25365 + Interview Questions in Mathematics Page 255 InterviewSolution

12701.	Which of the following congruency conditions is preferred to draw a triangle exactly congruent to a right-angled triangle?
Answer» Which of the following congruency conditions is preferred to draw a triangle exactly congruent to a right-angled triangle?

Discussion

12702.	Which of the following formulae can be used to find the area and the perimeter of a square? (Given Side length = 'a')
Answer» Which of the following formulae can be used to find the area and the perimeter of a square? (Given Side length = 'a')

Discussion

12703.	If a=1/2-√3 , b=1/3-√3 and c=1/√5+1 then write these in ascending order.
Answer» If a=1/2-√3 , b=1/3-√3 and c=1/√5+1 then write these in ascending order.

Discussion

12704.	Mohan's income is Rs. 15500 per month. He saves 11% of his income. If his income increases by 10% then he reduces his saving by 1%, how much does he save now?
Answer» Mohan's income is Rs. 15500 per month. He saves 11% of his income. If his income increases by 10% then he reduces his saving by 1%, how much does he save now?

Discussion

12705.	in equilateral triangle ABC, AD perpendicular BC and AD^2=xBC^2, then x
Answer» in equilateral triangle ABC, AD perpendicular BC and AD^2=xBC^2, then x

Discussion

12706.	The size of class interval 100-150 is:
Answer» The size of class interval 100-150 is:

12706.

The size of class interval 100-150 is:

Answer»

The size of class interval 100-150 is:

Discussion

12707.	22. The coordinate of the vertices of a triangle are (x1,y1),(x2,y2)&(x3,y3).The line joining the first two is divided in the ratio l:k, and the joining this point of division to the opposite angular point is then divide in the ratio m:k+l. Find the ratio of the latter point of section
Answer» 22. The coordinate of the vertices of a triangle are (x1,y1),(x2,y2)&(x3,y3).The line joining the first two is divided in the ratio l:k, and the joining this point of division to the opposite angular point is then divide in the ratio m:k+l. Find the ratio of the latter point of section

Discussion

12708.	A and B are two fixed points, 5 cm apart and C is a point on AB such that AC is 3 cm. If the length of AC is increased by 8%, then the length of CB is decreased by
Answer» $A$ and $B$ are two fixed points, $5$ cm apart and $C$ is a point on $A B$ such that $A C$ is $3$ cm. If the length of $A C$ is increased by $8 %,$ then the length of $C B$ is decreased by

Discussion

12709.	Construct an isosceles triangle PQR in which base PQ = 7.2 cm and altitude from R on PQ is 5 cm.
Answer» Construct an isosceles triangle PQR in which base PQ = 7.2 cm and altitude from R on PQ is 5 cm.

Discussion

12710.	Shivam buys a pencil for ₹ 15 and an eraser for ₹ 5. He then sells them for a total of ₹30. What is his profit percent?
Answer» Shivam buys a pencil for ₹ 15 and an eraser for ₹ 5. He then sells them for a total of ₹30. What is his profit percent?

Discussion

12711.	William is throwing a party for his math class and decides to visit Jones' Pi Bakery. There, cupcakes cost $2 and pies cost $7.5. William bought a total of 20 items. In all, he spent $73. How many cupcakes and pies did he purchase?
Answer» William is throwing a party for his math class and decides to visit Jones' Pi Bakery. There, cupcakes cost $ $2$ and pies cost $ $7.5$ . William bought a total of $20$ items. In all, he spent $ $73$ . How many cupcakes and pies did he purchase?

Discussion

12712.	Question 90 (x)Factorise the following, using the identity, a2−2ab+b2=(a−b)2.x24−2x+4
Answer» Question 90 (x) Factorise the following, using the identity, $a^{2} - 2 a b + b^{2} = (a - b)^{2}$ . $\frac{x^{2}}{4} - 2 x + 4$

Discussion

12713.	Find the least number, which needs to be added to 55078, so that the resulting number is a perfect square.
Answer» Find the least number, which needs to be added to 55078, so that the resulting number is a perfect square.

Discussion

12714.	Write the steps of construction of an angle 60∘ given below.
Answer» Write the steps of construction of an angle $60^{\circ}$ given below.

