19743 + Interview Questions in Mathematics Page 40 InterviewSolution

1951.	Which of the following equations has a solution of x = 3 ?
Answer» $Which of the following equations has a solution of x = 3 ?$

Discussion

1952.	Preeti has a rectangular field that is 10 ft long and 2 ft wide and she wants to cover it with soil. One bag of soil can cover 10ft2. How many bags will she need to cover the entire field?
Answer» Preeti has a rectangular field that is 10 ft long and 2 ft wide and she wants to cover it with soil. One bag of soil can cover $10 {f t}^{2}$ . How many bags will she need to cover the entire field?

Discussion

1953.	In a △ABC, a,b,c are the sides of the triangle opposite to the angles A,B,C respectively. If b+c=3a, then cotB2⋅cotC2 has the value equal to
Answer» In a $△ A B C,$ $a, b, c$ are the sides of the triangle opposite to the angles $A, B, C$ respectively. If $b + c = 3 a,$ then $cot \frac{B}{2} \cdot cot \frac{C}{2}$ has the value equal to

Discussion

1954.	Find the square root of 324 using prime factorization.
Answer» Find the square root of $324$ using prime factorization.

Discussion

1955.	Question 88In the given figures, identify the different shapes involved.
Answer» Question 88 In the given figures, identify the different shapes involved.

Discussion

1956.	Which is greater:(i) 23 or 32(ii) 25 or 52
Answer» Which is greater: (i) $2^{3}$ or $3^{2}$ (ii) $2^{5}$ or $5^{2}$

Discussion

1957.	Which of the following is not a pythogorean triplet?
Answer» Which of the following is not a pythogorean triplet?

Discussion

1958.	The volume of a cuboid of height 18 cm, length 10 cm, and breadth 5 cm is equal to _________.
Answer» The volume of a cuboid of height 18 cm, length 10 cm, and breadth 5 cm is equal to _________.

Discussion

1959.	In the following figure, BQ is a median of the given triangle. If AQ = 2 cm, find the length of the side AC. cm
Answer» In the following figure, BQ is a median of the given triangle. If AQ = 2 cm, find the length of the side AC. cm

Discussion

1960.	Which of the following polynomials has 1 as a zero?
Answer» Which of the following polynomials has 1 as a zero?

Discussion

1961.	Weight of Abraham is 20 kg and his father's weight is 60 kg. Find the ratio of weight of Abraham and his father. Express it in the simplest form
Answer» Weight of Abraham is 20 kg and his father's weight is 60 kg. Find the ratio of weight of Abraham and his father. Express it in the simplest form

Discussion

1962.	In each of the examples given below, a pair of triangles is shown. Equal parts of triangles in each pair are marked with the same signs. Observe the figures and state the test by which the triangles in each pair are congruent.(i) By . . . . . . . . . . test∆ABC ≅ ∆PQR(ii) By . . . . . . . . . . test∆XYZ ≅ ∆LMN(iii) By . . . . . . . . . . test∆LMN ≅ ∆PTR(iv) By . . . . . . . . . . test ∆LMN ≅ ∆ PTR
Answer» In each of the examples given below, a pair of triangles is shown. Equal parts of triangles in each pair are marked with the same signs. Observe the figures and state the test by which the triangles in each pair are congruent. (i) By . . . . . . . . . . test $∆$ ABC $≅ ∆$ PQR (ii) By . . . . . . . . . . test $∆$ XYZ $≅ ∆$ LMN (iii) By . . . . . . . . . . test $∆$ LMN $≅ ∆$ PTR (iv) By . . . . . . . . . . test $∆$ LMN $≅ ∆$ PTR

Discussion

1963.	Give an example for commutative property of multiplication.
Answer» Give an example for commutative property of multiplication.

Discussion

1964.	A shopkeeper sells balloons in the pack of 40, Candles in a pack of 16 and Candies in pack of 30. Justina wants to celebrate her son's birthday for which these things are required. What will be the least total number of all these things that Justina should buy so that there will be one balloon for each candle and each candy?
Answer» A shopkeeper sells balloons in the pack of 40, Candles in a pack of 16 and Candies in pack of 30. Justina wants to celebrate her son's birthday for which these things are required. What will be the least total number of all these things that Justina should buy so that there will be one balloon for each candle and each candy?

Discussion

1965.	Integers can be classified as:
Answer» Integers can be classified as:

Discussion

1966.	Find thevalue of the unknown interior angle x in the followingfigures:
Answer» Find the value of the unknown interior angle x in the following figures:

1966.

Find thevalue of the unknown interior angle x in the followingfigures:

Answer»

Find the
value of the unknown interior angle x in the following
figures:

Discussion

1967.	The sum of two integers is -56 and their quotient is 7. The numbers are A) -56, 49 B) 56, 49 C) -56, -49 D) 56, -49 The answer is -49 and -7, which is not provided in the options.
Answer» The sum of two integers is -56 and their quotient is 7. The numbers are A) -56, 49 B) 56, 49 C) -56, -49 D) 56, -49 The answer is -49 and -7, which is not provided in the options.

