19743 + Interview Questions in Mathematics Page 75 InterviewSolution

3701.	(a) Investigate and find out the order of rotational symmetry of the below figure. (b) How many lines of symmetry does a parallelogram have? [3 MARKS]
Answer» (a) Investigate and find out the order of rotational symmetry of the below figure. (b) How many lines of symmetry does a parallelogram have? [3 MARKS]

3701.

(a) Investigate and find out the order of rotational symmetry of the below figure. (b) How many lines of symmetry does a parallelogram have? [3 MARKS]

Answer»

(a) Investigate and find out the order of rotational symmetry of the below figure.

(b) How many lines of symmetry does a parallelogram have?
[3 MARKS]

Discussion

3702.	Question 91Solve the following question:Using prime factorization, find which of the following are perfect squares.a) 484b) 11250c) 841d) 729
Answer» Question 91 Solve the following question: Using prime factorization, find which of the following are perfect squares. a) 484 b) 11250 c) 841 d) 729

3702.

Question 91Solve the following question:Using prime factorization, find which of the following are perfect squares.a) 484b) 11250c) 841d) 729

Answer»

Question 91

Solve the following question:

Using prime factorization, find which of the following are perfect squares.

a) 484

b) 11250

c) 841

d) 729

Discussion

3703.	Which all terms are used in the following statement x+3=8 ?
Answer» Which all terms are used in the following statement $x + 3 = 8 ?$

Discussion

3704.	Find the circumference of circles whose radii are(1) 21 cm(2) 56 cm(3) 4.2 cm(4) 10.5 cm
Answer» Find the circumference of circles whose radii are (1) 21 cm (2) 56 cm (3) 4.2 cm (4) 10.5 cm

3704.

Find the circumference of circles whose radii are(1) 21 cm(2) 56 cm(3) 4.2 cm(4) 10.5 cm

Answer»

Find the circumference of circles whose radii are

(1) 21 cm

(2) 56 cm

(3) 4.2 cm

(4) 10.5 cm

Discussion

3705.	The median of the data 5, 7, 9, 10, 11 is(a) 7 (b) 9 (c) 11 (d) 10
Answer» The median of the data 5, 7, 9, 10, 11 is (a) 7 (b) 9 (c) 11 (d) 10

Discussion

3706.	What are the five rational numbers between -2 and 1
Answer» What are the five rational numbers between -2 and 1

Discussion

3707.	An equivalent fraction of 34, with a denominator more than 6 is
Answer» $An equivalent fraction of 34, with a denominator more than 6 is$

Discussion

3708.	Henry and four of his friends are playing a game with marbles. There are a total of 125 marbles. How many marbles will each player receive at the start of a new game if all the marbles are distributed evenly?
Answer» Henry and four of his friends are playing a game with marbles. There are a total of 125 marbles. How many marbles will each player receive at the start of a new game if all the marbles are distributed evenly?

Discussion

3709.	Derive the equation a=omega ^2 R
Answer» Derive the equation a=omega ^2 R

Discussion

3710.	Solve the inequality: 5a−4<2a+8
Answer» Solve the inequality: $5 a - 4 < 2 a + 8$

Discussion

3711.

Enter the following transactions in proper Subsidiary Books and post them into Ledger :− 2017 March 2 Purchased from Navrang Traders for ₹ 8,300 3 Sold goods to Rohan for ₹ 3,200 5 Bought of Ruchi Traders for ₹ 12,100 8 Rohan returns the goods for ₹ 600 10 Purchased goods from Jaipur Stores of the list price of ₹ 15,400 less 5% Trade Discount 12 Sold goods to Arun Traders for ₹ 18,000 less 15% Trade Discount 12 Bought of Amit Traders for ₹ 10,000 16 Purchased Machinery from Kirloskar Ltd. ₹ 20,000 18 Returned goods to Jaipur Stores for ₹ 800 less 5% Trade Discount. 19 Arun Traders returned goods for ₹ 3,000, less 15% Trade Discount 20 Sales to Kalpna & Co. for ₹ 14,700 22 Purchased goods from Navrang Traders ₹ 25,000 25 Returns outward to Navrang Traders for ₹ 1,200 26 Sales to Rupa Traders for ₹ 10,000 less 10% Trade Discount 29 Returns inward from Kalpana & Co. for ₹ 2,000