Discussion

12715.	A toy is in the form of a cone of radius 2 cm mounted on another inverted cone of same radius and same depth. Find the TSA of the toy if the height of cone is 4 cm.
Answer» A toy is in the form of a cone of radius 2 cm mounted on another inverted cone of same radius and same depth. Find the TSA of the toy if the height of cone is 4 cm.

Discussion

12716.	Fill in the BlanksQuestion 15The horizontal and vertical lines in a graph are usually called___ and ___.
Answer» Fill in the Blanks Question 15 The horizontal and vertical lines in a graph are usually called___ and ___.

Discussion

12717.	Who is to the North-East of the person who is sitting next to Krishna?
Answer» Who is to the North-East of the person who is sitting next to Krishna?

Discussion

12718.	Find the cube root of 10648 by prime factorisation method.
Answer» Find the cube root of 10648 by prime factorisation method.

Discussion

12719.	Construct a quadrilateral QRST in which angle Q =50° , angle R =70°, angle S =130°,QR=8cm , QT=5.8cm.
Answer» Construct a quadrilateral QRST in which angle Q =50° , angle R =70°, angle S =130°,QR=8cm , QT=5.8cm.

Discussion

12720.	(9(27(81(243^(1/3))^(1/3))^(1/3))^(1/3)= 3^((x+2)/x)
Answer» (9(27(81(243^(1/3))^(1/3))^(1/3))^(1/3)= 3^((x+2)/x)

Discussion

12721.	Compute the value of 182+122
Answer» Compute the value of $18^{2} + 12^{2}$

Discussion

12722.	1200 men can finish the stock of food in 35 days. How many more men should join them so that the same stock of food may last 25 days?
Answer» $1200$ men can finish the stock of food in $35$ days. How many more men should join them so that the same stock of food may last $25$ days?

Discussion

12723.	Question 146(iii)The table shows the portion of some common materials that are recycled.MaterialRecycledPaper511Aluminium cans58Glass25Scrap34Is the quantity of aluminium cans recycled more (or less) than half of the quantity of aluminium cans?
Answer» Question 146(iii) The table shows the portion of some common materials that are recycled. $\begin{matrix} Material & Recycled Paper & \frac{5}{11} Aluminium cans & \frac{5}{8} Glass & \frac{2}{5} Scrap & \frac{3}{4} \end{matrix}$ Is the quantity of aluminium cans recycled more (or less) than half of the quantity of aluminium cans?

Discussion

12724.	What smallest number should 7803 be multiplied with so that product becomes a perfect cube
Answer» What smallest number should 7803 be multiplied with so that product becomes a perfect cube

Discussion

12725.	A solid cylinder of radius r and height h is placed over other cylinder of same height and radius. The total surface area of the shape so formed is _______.
Answer» A solid cylinder of radius r and height h is placed over other cylinder of same height and radius. The total surface area of the shape so formed is _______.

Discussion

12726.	Consider the following information and answer the questions that follow. There is a solid cuboid with dimensions 16 cm×16 cm×12 cm, which is painted with red colour on all its six faces. It is then cut into identical cubes of maximum possible size such that no part of cuboid is wasted. Q63. What is the total number of cubes obtained from the cuboid? नीचे दी गई जानकारी पर विचार कीजिए और इसके आगे आने वाले प्रश्न का उत्तर दीजिए। 16 से.मी. × 16 से.मी. × 12 से.मी. के आयामों वाला एक ठेस घनाभ है, जिसकी सभी छह फलकों को लाल रंग से रंगा गया है। अब इसे अधिकतम संभव आकार के समान घनों में इस तरह काटा जाता है कि घनाभ का कोई भी भाग व्यर्थ नहीं जाता है। Q63. घनाभ से कुल कितने घन प्राप्त किए जा सकते हैं?
Answer» Consider the following information and answer the questions that follow. There is a solid cuboid with dimensions 16 cm×16 cm×12 cm, which is painted with red colour on all its six faces. It is then cut into identical cubes of maximum possible size such that no part of cuboid is wasted. Q63. What is the total number of cubes obtained from the cuboid? नीचे दी गई जानकारी पर विचार कीजिए और इसके आगे आने वाले प्रश्न का उत्तर दीजिए। 16 से.मी. × 16 से.मी. × 12 से.मी. के आयामों वाला एक ठेस घनाभ है, जिसकी सभी छह फलकों को लाल रंग से रंगा गया है। अब इसे अधिकतम संभव आकार के समान घनों में इस तरह काटा जाता है कि घनाभ का कोई भी भाग व्यर्थ नहीं जाता है। Q63. घनाभ से कुल कितने घन प्राप्त किए जा सकते हैं?