1967.

The sum of two integers is -56 and their quotient is 7. The numbers are A) -56, 49 B) 56, 49 C) -56, -49 D) 56, -49 The answer is -49 and -7, which is not provided in the options.

Answer»

The sum of two integers is -56 and their quotient is 7. The numbers are
A) -56, 49
B) 56, 49
C) -56, -49
D) 56, -49

The answer is -49 and -7, which is not provided in the options.

Discussion

1968.	In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ, respectively. If ∠POS = x, find ∠ROT.
Answer» In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of $∠$ POS and $∠$ SOQ, respectively. If $∠$ POS = $x$ , find $∠$ ROT.

1968.

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ, respectively. If ∠POS = x, find ∠ROT.

Answer»

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of $∠$ POS and $∠$ SOQ, respectively. If $∠$ POS = $x$ , find $∠$ ROT.

Discussion

1969.	21. Why null set is treated as any set,As per the definition of set,It include any elements which are distinct. So,why we read null set under set.As it doesn't include any set
Answer» 21. Why null set is treated as any set,As per the definition of set,It include any elements which are distinct. So,why we read null set under set.As it doesn't include any set

Discussion

1970.	A piece of paper containing two identical squares is folded into half twice. If the final shape obtained is a right-angled triangle, then which of the following cannot be the shape when the paper is unfolded?
Answer» A piece of paper containing two identical squares is folded into half twice. If the final shape obtained is a right-angled triangle, then which of the following cannot be the shape when the paper is unfolded?

Discussion

1971.	Write the decimal number represented by the points A, B, C, D on the given number line?
Answer» Write the decimal number represented by the points A, B, C, D on the given number line?

1971.

Write the decimal number represented by the points A, B, C, D on the given number line?

Answer»

Write the decimal number represented by the points A, B, C, D on the given number line?

Discussion

1972.	What Are the rational numbers between -1 and 0
Answer» What Are the rational numbers between -1 and 0

Discussion

1973.	Question 80 If 45 is added to half a number, the result is triple the number. Find the number.
Answer» Question 80 If 45 is added to half a number, the result is triple the number. Find the number.

1973.

Question 80 If 45 is added to half a number, the result is triple the number. Find the number.

Answer»

Question 80

If 45 is added to half a number, the result is triple the number. Find the number.

Discussion

1974.	Question 7 Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger of dimensions 25 cm×20 cm×5 cm and the smaller of dimension 15 cm×12 cm×5 cm. For all the overlaps, 5% of the total surface area is required extra. If the cost of the cardboard is Rs. 4 for 1000cm2, find the cost of cardboard required for supplying 250 boxes of each kind.
Answer» Question 7 Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger of dimensions $25 c m \times 20 c m \times 5 c m$ and the smaller of dimension $15 c m \times 12 c m \times 5 c m$ . For all the overlaps, $5 %$ of the total surface area is required extra. If the cost of the cardboard is $R s . 4 f o r 1000 c m^{2}$ , find the cost of cardboard required for supplying 250 boxes of each kind.

Discussion

1975.	Which of the following is the price on which discount is given?
Answer» Which of the following is the price on which discount is given?

Discussion

1976.	If in a room 10 beds can be placed, then how many beds can be placed if the size of the room is halved?5
Answer» If in a room 10 beds can be placed, then how many beds can be placed if the size of the room is halved? 5

Discussion

1977.	Question 9 (iii) In the adjoining figure: Do ∠COE and ∠EOD form a linear pair?
Answer» Question 9 (iii) In the adjoining figure: Do $∠$ COE and $∠$ EOD form a linear pair?

Discussion

1978.	Each face of the cube in the image is differently coloured. If it rolls once to cross each adjacent square on the floor, which of the following can be the orientation of the cube at square A?
Answer» Each face of the cube in the image is differently coloured. If it rolls once to cross each adjacent square on the floor, which of the following can be the orientation of the cube at square A?

Discussion

1979.	Question 91 (d) In the following case, write the rational number whose numerators and denominator are respectively as under: 25+15 and 81÷40
Answer» Question 91 (d) In the following case, write the rational number whose numerators and denominator are respectively as under: $25 + 15 a n d 81 \div 40$

1979.