Answer» Enter the following transactions in proper Subsidiary Books and post them into Ledger :−

2017
March 2	Purchased from Navrang Traders for ₹ 8,300
3	Sold goods to Rohan for ₹ 3,200
5	Bought of Ruchi Traders for ₹ 12,100
8	Rohan returns the goods for ₹ 600
10	Purchased goods from Jaipur Stores of the list price of ₹ 15,400 less 5% Trade Discount
12	Sold goods to Arun Traders for ₹ 18,000 less 15% Trade Discount
12	Bought of Amit Traders for ₹ 10,000
16	Purchased Machinery from Kirloskar Ltd. ₹ 20,000
18	Returned goods to Jaipur Stores for ₹ 800 less 5% Trade Discount.
19	Arun Traders returned goods for ₹ 3,000, less 15% Trade Discount
20	Sales to Kalpna & Co. for ₹ 14,700
22	Purchased goods from Navrang Traders ₹ 25,000
25	Returns outward to Navrang Traders for ₹ 1,200
26	Sales to Rupa Traders for ₹ 10,000 less 10% Trade Discount
29	Returns inward from Kalpana & Co. for ₹ 2,000

Discussion

3712.	Examine if the following are true statements: (i) The cube can cast a shadow in the shape of a rectangle. (ii) The cube can cast a shadow in the shape of a hexagon.
Answer» Examine if the following are true statements: (i) The cube can cast a shadow in the shape of a rectangle. (ii) The cube can cast a shadow in the shape of a hexagon.

Discussion

3713.	Which of the following relations is not a function?
Answer» Which of the following relations is not a function?

Discussion

3714.	For equation y + 8 =13, statement is
Answer» For equation y + 8 =13, statement is

Discussion

3715.	Rajan has 50 notes of ₹ 50 with him. Rehaan has 20 notes of ₹ 100. What is the ratio between the overall money that Rajan and Rehaan have respectively?
Answer» Rajan has 50 notes of ₹ 50 with him. Rehaan has 20 notes of ₹ 100. What is the ratio between the overall money that Rajan and Rehaan have respectively?

Discussion

3716.	Question 72 (c) Find the value of (−7)2×7−6−8
Answer» Question 72 (c) Find the value of $(- 7)^{2 \times 7 - 6 - 8}$

3716.

Question 72 (c) Find the value of (−7)2×7−6−8

Answer»

Question 72 (c)

Find the value of
$(- 7)^{2 \times 7 - 6 - 8}$

Discussion

3717.	Question 73 A polyhedron has 60 edges and 40 vertices. Find the number of its faces.
Answer» Question 73 A polyhedron has 60 edges and 40 vertices. Find the number of its faces.

Discussion

3718.	Two triangles are congruent if two angles and the side included between them in one of the triangles are equal to the corresponding angles and the side included between them of the other triangle. This condition is:
Answer» Two triangles are congruent if two angles and the side included between them in one of the triangles are equal to the corresponding angles and the side included between them of the other triangle. This condition is:

Discussion

3719.	Following graph shows monthly expenditure (in ₹) of a family. i) What is the expenditure in the month of March?ii) Find the number of months for which the monthly expenditure is more than ₹1,000.iii) What is the maximum expenditure from the given graph?
Answer» Following graph shows monthly expenditure (in ₹) of a family. i) What is the expenditure in the month of March? ii) Find the number of months for which the monthly expenditure is more than ₹1,000. iii) What is the maximum expenditure from the given graph?

3719.

Following graph shows monthly expenditure (in ₹) of a family. i) What is the expenditure in the month of March?ii) Find the number of months for which the monthly expenditure is more than ₹1,000.iii) What is the maximum expenditure from the given graph?

Answer»

Following graph shows monthly expenditure (in ₹) of a family.

i) What is the expenditure in the month of March?

ii) Find the number of months for which the monthly expenditure is more than ₹1,000.

iii) What is the maximum expenditure from the given graph?

Discussion

3720.	Decimal form of 34 is
Answer» Decimal form of $\frac{3}{4}$ is

Discussion

3721.

