25365 + Interview Questions in Mathematics Page 111 InterviewSolution

5501.	Question 82 (vi)Subtract7p(3q + 7p) from 8p(2p - 7q)
Answer» Question 82 (vi) Subtract 7p(3q + 7p) from 8p(2p - 7q)

5501.

Question 82 (vi)Subtract7p(3q + 7p) from 8p(2p - 7q)

Answer»

Question 82 (vi)

Subtract

7p(3q + 7p) from 8p(2p - 7q)

5502.	If we subtract −4x2y from 2x2y, we get ______.
Answer» If we subtract $- 4 x^{2} y$ from $2 x^{2} y$ , we get ______.

Discussion

5503.	The average earning of a person for the first four days of a week is ₹18 and for the last four days is ₹22. If he earns ₹20 on the fourth day, what is average earning for the whole week?
Answer» The average earning of a person for the first four days of a week is $₹ 18$ and for the last four days is $₹ 22$ . If he earns $₹ 20$ on the fourth day, what is average earning for the whole week?

Discussion

5504.	Find x for the following:(i) 9x² - 9(a+b)x + 2a² + 5ab + 2b² = 0(ii) 10x² + 3bx + a² -7ax - b²
Answer» Find x for the following: (i) 9x² - 9(a+b)x + 2a² + 5ab + 2b² = 0 (ii) 10x² + 3bx + a² -7ax - b²

Discussion

5505.	The coordinates of a point are of the form (+,-). Then the point lies in which quadrant?
Answer» The coordinates of a point are of the form (+,-). Then the point lies in which quadrant?

Discussion

5506.	Identify the remainder when 1+x+x2+x3+....+x2012 is divided by x−1
Answer» Identify the remainder when $1 + x + x^{2} + x^{3} + . . . . + x^{2012}$ is divided by $x - 1$

Discussion

5507.	In a student election, 584 students voted for one of the two candidates for the position of president. If the winner received 122 more votes than the loser, then the number of votes that the loser got is _____
Answer» In a student election, 584 students voted for one of the two candidates for the position of president. If the winner received 122 more votes than the loser, then the number of votes that the loser got is _____

Discussion

5508.	Which point is interior to and which is exterior to ∠ABC ?
Answer» Which point is interior to and which is exterior to $∠$ $A B C ?$

Discussion

5509.	14. The set of points on an Argand diagram which satisfy both \|z\|
Answer» 14. The set of points on an Argand diagram which satisfy both \|z\| <= 4 and arg(z) = pie/3 are lying on A. A circle and a line B. A radius of a circle C. A sector of a circle D. An infinite line.

Discussion

5510.	The region x > -3 lies
Answer» The region x > -3 lies

Discussion

5511.	Which one of the following is/are correct?
Answer» Which one of the following is/are correct?

5511.

Which one of the following is/are correct?

Answer»

Which one of the following is/are correct?

Discussion

5512.	10. Factorise- ab^3 + bc^3 + ca^3+ a^2b^2c^2- a^3b^2- b^3c^2 - c^a^2- abc
Answer» 10. Factorise- ab^3 + bc^3 + ca^3+ a^2b^2c^2- a^3b^2- b^3c^2 - c^a^2- abc

Discussion

5513.	In a square ABCD, AB = (2x+3) cm and BC = (3x-5) xm. Then the value of x is (a) 4 (b) 5 (c) 6 (d) 8
Answer» In a square ABCD, AB = (2x+3) cm and BC = (3x-5) xm. Then the value of x is (a) 4 (b) 5 (c) 6 (d) 8

5513.

In a square ABCD, AB = (2x+3) cm and BC = (3x-5) xm. Then the value of x is (a) 4 (b) 5 (c) 6 (d) 8

Answer»

In a square ABCD, AB = (2x+3) cm and BC = (3x-5) xm. Then the value of x is

(a) 4 (b) 5 (c) 6 (d) 8

Discussion

5514.	The upright pyramid of number is absent in (A) pond. (B) forest (C) Lake
Answer» The upright pyramid of number is absent in (A) pond. (B) forest (C) Lake

Discussion

5515.	How do I describe the location of a point on a board?
Answer» How do I describe the location of a point on a board?

