19743 + Interview Questions in Mathematics Page 173 InterviewSolution

8601.	Construct a triangle XYZ in which XY = YZ = 4.5 cm and ZX = 5.4 cm. Draw the circumcircle of the triangle.
Answer» Construct a triangle XYZ in which XY = YZ = 4.5 cm and ZX = 5.4 cm. Draw the circumcircle of the triangle.

Discussion

8602.	Question 3 (vii) Subtract: 5a2−7ab+5b2 from 3ab−2a2−2b2
Answer» Question 3 (vii) Subtract: $5 a^{2} - 7 a b + 5 b^{2} f r o m 3 a b - 2 a^{2} - 2 b^{2}$

8602.

Question 3 (vii) Subtract: 5a2−7ab+5b2 from 3ab−2a2−2b2

Answer»

Question 3 (vii)

Subtract:

$5 a^{2} - 7 a b + 5 b^{2} f r o m 3 a b - 2 a^{2} - 2 b^{2}$

Discussion

8603.	Three cubes each with 2cm edge are placed side by side to form a cuboid. Sketch an obliqueor isometric sketch of this cuboid.
Answer» Three cubes each with 2 cm edge are placed side by side to form a cuboid. Sketch an oblique or isometric sketch of this cuboid.

Discussion

8604.	45. If a+b+c =0 then find the value of a+b+c
Answer» 45. If a+b+c =0 then find the value of a+b+c

Discussion

8605.	84.Triangle ABC and triangle BDE are two similar triangles such that D is the midpoint of BC.Find the ratio of the areas of the triangle ABC and BDE.
Answer» 84.Triangle ABC and triangle BDE are two similar triangles such that D is the midpoint of BC.Find the ratio of the areas of the triangle ABC and BDE.

Discussion

8606.	Choose the correct equivalent of 93 from the given pairs:
Answer» Choose the correct equivalent of 93 from the given pairs:

Discussion

8607.	Which of the following tests cannot be undertaken for checking the construction of triangles?
Answer» Which of the following tests cannot be undertaken for checking the construction of triangles?

Discussion

8608.	Sides of two similar triangles are in the ratio of 4: 9. Areas of these triangles are in the ratio___.
Answer» Sides of two similar triangles are in the ratio of 4: 9. Areas of these triangles are in the ratio___.

Discussion

8609.	The number of lines of symmetry of an isosceles triangle is(a) 0(b) 1(c) 2(d) 3
Answer» The number of lines of symmetry of an isosceles triangle is (a) 0 (b) 1 (c) 2 (d) 3

Discussion

8610.	33.Two parallel lines are interested by a tranversal point AandB prove that bisector of co interior angle are perpendicular to each other
Answer» 33.Two parallel lines are interested by a tranversal point AandB prove that bisector of co interior angle are perpendicular to each other

Discussion

8611.	Figure of A'
Answer» Figure of A'

Discussion

8612.	The number of lines of symmetry of an equilateral triangle is(a) 1(b) 2(c) 3(d) 0
Answer» The number of lines of symmetry of an equilateral triangle is (a) 1 (b) 2 (c) 3 (d) 0

Discussion

8613.	Question 12If a pair of opposite sides of a cyclic quadrilateral are equal, then prove that its diagonals are also equal.
Answer» Question 12 If a pair of opposite sides of a cyclic quadrilateral are equal, then prove that its diagonals are also equal.

Discussion

8614.	In the given figure, line l intersects two parallel lines PQ and RS. Then which one of the following is not true?
Answer» In the given figure, line l intersects two parallel lines PQ and RS. Then which one of the following is not true?

Discussion

8615.	35×(3524+101) =
Answer» $\frac{3}{5} \times (\frac{35}{24} + \frac{10}{1})$ =

Discussion

8616.	Arrange the rational numbers −710, 5−8, 2−3 in ascending order.
Answer» Arrange the rational numbers $\frac{- 7}{10}$ , $\frac{5}{- 8}$ , $\frac{2}{- 3}$ in ascending order.

