19743 + Interview Questions in Mathematics Page 39 InterviewSolution

1901.	Fill in the blanks:If 1, 2, 3 and x are in proportion, then x = .............
Answer» Fill in the blanks: If 1, 2, 3 and x are in proportion, then x = .............

Discussion

1902.	Fraction of total power carried by the side bands (PS/PT) is given bym^2(2+m^2)/m^2(2+m)/mm^2/(2+m^2)
Answer» Fraction of total power carried by the side bands (PS/PT) is given by m^2 (2+m^2)/m^2 (2+m)/m m^2/(2+m^2)

Discussion

1903.	Solve for x:7x−1=13
Answer» Solve for $x :$ $7 x - 1 = 13$

Discussion

1904.	The following data gives marks obtained by students in an exam. MarksNo. of studentsAbove 080Above 1077Above 2072Above 3065Above 4055Above 5043Above 6023Above 7016Above 8010Above 908Above 1000(i) Convert to a regular distribution.(ii) Find the mode.
Answer» The following data gives marks obtained by students in an exam. $\begin{matrix} M a r k s & N o . o f s t u d e n t s A b o v e 0 & 80 A b o v e 10 & 77 A b o v e 20 & 72 A b o v e 30 & 65 A b o v e 40 & 55 A b o v e 50 & 43 A b o v e 60 & 23 A b o v e 70 & 16 A b o v e 80 & 10 A b o v e 90 & 8 A b o v e 100 & 0 \end{matrix}$ (i) Convert to a regular distribution. (ii) Find the mode.

1904.

The following data gives marks obtained by students in an exam. MarksNo. of studentsAbove 080Above 1077Above 2072Above 3065Above 4055Above 5043Above 6023Above 7016Above 8010Above 908Above 1000(i) Convert to a regular distribution.(ii) Find the mode.

Answer»

The following data gives marks obtained by students in an exam.

$\begin{matrix} M a r k s & N o . o f s t u d e n t s A b o v e 0 & 80 A b o v e 10 & 77 A b o v e 20 & 72 A b o v e 30 & 65 A b o v e 40 & 55 A b o v e 50 & 43 A b o v e 60 & 23 A b o v e 70 & 16 A b o v e 80 & 10 A b o v e 90 & 8 A b o v e 100 & 0 \end{matrix}$

(i) Convert to a regular distribution.

(ii) Find the mode.

Discussion

1905.	The breadth and length of a rectangle drawn on paper are in the ratio 5 : 6. When the rectangle is constructed in reality ,it is 30 times the one drawn on paper. If the length of the real rectangle is 720 cm, then find the perimeter of the rectangle which is on paper.
Answer» The breadth and length of a rectangle drawn on paper are in the ratio 5 : 6. When the rectangle is constructed in reality ,it is 30 times the one drawn on paper. If the length of the real rectangle is 720 cm, then find the perimeter of the rectangle which is on paper.

1905.

The breadth and length of a rectangle drawn on paper are in the ratio 5 : 6. When the rectangle is constructed in reality ,it is 30 times the one drawn on paper. If the length of the real rectangle is 720 cm, then find the perimeter of the rectangle which is on paper.

Answer»

The breadth and length of a rectangle drawn on paper are in the ratio 5 : 6. When the rectangle is constructed in reality ,it is 30 times the one drawn on paper.

If the length of the real rectangle is 720 cm, then find the perimeter of the rectangle which is on paper.

Discussion

1906.	A sum when reckoned at 6% per annum simple interest amounts to ₹ 4130 in 3 years find the sum
Answer» A sum when reckoned at 6% per annum simple interest amounts to ₹ 4130 in 3 years find the sum

Discussion

1907.	Matt is making a transcript of an online algebra lecture. Due to some technical difficulty, the video paused for a bit, and he could not see the complete expression for the following statement:The quotient of z and 12 is equal to the sum of the products of 5 and 6 and 3 and 7.Which of the following expressions is the correct mathematical representation of the above statement?
Answer» Matt is making a transcript of an online algebra lecture. Due to some technical difficulty, the video paused for a bit, and he could not see the complete expression for the following statement: The quotient of z and 12 is equal to the sum of the products of 5 and 6 and 3 and 7. Which of the following expressions is the correct mathematical representation of the above statement?

