16437 + Interview Questions in Mathematics Page 40 InterviewSolution

1951.	The branch of mathematics in which we study the use of letters to write rules and formulae in a general way is known as _______.
Answer» The branch of mathematics in which we study the use of letters to write rules and formulae in a general way is known as _______.

Discussion

1952.	hannah writes a recipe book. the recipe book uses 36 sheets of paper. she wants to produce 75 copies of the book. there are 500 sheets of paper in one pack. how many packs of paper does she need?
Answer» hannah writes a recipe book. the recipe book uses 36 sheets of paper. she wants to produce 75 copies of the book. there are 500 sheets of paper in one pack. how many packs of paper does she need?

Discussion

1953.	How to construct an angle of 175 degree.
Answer» How to construct an angle of $175$ degree.

Discussion

1954.	Which one of the following has volume?
Answer» Which one of the following has volume?

Discussion

1955.

There are four polling booths for a certain election. The numbers of men and women who cast their vote at each booth is given in the table below. Draw a joint bar graph for this data. Polling Booths Navodaya Vidyalaya Vidyaniketan School City High School Eklavya School Women 500 520 680 800 Men 440 640 760 600

Answer» There are four polling booths for a certain election. The numbers of men and women who cast their vote at each booth is given in the table below. Draw a joint bar graph for this data.

Polling Booths	Navodaya Vidyalaya	Vidyaniketan School	City High School	Eklavya School
Women	500	520	680	800
Men	440	640	760	600

Discussion

1956.	Question 5 Verify whether D is the mid-point of ¯¯¯¯¯¯¯¯AG
Answer» Question 5 Verify whether D is the mid-point of $¯ ¯¯¯¯¯¯ ¯ A G$

1956.

Question 5 Verify whether D is the mid-point of ¯¯¯¯¯¯¯¯AG

Answer»

Question 5

Verify whether D is the mid-point of $¯ ¯¯¯¯¯¯ ¯ A G$

Discussion

1957.	How many possibilities are there in each of the following?(1) Vanita knows the following sites in Maharashtra. She is planning to visit one of them in her summer vacation.Ajintha, Mahabaleshwar, Lonar Sarovar, Tadoba wild life sanctuary, Amboli, Raigad, Matheran, Anandavan.(2) Any day of a week is to be selected randomly.(3) Select one card from the pack of 52 cards.(4) One number from 10 to 20 is written on each card. Select one card randomly.
Answer» How many possibilities are there in each of the following? (1) Vanita knows the following sites in Maharashtra. She is planning to visit one of them in her summer vacation. Ajintha, Mahabaleshwar, Lonar Sarovar, Tadoba wild life sanctuary, Amboli, Raigad, Matheran, Anandavan. (2) Any day of a week is to be selected randomly. (3) Select one card from the pack of 52 cards. (4) One number from 10 to 20 is written on each card. Select one card randomly.

Discussion

1958.	Find the area of the shaded region in the figure given below.
Answer» Find the area of the shaded region in the figure given below.

Discussion

1959.	Choose the words which correctly completes the following statements: The element below sodium in the same Group would be expected to have a (A) electronegativity than sodium and the element above chlorine would be expected to have a (B) ionization potential than chlorine.
Answer» Choose the words which correctly completes the following statements: The element below sodium in the same Group would be expected to have a (A) electronegativity than sodium and the element above chlorine would be expected to have a (B) ionization potential than chlorine.

1959.

Choose the words which correctly completes the following statements: The element below sodium in the same Group would be expected to have a (A) electronegativity than sodium and the element above chlorine would be expected to have a (B) ionization potential than chlorine.

Answer»

Choose the words which correctly completes the following statements:

The element below sodium in the same Group would be expected to have a (A) electronegativity than sodium and the element above chlorine would be expected to have a (B) ionization potential than chlorine.