Discussion

8617.	Locate root 41 on the number line
Answer» Locate root 41 on the number line

Discussion

8618.	Question 2 (i)ABCD is a quadrilateral in which AD = BC and ∠DAB=∠CBA(See the given figure). Prove thatΔABD≅ΔBAC
Answer» Question 2 (i) ABCD is a quadrilateral in which AD = BC and $∠ D A B = ∠ C B A$ (See the given figure). Prove that $Δ A B D ≅ Δ B A C$

Discussion

8619.	Total number of lines of symmetry of equilateral triangle is:
Answer» Total number of lines of symmetry of equilateral triangle is:

Discussion

8620.	Question 8A design is made on a rectangular tile of dimensions 50 cm × 70 cm as shown in figure. The design shows 8 triangle, each of sides 26 cm, 17 cm and 25 cm. find the total area of the design and the remaining area of the tiles.
Answer» Question 8 A design is made on a rectangular tile of dimensions 50 cm $\times$ 70 cm as shown in figure. The design shows 8 triangle, each of sides 26 cm, 17 cm and 25 cm. find the total area of the design and the remaining area of the tiles.

Discussion

8621.	334+425−318=?
Answer» $3 \frac{3}{4} + 4 \frac{2}{5} - 3 \frac{1}{8} = ?$

Discussion

8622.	Question 96 What should be subtracted from −23 to obtain the nearest integer?
Answer» Question 96 What should be subtracted from $\frac{- 2}{3}$ to obtain the nearest integer?

8622.

Question 96 What should be subtracted from −23 to obtain the nearest integer?

Answer»

Question 96

What should be subtracted from $\frac{- 2}{3}$ to obtain the nearest integer?

Discussion

8623.	Figure out the number of right angles in the following figure.0
Answer» Figure out the number of right angles in the following figure. 0

Discussion

8624.	You then found 3equal sized dice in your room. You arranged them as shown in the figure and asked Emma to guess the number of dice visible based on the top view. Emma looked from above and answered correctly. She answered ___
Answer» You then found 3equal sized dice in your room. You arranged them as shown in the figure and asked Emma to guess the number of dice visible based on the top view. Emma looked from above and answered correctly. She answered ___

8624.

You then found 3equal sized dice in your room. You arranged them as shown in the figure and asked Emma to guess the number of dice visible based on the top view. Emma looked from above and answered correctly. She answered ___

Answer»

You then found 3equal sized dice in your room. You arranged them as shown in the figure and asked Emma to guess the number of dice visible based on the top view. Emma looked from above and answered correctly. She answered ___

Discussion

8625.	Question 7 Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs50 per meter and trouser material that costs him Rs90per meter. For every 2 meters of the trouser material he buys 3 meters of the shirt material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs36,600 How much trouser material did he buy?
Answer» Question 7 Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs50 per meter and trouser material that costs him Rs90per meter. For every 2 meters of the trouser material he buys 3 meters of the shirt material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs36,600 How much trouser material did he buy?

Discussion

8626.

Journalise the following transactions of Satish, Noida (UP): 2018 Jan 1 Jan 2 Jan 3 Jan 4 Jan 4 Jan 6 Jan 8 Jan 9 Jan 15 Jan 25 Jan 27 Jan 31 Jan 31 Jan 31 Started business with cash Opened Bank Account by cheque from Saving Account Bought goods from M/s. S. Singh & Co., Delhi Introduced additional capital by cheque Purchased computer against cheque from Computer Mart, Noida Paid for pastage Sold goods for cash Sold goods to M/s Sharda & Co., Delhi Paid to M/s S. Singh & Co. Discount allowed by them Sold goods to M/s Ray & Co., Kolkata Received cheque from M/s Sharda & Co. in full settlement of amount due from them Paid for electricity charges Paid rent of building by cheque. Half of the building is used by the proprietor for residential use. Drew for private use ₹ 40,000 60,000 20,000 5,000 15,000 150 4,000 10,000 19,500 500 5,600 9,750 1,000 5000 3,500 CGST and SGST is levied 6% each on intra-state sale and purchase. IGST is levied 12% on inter-state sale and purchase.

