25365 + Interview Questions in Mathematics Page 159 InterviewSolution

7901.	The following pie chart represents the expenses of Jack on various items.Find the ratio of central angle made by the food sector to the clothing sector?
Answer» The following pie chart represents the expenses of Jack on various items. Find the ratio of central angle made by the food sector to the clothing sector?

Discussion

7902.	Explain series and parallel combination of capillaries and derive the formula
Answer» Explain series and parallel combination of capillaries and derive the formula

Discussion

7903.	What is standardization?
Answer» What is standardization?

Discussion

7904.	(0.8a−0.5b) by (1.5a−3b)
Answer» $(0.8 a - 0.5 b) b y (1.5 a - 3 b)$

Discussion

7905.	If A, B, C, D, E are five points in a plane such that AB→+AE→+BC→+DC→+ED→=k AC→, then the value of k is _______________.
Answer» If A, B, C, D, E are five points in a plane such that $\vec{A B} + \vec{A E} + \vec{B C} + \vec{D C} + \vec{E D} = k \vec{A C},$ then the value of k is _______________.

Discussion

7906.	The factorization form of a4+b4–a2b2 is _____________.
Answer» The factorization form of $a^{4} + b^{4} - a^{2} b^{2}$ is _____________.

Discussion

7907.	Find the area of shaded region in the given fig. where ABCD is a square of side 10cm and semi-circles are drawn with each side of square as diameter. [π=3.14] [4 MARKS]
Answer» Find the area of shaded region in the given fig. where ABCD is a square of side 10cm and semi-circles are drawn with each side of square as diameter. [ $π = 3.14$ ] [4 MARKS]

7907.

Find the area of shaded region in the given fig. where ABCD is a square of side 10cm and semi-circles are drawn with each side of square as diameter. [π=3.14] [4 MARKS]

Answer»

Find the area of shaded region in the given fig. where ABCD is a square of side 10cm and semi-circles are drawn with each side of square as diameter. [ $π = 3.14$ ] [4 MARKS]

Discussion

7908.	If the difference between a 3-digit number egf and the number obtained by reversing its digits is divided by 33, then the quotient and remainder respectively will be:
Answer» If the difference between a 3-digit number egf and the number obtained by reversing its digits is divided by 33, then the quotient and remainder respectively will be:

Discussion

7909.	Following is the pictograph of the number of wrist watches manufactured by a factory in a particular week.(a) On which day were the least number of wrist watches manufactured?(b) On which day were the maximum number of wrist watches manufactured?(c) Find out the approximate number of wrist watches manufactured in the particular week?
Answer» Following is the pictograph of the number of wrist watches manufactured by a factory in a particular week. (a) On which day were the least number of wrist watches manufactured? (b) On which day were the maximum number of wrist watches manufactured? (c) Find out the approximate number of wrist watches manufactured in the particular week?

Discussion

7910.	In the given figure, ABCD is a special quadrilateral in which the sum of its opposite internal angles is 180∘. What is the value of ∠FDC, given ∠CBE=130∘?
Answer» In the given figure, ABCD is a special quadrilateral in which the sum of its opposite internal angles is $180^{\circ}$ . What is the value of $∠ F D C$ , given $∠ C B E = 130^{\circ}$ ?

Discussion

7911.	ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠DBC=80∘,∠BAC is 40∘, find ∠BCD in degrees.60
Answer» ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If $∠ D B C = 80^{\circ}, ∠ B A C$ is $40^{\circ},$ find $∠ B C D$ in degrees. 60

Discussion

7912.	Write the axis on which the given point lies.(i) (2, 0)(ii) (0, –5)(iii) (–4, 0)(iv) (0, –1)
Answer» Write the axis on which the given point lies. (i) (2, 0) (ii) (0, –5) (iii) (–4, 0) (iv) (0, –1)

Discussion

7913.	The two arcs of a circle are congruent if thesubtended by them at the center of the circle are equal.
Answer» The two arcs of a circle are congruent if thesubtended by them at the center of the circle are equal.