Discussion

1908.	Find the missing number 16 : 36 : : 28 : ?
Answer» Find the missing number 16 : 36 : : 28 : ?

Discussion

1909.	Find the area of the given figure (all dimensions are in cm).
Answer» Find the area of the given figure (all dimensions are in cm).

Discussion

1910.	Rs.20000 is being charged at 50% per annum. The interest for third year at compound interest is-------
Answer» Rs.20000 is being charged at 50% per annum. The interest for third year at compound interest is -------

Discussion

1911.	Identify like terms in the following:10pq, 7p, 8q, −p2q2, −7qp, −100q, −23, 12q2p2, −5p2, 41, 2,405p, 78qp, 13p2q, qp2, 701p2
Answer» Identify like terms in the following: $10 p q, 7 p, 8 q, - p^{2} q^{2}, - 7 q p, - 100 q, - 23, 12 q^{2} p^{2}, - 5 p^{2}, 41, 2, 405 p, 78 q p, 13 p^{2} q, q p^{2}, 701 p^{2}$

1911.

Identify like terms in the following:10pq, 7p, 8q, −p2q2, −7qp, −100q, −23, 12q2p2, −5p2, 41, 2,405p, 78qp, 13p2q, qp2, 701p2

Answer»

Identify like terms in the following:

$10 p q, 7 p, 8 q, - p^{2} q^{2}, - 7 q p, - 100 q, - 23, 12 q^{2} p^{2}, - 5 p^{2}, 41, 2, 405 p, 78 q p, 13 p^{2} q, q p^{2}, 701 p^{2}$

Discussion

1912.	Two numbers differ by 3. The sum of twice the smaller number and thrice the greater number is 19. Find the numbers.
Answer» Two numbers differ by $3.$ The sum of twice the smaller number and thrice the greater number is $19.$ Find the numbers.

Discussion

1913.	Question 160(ii)For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
Answer» Question 160(ii) For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

1913.

Question 160(ii)For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

Answer»

Question 160(ii)

For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

Discussion

1914.	If 4 cm, 8 cm, and 2 cm are the measures of three lines segment, can it be used to draw a triangle?
Answer» If 4 cm, 8 cm, and 2 cm are the measures of three lines segment, can it be used to draw a triangle?

Discussion

1915.	Evaluate the expression [-3 x 7] - (-76)
Answer» Evaluate the expression [-3 x 7] - (-76)

1915.

Evaluate the expression [-3 x 7] - (-76)

Answer»

Evaluate the expression

[-3 x 7] - (-76)

Discussion

1916.	Question 2 (iv) Draw, wherever possible, a rough sketch of: iv) A quadrilateral with line symmetry but not a rotational symmetry of order more than 1?
Answer» Question 2 (iv) Draw, wherever possible, a rough sketch of: iv) A quadrilateral with line symmetry but not a rotational symmetry of order more than 1?

Discussion

1917.	A fully charged battery is used to light a bulb for six days of continuous operation. If the same fully charged battery capacity is used to light five bulbs of similar power rating, how many days will the battery last?
Answer» A fully charged battery is used to light a bulb for six days of continuous operation. If the same fully charged battery capacity is used to light five bulbs of similar power rating, how many days will the battery last?

Discussion

1918.	A line is drawn passing through point P(1,2) to cut positive co-ordinate axes at A and B.The minimum area of triangle OAB is (where O is origin)
Answer» A line is drawn passing through point $P (1, 2)$ to cut positive co-ordinate axes at $A$ and $B$ .The minimum area of triangle $O A B$ is (where $O$ is origin)

Discussion

1919.	A fraction is ______.
Answer» A fraction is ______.

Discussion

1920.	x is defined as 30% of 30. If y=4x+7, find the value of y.
Answer» $x$ is defined as 30% of 30. If $y = 4 x + 7$ , find the value of y.