Discussion

5516.	A man sells a radio-set for Rs. 605 and gains 10%. At what price should he sell another radio of the same kind, in order to gain 16% ?
Answer» A man sells a radio-set for Rs. 605 and gains 10%. At what price should he sell another radio of the same kind, in order to gain 16% ?

Discussion

5517.	Find the value of 'a' such that (x-1) is the factor of x2 + ax +9.
Answer» Find the value of 'a' such that (x-1) is the factor of x²+ ax +9.

Discussion

5518.	What should be the SP of an item that costs ₹200 in order to make a profit of 50%?
Answer» What should be the SP of an item that costs ₹200 in order to make a profit of 50%?

Discussion

5519.	Show that the triangle formed by joining the mid points of sides of an equilateral triangle is also equilateral
Answer» Show that the triangle formed by joining the mid points of sides of an equilateral triangle is also equilateral

Discussion

5520.	What will be the value of x if x+1x+4=23?
Answer» What will be the value of x if $\frac{x + 1}{x + 4} = \frac{2}{3}$ ?

Discussion

5521.	Match the followings with their correct expression
Answer» Match the followings with their correct expression

Discussion

5522.	In what time will Rs. 4400 becomes Rs.4576 at 8% per annum inerest compounded half- yearly?
Answer» In what time will Rs. 4400 becomes Rs.4576 at $8 %$ per annum inerest compounded half- yearly?

Discussion

5523.	Suppose the length of a cube is increased by 10% and its breadth is decreased by 10%. Will the volume of the new cuboid be the same as that of the cube? What about the total surface areas? If they change, what would be the percentage change in both the cases?
Answer» Suppose the length of a cube is increased by 10% and its breadth is decreased by 10%. Will the volume of the new cuboid be the same as that of the cube? What about the total surface areas? If they change, what would be the percentage change in both the cases?

5523.

Suppose the length of a cube is increased by 10% and its breadth is decreased by 10%. Will the volume of the new cuboid be the same as that of the cube? What about the total surface areas? If they change, what would be the percentage change in both the cases?

Answer»

Suppose the length of a cube is increased by 10% and its breadth is decreased by 10%. Will the volume of the new cuboid be the same as that of the cube? What about the total surface areas? If they change, what would be the percentage change in both the cases?

Discussion

5524.	A company packages itsmilk powder in cylindrical container whose base has a diameter of 14cm and height 20 cm. Company places a label around the surface of thecontainer (as shown in the figure). If the label is placed 2 cm fromtop and bottom, what is the area of the label.
Answer» A company packages its milk powder in cylindrical container whose base has a diameter of 14 cm and height 20 cm. Company places a label around the surface of the container (as shown in the figure). If the label is placed 2 cm from top and bottom, what is the area of the label.

5524.

A company packages itsmilk powder in cylindrical container whose base has a diameter of 14cm and height 20 cm. Company places a label around the surface of thecontainer (as shown in the figure). If the label is placed 2 cm fromtop and bottom, what is the area of the label.

Answer»

A company packages its
milk powder in cylindrical container whose base has a diameter of 14
cm and height 20 cm. Company places a label around the surface of the
container (as shown in the figure). If the label is placed 2 cm from
top and bottom, what is the area of the label.

Discussion

5525.	Solve the given expression by substituting the value of x = 6 in (45x−4)(5−4×102×x−8)
Answer» Solve the given expression by substituting the value of x = 6 in $\frac{(45 x^{- 4})}{(5^{- 4} \times 10^{2} \times x^{- 8})}$

Discussion

5526.	A statue is 5 m 25 cm tall, which is standing on a 1 m high pedestal. If Mona's height is 120 cm, what is difference between her height and the total height of the statue including its pedestral?
Answer» A statue is 5 m 25 cm tall, which is standing on a 1 m high pedestal. If Mona's height is 120 cm, what is difference between her height and the total height of the statue including its pedestral?