12726.

Consider the following information and answer the questions that follow. There is a solid cuboid with dimensions 16 cm×16 cm×12 cm, which is painted with red colour on all its six faces. It is then cut into identical cubes of maximum possible size such that no part of cuboid is wasted. Q63. What is the total number of cubes obtained from the cuboid? नीचे दी गई जानकारी पर विचार कीजिए और इसके आगे आने वाले प्रश्न का उत्तर दीजिए। 16 से.मी. × 16 से.मी. × 12 से.मी. के आयामों वाला एक ठेस घनाभ है, जिसकी सभी छह फलकों को लाल रंग से रंगा गया है। अब इसे अधिकतम संभव आकार के समान घनों में इस तरह काटा जाता है कि घनाभ का कोई भी भाग व्यर्थ नहीं जाता है। Q63. घनाभ से कुल कितने घन प्राप्त किए जा सकते हैं?

Answer»

Consider the following information and answer the questions that follow.

There is a solid cuboid with dimensions 16 cm×16 cm×12 cm, which is painted with red colour on all its six faces. It is then cut into identical cubes of maximum possible size such that no part of cuboid is wasted.

Q63. What is the total number of cubes obtained from the cuboid?

नीचे दी गई जानकारी पर विचार कीजिए और इसके आगे आने वाले प्रश्न का उत्तर दीजिए।

16 से.मी. × 16 से.मी. × 12 से.मी. के आयामों वाला एक ठेस घनाभ है, जिसकी सभी छह फलकों को लाल रंग से रंगा गया है।

अब इसे अधिकतम संभव आकार के समान घनों में इस तरह काटा जाता है कि घनाभ का कोई भी भाग व्यर्थ नहीं जाता है।

Q63. घनाभ से कुल कितने घन प्राप्त किए जा सकते हैं?

Discussion

12727.	Expand the algebraic expression (3a2+2b3)(3a2−2b3).
Answer» Expand the algebraic expression $(3 a^{2} + 2 b^{3}) (3 a^{2} - 2 b^{3}) .$

Discussion

12728.	A wooden cylindrical pole is 7 m high and its base radius is 10 cm. Find its weight if the wood weighs 225 kg per cubic metre.
Answer» A wooden cylindrical pole is $7 m$ high and its base radius is $10 c m .$ Find its weight if the wood weighs $225 k g$ per cubic metre.

Discussion

12729.	A cylindrical tank has a capacity of 6160 m3. Find its depth if its radius is 14 m. Calculate the cost of painting its curved surface (outer) at the rate of Rs. 3 per m2.
Answer» A cylindrical tank has a capacity of 6160 $m^{3}$ . Find its depth if its radius is 14 m. Calculate the cost of painting its curved surface (outer) at the rate of Rs. 3 per $m^{2}$ .

Discussion

12730.	6. Construct a rhombus ABCD, when One side =5.0 cm and height =2.6 cm
Answer» 6. Construct a rhombus ABCD, when One side =5.0 cm and height =2.6 cm

Discussion

12731.	Fifteen men can build a wall in 60 days. How many more men are required to build another wall of same size in 45 days?
Answer» Fifteen men can build a wall in 60 days. How many more men are required to build another wall of same size in 45 days?

Discussion

12732.	What is a nuclide
Answer» What is a nuclide

Discussion

12733.	If the sum of three consecutive odd numbers is a perfect square between 200 and 400, then the root of this sum is:(A)15(B)16(C)18(D)24
Answer» If the sum of three consecutive odd numbers is a perfect square between 200 and 400, then the root of this sum is: (A)15 (B)16 (C)18 (D)24

Discussion

12734.	Factorise the following : (i) 25a Square + 30a + 9
Answer» Factorise the following : (i) 25a Square + 30a + 9

Discussion

12735.	Question 1 (d) Given here are some figures: Classify each of them on the basis of the following. (d) Convex polygon
Answer» Question 1 (d) Given here are some figures: Classify each of them on the basis of the following. (d) Convex polygon