Discussion

1960.	Arrange the following numbers in ascending order using decimals:610, 2350, and 0.25
Answer» Arrange the following numbers in ascending order using decimals: $\frac{6}{10}$ , $\frac{23}{50}$ , $and 0.25$

Discussion

1961.	Show that two lines perpendicular to the same line are parallel to each other
Answer» Show that two lines perpendicular to the same line are parallel to each other

Discussion

1962.	Choose the correct option to change the given sentence into direct speech. Martha told me that she would call me once she knew where George was.
Answer» Choose the correct option to change the given sentence into direct speech. Martha told me that she would call me once she knew where George was.

1962.

Choose the correct option to change the given sentence into direct speech. Martha told me that she would call me once she knew where George was.

Answer»

Choose the correct option to change the given sentence into direct speech.

Martha told me that she would call me once she knew where George was.

Discussion

1963.	Amina buys a book for ₹ 275 and sells it at a loss of 15%. How much does she sell it for ?
Answer» Amina buys a book for ₹ 275 and sells it at a loss of 15%. How much does she sell it for ?

Discussion

1964.	Add 12.13 and 6.391 by converting them into fractions.
Answer» Add $12.13$ and $6.391$ by converting them into fractions.

Discussion

1965.	On 1st January, 2017, Ajay sold goods to Bhushan for ₹ 10,000. Ajay draws a bill of exchange for two months for the amount due which Bhushan accepts and returns it to Ajay, Bhushan met the bill on the due date. Pass Journal entries in the books of Ajay and Bhushan.
Answer» On 1st January, 2017, Ajay sold goods to Bhushan for ₹ 10,000. Ajay draws a bill of exchange for two months for the amount due which Bhushan accepts and returns it to Ajay, Bhushan met the bill on the due date. Pass Journal entries in the books of Ajay and Bhushan.

Discussion

1966.	In the algebraic inequality 9≥−3x≥−3, how many integral values does x have?
Answer» In the algebraic inequality $9 \geq - 3 x \geq - 3$ , how many integral values does $x$ have?

Discussion

1967.	The following Pictograph gives us the number of hours required to study a subject before an exam. The subject that takes most no. of hours is ___ and the subject that takes least no. of hours is ___.
Answer» The following Pictograph gives us the number of hours required to study a subject before an exam. The subject that takes most no. of hours is ___ and the subject that takes least no. of hours is ___.

1967.

The following Pictograph gives us the number of hours required to study a subject before an exam. The subject that takes most no. of hours is _ and the subject that takes least no. of hours is _.

Answer»

The following Pictograph gives us the number of hours required to study a subject before an exam. The subject that takes most no. of hours is ___ and the subject that takes least no. of hours is ___.

Discussion

1968.	Liza travels to her workplace every day by a bus. She recorded the time taken to reach to her workplace for 5 consecutive days which is represented as follows, Find the mean time taken to reach to her workplace.
Answer» Liza travels to her workplace every day by a bus. She recorded the time taken to reach to her workplace for $5$ consecutive days which is represented as follows, Find the mean time taken to reach to her workplace.

Discussion

1969.	Which is the easiest and most accurate method to copy a given line segment PQ?
Answer» Which is the easiest and most accurate method to copy a given line segment PQ?

Discussion

1970.	The given pictograph shows the number of cars sold in different showrooms.How many more cars were sold in July than in June?
Answer» The given pictograph shows the number of cars sold in different showrooms. How many more cars were sold in July than in June?

Discussion

1971.	The length and the breadth of a rectangular plot are in the ratio 11:4. If it costs ₹45,000 to fence the plot at a rate of ₹100 per metre, find the length of the plot (in metre).165
Answer» The length and the breadth of a rectangular plot are in the ratio 11:4. If it costs ₹45,000 to fence the plot at a rate of ₹100 per metre, find the length of the plot (in metre). 165

Discussion

1972.	The radius of aluminum is a 1.2 ×10^15 mb 3.6×10^15 mc 27×10^15 md 10.8×10^15 m
Answer» The radius of aluminum is a 1.2 ×10^15 m b 3.6×10^15 m c 27×10^15 m d 10.8×10^15 m

Discussion

1973.	Find the value of X:234+3112−116=X
Answer» $Find the value of X :$ $2 \frac{3}{4} + 3 \frac{1}{12} - 1 \frac{1}{6} = X$

Discussion

1974.	Question 35In the given question, state whether the given statement is True or False.A three-digit number abc is divisible by 5, if c is an even number.
Answer» Question 35 In the given question, state whether the given statement is True or False. A three-digit number abc is divisible by 5, if c is an even number.