Question 91 (d) In the following case, write the rational number whose numerators and denominator are respectively as under: 25+15 and 81÷40

Answer»

Question 91 (d)

In the following case, write the rational number whose numerators and denominator are respectively as under:
$25 + 15 a n d 81 \div 40$

Discussion

1980.	Which of the following represents the power set of Set A, where A = { - 1, 0, 1 }
Answer» Which of the following represents the power set of Set A, where A = { - 1, 0, 1 }

Discussion

1981.	Among the following, is not the unit of area.
Answer» Among the following, is not the unit of area.

Discussion

1982.	The market price of a table was Rs. 1200. It was sold at a discount of 20 % . Find the selling price of the article
Answer» The market price of a table was Rs. 1200. It was sold at a discount of 20 % . Find the selling price of the article

Discussion

1983.	how to calculate square root of 88.43×10 19
Answer» how to calculate square root of 88.43×10 19

Discussion

1984.	Which of the following contribute towards the composition of Portland Cement?
Answer» Which of the following contribute towards the composition of Portland Cement?

Discussion

1985.	3(x-1)+6=12 solve for x.
Answer» 3(x-1)+6=12 solve for x.

1985.

3(x-1)+6=12 solve for x.

Answer»

3(x-1)+6=12

solve for x.

Discussion

1986.	You have to complete your homework as soon as possible, as you were already late for your Mathematics tuition. You looked at the hands of the clock; the two hands were in different positions at different point of time as they move along the dial. The two hands represent two rays meeting at a point when those two ends have a common end point. What do they form?
Answer» You have to complete your homework as soon as possible, as you were already late for your Mathematics tuition. You looked at the hands of the clock; the two hands were in different positions at different point of time as they move along the dial. The two hands represent two rays meeting at a point when those two ends have a common end point. What do they form?

1986.

You have to complete your homework as soon as possible, as you were already late for your Mathematics tuition. You looked at the hands of the clock; the two hands were in different positions at different point of time as they move along the dial. The two hands represent two rays meeting at a point when those two ends have a common end point. What do they form?

Answer»

You have to complete your homework as soon as possible, as you were already late for your Mathematics tuition. You looked at the hands of the clock; the two hands were in different positions at different point of time as they move along the dial. The two hands represent two rays meeting at a point when those two ends have a common end point. What do they form?

Discussion

1987.	Ratio of length to breadth of a rectangular field is 7:5 and the breadth is 240 m.The length of the field is:336
Answer» Ratio of length to breadth of a rectangular field is 7:5 and the breadth is 240 m. The length of the field is: 336

1987.

Ratio of length to breadth of a rectangular field is 7:5 and the breadth is 240 m.The length of the field is:336

Answer»

Ratio of length to breadth of a rectangular field is 7:5 and the breadth is 240 m.

The length of the field is:

336

Discussion

1988.	If the area of each small square in the given figure is 1 sq. cm, the area covered by the blue region is _____ sq. cm.5
Answer» If the area of each small square in the given figure is 1 sq. cm, the area covered by the blue region is _____ sq. cm. 5

Discussion

1989.	Find the angle which is equal to its supplement.
Answer» Find the angle which is equal to its supplement.

Discussion

1990.	Question 4(vii)Give expression for the following case.- p divided by 5.
Answer» Question 4(vii) Give expression for the following case. - p divided by 5.

1990.

Question 4(vii)Give expression for the following case.- p divided by 5.

Answer»

Question 4(vii)

Give expression for the following case.

- p divided by 5.

Discussion

1991.	In a day, 4/7 of the population ride the Ferris wheel. Which of the following number line represents the population that ride the Ferris wheel on that day?
Answer» In a day, 4/7 of the population ride the Ferris wheel. Which of the following number line represents the population that ride the Ferris wheel on that day?

Discussion

1992.	45. If the given equation has infinitely many solution, then find value of a and b: 2x + 3y = 7 (a-b)x + (a+b)y = 3a + b - 2
Answer» 45. If the given equation has infinitely many solution, then find value of a and b: 2x + 3y = 7 (a-b)x + (a+b)y = 3a + b - 2

Discussion

1993.	'Add four times a number with twice the same number' is algebraically written as
Answer» 'Add four times a number with twice the same number' is algebraically written as

Discussion

1994.	Question 50 Fill in the blank to make statement true. A parallelogram has ___ line of symmetry
Answer» Question 50 Fill in the blank to make statement true. A parallelogram has ___ line of symmetry

Discussion

1995.	Fill in the blank:a×a×3×b×b×b×2×c×c=_________
Answer» Fill in the blank: $a \times a \times 3 \times b \times b \times b \times 2 \times c \times c =_________$

Discussion

1996.	Question 69 State whether the statement is True or False. A linear pair may have two acute angles.
Answer» Question 69 State whether the statement is True or False. A linear pair may have two acute angles.

1996.

Question 69 State whether the statement is True or False. A linear pair may have two acute angles.

Answer»

Question 69

State whether the statement is True or False.

A linear pair may have two acute angles.

Discussion

1997.	(−374)÷(−17)= ______.
Answer» $(- 374) \div (- 17) =$ ______.