Discussion

1921.	Mark the correct alternative in the following question:How much is -2x2 + x + 1 less than x2 + 2x - 3?(a) -x2 + 3x - 2 (b) 3x2 + x - 4 (c) -3x2 - x + 4 (d) 3x2 + 3x - 4
Answer» Mark the correct alternative in the following question: How much is $-$ 2x² + x + 1 less than x² + 2x $-$ 3? (a) $-$ x² + 3x $-$ 2 (b) 3x² + x $-$ 4 (c) $-$ 3x² $-$ x + 4 (d) 3x² + 3x $-$ 4

Discussion

1922.	Construct a triangle ABC in which BC=8 cm, ∠B=45∘ and AB−AC=3.5 cm.
Answer» Construct a triangle ABC in which $B C = 8 c m, ∠ B = 45^{\circ} a n d A B - A C = 3.5 c m$ .

Discussion

1923.	Choose the correct answer of the following question:The tops of two towers of heights x and y, standing on a level ground subtend angles of 30° and 60°, respectively at the centre of the line joining their feet. Then, x : y is(a) 1 : 2 (b) 2 : 1 (c) 1 : 3 (d) 3 : 1 [CBSE 2015]
Answer» Choose the correct answer of the following question: The tops of two towers of heights x and y, standing on a level ground subtend angles of 30° and 60°, respectively at the centre of the line joining their feet. Then, x : y is (a) 1 : 2 (b) 2 : 1 (c) 1 : 3 (d) 3 : 1 [CBSE 2015]

Discussion

1924.	Consider the figure:If ∠A = 50⁰, ∠B = 70⁰, and x = 2y, then, the value of x (in degrees) is___.
Answer» Consider the figure: If ∠A = 50⁰, ∠B = 70⁰, and x = 2y, then, the value of x (in degrees) is___.

1924.

Consider the figure:If ∠A = 50⁰, ∠B = 70⁰, and x = 2y, then, the value of x (in degrees) is___.

Answer»

Consider the figure:

If ∠A = 50⁰, ∠B = 70⁰, and x = 2y, then, the value of x (in degrees) is___.

Discussion

1925.	What is clementi raimondi rule for calculation of screening constant?
Answer» What is clementi raimondi rule for calculation of screening constant?

Discussion

1926.	What is the Multiplicative inverse of 17
Answer» What is the Multiplicative inverse of $\frac{1}{7}$

Discussion

1927.	Nina has invited her friends to her home. She is preparing mixed fruit juice for everyone.To prepare mixed fruit juice, she needs 426 glass of blueberry juice. Her mother asks if she can write this mixed fraction as an improper fraction. Can you help her?
Answer» Nina has invited her friends to her home. She is preparing mixed fruit juice for everyone. To prepare mixed fruit juice, she needs 4 $\frac{2}{6}$ glass of blueberry juice. Her mother asks if she can write this mixed fraction as an improper fraction. Can you help her?

Discussion

1928.	Write all 2, 3 and 4 digit numbers which look the same on half a turn
Answer» Write all 2, 3 and 4 digit numbers which look the same on half a turn

Discussion

1929.	The base and height of the triangle are in the ratio 3:2. If the area of the triangle is 243 cm2, find the base and height of the triangle.
Answer» The base and height of the triangle are in the ratio 3:2. If the area of the triangle is 243 cm $^{2}$ , find the base and height of the triangle.

Discussion

1930.	Question 93 (i)The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle.x2−6x+8
Answer» Question 93 (i) The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle. $x^{2} - 6 x + 8$

1930.

Question 93 (i)The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle.x2−6x+8

Answer»

Question 93 (i)

The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle.

$x^{2} - 6 x + 8$

Discussion

1931.	Represent √9.3 on the number line.
Answer» Represent √9.3 on the number line.

Discussion

1932.	△ABC is drawn with the length of side BC being 9.6 cm. If ∠C is 36∘ and ∠B is 84∘, then, what is the length of side AB? ( in cm)6.6
Answer» $△$ ABC is drawn with the length of side BC being 9.6 cm. If $∠$ C is 36 $^{\circ}$ and $∠$ B is 84 $^{\circ}$ , then, what is the length of side AB? ( in cm) 6.6

Discussion

1933.	in a connical pendulam the length of string is l and θ is the angle of string with vertical . timeperiod of revolution is
Answer» in a connical pendulam the length of string is l and θ is the angle of string with vertical . timeperiod of revolution is

Discussion

1934.