Discussion

1975.	Direction(1-10):Find the missing number of the given sequences: 2,2,4,16,128,?
Answer» Direction(1-10):Find the missing number of the given sequences: 2,2,4,16,128,?

Discussion

1976.	25 bottles of cold drinks together weigh 8 kg. What is the weight of one cold drink bottle (in g)?
Answer» 25 bottles of cold drinks together weigh 8 kg. What is the weight of one cold drink bottle (in g)?

Discussion

1977.	___ pair must add up to form 180∘.
Answer» ___ pair must add up to form $180^{\circ}$ .

Discussion

1978.	Find the smallest 5-digit number that can be formed using the digits 9, 6, 0, 5, 8 and 1.(Note: Repetition of digits is not allowed)
Answer» Find the smallest 5-digit number that can be formed using the digits 9, 6, 0, 5, 8 and 1. (Note: Repetition of digits is not allowed)

1978.

Find the smallest 5-digit number that can be formed using the digits 9, 6, 0, 5, 8 and 1.(Note: Repetition of digits is not allowed)

Answer»

Find the smallest 5-digit number that can be formed using the digits 9, 6, 0, 5, 8 and 1.

(Note: Repetition of digits is not allowed)

Discussion

1979.	Find the product (x+4)(x2+2x+1)
Answer» Find the product $(x + 4) (x^{2} + 2 x + 1)$

Discussion

1980.	AB is a line segment. Construct PQ if PQ is twice the length of AB. [3 MARKS]
Answer» AB is a line segment. Construct PQ if PQ is twice the length of AB. [3 MARKS]

Discussion

1981.	In a quadrilateral PQRS, OP and OQ are the bisectors of ∠P and ∠Q respectively. Prove that∠POQ = 1/2 (∠R +∠S)
Answer» In a quadrilateral PQRS, OP and OQ are the bisectors of ∠P and ∠Q respectively. Prove that ∠POQ = 1/2 (∠R +∠S)

Discussion

1982.	The sides with a common vertex are called ___ sides.
Answer» The sides with a common vertex are called ___ sides.

Discussion

1983.	15. Distance between the directrices of the curve xy = 9 will be
Answer» 15. Distance between the directrices of the curve xy = 9 will be

Discussion

1984.	Which of the following fractions is not in its lowest form?
Answer» Which of the following fractions is not in its lowest form?

Discussion

1985.	Oliver rolls a 6-sided die once. What will be the probability that he will get an even number?
Answer» Oliver rolls a $6$ -sided die once. What will be the probability that he will get an even number?

Discussion

1986.	Find the value of 38 − (− 25) − 58 + (− 15) + 23 − (− 8).
Answer» Find the value of 38 − (− 25) − 58 + (− 15) + 23 − (− 8).

Discussion

1987.

From the table given below, establish a function between a and b.Number of chocolates (a)3713Cost (b)$12$28$52

Answer»

From the table given below, establish a function between a and b.

Number of chocolates (a)	3	7	13
Cost (b)	$12	$28	$52

Discussion

1988.	Write the greatest and the smallest numbers of 4 digits that can be formed using the digits 0, 8, 7, 5 ; using each digit only once.
Answer» Write the greatest and the smallest numbers of 4 digits that can be formed using the digits 0, 8, 7, 5 ; using each digit only once.

Discussion

1989.	Using a sharp tip of the pencil, a dot is marked on the paper. In geometry, this dot is called a ___ .
Answer» Using a sharp tip of the pencil, a dot is marked on the paper. In geometry, this dot is called a ___ .

Discussion

1990.	682.597.5 is equivalent to _______.
Answer» $\frac{682.5}{97.5}$ is equivalent to _______.