Discussion

7914.	If the sum of three consecutive integers is 72, then the largest of the three integers is
Answer» If the sum of three consecutive integers is $72$ , then the largest of the three integers is

Discussion

7915.	If X = 8.00\pm0.04 cm and Y = 4.00\pm0.04 cm,then X/Y should be expressed as
Answer» If X = 8.00\pm0.04 cm and Y = 4.00\pm0.04 cm,then X/Y should be expressed as

Discussion

7916.	Find the angle ∠CAE of the given equiangular polygon ABCDE. degree
Answer» Find the angle ∠CAE of the given equiangular polygon ABCDE. degree

Discussion

7917.	Question 2(b)Change the following statement using expressions into statement in ordinary language.(For example, given Salim scores r run in a cricket match, Nalin scores (r + 15) runs. In ordinary language – Nalin scores 15 runs more than Salim.)Tony puts q marbles on the table. He has 8q marbles in his box.
Answer» Question 2(b) Change the following statement using expressions into statement in ordinary language.(For example, given Salim scores r run in a cricket match, Nalin scores (r + 15) runs. In ordinary language – Nalin scores 15 runs more than Salim.) Tony puts q marbles on the table. He has 8q marbles in his box.

7917.

Question 2(b)Change the following statement using expressions into statement in ordinary language.(For example, given Salim scores r run in a cricket match, Nalin scores (r + 15) runs. In ordinary language – Nalin scores 15 runs more than Salim.)Tony puts q marbles on the table. He has 8q marbles in his box.

Answer»

Question 2(b)

Change the following statement using expressions into statement in ordinary language.(For example, given Salim scores r run in a cricket match, Nalin scores (r + 15) runs. In ordinary language – Nalin scores 15 runs more than Salim.)

Tony puts q marbles on the table. He has 8q marbles in his box.

Discussion

7918.	Factorise by grouping method: x2+y2+x+y+2xy
Answer» Factorise by grouping method: $x^{2} + y^{2} + x + y + 2 x y$

7918.

Factorise by grouping method: x2+y2+x+y+2xy

Answer»

Factorise by grouping method:

$x^{2} + y^{2} + x + y + 2 x y$

Discussion

7919.	Question 4 Construct a parallelogram OKAY where OK=5.5 cm and KA=4.2 cm.
Answer» Question 4 Construct a parallelogram OKAY where OK=5.5 cm and KA=4.2 cm.

Discussion

7920.	If a+b+c=9 and ab+bc+ca=23, then find the value of a2+b2+c2.35
Answer» If $a + b + c = 9$ and $a b + b c + c a = 23$ , then find the value of $a^{2} + b^{2} + c^{2}$ . 35

Discussion

7921.	Which bookmark set is correctly arranged as long, longer, and longest?
Answer» Which bookmark set is correctly arranged as long, longer, and longest?

Discussion

7922.	The value of 3√0.1×0.1×0.1×13×13×13
Answer» The value of $\sqrt[3]{0.1 \times 0.1 \times 0.1 \times 13 \times 13 \times 13}$

Discussion

7923.	Question 44State whether the following statement is True or False.A polyhedron with least number of faces is known as a triangular pyramid.
Answer» Question 44 State whether the following statement is True or False. A polyhedron with least number of faces is known as a triangular pyramid.

Discussion

7924.	Factorise : x3−64x
Answer» Factorise : $x^{3} - 64 x$

7924.

Factorise : x3−64x

Answer»

Factorise :

$x^{3} - 64 x$

Discussion

7925.	A car is travelling from city P to city Q, which are 350 km apart. The line graph given below describes the distances of the car from the city P at different times.Study the above graph and answer the questions given below:(i) What information is given on the two axes?(ii) From where and when did the car begin its journey?(iii) How far did the car go in the first hour?(iv) How far did the car go during (a) the 2nd hour and (b) the 3rd hour?(v) Was the speed same during first three hours? How do you know it?(vi) Did the car stop for some during at any place? Justify your answer.(vii) When did the car reach city Q?
Answer» A car is travelling from city P to city Q, which are 350 km apart. The line graph given below describes the distances of the car from the city P at different times. Study the above graph and answer the questions given below: (i) What information is given on the two axes? (ii) From where and when did the car begin its journey? (iii) How far did the car go in the first hour? (iv) How far did the car go during (a) the 2nd hour and (b) the 3rd hour? (v) Was the speed same during first three hours? How do you know it? (vi) Did the car stop for some during at any place? Justify your answer. (vii) When did the car reach city Q?

Discussion

7926.	Check the commutative property of multiplication for the following pairs:
Answer» Check the commutative property of multiplication for the following pairs:

7926.