Discussion

12736.	The common factor of 3ab and 6ad is ____.
Answer» The common factor of $3 a b$ and $6 a d$ is ____.

Discussion

12737.	Which of the following numbers is not irrational?
Answer» Which of the following numbers is not irrational?

Discussion

12738.	Question 87 In the following question, state whether the given statements are true (T) or false (F). The usual form for2×10−2 is not equal to 0.02.
Answer» Question 87 In the following question, state whether the given statements are true (T) or false (F). The usual form for $2 \times 10^{- 2}$ is not equal to 0.02.

12738.

Question 87 In the following question, state whether the given statements are true (T) or false (F). The usual form for2×10−2 is not equal to 0.02.

Answer»

Question 87

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

The usual form for $2 \times 10^{- 2}$ is not equal to 0.02.

Discussion

12739.	Analyse the given pie chart and answer the following question. Monthly income of a family is Rs.12, 000. The amount of money saved is:
Answer» Analyse the given pie chart and answer the following question. Monthly income of a family is Rs.12, 000. The amount of money saved is:

12739.

Analyse the given pie chart and answer the following question. Monthly income of a family is Rs.12, 000. The amount of money saved is:

Answer»

Analyse the given pie chart and answer the following question.

Monthly income of a family is Rs.12, 000. The amount of money saved is:

Discussion

12740.	Question 2(iv) Write the additive inverse of each of the following: −29
Answer» Question 2(iv) Write the additive inverse of each of the following: $\frac{- 2}{9}$

Discussion

12741.	Evaluate (a+2b+3c)2
Answer» Evaluate $(a + 2 b + 3 c)^{2}$

Discussion

12742.	Find the area of the shaded portion in the following figures
Answer» Find the area of the shaded portion in the following figures

Discussion

12743.	If M is a square number, then the next immediate square number is:
Answer» If M is a square number, then the next immediate square number is:

Discussion

12744.	The equation of the line parallel to the x - axis at a distance of 6 units above the origin is
Answer» The equation of the line parallel to the x - axis at a distance of 6 units above the origin is

Discussion

12745.

Verify Euler’s formula for these solids. (i) (ii)

Answer»

Verify Euler’s formula for these solids.


(i)	(ii)

Discussion

12746.	Find all 8-digit numbers 273A49B5 which are divisible by 11 as well as 25.
Answer» Find all 8-digit numbers 273A49B5 which are divisible by 11 as well as 25.

Discussion

12747.	Identify the equiangular polygon(s).
Answer» Identify the equiangular polygon(s).

Discussion

12748.	Which of the following numbers is a cube number?
Answer» Which of the following numbers is a cube number?

Discussion

12749.	State whether the statements are True or False. Question 30 The ordinate of a point is its distance from the Y-axis.
Answer» State whether the statements are True or False. Question 30 The ordinate of a point is its distance from the Y-axis.

Discussion

12750.

Factorise(i) x2 + xy + 8x + 8y(ii) 15xy − 6x + 5y − 2(iii) ax + bx − ay − by(iv) 15pq + 15 + 9q + 25p(v) z − 7 + 7xy − xyz

Answer»

Factorise

(i) x² + xy + 8x + 8y

(ii) 15xy − 6x + 5y − 2

(iii) ax + bx − ay − by

(iv) 15pq + 15 + 9q + 25p

(v) z − 7 + 7xy − xyz

Discussion

Explore topic-wise InterviewSolutions in .

Which of the following congruency conditions is preferred to draw a triangle exactly congruent to a right-angled triangle?

Which of the following formulae can be used to find the area and the perimeter of a square? (Given Side length = 'a')

If a=1/2-√3 , b=1/3-√3 and c=1/√5+1 then write these in ascending order.

Mohan's income is Rs. 15500 per month. He saves 11% of his income. If his income increases by 10% then he reduces his saving by 1%, how much does he save now?

in equilateral triangle ABC, AD perpendicular BC and AD^2=xBC^2, then x

The size of class interval 100-150 is:

22. The coordinate of the vertices of a triangle are (x1,y1),(x2,y2)&(x3,y3).The line joining the first two is divided in the ratio l:k, and the joining this point of division to the opposite angular point is then divide in the ratio m:k+l. Find the ratio of the latter point of section

A and B are two fixed points, 5 cm apart and C is a point on AB such that AC is 3 cm. If the length of AC is increased by 8%, then the length of CB is decreased by

Construct an isosceles triangle PQR in which base PQ = 7.2 cm and altitude from R on PQ is 5 cm.