Discussion

1991.	Rehan bought 5 kg of wheat and 2500 grams of rice. How many kilograms worth wheat and rice does he have tp carry home?
Answer» Rehan bought 5 kg of wheat and 2500 grams of rice. How many kilograms worth wheat and rice does he have tp carry home?

Discussion

1992.	Consider two planes P1:2x−2y−z=4 and P2:x+3y+52z=6, then a plane passing through the intersection of planes P1 and P2 and is equally inclined to coordinate axes is ?
Answer» Consider two planes $P_{1} : 2 x - 2 y - z = 4$ and $P_{2} : x + 3 y + \frac{5}{2} z = 6,$ then a plane passing through the intersection of planes $P_{1}$ and $P_{2}$ and is equally inclined to coordinate axes is ?

Discussion

1993.	In the given fig, bisectors of ∠B and ∠C of ∆ABC intersect each other in point X. Line AX intersects side BC in point Y. AB = 5, AC = 4, BC = 6 then find AXXY.
Answer» In the given fig, bisectors of ∠B and ∠C of ∆ABC intersect each other in point X. Line AX intersects side BC in point Y. AB = 5, AC = 4, BC = 6 then find $\frac{AX}{XY}$ .

Discussion

1994.	Question 1 (iii) Find the sum: −910+2215
Answer» Question 1 (iii) Find the sum: $\frac{- 9}{10} + \frac{22}{15}$

1994.

Question 1 (iii) Find the sum: −910+2215

Answer»

Question 1 (iii)

Find the sum:
$\frac{- 9}{10} + \frac{22}{15}$

Discussion

1995.	A merchant had ₹78,592 with her. She placed an order for purchasing 40 radio sets at ₹1,200 each. How much money will remain with her after the purchase?
Answer» A merchant had ₹78,592 with her. She placed an order for purchasing 40 radio sets at ₹1,200 each. How much money will remain with her after the purchase?

Discussion

1996.	If a bicycle wheel has 36 spokes, then find the angle between a pair of adjacent spokes.
Answer» If a bicycle wheel has 36 spokes, then find the angle between a pair of adjacent spokes.

Discussion

1997.	If we need to graphically represent data in which the values of the variable are not quantifiable (and hence not comparable), which of these will we use?
Answer» If we need to graphically represent data in which the values of the variable are not quantifiable (and hence not comparable), which of these will we use?

Discussion

1998.	the side QR of Δ PQR is produced toa point S. If the bisectors of L PQR and4 PRS meet at point T, then prove thatZ QTRZ QPR.
Answer» the side QR of Δ PQR is produced toa point S. If the bisectors of L PQR and4 PRS meet at point T, then prove thatZ QTRZ QPR.

Discussion

1999.

Question 92 (c) Write the following as rational numbers in their standard forms. −637

Answer»

Question 92 (c)

Write the following as rational numbers in their standard forms.
$- 6 \frac{3}{7}$

Discussion

2000.

Determine which digit will be at the unit’s place in the square of a number 999.

Answer»

Determine which digit will be at the unit’s place in the square of a number 999.

Discussion

Explore topic-wise InterviewSolutions in .

The branch of mathematics in which we study the use of letters to write rules and formulae in a general way is known as _______.

hannah writes a recipe book. the recipe book uses 36 sheets of paper. she wants to produce 75 copies of the book. there are 500 sheets of paper in one pack. how many packs of paper does she need?

How to construct an angle of 175 degree.

Which one of the following has volume?

Question 5 Verify whether D is the mid-point of ¯¯¯¯¯¯¯¯AG

Find the area of the shaded region in the figure given below.

Choose the words which correctly completes the following statements: The element below sodium in the same Group would be expected to have a (A) electronegativity than sodium and the element above chlorine would be expected to have a (B) ionization potential than chlorine.

Arrange the following numbers in ascending order using decimals:610, 2350, and 0.25

Show that two lines perpendicular to the same line are parallel to each other

Choose the correct option to change the given sentence into direct speech. Martha told me that she would call me once she knew where George was.

Amina buys a book for ₹ 275 and sells it at a loss of 15%. How much does she sell it for ?