Answer» Journalise the following transactions of Satish, Noida (UP):

2018

Jan 1

Jan 2

Jan 3

Jan 4

Jan 4

Jan 6

Jan 8

Jan 9

Jan 15

Jan 25

Jan 27

Jan 31

Jan 31

Jan 31

Started business with cash

Opened Bank Account by cheque from Saving Account

Bought goods from M/s. S. Singh & Co., Delhi

Introduced additional capital by cheque

Purchased computer against cheque from Computer Mart, Noida

Paid for pastage

Sold goods for cash

Sold goods to M/s Sharda & Co., Delhi

Paid to M/s S. Singh & Co.

Discount allowed by them

Sold goods to M/s Ray & Co., Kolkata

Received cheque from M/s Sharda & Co. in

full settlement of amount due from them

Paid for electricity charges

Paid rent of building by cheque. Half of the building is used by the proprietor for residential use.

Drew for private use

₹

40,000

60,000

20,000

5,000

15,000

150

4,000

10,000

19,500

500

5,600

9,750

1,000

5000

3,500

CGST and SGST is levied 6% each on intra-state sale and purchase. IGST is levied 12% on inter-state sale and purchase.

Discussion

8627.	H.C.F of one and any number is ___ .
Answer» H.C.F of one and any number is ___ .

Discussion

8628.	If a = 2 and b = 3, find the value of (ab)a.
Answer» If a = 2 and b = 3, find the value of $(a^{b})^{a}$ .

Discussion

8629.	Out of the numbers from 0 to 10, what fraction of them are: [4 MARKS] 1) Odd numbers 2) Prime numbers 3) Even numbers
Answer» Out of the numbers from 0 to 10, what fraction of them are: [4 MARKS] 1) Odd numbers 2) Prime numbers 3) Even numbers

Discussion

8630.	In the figure, ray AD stands on the line CB, ∠BAD=(2x+10)∘ and ∠CAD=(5x+30)∘, find the valve of x and also write ∠BAD and ∠CAD. [3 MARKS]
Answer» In the figure, ray AD stands on the line CB, $∠ B A D = (2 x + 10)^{\circ}$ and $∠ C A D = (5 x + 30)^{\circ}$ , find the valve of x and also write $∠ B A D$ and $∠ C A D$ . [3 MARKS]

8630.

In the figure, ray AD stands on the line CB, ∠BAD=(2x+10)∘ and ∠CAD=(5x+30)∘, find the valve of x and also write ∠BAD and ∠CAD. [3 MARKS]

Answer»

In the figure, ray AD stands on the line CB, $∠ B A D = (2 x + 10)^{\circ}$ and $∠ C A D = (5 x + 30)^{\circ}$ , find the valve of x and also write $∠ B A D$ and $∠ C A D$ . [3 MARKS]

Discussion

8631.	if abc is right angled at c and cot a= 3/4. find length of ab
Answer» if abc is right angled at c and cot a= 3/4. find length of ab

Discussion

8632.	What do we get if we divide 37 by the reciprocal of 913?
Answer» What do we get if we divide $\frac{3}{7}$ by the reciprocal of $\frac{9}{13}$ ?

Discussion

8633.	Find the third side in the below triangle. What are such triangles called? [3 MARKS]
Answer» Find the third side in the below triangle. What are such triangles called? [3 MARKS]

Discussion

8634.	A rhombus has the same perimeter as the circumference of the circle. If the side of the rhombus is 2.2m, find the radius of the circle.
Answer» A rhombus has the same perimeter as the circumference of the circle. If the side of the rhombus is 2.2m, find the radius of the circle.

Discussion

8635.	Question 4 (ii)Find the square roots of the following numbers by the Prime Factorizationmethod:400
Answer» Question 4 (ii) Find the square roots of the following numbers by the Prime Factorizationmethod: 400

Discussion

8636.	Question 55 In questions 24 to 59, fill in the blanks to make the statements true. To convert a decimal into a percent, we shift the decimal point two places to the ___.
Answer» Question 55 In questions 24 to 59, fill in the blanks to make the statements true. To convert a decimal into a percent, we shift the decimal point two places to the ___.