Prepare Profit and Loss Account for the year ended 31st March, 2017 from the following particulars:- Particulars (₹) Particulars (₹) General expenses 12,000 Gross profit 7,69,000 Charity 3,000 Carriage Outwards 20,000 Office Lighting 5,000 Office Expenses 16,000 Law Charges 5,800 Fire Insurance Premium 18,000 Advertisement 14,200 Telephone Expenses 13,500 Bank charges 1,200 Establishment expenses 2,500 Commission 7,000 Miscellaneous Expenses 7,100 Rent, Rates and Taxes 30,000 Discount Received 6,200 Interest on investments 12,000 Traveller's salary 60,000 Sundry Receipts 6,000 Repair 4,300 Indirect expenses 2,100 Commission Cr. 2,000 Printing and Stationery 1,500

Answer» Prepare Profit and Loss Account for the year ended 31st March, 2017 from the following particulars:-


Particulars	(₹)	Particulars	(₹)
General expenses	12,000	Gross profit	7,69,000
Charity	3,000	Carriage Outwards	20,000
Office Lighting	5,000	Office Expenses	16,000
Law Charges	5,800	Fire Insurance Premium	18,000
Advertisement	14,200	Telephone Expenses	13,500
Bank charges	1,200	Establishment expenses	2,500
Commission	7,000	Miscellaneous Expenses	7,100
Rent, Rates and Taxes	30,000	Discount Received	6,200
Interest on investments	12,000	Traveller's salary	60,000
Sundry Receipts	6,000	Repair	4,300
Indirect expenses	2,100	Commission Cr.	2,000
Printing and Stationery	1,500

Discussion

1935.	Question 119 (ii) Write a positive integer and a negative integer whose sum is a positive integer.
Answer» Question 119 (ii) Write a positive integer and a negative integer whose sum is a positive integer.

1935.

Question 119 (ii) Write a positive integer and a negative integer whose sum is a positive integer.

Answer»

Question 119 (ii)

Write a positive integer and a negative integer whose sum is a positive integer.

Discussion

1936.	Which of the following exhibit linear but no rotational and point symmetry?
Answer» Which of the following exhibit linear but no rotational and point symmetry?

Discussion

1937.	What are equivalent sets?
Answer» What are equivalent sets?

Discussion

1938.	On Feb. 6, 2017 A sold goods for ₹ 1,00,000 to B. B paid 40% immediately on which A allowed a cash discount of ₹ 500. For the balance A drew a bill on B payable after 30 days. Due date of bill was a public holiday and the bill was met as per the provisions of Negotiable Instrument Act. Journalise the above transactions in the books of A and B.
Answer» On Feb. 6, 2017 A sold goods for ₹ 1,00,000 to B. B paid 40% immediately on which A allowed a cash discount of ₹ 500. For the balance A drew a bill on B payable after 30 days. Due date of bill was a public holiday and the bill was met as per the provisions of Negotiable Instrument Act. Journalise the above transactions in the books of A and B.

Discussion

1939.	In the given figure, ABCD is a rhombus. If OB = 3 units, OC = 4 units and AE = 6.4 units. Find the length of BE.
Answer» In the given figure, ABCD is a rhombus. If OB = 3 units, OC = 4 units and AE = 6.4 units. Find the length of BE.

1939.

In the given figure, ABCD is a rhombus. If OB = 3 units, OC = 4 units and AE = 6.4 units. Find the length of BE.

Answer»

In the given figure, ABCD is a rhombus. If OB = 3 units, OC = 4 units and AE = 6.4 units. Find the length of BE.