Question 2 (vii) Multiply and reduce to lowest form (if possible): 45×127

Answer»

Question 2 (vii)

Multiply and reduce to lowest form (if possible):

\frac{4}{5} \times \frac{12}{7}

Discussion

3722.	What is the Brewsteris law? Derive the formula for Brewsters angle?
Answer» What is the Brewsteris law? Derive the formula for Brewsters angle?

Discussion

3723.	Question 2Evaluate the following products without multiplying directly:(i) 100 × 107 (ii) 95 × 96(iii) 104 × 96
Answer» Question 2 Evaluate the following products without multiplying directly: (i) 100 $\times$ 107 (ii) 95 $\times$ 96 (iii) 104 $\times$ 96

Discussion

3724.	If the expenditures of Companies X and Y in 1996 were equal and the total income of the two Companies in 1996 was Rs. 342 crores, what was the total profit of the two Companies together in 1996? (Profit = Income - Expenditure)
Answer» If the expenditures of Companies X and Y in 1996 were equal and the total income of the two Companies in 1996 was Rs. 342 crores, what was the total profit of the two Companies together in 1996? (Profit = Income - Expenditure)

3724.

If the expenditures of Companies X and Y in 1996 were equal and the total income of the two Companies in 1996 was Rs. 342 crores, what was the total profit of the two Companies together in 1996? (Profit = Income - Expenditure)

Answer»

If the expenditures of Companies X and Y in 1996 were equal and the total income of the two Companies in 1996 was Rs. 342 crores, what was the total profit of the two Companies together in 1996? (Profit = Income - Expenditure)

Discussion

3725.	If xy=(32)−2×(32)0, then find the value of (xy)−2.
Answer» If $\frac{x}{y} = (\frac{3}{2})^{- 2} \times (\frac{3}{2})^{0}$ , then find the value of $(\frac{x}{y})^{- 2}$ .

Discussion

3726.	Question 1The following are the marks (out of 100) of 60 students in Mathematics.16, 13, 5, 80, 86, 7, 51, 48, 24, 56, 70, 19, 61, 17, 16, 36, 34, 42, 34, 35,72, 55, 75, 31, 52, 28, 72, 97, 74, 45, 62, 68, 86, 35, 85, 36, 81, 75, 55,26, 95, 31, 7, 78, 92, 62, 52, 56, 15, 63, 25, 36, 54, 44, 47, 27, 72, 17, 4, 30.Construct a grouped frequency distribution table with width 10 of each class starting from 0 - 9.
Answer» Question 1 The following are the marks (out of 100) of 60 students in Mathematics. 16, 13, 5, 80, 86, 7, 51, 48, 24, 56, 70, 19, 61, 17, 16, 36, 34, 42, 34, 35, 72, 55, 75, 31, 52, 28, 72, 97, 74, 45, 62, 68, 86, 35, 85, 36, 81, 75, 55, 26, 95, 31, 7, 78, 92, 62, 52, 56, 15, 63, 25, 36, 54, 44, 47, 27, 72, 17, 4, 30. Construct a grouped frequency distribution table with width 10 of each class starting from 0 - 9.

Discussion

3727.	Consider the letters of the word ′MATHEMATICS′.The possible number of words that can be formed by taking all letters at a time such that in each word both M′s are together and both T′s are together but both A′s are not together, is
Answer» Consider the letters of the word $^{'} M A T H E M A T I C S^{'}$ . The possible number of words that can be formed by taking all letters at a time such that in each word both $M^{'} s$ are together and both $T^{'} s$ are together but both $A^{'} s$ are not together, is

Discussion

3728.	(a) Lines AB & CD are parallel and cut by a transversal t. List the alternate, corresponding, co-interior and vertically opposite angles. (b) (i) l and m are parallel lines and t is the transversal. Find x (ii) l and m are parallel lines and t is the transversal. Find x. [4 MARKS]
Answer» (a) Lines AB & CD are parallel and cut by a transversal t. List the alternate, corresponding, co-interior and vertically opposite angles. (b) (i) l and m are parallel lines and t is the transversal. Find x (ii) l and m are parallel lines and t is the transversal. Find x. [4 MARKS]

3728.