8636.

Question 55 In questions 24 to 59, fill in the blanks to make the statements true. To convert a decimal into a percent, we shift the decimal point two places to the ___.

Answer»

Question 55

In questions 24 to 59, fill in the blanks to make the statements true.
To convert a decimal into a percent, we shift the decimal point two places to the ___.

Discussion

8637.	If the cost price and the selling price in a transaction are ₹ 2,349 and ₹ 2,539 respectively, then which of the following is true?
Answer» If the cost price and the selling price in a transaction are ₹ 2,349 and ₹ 2,539 respectively, then which of the following is true?

Discussion

8638.	If the numerator of a fraction equivalent to 918 is 27, what is its denominator?
Answer» If the numerator of a fraction equivalent to $\frac{9}{18}$ is 27, what is its denominator?

Discussion

8639.	A tree is broken from the height of 2.5 m of the ground at the distance of 6 m. What was the total height of tree before it broke
Answer» A tree is broken from the height of 2.5 m of the ground at the distance of 6 m. What was the total height of tree before it broke

Discussion

8640.	The least common multiple of two numbers is the (largest/ smallest) number that can be divided evenly by all the given numbers.
Answer» The least common multiple of two numbers is the (largest/ smallest) number that can be divided evenly by all the given numbers.

Discussion

8641.	Question 8 (ii)In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see the given figure). Show that:∠DBC is a right angle.
Answer» Question 8 (ii) In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see the given figure). Show that: $∠ D B C i s a r i g h t a n g l e .$

Discussion

8642.	The numerical value of (45p4q2r)(3q2rp3) is ___, if the value of 'p' is given as 2.
Answer» The numerical value of $\frac{(45 p^{4} q^{2} r)}{(3 q^{2} r p^{3})}$ is ___, if the value of 'p' is given as 2.

Discussion

8643.	Each circle is divided into four equal parts, Choose the fraction that would be equivalent to two wholes.
Answer» Each circle is divided into four equal parts, Choose the fraction that would be equivalent to two wholes.

Discussion

8644.	Match the following exponents with their simplified form
Answer» Match the following exponents with their simplified form

Discussion

8645.	ABCD is a trapezium in which AB \| \| CD and AD =BC (see the given figure). Show that ΔABC≅ΔBAD.
Answer» ABCD is a trapezium in which AB \| \| CD and AD =BC (see the given figure). Show that $Δ A B C ≅ Δ B A D$ .

Discussion

8646.	0×__=(-77
Answer» 0×__=(-77

Discussion

8647.	Dylan is trying to plot a histogram on his personal computer with 105 data points. If he decides to group 15 data points at a time, the number of rectangular bars he creates is .
Answer» Dylan is trying to plot a histogram on his personal computer with 105 data points. If he decides to group 15 data points at a time, the number of rectangular bars he creates is .

Discussion

8648.	Which of the following can be used to select the entire column in a worksheet?
Answer» Which of the following can be used to select the entire column in a worksheet?

Discussion

8649.	Can a polyhedron have 8 faces, 26 edges and 16 vertices?
Answer» Can a polyhedron have 8 faces, 26 edges and 16 vertices?

Discussion

8650.	Question 75A polyhedron has 20 faces and 12 vertices. Find the edges of the polyhedron.
Answer» Question 75 A polyhedron has 20 faces and 12 vertices. Find the edges of the polyhedron.

Discussion

Explore topic-wise InterviewSolutions in .

Construct a triangle XYZ in which XY = YZ = 4.5 cm and ZX = 5.4 cm. Draw the circumcircle of the triangle.

Question 3 (vii) Subtract: 5a2−7ab+5b2 from 3ab−2a2−2b2

Three cubes each with 2cm edge are placed side by side to form a cuboid. Sketch an obliqueor isometric sketch of this cuboid.