Discussion

1940.	There are 3 taps. Water starts to drip from the three taps. A drop of water comes out of first, second and third tap every 2 seconds, 4 seconds and 7 seconds respectively. After how many seconds will the drops of water from all the three taps fall together?
Answer» There are 3 taps. Water starts to drip from the three taps. A drop of water comes out of first, second and third tap every 2 seconds, 4 seconds and 7 seconds respectively. After how many seconds will the drops of water from all the three taps fall together?

1940.

There are 3 taps. Water starts to drip from the three taps. A drop of water comes out of first, second and third tap every 2 seconds, 4 seconds and 7 seconds respectively. After how many seconds will the drops of water from all the three taps fall together?

Answer»

There are 3 taps. Water starts to drip from the three taps. A drop of water comes out of first, second and third tap every 2 seconds, 4 seconds and 7 seconds respectively. After how many seconds will the drops of water from all the three taps fall together?

Discussion

1941.	Let V={a,e,i,o,u} and B={a,i,k,u}.Find V−B and B−V.
Answer» Let $V = {a, e, i, o, u}$ and $B = {a, i, k, u}$ . Find $V - B$ and $B - V$ .

Discussion

1942.	If a transversal intersects two parallel lines then each pair of consecutive interior angle is _________.
Answer» If a transversal intersects two parallel lines then each pair of consecutive interior angle is _________.

Discussion

1943.	Simplify and express in exponential form: −625−24÷−62533
Answer» Simplify and express in exponential form: $- 625^{- 24} \div - 625^{33}$

Discussion

1944.	Given that two number have no factors in common other than 1. Which of the following will be least common multiple of both numbers? Solve using ladder diagram.
Answer» Given that two number have no factors in common other than 1. Which of the following will be least common multiple of both numbers? Solve using ladder diagram.

Discussion

1945.	Which of the following represents 1.5% as a decimal?
Answer» Which of the following represents 1.5% as a decimal?

Discussion

1946.	what is the square root of 256
Answer» what is the square root of 256

Discussion

1947.	Given the data of whether or not rain occurs when there is cloudy weather, what is the probability of rain occuring on a cloudy day?
Answer» Given the data of whether or not rain occurs when there is cloudy weather, what is the probability of rain occuring on a cloudy day?

Discussion

1948.	Question 3 Which measures of central tendency get affected if the extreme observations on both the ends of a data arranged in descending order are removed? (a) Mean and mode (b) Mean and median (c) Mode and median (d) Mean, median and mode
Answer» Question 3 Which measures of central tendency get affected if the extreme observations on both the ends of a data arranged in descending order are removed? (a) Mean and mode (b) Mean and median (c) Mode and median (d) Mean, median and mode

Discussion

1949.	Which of the following is the smallest integer?
Answer» Which of the following is the smallest integer?

Discussion

1950.	Find the least four-digits number that is a perfect square.
Answer» Find the least four-digits number that is a perfect square.

Discussion

Explore topic-wise InterviewSolutions in .

Fill in the blanks:If 1, 2, 3 and x are in proportion, then x = .............

Fraction of total power carried by the side bands (PS/PT) is given bym^2(2+m^2)/m^2(2+m)/mm^2/(2+m^2)

Solve for x:7x−1=13

The following data gives marks obtained by students in an exam. MarksNo. of studentsAbove 080Above 1077Above 2072Above 3065Above 4055Above 5043Above 6023Above 7016Above 8010Above 908Above 1000(i) Convert to a regular distribution.(ii) Find the mode.

The breadth and length of a rectangle drawn on paper are in the ratio 5 : 6. When the rectangle is constructed in reality ,it is 30 times the one drawn on paper. If the length of the real rectangle is 720 cm, then find the perimeter of the rectangle which is on paper.

A sum when reckoned at 6% per annum simple interest amounts to ₹ 4130 in 3 years find the sum

Find the missing number 16 : 36 : : 28 : ?

Find the area of the given figure (all dimensions are in cm).

Rs.20000 is being charged at 50% per annum. The interest for third year at compound interest is-------

Identify like terms in the following:10pq, 7p, 8q, −p2q2, −7qp, −100q, −23, 12q2p2, −5p2, 41, 2,405p, 78qp, 13p2q, qp2, 701p2

Two numbers differ by 3. The sum of twice the smaller number and thrice the greater number is 19. Find the numbers.