(a) Lines AB & CD are parallel and cut by a transversal t. List the alternate, corresponding, co-interior and vertically opposite angles. (b) (i) l and m are parallel lines and t is the transversal. Find x (ii) l and m are parallel lines and t is the transversal. Find x. [4 MARKS]

Answer»

(a) Lines AB & CD are parallel and cut by a transversal t. List the alternate, corresponding, co-interior and vertically opposite angles.

(b) (i)

l and m are parallel lines and t is the transversal. Find x

(ii)

l and m are parallel lines and t is the transversal. Find x.
[4 MARKS]

Discussion

3729.	If a coin is tossed 3 times, what is the probability of getting atleast one tail?
Answer» If a coin is tossed 3 times, what is the probability of getting atleast one tail?

Discussion

3730.	There are 8 pipes which take 26 hours to fill a big drum. But when the operations were supposed to begin, two pipes were damaged. It so happened that only one could be retreived back to usable state. What will be the time taken to fill the drum with the existing pipes?
Answer» There are 8 pipes which take 26 hours to fill a big drum. But when the operations were supposed to begin, two pipes were damaged. It so happened that only one could be retreived back to usable state. What will be the time taken to fill the drum with the existing pipes?

Discussion

3731.	Tap the bubble with correct inequality relation.
Answer» Tap the bubble with correct inequality relation.

Discussion

3732.	Complete the missing algebraic expression. Add the adjacent cells to get the value in row above.
Answer» Complete the missing algebraic expression. Add the adjacent cells to get the value in row above.

3732.

Complete the missing algebraic expression. Add the adjacent cells to get the value in row above.

Answer»

Complete the missing algebraic expression. Add the adjacent cells to get the value in row above.

Discussion

3733.	For constructing ΔLMN exactly identical to ΔABC, choose from the options, the measurements required.
Answer» For constructing $Δ$ LMN exactly identical to $Δ$ ABC, choose from the options, the measurements required.

3733.

For constructing ΔLMN exactly identical to ΔABC, choose from the options, the measurements required.

Answer»

For constructing $Δ$ LMN exactly identical to $Δ$ ABC, choose from the options, the measurements required.

Discussion

3734.	A table _______ runs horizontally in a line across a table.
Answer» A table _______ runs horizontally in a line across a table.

Discussion

3735.	Is 40500 a perfect cube? If not
Answer» Is 40500 a perfect cube? If not

Discussion

3736.	A piece of thread tied at two ends without any slack will be ___
Answer» A piece of thread tied at two ends without any slack will be ___

Discussion

3737.	a 700 g solid cube having an edgeof length 10cm floats in water.How much volume of the cube is outsidethe water?find the volume of the solid
Answer» a 700 g solid cube having an edgeof length 10cm floats in water.How much volume of the cube is outsidethe water?find the volume of the solid

Discussion

3738.	LCM of two numbers x and y is 720 and the LCM of numbers 12x and 5y is also 720. the number y is(A)180(B)144(C)120(D)90
Answer» LCM of two numbers x and y is 720 and the LCM of numbers 12x and 5y is also 720. the number y is (A)180 (B)144 (C)120 (D)90

Discussion

3739.	Question 16 When we cut a corner of a cube as shown in the figure, we get the cutout piece as a) Square pyramid b) Trapezium prism c) Triangular pyramid d) A triangle
Answer» Question 16 When we cut a corner of a cube as shown in the figure, we get the cutout piece as a) Square pyramid b) Trapezium prism c) Triangular pyramid d) A triangle

3739.

Question 16 When we cut a corner of a cube as shown in the figure, we get the cutout piece as a) Square pyramid b) Trapezium prism c) Triangular pyramid d) A triangle

Answer»

Question 16
When we cut a corner of a cube as shown in the figure, we get the cutout piece as

a) Square pyramid

b) Trapezium prism

c) Triangular pyramid

d) A triangle

Discussion

3740.	47. In fraction twice the numerator is 2 more than denominator . If 3 is added to numerator and denominator the new fraction is 2/3. Find original fraction
Answer» 47. In fraction twice the numerator is 2 more than denominator . If 3 is added to numerator and denominator the new fraction is 2/3. Find original fraction

Discussion

3741.	Group all the like terms together.7x2,8x4,12xy,6x3,31x,16yx,44x5,31xy.
Answer» Group all the like terms together. $7 x^{2}, 8 x^{4}, 12 x y, 6 x^{3}, 31 x, 16 y x, 44 x^{5}, 31 x y$ .

