14 cm, then CD =(a) 10 cm(b) 12 cm(c) 14 cm(d) 16 cm
Answer» ABCD is a trapezium in which AB \|\| DC. M and N are the mid-points of AD and the respectively. If AB = 12 cm, MN = 14 cm, then CD = (a) 10 cm (b) 12 cm (c) 14 cm (d) 16 cm

Discussion

298.	Let f(x) = 1+2cos x +3sin x. If af(x) +bf(x-c) =1 where a, b, c holds for all x belonging to R. Then (b*cos c) /a is equal to,
Answer» Let f(x) = 1+2cos x +3sin x. If af(x) +bf(x-c) =1 where a, b, c holds for all x belonging to R. Then (b*cos c) /a is equal to,

Discussion

299.	If P={P:P is letter in the word "PERMANENT"}. Then n(P) ___.
Answer» If $P = {P : P i s l e t t e r i n t h e w o r d " P E R M A N E N T "}$ . Then n(P) ___.

Discussion

300.

The percentage of attendance of different classes in a year in a school is given below: Class: X IX VIII VII VI V Attendance: 30 62 85 92 76 55 What is the probability that the class attendance is more than 75%?(a) 16(b) 13(c) 56(d) 12

Answer» The percentage of attendance of different classes in a year in a school is given below:

Class:	X	IX	VIII	VII	VI	V
Attendance:	30	62	85	92	76	55

What is the probability that the class attendance is more than 75%?

(a)

\frac{1}{6}

(b)

\frac{1}{3}

(c)

\frac{5}{6}

(d)

\frac{1}{2}

Discussion

Explore topic-wise InterviewSolutions in .

21.: A uniform metal ring with centre C has 2 points A and B are maintained at two different constant temperatures. The angle ACB is θ. If it is known that θ= 180^°, the rate of total heat flow from A to B is 1.2W. When= 90^°, this rate will bs 1. 0.6W 2. 0.9W 3. 1.6W 4. 1.8W

Factorise:-x^2 + √3x–6

A triangle and a parallelogram are on the same base and between the same parallels. The ratio of the areas of triangles and parallelogram is

Find the value of tan of 82 1/2 degree?

In the figure, OP, OQ, OR and OS are four rays. Prove that: ∠POQ+∠QOR+∠SOR+∠POS=360∘

If the sum of the zeroes, product of the zeroes and the sum of the coefficients of the polynomial f(x)=ax^2+bx+c are equal, and the sum of coefficients is 2, then find a.

The number of surfaces in right cylinder is(a) 1(b) 2(c) 3(d) 4

If the class Mark in a frequency distribution are 2.03,2.23,2.43,2.63,2.83,3.03,and 3.23 determine class size and boundaries

If a triangle and a parallelogram are on the same base and between the same parallels, then:

In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively (see the given figure). Show that the line segments AF and EC trisect the diagonal BD.

What is the sum of all the exterior angles of a triangle?

Question 3 (iii)Form the pair of linear equations for the following problems and find their solution by substitution method:The coach of a cricket team buys 7 bats and 6 balls for Rs 3800. Later, she buys 3 bats and 5 balls for Rs 1750. Find the cost of each bat and each ball.

The diagonals of a quadrilateral are 16 cm and 20 cm. If they intersect each other at right angles, then its area is _____ sq cm.

ABCD is a square of side 14 cm with centers at A, B, C and D. Four circles are drawn in such a way that each circle touches externally two of the remaining three circles as shown below: What is the area of the darker shaded region?

If √7=2.646 then 1√7 = ? (a) 0.375 (b) 0.378 (c) 0.441 (d) None of these

Factorise 4a squared - 8abc

In a quadrilateral ABCD, ∠A=90∘,∠B=3x,∠C=3x+5,∠D=8x−15. Then the value of ∠D is

how to relate omega to theta in a plane angle

The mean of the following distribution is ____. xi10131619fi2576

In a cyclic-quadrilateral PQRS, angle PQR=135∘. Sides SP and RQ produced meet at point A : whereas sides PQ and SR produced meet at point B. If ∠A : ∠B=2 :1; find angles A and B.

Question 9 7x -9 =16

Jasmine has a bag of sweets, which has 3 yellow sweets, 5 green sweets, 7 red sweets, 4 purple sweets and 1 black sweets. If Jasmine takes out one sweet, find the colour of the sweet which has 14 probability.

In the given figure, the input shapes are being transformed by the functions P and Q. Use the diagram to determine the effect of each of these functions and then apply them to the input shape in the question to arrive at the correct option.

Insert 5 rational numbers between 13 and 59.

The length of one of the diagonals of a rhombus is equal to the length of one of the its sides. Find the angles of the rhombus.

The length, breadth and height of a cuboid are in the ratio 2 : 3 :2\sqrt3 Then, the ratio of diagonal to height of the cuboid is

Check which of the following are solutions of the equations 2x − y = 6 and which are not:(i) (3,0)(ii) (0,6)(iii) (2, −2)(iv) 3, 0(v) 12, -5

Question 1(d) Evaluate the following (- 49) ÷ (49)

8.Can sum of two irrational numbers be rational and rational be irrational?

The degree of a non-zero constant polynomial is

A coin is tossed 100 times and head is obtained 59 times. The probability of getting a tail is(a) 59100 (b) 41100 (c) 29100 (d) 43100

If an angle is 30° more than one half of its complement, find the measure of the angle.

∑fx=5x+2,∑f=12. If the mean of the distribution is 6, what is the value of x?

Draw a number line of 9.3

For any two sets A &amp; B;A∩B=

Find all polynomials P(x) with real coefficients such that (x-8)P(2x)=8(x-1)P(x) .

Prove that two different circles cannot intersect each other at more than two points.

Draw an angle of measure 153∘ and divide it into four equal parts.

Factorise: 3−5x+5y−12(x−y)2

THE MINIMUM VALUE OF 3^(X^2-2)^5+32

Find the ratio in which the line segment joining points (-3, 10) and (6, - 8) is divided by (-1, 6).

In a quadrilateral ABCD, AB=5 cm, BC=6cm, CD=7cm, DA=6cm and AC=7cm, then BD can be1)4 2)5 3)6 4)3

The volume of a cube whose surface area is 384 cm2, is __________.

Solve:(a/ax-1)+(b/bx-1)=a+b

Angle pqr equal angle prq then prove that angle pqs equal angle prt

Peter's father gifted 24 mint candies to Peter on his birthday. Later, his mother gifted him 57 butterscotch candies. How many candies he has in total ?

ABCD is a trapezium in which AB || DC. M and N are the mid-points of AD and the respectively. If AB = 12 cm, MN = 14 cm, then CD =(a) 10 cm(b) 12 cm(c) 14 cm(d) 16 cm

Let f(x) = 1+2cos x +3sin x. If a*f(x) +b*f(x-c) =1 where a, b, c holds for all x belonging to R. Then (b*cos c) /a is equal to,

If P={P:P is letter in the word "PERMANENT"}. Then n(P) ___.

The percentage of attendance of different classes in a year in a school is given below: Class: X IX VIII VII VI V Attendance: 30 62 85 92 76 55 What is the probability that the class attendance is more than 75%?(a) 16(b) 13(c) 56(d) 12

For any two sets A & B;A∩B=

Let f(x) = 1+2cos x +3sin x. If af(x) +bf(x-c) =1 where a, b, c holds for all x belonging to R. Then (b*cos c) /a is equal to,