19743 + Interview Questions in Mathematics Page 19 InterviewSolution

901.	It is 82% likely that India will win the match means that, ___.
Answer» It is 82% likely that India will win the match means that, ___.

Discussion

902.	40% students of a college reside in hostel and the remaining reside outside.At the end of year,50% of the hosteliers got A grade while from outside students,only 30% got A grade in the examination.At the end of the year,a student of the college was chosen at random and was found to got A grade.What is the probability that the selected student was a hostelier?
Answer» 40% students of a college reside in hostel and the remaining reside outside.At the end of year,50% of the hosteliers got A grade while from outside students,only 30% got A grade in the examination.At the end of the year,a student of the college was chosen at random and was found to got A grade.What is the probability that the selected student was a hostelier?

Discussion

903.	Identify like terms in the following: (a) −xy2, − 4yx2, 8x2, 2xy2, 7y, − 11x2, − 100x, −11yx, 20x2y, −6x2, y, 2xy,3x (b) 10pq, 7p, 8q, − p2q2, − 7qp, − 100q, − 23, 12q2p2, − 5p2, 41, 2405p, 78qp, 13p2q, qp2, 701p2
Answer» Identify like terms in the following: (a) −xy², − 4yx², 8x², 2xy², 7y, − 11x², − 100x, −11yx, 20x²y, −6x², y, 2xy,3x (b) 10pq, 7p, 8q, − p²q², − 7qp, − 100q, − 23, 12q²p², − 5p², 41, 2405p, 78qp, 13p²q, qp², 701p²

903.

Identify like terms in the following: (a) −xy2, − 4yx2, 8x2, 2xy2, 7y, − 11x2, − 100x, −11yx, 20x2y, −6x2, y, 2xy,3x (b) 10pq, 7p, 8q, − p2q2, − 7qp, − 100q, − 23, 12q2p2, − 5p2, 41, 2405p, 78qp, 13p2q, qp2, 701p2

Answer»

Identify like terms in the following:

(a) −xy², − 4yx²,
8x², 2xy², 7y, −
11x², − 100x, −11yx,
20x²y, −6x², y,
2xy,3x

(b) 10pq, 7p, 8q, − p²q²,
− 7qp, − 100q, − 23, 12q²p²,
− 5p², 41, 2405p, 78qp, 13p²q,
qp², 701p²

Discussion

904.	The available money in Burger's bank is $127 billion. Select the correct option towards representing $127 billion in a scientific notation.
Answer» The available money in Burger's bank is $$ 127$ billion. Select the correct option towards representing $$ 127$ billion in a scientific notation.

Discussion

905.	Question 23State whether the given statements are true (T) or false (F).20 g : 100 g = 1m : 500 cm
Answer» Question 23 State whether the given statements are true (T) or false (F). 20 g : 100 g = 1m : 500 cm

905.

Question 23State whether the given statements are true (T) or false (F).20 g : 100 g = 1m : 500 cm

Answer»

Question 23

State whether the given statements are true (T) or false (F).

20 g : 100 g = 1m : 500 cm

Discussion

906.	4200 when expressed as product of prime numbers is.
Answer» 4200 when expressed as product of prime numbers is.

906.

4200 when expressed as product of prime numbers is.

Answer»

4200 when expressed as product of prime numbers is.

Discussion

907.	∫3x+5x2+3x-18dx
Answer» $\int \frac{3 x + 5}{x^{2} + 3 x - 18} d x$

Discussion

908.	Division of a whole number p by a fraction A is the same as multiplying p by ___.
Answer» Division of a whole number $p$ by a fraction $A$ is the same as multiplying $p$ by ___.

Discussion

909.	Question 3(v)Express the number appearing in the following statements in standard form:Thickness of a thick paper is 0.07 mm.
Answer» Question 3(v) Express the number appearing in the following statements in standard form: Thickness of a thick paper is 0.07 mm.