Discussion

3742.	Benny thinks of a number , subtracts 18 from it and divides the difference by 3.The result is -4.What is the number
Answer» Benny thinks of a number , subtracts 18 from it and divides the difference by 3.The result is -4.What is the number

Discussion

3743.	Question 9 Points (1, - 1) (2, - 2) (4, -5) and (-3, - 4) A) Lie in II quadrant B) Lie in III quadrant C) Lie in IV quadrant D) Do not lie in the same quadrant
Answer» Question 9 Points (1, - 1) (2, - 2) (4, -5) and (-3, - 4) A) Lie in II quadrant B) Lie in III quadrant C) Lie in IV quadrant D) Do not lie in the same quadrant

Discussion

3744.

The monthly expenditure of a small family is as follows. Draw a sector graph to represent the dataItems of expenditure Amount spent (Rs) (a) Food and fuel 1,250 (b) Clothing 400 (c) Rent 800 (d) Education 550 (e) Savings 600

Answer»

The monthly expenditure of a small family is as follows. Draw a sector graph to represent the data

Items of expenditure		Amount spent (Rs)
(a)	Food and fuel		1,250
(b)	Clothing		400
(c)	Rent		800
(d)	Education		550
(e)	Savings		600

Discussion

3745.	21. In the given figure in triangle QRP if AB parallel to PR then prove that QR + QP+ QM over QB+QN+QA = QP over QA
Answer» 21. In the given figure in triangle QRP if AB parallel to PR then prove that QR + QP+ QM over QB+QN+QA = QP over QA

Discussion

3746.	Question 4 How many triangles can be drawn having its angles as 45∘, 64∘ and 72∘? Give the reason for your answer.
Answer» Question 4 How many triangles can be drawn having its angles as $45^{\circ}, 64^{\circ} a n d 72^{\circ}$ ? Give the reason for your answer.

Discussion

3747.	Find the equation of line XY.
Answer» Find the equation of line $X Y$ .

Discussion

3748.

Find the speed.The distance travelled is 500m at 10seconds.

Answer»

Find the speed.

The distance travelled is 500m at 10seconds.

Discussion

3749.	A shopkeeper uses a 25% markup rate on the refrigerator. If the price of a refrigerator is $4500. Calculate the selling price of a refrigerator?
Answer» A shopkeeper uses a 25% markup rate on the refrigerator. If the price of a refrigerator is $4500. Calculate the selling price of a refrigerator?

Discussion

3750.	A __ connects a vertex of a triangle to the mid-point of the opposite side.
Answer» A __ connects a vertex of a triangle to the mid-point of the opposite side.

Discussion

Explore topic-wise InterviewSolutions in .

(a) Investigate and find out the order of rotational symmetry of the below figure. (b) How many lines of symmetry does a parallelogram have? [3 MARKS]

Question 91Solve the following question:Using prime factorization, find which of the following are perfect squares.a) 484b) 11250c) 841d) 729

Which all terms are used in the following statement x+3=8 ?

Find the circumference of circles whose radii are(1) 21 cm(2) 56 cm(3) 4.2 cm(4) 10.5 cm

The median of the data 5, 7, 9, 10, 11 is(a) 7 (b) 9 (c) 11 (d) 10

What are the five rational numbers between -2 and 1

An equivalent fraction of 34, with a denominator more than 6 is

Henry and four of his friends are playing a game with marbles. There are a total of 125 marbles. How many marbles will each player receive at the start of a new game if all the marbles are distributed evenly?

Derive the equation a=omega ^2 R

Solve the inequality: 5a−4&lt;2a+8

Examine if the following are true statements: (i) The cube can cast a shadow in the shape of a rectangle. (ii) The cube can cast a shadow in the shape of a hexagon.

Which of the following relations is not a function?

For equation y + 8 =13, statement is

Rajan has 50 notes of ₹ 50 with him. Rehaan has 20 notes of ₹ 100. What is the ratio between the overall money that Rajan and Rehaan have respectively?

Question 72 (c) Find the value of (−7)2×7−6−8

Question 73 A polyhedron has 60 edges and 40 vertices. Find the number of its faces.