Check the commutative property of multiplication for the following pairs:

Answer»

Check the commutative property of multiplication for the following pairs:

Discussion

7927.	The Chinese Lunar Calender is based on a 12-year cycle. Each year is named after an animal. The year 2022 is named after the tiger.When will we have the next year of the tiger after 2022?
Answer» The Chinese Lunar Calender is based on a $12$ -year cycle. Each year is named after an animal. The year $2022$ is named after the tiger. When will we have the next year of the tiger after $2022$ ?

Discussion

7928.	Factorise the expressions and divide them as directed5pq(p2−q2)÷2p(p+q)
Answer» Factorise the expressions and divide them as directed $5 p q (p^{2} - q^{2}) \div 2 p (p + q)$

Discussion

7929.	Adidas has manufacturing facilities in 8 cities, 4 factories in each city with 5 shoe manufacturing machines in each of them. If each machine can print 100 shoes daily, how many shoes will be manufactured by Adidas in 1 day?
Answer» Adidas has manufacturing facilities in 8 cities, 4 factories in each city with 5 shoe manufacturing machines in each of them. If each machine can print 100 shoes daily, how many shoes will be manufactured by Adidas in 1 day?

Discussion

7930.	Question 12.Sushma tosses a coin 3 times and gets tail each time. Do you think that the outcome of next toss will be tail ? Give reasons.
Answer» Question 12. Sushma tosses a coin 3 times and gets tail each time. Do you think that the outcome of next toss will be tail ? Give reasons.

Discussion

7931.	Question 106 Solve the following question: What is the least number that should be added to 6200 to make it a perfect square?
Answer» Question 106 Solve the following question: What is the least number that should be added to 6200 to make it a perfect square?

7931.

Question 106 Solve the following question: What is the least number that should be added to 6200 to make it a perfect square?

Answer»

Question 106

Solve the following question:

What is the least number that should be added to 6200 to make it a perfect square?

Discussion

7932.	Question 3Construct the Rhombus BEND whereBN=5.6 cm, DE=6.5 cm
Answer» Question 3 Construct the Rhombus BEND where BN=5.6 cm, DE=6.5 cm

Discussion

7933.	A perpendicular bisector of a given line:
Answer» A perpendicular bisector of a given line:

Discussion

7934.	The following table gives the life times of neon lamps:Length (in hours)Number of lamps300−40014400−50056500−60060600−70086700−80074800−90062900−100048(i) Represent the given information with the help of a histogram.(ii) How many lamps have a life time of more than 700 hours?
Answer» The following table gives the life times of neon lamps: $\begin{matrix} Length (in hours) & Number of lamps 300 - 400 & 14 400 - 500 & 56 500 - 600 & 60 600 - 700 & 86 700 - 800 & 74 800 - 900 & 62 900 - 1000 & 48 \end{matrix}$ (i) Represent the given information with the help of a histogram. (ii) How many lamps have a life time of more than 700 hours?

Discussion

7935.	Sides of a triangle are in the ratio of 12:17:25 and its perimeter is 540cm.Find its area.
Answer» Sides of a triangle are in the ratio of 12:17:25 and its perimeter is 540cm.Find its area.

Discussion

7936.	Question 1 (e) State whether true or false. (e) All kites are rhombuses.
Answer» Question 1 (e) State whether true or false. (e) All kites are rhombuses.

7936.

Question 1 (e) State whether true or false. (e) All kites are rhombuses.

Answer»

Question 1 (e)
State whether true or false.

(e) All kites are rhombuses.

Discussion

7937.	Question 112Solve the followingOn dividing Rs. 200 between A and B, such that twice of A's share is less than 3 times B's share by 200, what is B's share?
Answer» Question 112 Solve the following On dividing Rs. 200 between A and B, such that twice of A's share is less than 3 times B's share by 200, what is B's share?

7937.

Question 112Solve the followingOn dividing Rs. 200 between A and B, such that twice of A's share is less than 3 times B's share by 200, what is B's share?

Answer»

Question 112

Solve the following

On dividing Rs. 200 between A and B, such that twice of A's share is less than 3 times B's share by 200, what is B's share?