Shivam buys a pencil for ₹ 15 and an eraser for ₹ 5. He then sells them for a total of ₹30. What is his profit percent?

William is throwing a party for his math class and decides to visit Jones' Pi Bakery. There, cupcakes cost $2 and pies cost $7.5. William bought a total of 20 items. In all, he spent $73. How many cupcakes and pies did he purchase?

Question 90 (x)Factorise the following, using the identity, a2−2ab+b2=(a−b)2.x24−2x+4

Find the least number, which needs to be added to 55078, so that the resulting number is a perfect square.

Write the steps of construction of an angle 60∘ given below.

A toy is in the form of a cone of radius 2 cm mounted on another inverted cone of same radius and same depth. Find the TSA of the toy if the height of cone is 4 cm.

Fill in the BlanksQuestion 15The horizontal and vertical lines in a graph are usually called___ and ___.

Who is to the North-East of the person who is sitting next to Krishna?

Find the cube root of 10648 by prime factorisation method.

Construct a quadrilateral QRST in which angle Q =50° , angle R =70°, angle S =130°,QR=8cm , QT=5.8cm.

(9(27(81(243^(1/3))^(1/3))^(1/3))^(1/3)= 3^((x+2)/x)

Compute the value of 182+122

1200 men can finish the stock of food in 35 days. How many more men should join them so that the same stock of food may last 25 days?

Question 146(iii)The table shows the portion of some common materials that are recycled.MaterialRecycledPaper511Aluminium cans58Glass25Scrap34Is the quantity of aluminium cans recycled more (or less) than half of the quantity of aluminium cans?

What smallest number should 7803 be multiplied with so that product becomes a perfect cube

A solid cylinder of radius r and height h is placed over other cylinder of same height and radius. The total surface area of the shape so formed is _______.

Expand the algebraic expression (3a2+2b3)(3a2−2b3).

A wooden cylindrical pole is 7 m high and its base radius is 10 cm. Find its weight if the wood weighs 225 kg per cubic metre.

A cylindrical tank has a capacity of 6160 m3. Find its depth if its radius is 14 m. Calculate the cost of painting its curved surface (outer) at the rate of Rs. 3 per m2.

6. Construct a rhombus ABCD, when One side =5.0 cm and height =2.6 cm

Fifteen men can build a wall in 60 days. How many more men are required to build another wall of same size in 45 days?

What is a nuclide

If the sum of three consecutive odd numbers is a perfect square between 200 and 400, then the root of this sum is:(A)15(B)16(C)18(D)24

Factorise the following : (i) 25a Square + 30a + 9

Question 1 (d) Given here are some figures: Classify each of them on the basis of the following. (d) Convex polygon

The common factor of 3ab and 6ad is ____.

Which of the following numbers is not irrational?

Question 87 In the following question, state whether the given statements are true (T) or false (F). The usual form for2×10−2 is not equal to 0.02.

Analyse the given pie chart and answer the following question. Monthly income of a family is Rs.12, 000. The amount of money saved is:

Question 2(iv) Write the additive inverse of each of the following: −29

Evaluate (a+2b+3c)2

Find the area of the shaded portion in the following figures

If M is a square number, then the next immediate square number is:

The equation of the line parallel to the x - axis at a distance of 6 units above the origin is

Verify Euler’s formula for these solids. (i) (ii)

Find all 8-digit numbers 273A49B5 which are divisible by 11 as well as 25.

Identify the equiangular polygon(s).

Which of the following numbers is a cube number?

State whether the statements are True or False. Question 30 The ordinate of a point is its distance from the Y-axis.

Factorise(i) x2 + xy + 8x + 8y(ii) 15xy − 6x + 5y − 2(iii) ax + bx − ay − by(iv) 15pq + 15 + 9q + 25p(v) z − 7 + 7xy − xyz

Fill in the BlanksQuestion 15The horizontal and vertical lines in a graph are usually called_ and _.