Question 160(ii)For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

If 4 cm, 8 cm, and 2 cm are the measures of three lines segment, can it be used to draw a triangle?

Evaluate the expression [-3 x 7] - (-76)

Question 2 (iv) Draw, wherever possible, a rough sketch of: iv) A quadrilateral with line symmetry but not a rotational symmetry of order more than 1?

A fully charged battery is used to light a bulb for six days of continuous operation. If the same fully charged battery capacity is used to light five bulbs of similar power rating, how many days will the battery last?

A line is drawn passing through point P(1,2) to cut positive co-ordinate axes at A and B.The minimum area of triangle OAB is (where O is origin)

A fraction is ______.

x is defined as 30% of 30. If y=4x+7, find the value of y.

Mark the correct alternative in the following question:How much is -2x2 + x + 1 less than x2 + 2x - 3?(a) -x2 + 3x - 2 (b) 3x2 + x - 4 (c) -3x2 - x + 4 (d) 3x2 + 3x - 4

Construct a triangle ABC in which BC=8 cm, ∠B=45∘ and AB−AC=3.5 cm.

Choose the correct answer of the following question:The tops of two towers of heights x and y, standing on a level ground subtend angles of 30° and 60°, respectively at the centre of the line joining their feet. Then, x : y is(a) 1 : 2 (b) 2 : 1 (c) 1 : 3 (d) 3 : 1 [CBSE 2015]

Consider the figure:If ∠A = 50⁰​, ∠B = 70⁰​, and x = 2y, then, the value of x (in degrees) is___.

What is clementi raimondi rule for calculation of screening constant?

What is the Multiplicative inverse of 17

Nina has invited her friends to her home. She is preparing mixed fruit juice for everyone.To prepare mixed fruit juice, she needs 426 glass of blueberry juice. Her mother asks if she can write this mixed fraction as an improper fraction. Can you help her?

Write all 2, 3 and 4 digit numbers which look the same on half a turn

The base and height of the triangle are in the ratio 3:2. If the area of the triangle is 243 cm2, find the base and height of the triangle.

Question 93 (i)The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle.x2−6x+8

Represent √9.3 on the number line.

△ABC is drawn with the length of side BC being 9.6 cm. If ∠C is 36∘ and ∠B is 84∘, then, what is the length of side AB? ( in cm)6.6

in a connical pendulam the length of string is l and θ is the angle of string with vertical . timeperiod of revolution is

Question 119 (ii) Write a positive integer and a negative integer whose sum is a positive integer.

Which of the following exhibit linear but no rotational and point symmetry?

What are equivalent sets?

In the given figure, ABCD is a rhombus. If OB = 3 units, OC = 4 units and AE = 6.4 units. Find the length of BE.

There are 3 taps. Water starts to drip from the three taps. A drop of water comes out of first, second and third tap every 2 seconds, 4 seconds and 7 seconds respectively. After how many seconds will the drops of water from all the three taps fall together?

Let V={a,e,i,o,u} and B={a,i,k,u}.Find V−B and B−V.

If a transversal intersects two parallel lines then each pair of consecutive interior angle is _________.

Simplify and express in exponential form: −625−24÷−62533

Given that two number have no factors in common other than 1. Which of the following will be least common multiple of both numbers? Solve using ladder diagram.

Which of the following represents 1.5% as a decimal?

what is the square root of 256

Given the data of whether or not rain occurs when there is cloudy weather, what is the probability of rain occuring on a cloudy day?

Question 3 Which measures of central tendency get affected if the extreme observations on both the ends of a data arranged in descending order are removed? (a) Mean and mode (b) Mean and median (c) Mode and median (d) Mean, median and mode

Which of the following is the smallest integer?

Find the least four-digits number that is a perfect square.

Consider the figure:If ∠A = 50⁰, ∠B = 70⁰, and x = 2y, then, the value of x (in degrees) is___.