Discussion

5527.	What fraction of an hour is 40 minutes?
Answer» What fraction of an hour is 40 minutes?

Discussion

5528.	Question 35In the given figure, ABCD and BDCE are parallelograms with common base DC. If BC⊥BD, then ∠BEC is equal toa) 60∘b) 30∘c) 150∘d) 120∘
Answer» Question 35 In the given figure, ABCD and BDCE are parallelograms with common base DC. If $B C ⊥ B D$ , then $∠ B E C$ is equal to a) $60^{\circ}$ b) $30^{\circ}$ c) $150^{\circ}$ d) $120^{\circ}$

Discussion

5529.	Question 3 Draw a pie chart showing the following information. The table shows the colours preferred by a group of people. ColoursNo. of peopleBlue18Greeen9Red6Yellow3Total36
Answer» Question 3 Draw a pie chart showing the following information. The table shows the colours preferred by a group of people. $\begin{matrix} Colours & No. of people Blue & 18 Greeen & 9 Red & 6 Yellow & 3 T o t a l & 36 \end{matrix}$

Discussion

5530.	In the figure, compute the area of the quadirlateral.
Answer» In the figure, compute the area of the quadirlateral.

Discussion

5531.	In the given figure AD is the bisector of ∠A and AB = AC. Then, by which criterion △ACD and △ABD are congruent?
Answer» In the given figure AD is the bisector of $∠$ A and AB = AC. Then, by which criterion $△$ ACD and $△$ ABD are congruent?

5531.

In the given figure AD is the bisector of ∠A and AB = AC. Then, by which criterion △ACD and △ABD are congruent?

Answer»

In the given figure AD is the bisector of $∠$ A and AB = AC. Then, by which criterion $△$ ACD and $△$ ABD are congruent?

Discussion

5532.	A triangle cannot have more than__obtuse angle(s).
Answer» A triangle cannot have more than__obtuse angle(s).

Discussion

5533.	For what value of 'x' is 78−(−114)+x=3724?
Answer» For what value of 'x' is $\frac{7}{8} - (- \frac{11}{4}) + x = 3 \frac{7}{24}$ ?

Discussion

5534.	Find the cost of white washing the four walls of a cubical room of side 4 m at the rate of Rs 20/m2.
Answer» Find the cost of white washing the four walls of a cubical room of side 4 m at the rate of Rs 20/m².

Discussion

5535.	The minute hand of a clock is 7.5 cm long. Find the area of the face of the clock described by the minute hand in 56 minutes.
Answer» The minute hand of a clock is 7.5 cm long. Find the area of the face of the clock described by the minute hand in 56 minutes.

Discussion

5536.	Mohan father is 26 years younger than mohan grandfather and 29 years older than mohan. The sum of the age of all the three is 135 year. what is the age of each one of them.
Answer» Mohan father is $26$ years younger than mohan grandfather and $29$ years older than mohan. The sum of the age of all the three is $135$ year. what is the age of each one of them.

Discussion

5537.	Question 5(ii)Obtain the product of:2,4y,8y2,16y3
Answer» Question 5(ii) Obtain the product of: $2, 4 y, 8 y^{2}, 16 y^{3}$

Discussion

5538.	A field is in the shape of a trapezium whose parallel sides are 50 m and 15 m. The non-parallel sides are20 m and 25 m. Find the area of trapezium.
Answer» A field is in the shape of a trapezium whose parallel sides are 50 m and 15 m. The non-parallel sides are20 m and 25 m. Find the area of trapezium.

Discussion

5539.	To determine all angles of a parallelogram, which of the following is the minimum necessary condition?
Answer» To determine all angles of a parallelogram, which of the following is the minimum necessary condition?

Discussion

5540.	By selling a table-fan for ₹891, a man suffers a 10% Loss. At what price should he sell it in order to make a profit of 20%?
Answer» By selling a table-fan for ₹891, a man suffers a 10% Loss. At what price should he sell it in order to make a profit of 20%?

Discussion

5541.	Find the number in the following cases: a) when a number is multiplied by 6 and the product is added with 4 it becomes 54 b) Adding 6 to 4 times a number gives 88. [4 MARKS]
Answer» Find the number in the following cases: a) when a number is multiplied by 6 and the product is added with 4 it becomes 54 b) Adding 6 to 4 times a number gives 88. [4 MARKS]

Discussion

5542.	Foran experiment in Botany, two different plants, plant A and plant Bwere grown under similar laboratory conditions. Their heights weremeasured at the end of each week for 3 weeks. The results are shownby the following graph.(a) How high was Plant A after (i) 2 weeks (ii) 3weeks?(b) How high was PlantB after (i) 2 weeks (ii) 3weeks?(c) How much did PlantA grow during the 3rd week?(d) How much did Plant B grow from the end of the 2nd weekto the end of the 3rd week?(e) During which weekdid Plant A grow most?(f) During which weekdid Plant B grow least?(g) Were the two plants of the same height during any week shownhere? Specify.
Answer» For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph. (a) How high was Plant A after (i) 2 weeks (ii) 3weeks? (b) How high was Plant B after (i) 2 weeks (ii) 3weeks? (c) How much did Plant A grow during the 3^rd week? (d) How much did Plant B grow from the end of the 2^nd week to the end of the 3^rd week? (e) During which week did Plant A grow most? (f) During which week did Plant B grow least? (g) Were the two plants of the same height during any week shown here? Specify.