Discussion

7938.	Identify the divisor, dividend, quotient and remainder when 47 is divided by 9. Verify the division using the relationship between these. [2 marks]
Answer» Identify the divisor, dividend, quotient and remainder when 47 is divided by 9. Verify the division using the relationship between these. [2 marks]

Discussion

7939.	A quadrilateral has an area of 453.6 m2. The length of a diagonal is 42 m and the perpendicular distance from one vertex to the diagonal is 10 m. The perpendicular distance from the other vertex to the diagonal is ___ .
Answer» A quadrilateral has an area of $453.6 m^{2}$ . The length of a diagonal is 42 m and the perpendicular distance from one vertex to the diagonal is 10 m. The perpendicular distance from the other vertex to the diagonal is ___ .

Discussion

7940.	A streamer goes downstream from one point to another in 7 hours. It covers the same distance upstream in 8 hours. If the speed of the stream is 2 km/hr, find the speed of the streamer in still water.
Answer» A streamer goes downstream from one point to another in 7 hours. It covers the same distance upstream in 8 hours. If the speed of the stream is 2 km/hr, find the speed of the streamer in still water.

Discussion

7941.	Find the value of ‘x’, when 3x=√39.
Answer» Find the value of ‘x’, when $3^{x} = \frac{\sqrt{3}}{9}$ .

Discussion

7942.	List any 5 rational numbers less than 2?
Answer» List any 5 rational numbers less than 2?

Discussion

7943.	If x+1/x=4,then find the value of x^2[x^2+1/x^6]+[x^3+1/x^3].
Answer» If x+1/x=4,then find the value of x^2[x^2+1/x^6]+[x^3+1/x^3].

Discussion

7944.	In an equilateral triangle of side 6 cm each median is drawn from a vertex of the triangle to its opposite side, find the length of the altitude.
Answer» In an equilateral triangle of side 6 cm each median is drawn from a vertex of the triangle to its opposite side, find the length of the altitude.

Discussion

7945.	Alex has 14 chocolate bars and each chocolate bar has 8 squares. He wants to divide them between his 9 cousins equally. Will she be able to divide them fully amongst them? How many square pieces does each get?
Answer» Alex has 14 chocolate bars and each chocolate bar has 8 squares. He wants to divide them between his 9 cousins equally. Will she be able to divide them fully amongst them? How many square pieces does each get?

Discussion

7946.

Journalise the following transactions: 2019 March 5 Sold goods to Shruti for ₹ 80,000 at 15% trade discount and 4% cash discount. Received 75% amount immediately through a cheque. 10 Purchased goods from Richa for ₹ 60,000 at 10% trade discount and 5% cash discount. 60% amount paid by cheque immediately.

Answer» Journalise the following transactions:

2019
March 5		Sold goods to Shruti for ₹ 80,000 at 15% trade discount and 4% cash discount. Received 75% amount immediately through a cheque.
10		Purchased goods from Richa for ₹ 60,000 at 10% trade discount and 5% cash discount. 60% amount paid by cheque immediately.

Discussion

7947.	Explain about the properties of the following quadrilaterals:-
Answer» Explain about the properties of the following quadrilaterals:-

Discussion

7948.	Water is pouring into a cuboidal reservoir at the rate of 60 litres per minute. If the volume of reservoir is 108 m3, find the number of hours it will take to fill the reservoir.
Answer» Water is pouring into a cuboidal reservoir at the rate of 60 litres per minute. If the volume of reservoir is $108 m^{3}$ , find the number of hours it will take to fill the reservoir.

Discussion

7949.	Find the area of the non-shaded portion. Given: ABED is a parallelogram.
Answer» Find the area of the non-shaded portion. Given: ABED is a parallelogram.

7949.

Find the area of the non-shaded portion. Given: ABED is a parallelogram.

Answer»

Find the area of the non-shaded portion. Given: ABED is a parallelogram.

Discussion

7950.

Question 79In the following question, state whether the given statements are true (T) or false (F).The value of 14−2=16

Answer»

Question 79

In the following question, state whether the given statements are true (T) or false (F).

The value of $\frac{1}{4^{- 2}} = 16$

Discussion

Explore topic-wise InterviewSolutions in .

The following pie chart represents the expenses of Jack on various items.Find the ratio of central angle made by the food sector to the clothing sector?

Explain series and parallel combination of capillaries and derive the formula

What is standardization?

(0.8a−0.5b) by (1.5a−3b)

If A, B, C, D, E are five points in a plane such that AB→+AE→+BC→+DC→+ED→=k AC→, then the value of k is _______________.

The factorization form of a4+b4–a2b2 is _____________.