45. If a+b+c =0 then find the value of a+b+c

84.Triangle ABC and triangle BDE are two similar triangles such that D is the midpoint of BC.Find the ratio of the areas of the triangle ABC and BDE.

Choose the correct equivalent of 93 from the given pairs:

Which of the following tests cannot be undertaken for checking the construction of triangles?

Sides of two similar triangles are in the ratio of 4: 9. Areas of these triangles are in the ratio___.

The number of lines of symmetry of an isosceles triangle is(a) 0(b) 1(c) 2(d) 3

33.Two parallel lines are interested by a tranversal point AandB prove that bisector of co interior angle are perpendicular to each other

Figure of A'

The number of lines of symmetry of an equilateral triangle is(a) 1(b) 2(c) 3(d) 0

Question 12If a pair of opposite sides of a cyclic quadrilateral are equal, then prove that its diagonals are also equal.

In the given figure, line l intersects two parallel lines PQ and RS. Then which one of the following is not true?

35×(3524+101) =

Arrange the rational numbers −710, 5−8, 2−3 in ascending order.

Locate root 41 on the number line

Question 2 (i)ABCD is a quadrilateral in which AD = BC and ∠DAB=∠CBA(See the given figure). Prove thatΔABD≅ΔBAC

Total number of lines of symmetry of equilateral triangle is:

Question 8A design is made on a rectangular tile of dimensions 50 cm × 70 cm as shown in figure. The design shows 8 triangle, each of sides 26 cm, 17 cm and 25 cm. find the total area of the design and the remaining area of the tiles.

334+425−318=?

Question 96 What should be subtracted from −23 to obtain the nearest integer?

Figure out the number of right angles in the following figure.0

You then found 3equal sized dice in your room. You arranged them as shown in the figure and asked Emma to guess the number of dice visible based on the top view. Emma looked from above and answered correctly. She answered ___

H.C.F of one and any number is ___ .

If a = 2 and b = 3, find the value of (ab)a.

Out of the numbers from 0 to 10, what fraction of them are: [4 MARKS] 1) Odd numbers 2) Prime numbers 3) Even numbers

In the figure, ray AD stands on the line CB, ∠BAD=(2x+10)∘ and ∠CAD=(5x+30)∘, find the valve of x and also write ∠BAD and ∠CAD. [3 MARKS]

if abc is right angled at c and cot a= 3/4. find length of ab

What do we get if we divide 37 by the reciprocal of 913?

Find the third side in the below triangle. What are such triangles called? [3 MARKS]

A rhombus has the same perimeter as the circumference of the circle. If the side of the rhombus is 2.2m, find the radius of the circle.

Question 4 (ii)Find the square roots of the following numbers by the Prime Factorizationmethod:400

Question 55 In questions 24 to 59, fill in the blanks to make the statements true. To convert a decimal into a percent, we shift the decimal point two places to the ___.

If the cost price and the selling price in a transaction are ₹ 2,349 and ₹ 2,539 respectively, then which of the following is true?

If the numerator of a fraction equivalent to 918 is 27, what is its denominator?

A tree is broken from the height of 2.5 m of the ground at the distance of 6 m. What was the total height of tree before it broke

The least common multiple of two numbers is the (largest/ smallest) number that can be divided evenly by all the given numbers.

Question 8 (ii)In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see the given figure). Show that:∠DBC is a right angle.

The numerical value of (45p4q2r)(3q2rp3) is ___, if the value of 'p' is given as 2.

Each circle is divided into four equal parts, Choose the fraction that would be equivalent to two wholes.

Match the following exponents with their simplified form

ABCD is a trapezium in which AB | | CD and AD =BC (see the given figure). Show that ΔABC≅ΔBAD.

0×__=(-77

Dylan is trying to plot a histogram on his personal computer with 105 data points. If he decides to group 15 data points at a time, the number of rectangular bars he creates is .

Which of the following can be used to select the entire column in a worksheet?

Can a polyhedron have 8 faces, 26 edges and 16 vertices?

Question 75A polyhedron has 20 faces and 12 vertices. Find the edges of the polyhedron.