5542.

Foran experiment in Botany, two different plants, plant A and plant Bwere grown under similar laboratory conditions. Their heights weremeasured at the end of each week for 3 weeks. The results are shownby the following graph.(a) How high was Plant A after (i) 2 weeks (ii) 3weeks?(b) How high was PlantB after (i) 2 weeks (ii) 3weeks?(c) How much did PlantA grow during the 3rd week?(d) How much did Plant B grow from the end of the 2nd weekto the end of the 3rd week?(e) During which weekdid Plant A grow most?(f) During which weekdid Plant B grow least?(g) Were the two plants of the same height during any week shownhere? Specify.

Answer»

For
an experiment in Botany, two different plants, plant A and plant B
were grown under similar laboratory conditions. Their heights were
measured at the end of each week for 3 weeks. The results are shown
by the following graph.

(a) How high was Plant A after (i) 2 weeks (ii) 3weeks?

(b) How high was Plant
B after (i) 2 weeks (ii) 3weeks?

(c) How much did Plant
A grow during the 3^rd week?

(d) How much did Plant B grow from the end of the 2^nd week
to the end of the 3^rd week?

(e) During which week
did Plant A grow most?

(f) During which week
did Plant B grow least?

(g) Were the two plants of the same height during any week shown
here? Specify.

Discussion

5543.	Why is zero called the identity for the addition of rational numbers
Answer» Why is zero called the identity for the addition of rational numbers

Discussion

5544.	The area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x2 + y2 = 32 is(a) 16π sq. units (b) 4π sq. units (c) 32π sq. u nits (d) 24 sq. units
Answer» The area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x² + y² = 32 is (a) 16π sq. units (b) 4π sq. units (c) 32π sq. u nits (d) 24 sq. units

Discussion

5545.	How to represent 4- root 2 on the number line
Answer» How to represent 4- root 2 on the number line

Discussion

5546.	The perimeter of the base of a cuboid of height 7 cm is 14 cm. Find the lateral surface area of the cuboid (in cm2).98
Answer» The perimeter of the base of a cuboid of height 7 cm is 14 cm. Find the lateral surface area of the cuboid (in ${c m}^{2}$ ). 98

Discussion

5547.	The whole number closest to the square root of 89 is _____.
Answer» The whole number closest to the square root of 89 is _____.

Discussion

5548.	Divide p2+pq−pr by −p.
Answer» Divide $p^{2} + p q - p r$ by $- p$ .

Discussion

5549.	Water capacity of a cuboidal tank is 25 liters. Find its volume in cubic meters.
Answer» Water capacity of a cuboidal tank is 25 liters. Find its volume in cubic meters.

5549.

Water capacity of a cuboidal tank is 25 liters. Find its volume in cubic meters.

Answer»

Water capacity of a cuboidal tank is 25 liters. Find its volume in cubic meters.

Discussion

5550.	If 15 toys cost Rs. 237, then what is the cost of 45 toys?
Answer» If 15 toys cost Rs. 237, then what is the cost of 45 toys?

Discussion

Explore topic-wise InterviewSolutions in .

Question 82 (vi)Subtract7p(3q + 7p) from 8p(2p - 7q)

If we subtract −4x2y from 2x2y, we get ______.

The average earning of a person for the first four days of a week is ₹18 and for the last four days is ₹22. If he earns ₹20 on the fourth day, what is average earning for the whole week?

Find x for the following:(i) 9x² - 9(a+b)x + 2a² + 5ab + 2b² = 0(ii) 10x² + 3bx + a² -7ax - b²

The coordinates of a point are of the form (+,-). Then the point lies in which quadrant?