Find the area of shaded region in the given fig. where ABCD is a square of side 10cm and semi-circles are drawn with each side of square as diameter. [π=3.14] [4 MARKS]

If the difference between a 3-digit number egf and the number obtained by reversing its digits is divided by 33, then the quotient and remainder respectively will be:

In the given figure, ABCD is a special quadrilateral in which the sum of its opposite internal angles is 180∘. What is the value of ∠FDC, given ∠CBE=130∘?

ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠DBC=80∘,∠BAC is 40∘, find ∠BCD in degrees.60

Write the axis on which the given point lies.(i) (2, 0)(ii) (0, –5)(iii) (–4, 0)(iv) (0, –1)

The two arcs of a circle are congruent if thesubtended by them at the center of the circle are equal.

If the sum of three consecutive integers is 72, then the largest of the three integers is

If X = 8.00\pm0.04 cm and Y = 4.00\pm0.04 cm,then X/Y should be expressed as

Find the angle ∠CAE of the given equiangular polygon ABCDE. degree

Factorise by grouping method: x2+y2+x+y+2xy

Question 4 Construct a parallelogram OKAY where OK=5.5 cm and KA=4.2 cm.

If a+b+c=9 and ab+bc+ca=23, then find the value of a2+b2+c2.35

Which bookmark set is correctly arranged as long, longer, and longest?

The value of 3√0.1×0.1×0.1×13×13×13

Question 44State whether the following statement is True or False.A polyhedron with least number of faces is known as a triangular pyramid.

Factorise : x3−64x

Check the commutative property of multiplication for the following pairs:

The Chinese Lunar Calender is based on a 12-year cycle. Each year is named after an animal. The year 2022 is named after the tiger.When will we have the next year of the tiger after 2022?

Factorise the expressions and divide them as directed5pq(p2−q2)÷2p(p+q)

Adidas has manufacturing facilities in 8 cities, 4 factories in each city with 5 shoe manufacturing machines in each of them. If each machine can print 100 shoes daily, how many shoes will be manufactured by Adidas in 1 day?

Question 12.Sushma tosses a coin 3 times and gets tail each time. Do you think that the outcome of next toss will be tail ? Give reasons.

Question 106 Solve the following question: What is the least number that should be added to 6200 to make it a perfect square?

Question 3Construct the Rhombus BEND whereBN=5.6 cm, DE=6.5 cm

A perpendicular bisector of a given line:

The following table gives the life times of neon lamps:Length (in hours)Number of lamps300−40014400−50056500−60060600−70086700−80074800−90062900−100048(i) Represent the given information with the help of a histogram.(ii) How many lamps have a life time of more than 700 hours?

Sides of a triangle are in the ratio of 12:17:25 and its perimeter is 540cm.Find its area.

Question 1 (e) State whether true or false. (e) All kites are rhombuses.

Question 112Solve the followingOn dividing Rs. 200 between A and B, such that twice of A's share is less than 3 times B's share by 200, what is B's share?

Identify the divisor, dividend, quotient and remainder when 47 is divided by 9. Verify the division using the relationship between these. [2 marks]

A quadrilateral has an area of 453.6 m2. The length of a diagonal is 42 m and the perpendicular distance from one vertex to the diagonal is 10 m. The perpendicular distance from the other vertex to the diagonal is ___ .

A streamer goes downstream from one point to another in 7 hours. It covers the same distance upstream in 8 hours. If the speed of the stream is 2 km/hr, find the speed of the streamer in still water.

Find the value of ‘x’, when 3x=√39.

List any 5 rational numbers less than 2?

If x+1/x=4,then find the value of x^2[x^2+1/x^6]+[x^3+1/x^3].

In an equilateral triangle of side 6 cm each median is drawn from a vertex of the triangle to its opposite side, find the length of the altitude.

Alex has 14 chocolate bars and each chocolate bar has 8 squares. He wants to divide them between his 9 cousins equally. Will she be able to divide them fully amongst them? How many square pieces does each get?

Explain about the properties of the following quadrilaterals:-

Water is pouring into a cuboidal reservoir at the rate of 60 litres per minute. If the volume of reservoir is 108 m3, find the number of hours it will take to fill the reservoir.

Find the area of the non-shaded portion. Given: ABED is a parallelogram.

Question 79In the following question, state whether the given statements are true (T) or false (F).The value of 14−2=16