Two triangles are congruent if two angles and the side included between them in one of the triangles are equal to the corresponding angles and the side included between them of the other triangle. This condition is:

Following graph shows monthly expenditure (in ₹) of a family. i) What is the expenditure in the month of March?ii) Find the number of months for which the monthly expenditure is more than ₹1,000.iii) What is the maximum expenditure from the given graph?

Decimal form of 34 is

Question 2 (vii) Multiply and reduce to lowest form (if possible): 45×127

What is the Brewsteris law? Derive the formula for Brewsters angle?

Question 2Evaluate the following products without multiplying directly:(i) 100 × 107 (ii) 95 × 96(iii) 104 × 96

If the expenditures of Companies X and Y in 1996 were equal and the total income of the two Companies in 1996 was Rs. 342 crores, what was the total profit of the two Companies together in 1996? (Profit = Income - Expenditure)

If xy=(32)−2×(32)0, then find the value of (xy)−2.

Consider the letters of the word ′MATHEMATICS′.The possible number of words that can be formed by taking all letters at a time such that in each word both M′s are together and both T′s are together but both A′s are not together, is

(a) Lines AB &amp; CD are parallel and cut by a transversal t. List the alternate, corresponding, co-interior and vertically opposite angles. (b) (i) l and m are parallel lines and t is the transversal. Find x (ii) l and m are parallel lines and t is the transversal. Find x. [4 MARKS]

If a coin is tossed 3 times, what is the probability of getting atleast one tail?

There are 8 pipes which take 26 hours to fill a big drum. But when the operations were supposed to begin, two pipes were damaged. It so happened that only one could be retreived back to usable state. What will be the time taken to fill the drum with the existing pipes?

Tap the bubble with correct inequality relation.

Complete the missing algebraic expression. Add the adjacent cells to get the value in row above.

For constructing ΔLMN exactly identical to ΔABC, choose from the options, the measurements required.

A table _______ runs horizontally in a line across a table.

Is 40500 a perfect cube? If not

A piece of thread tied at two ends without any slack will be ___

a 700 g solid cube having an edgeof length 10cm floats in water.How much volume of the cube is outsidethe water?find the volume of the solid

LCM of two numbers x and y is 720 and the LCM of numbers 12x and 5y is also 720. the number y is(A)180(B)144(C)120(D)90

Question 16 When we cut a corner of a cube as shown in the figure, we get the cutout piece as a) Square pyramid b) Trapezium prism c) Triangular pyramid d) A triangle

47. In fraction twice the numerator is 2 more than denominator . If 3 is added to numerator and denominator the new fraction is 2/3. Find original fraction

Group all the like terms together.7x2,8x4,12xy,6x3,31x,16yx,44x5,31xy.

Benny thinks of a number , subtracts 18 from it and divides the difference by 3.The result is -4.What is the number

Question 9 Points (1, - 1) (2, - 2) (4, -5) and (-3, - 4) A) Lie in II quadrant B) Lie in III quadrant C) Lie in IV quadrant D) Do not lie in the same quadrant

The monthly expenditure of a small family is as follows. Draw a sector graph to represent the dataItems of expenditure Amount spent (Rs) (a) Food and fuel 1,250 (b) Clothing 400 (c) Rent 800 (d) Education 550 (e) Savings 600

21. In the given figure in triangle QRP if AB parallel to PR then prove that QR + QP+ QM over QB+QN+QA = QP over QA

Question 4 How many triangles can be drawn having its angles as 45∘, 64∘ and 72∘? Give the reason for your answer.

Find the equation of line XY.

Find the speed.The distance travelled is 500m at 10seconds.

A shopkeeper uses a 25% markup rate on the refrigerator. If the price of a refrigerator is $4500. Calculate the selling price of a refrigerator?

A __ connects a vertex of a triangle to the mid-point of the opposite side.

Solve the inequality: 5a−4<2a+8

(a) Lines AB & CD are parallel and cut by a transversal t. List the alternate, corresponding, co-interior and vertically opposite angles. (b) (i) l and m are parallel lines and t is the transversal. Find x (ii) l and m are parallel lines and t is the transversal. Find x. [4 MARKS]