Discussion

1998.	Question 60Find the value of the letters in the following question: 8 A B C−A B C 5________ D 4 8 8
Answer» Question 60 Find the value of the letters in the following question: $8 A B C - A B C 5________D 488$

1998.

Question 60Find the value of the letters in the following question: 8 A B C−A B C 5________ D 4 8 8

Answer»

Question 60

Find the value of the letters in the following question:

$8 A B C - A B C 5________D 488$

Discussion

1999.	There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate ₹ 100 per meter it will cost the village panchayat ₹ 75,000 to fence the plot. What are the dimensions of the plot?
Answer» There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate ₹ 100 per meter it will cost the village panchayat ₹ 75,000 to fence the plot. What are the dimensions of the plot?

Discussion

2000.	If the edge length of a square is 6 unit, the area of the square is ___ square units.
Answer» If the edge length of a square is 6 unit, the area of the square is ___ square units.

Discussion

Explore topic-wise InterviewSolutions in .

Which of the following equations has a solution of x = 3 ?

Preeti has a rectangular field that is 10 ft long and 2 ft wide and she wants to cover it with soil. One bag of soil can cover 10ft2. How many bags will she need to cover the entire field?

In a △ABC, a,b,c are the sides of the triangle opposite to the angles A,B,C respectively. If b+c=3a, then cotB2⋅cotC2 has the value equal to

Find the square root of 324 using prime factorization.

Question 88In the given figures, identify the different shapes involved.

Which is greater:(i) 23 or 32(ii) 25 or 52

Which of the following is not a pythogorean triplet?

The volume of a cuboid of height 18 cm, length 10 cm, and breadth 5 cm is equal to _________.

In the following figure, BQ is a median of the given triangle. If AQ = 2 cm, find the length of the side AC. cm

Which of the following polynomials has 1 as a zero?

Weight of Abraham is 20 kg and his father's weight is 60 kg. Find the ratio of weight of Abraham and his father. Express it in the simplest form

Give an example for commutative property of multiplication.

Integers can be classified as:

Find thevalue of the unknown interior angle x in the followingfigures:

The sum of two integers is -56 and their quotient is 7. The numbers are A) -56, 49 B) 56, 49 C) -56, -49 D) 56, -49 The answer is -49 and -7, which is not provided in the options.

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ, respectively. If ∠POS = x, find ∠ROT.

21. Why null set is treated as any set,As per the definition of set,It include any elements which are distinct. So,why we read null set under set.As it doesn't include any set

A piece of paper containing two identical squares is folded into half twice. If the final shape obtained is a right-angled triangle, then which of the following cannot be the shape when the paper is unfolded?

Write the decimal number represented by the points A, B, C, D on the given number line?

What Are the rational numbers between -1 and 0

Question 80 If 45 is added to half a number, the result is triple the number. Find the number.

Which of the following is the price on which discount is given?

If in a room 10 beds can be placed, then how many beds can be placed if the size of the room is halved?5

Question 9 (iii) In the adjoining figure: Do ∠COE and ∠EOD form a linear pair?

Each face of the cube in the image is differently coloured. If it rolls once to cross each adjacent square on the floor, which of the following can be the orientation of the cube at square A?

Question 91 (d) In the following case, write the rational number whose numerators and denominator are respectively as under: 25+15 and 81÷40

Which of the following represents the power set of Set A, where A = { - 1, 0, 1 }

Among the following, is not the unit of area.

The market price of a table was Rs. 1200. It was sold at a discount of 20 % . Find the selling price of the article

how to calculate square root of 88.43×10 19

Which of the following contribute towards the composition of Portland Cement?

3(x-1)+6=12 solve for x.

Ratio of length to breadth of a rectangular field is 7:5 and the breadth is 240 m.The length of the field is:336

If the area of each small square in the given figure is 1 sq. cm, the area covered by the blue region is _____ sq. cm.5

Find the angle which is equal to its supplement.

Question 4(vii)Give expression for the following case.- p divided by 5.

In a day, 4/7 of the population ride the Ferris wheel. Which of the following number line represents the population that ride the Ferris wheel on that day?

45. If the given equation has infinitely many solution, then find value of a and b: 2x + 3y = 7 (a-b)x + (a+b)y = 3a + b - 2

'Add four times a number with twice the same number' is algebraically written as

Question 50 Fill in the blank to make statement true. A parallelogram has ___ line of symmetry

Fill in the blank:a×a×3×b×b×b×2×c×c=_________

Question 69 State whether the statement is True or False. A linear pair may have two acute angles.

(−374)÷(−17)= ______.

Question 60Find the value of the letters in the following question: 8 A B C−A B C 5________ D 4 8 8

There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate ₹ 100 per meter it will cost the village panchayat ₹ 75,000 to fence the plot. What are the dimensions of the plot?

If the edge length of a square is 6 unit, the area of the square is ___ square units.