Add 12.13 and 6.391 by converting them into fractions.

On 1st January, 2017, Ajay sold goods to Bhushan for ₹ 10,000. Ajay draws a bill of exchange for two months for the amount due which Bhushan accepts and returns it to Ajay, Bhushan met the bill on the due date. Pass Journal entries in the books of Ajay and Bhushan.

In the algebraic inequality 9≥−3x≥−3, how many integral values does x have?

The following Pictograph gives us the number of hours required to study a subject before an exam. The subject that takes most no. of hours is ___ and the subject that takes least no. of hours is ___.

Liza travels to her workplace every day by a bus. She recorded the time taken to reach to her workplace for 5 consecutive days which is represented as follows, Find the mean time taken to reach to her workplace.

Which is the easiest and most accurate method to copy a given line segment PQ?

The given pictograph shows the number of cars sold in different showrooms.How many more cars were sold in July than in June?

The length and the breadth of a rectangular plot are in the ratio 11:4. If it costs ₹45,000 to fence the plot at a rate of ₹100 per metre, find the length of the plot (in metre).165

The radius of aluminum is a 1.2 ×10^15 mb 3.6×10^15 mc 27×10^15 md 10.8×10^15 m

Find the value of X:234+3112−116=X

Question 35In the given question, state whether the given statement is True or False.A three-digit number abc is divisible by 5, if c is an even number.

Direction(1-10):Find the missing number of the given sequences: 2,2,4,16,128,?

25 bottles of cold drinks together weigh 8 kg. What is the weight of one cold drink bottle (in g)?

___ pair must add up to form 180∘.

Find the smallest 5-digit number that can be formed using the digits 9, 6, 0, 5, 8 and 1.(Note: Repetition of digits is not allowed)

Find the product (x+4)(x2+2x+1)

AB is a line segment. Construct PQ if PQ is twice the length of AB. [3 MARKS]

In a quadrilateral PQRS, OP and OQ are the bisectors of ∠P and ∠Q respectively. Prove that∠POQ = 1/2 (∠R +∠S)

The sides with a common vertex are called ___ sides.

15. Distance between the directrices of the curve xy = 9 will be

Which of the following fractions is not in its lowest form?

Oliver rolls a 6-sided die once. What will be the probability that he will get an even number?

Find the value of 38 − (− 25) − 58 + (− 15) + 23 − (− 8).

From the table given below, establish a function between a and b.Number of chocolates (a)3713Cost (b)$12$28$52

Write the greatest and the smallest numbers of 4 digits that can be formed using the digits 0, 8, 7, 5 ; using each digit only once.

Using a sharp tip of the pencil, a dot is marked on the paper. In geometry, this dot is called a ___ .

682.597.5 is equivalent to _______.

Rehan bought 5 kg of wheat and 2500 grams of rice. How many kilograms worth wheat and rice does he have tp carry home?

Consider two planes P1:2x−2y−z=4 and P2:x+3y+52z=6, then a plane passing through the intersection of planes P1 and P2 and is equally inclined to coordinate axes is ?

In the given fig, bisectors of ∠B and ∠C of ∆ABC intersect each other in point X. Line AX intersects side BC in point Y. AB = 5, AC = 4, BC = 6 then find AXXY.

Question 1 (iii) Find the sum: −910+2215

A merchant had ₹78,592 with her. She placed an order for purchasing 40 radio sets at ₹1,200 each. How much money will remain with her after the purchase?

If a bicycle wheel has 36 spokes, then find the angle between a pair of adjacent spokes.

If we need to graphically represent data in which the values of the variable are not quantifiable (and hence not comparable), which of these will we use?

the side QR of Δ PQR is produced toa point S. If the bisectors of L PQR and4 PRS meet at point T, then prove thatZ QTRZ QPR.

Question 92 (c) Write the following as rational numbers in their standard forms. −637

Determine which digit will be at the unit’s place in the square of a number 999.

The following Pictograph gives us the number of hours required to study a subject before an exam. The subject that takes most no. of hours is _ and the subject that takes least no. of hours is _.