Identify the remainder when 1+x+x2+x3+....+x2012 is divided by x−1

In a student election, 584 students voted for one of the two candidates for the position of president. If the winner received 122 more votes than the loser, then the number of votes that the loser got is _____

Which point is interior to and which is exterior to ∠ABC ?

14. The set of points on an Argand diagram which satisfy both |z|

The region x &gt; -3 lies

Which one of the following is/are correct?

10. Factorise- ab^3 + bc^3 + ca^3+ a^2b^2c^2- a^3b^2- b^3c^2 - c^a^2- abc

In a square ABCD, AB = (2x+3) cm and BC = (3x-5) xm. Then the value of x is (a) 4 (b) 5 (c) 6 (d) 8

The upright pyramid of number is absent in (A) pond. (B) forest (C) Lake

How do I describe the location of a point on a board?

A man sells a radio-set for Rs. 605 and gains 10%. At what price should he sell another radio of the same kind, in order to gain 16% ?

Find the value of 'a' such that (x-1) is the factor of x2 + ax +9.

What should be the SP of an item that costs ₹200 in order to make a profit of 50%?

Show that the triangle formed by joining the mid points of sides of an equilateral triangle is also equilateral

What will be the value of x if x+1x+4=23?

Match the followings with their correct expression

In what time will Rs. 4400 becomes Rs.4576 at 8% per annum inerest compounded half- yearly?

Suppose the length of a cube is increased by 10% and its breadth is decreased by 10%. Will the volume of the new cuboid be the same as that of the cube? What about the total surface areas? If they change, what would be the percentage change in both the cases?

A company packages itsmilk powder in cylindrical container whose base has a diameter of 14cm and height 20 cm. Company places a label around the surface of thecontainer (as shown in the figure). If the label is placed 2 cm fromtop and bottom, what is the area of the label.

Solve the given expression by substituting the value of x = 6 in (45x−4)(5−4×102×x−8)

A statue is 5 m 25 cm tall, which is standing on a 1 m high pedestal. If Mona's height is 120 cm, what is difference between her height and the total height of the statue including its pedestral?

What fraction of an hour is 40 minutes?

Question 35In the given figure, ABCD and BDCE are parallelograms with common base DC. If BC⊥BD, then ∠BEC is equal toa) 60∘b) 30∘c) 150∘d) 120∘

Question 3 Draw a pie chart showing the following information. The table shows the colours preferred by a group of people. ColoursNo. of peopleBlue18Greeen9Red6Yellow3Total36

In the figure, compute the area of the quadirlateral.

In the given figure AD is the bisector of ∠A and AB = AC. Then, by which criterion △ACD and △ABD are congruent?

A triangle cannot have more than__obtuse angle(s).

For what value of 'x' is 78−(−114)+x=3724?

Find the cost of white washing the four walls of a cubical room of side 4 m at the rate of Rs 20/m2.

The minute hand of a clock is 7.5 cm long. Find the area of the face of the clock described by the minute hand in 56 minutes.

Mohan father is 26 years younger than mohan grandfather and 29 years older than mohan. The sum of the age of all the three is 135 year. what is the age of each one of them.

Question 5(ii)Obtain the product of:2,4y,8y2,16y3

A field is in the shape of a trapezium whose parallel sides are 50 m and 15 m. The non-parallel sides are20 m and 25 m. Find the area of trapezium.

To determine all angles of a parallelogram, which of the following is the minimum necessary condition?

By selling a table-fan for ₹891, a man suffers a 10% Loss. At what price should he sell it in order to make a profit of 20%?

Find the number in the following cases: a) when a number is multiplied by 6 and the product is added with 4 it becomes 54 b) Adding 6 to 4 times a number gives 88. [4 MARKS]

Why is zero called the identity for the addition of rational numbers

The area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x2 + y2 = 32 is(a) 16π sq. units (b) 4π sq. units (c) 32π sq. u nits (d) 24 sq. units

How to represent 4- root 2 on the number line

The perimeter of the base of a cuboid of height 7 cm is 14 cm. Find the lateral surface area of the cuboid (in cm2).98

The whole number closest to the square root of 89 is _____.

Divide p2+pq−pr by −p.

Water capacity of a cuboidal tank is 25 liters. Find its volume in cubic meters.

If 15 toys cost Rs. 237, then what is the cost of 45 toys?

The region x > -3 lies