Discussion

910.	The set A = {1,4,9,16,25---} in set builder form is written as:
Answer» The set A = {1,4,9,16,25---} in set builder form is written as:

Discussion

911.	In the given figure, a square is cut as shown in the first figure and rearranged to form a big square as shown in the second figure. Then find the area of the big square in the second figure.
Answer» In the given figure, a square is cut as shown in the first figure and rearranged to form a big square as shown in the second figure. Then find the area of the big square in the second figure.

911.

In the given figure, a square is cut as shown in the first figure and rearranged to form a big square as shown in the second figure. Then find the area of the big square in the second figure.

Answer»

In the given figure, a square is cut as shown in the first figure and rearranged to form a big square as shown in the second figure. Then find the area of the big square in the second figure.

Discussion

912.	One of the two digit number of a two digit number is three times the other digit if you want to change the digit of these two number and at the resulting number to the original number you get 88 what is the original number
Answer» One of the two digit number of a two digit number is three times the other digit if you want to change the digit of these two number and at the resulting number to the original number you get 88 what is the original number

Discussion

913.	How a median is different from a perpendicular bisector of a triangle.
Answer» How a median is different from a perpendicular bisector of a triangle.

Discussion

914.	A man runs in the east direction and suddenly changes his direction towards the north. After running for some time, he comes back to his original position. Given that the man's path of running is a triangle and one of its angles is 90 degrees, find the sum of the other two angles. [3 MARKS]
Answer» A man runs in the east direction and suddenly changes his direction towards the north. After running for some time, he comes back to his original position. Given that the man's path of running is a triangle and one of its angles is 90 degrees, find the sum of the other two angles. [3 MARKS]

Discussion

915.

Following balances appeared in the books of Ashok, Delhi on 1st April, 2019:Assets: Cash ₹ 50,000; Stock ₹ 30,000; Debtors − Ram ₹ 50,000; Machinery ₹ 60,000.Liabilities: Creditor − Rajesh ₹ 30,000.The following transactions took place in April, 2019: 2019 ₹ April 4 Sold goods for cash 7,000 April 6 Goods returned by Ram, Delhi 1,000 April 10 Purchased goods from Rajesh, Jaipur (Rajasthan) of list price ₹ 10,000 for 9,000 April 15 Bought goods of list price of ₹ 15,000 from Rakesh, Kolkata less 10% trade discount and 5% cash discount and paid 40% of amount immediately April 20 Paid to Rajesh in full settlement of his account* 38,600 April 25 Paid for the life insurance premium of the proprietor* 500 April 30 Received commission (Including CGST and SGST 6% each) 2,000 CGST and SGST 6% each is levied on intra-state transactions and IGST is levied 12% on inter-state transactions. Transactions marked with (*) are not subject to levy of GST.Pass Journal entries for the above transaction, post them into the Ledger and prepare the Trial Balance on 30th April, 2019.

Answer» Following balances appeared in the books of Ashok, Delhi on 1st April, 2019:

Assets: Cash ₹ 50,000; Stock ₹ 30,000; Debtors − Ram ₹ 50,000; Machinery ₹ 60,000.

Liabilities: Creditor − Rajesh ₹ 30,000.

The following transactions took place in April, 2019:

2019		₹
April 4	Sold goods for cash	7,000
April 6	Goods returned by Ram, Delhi	1,000
April 10	Purchased goods from Rajesh, Jaipur (Rajasthan) of list price ₹ 10,000 for	9,000
April 15	Bought goods of list price of ₹ 15,000 from Rakesh, Kolkata less 10% trade
	discount and 5% cash discount and paid 40% of amount immediately
April 20	Paid to Rajesh in full settlement of his account*	38,600
April 25	Paid for the life insurance premium of the proprietor*	500
April 30	Received commission (Including CGST and SGST 6% each)	2,000

CGST and SGST 6% each is levied on intra-state transactions and IGST is levied 12% on inter-state transactions. Transactions marked with (*) are not subject to levy of GST.

Pass Journal entries for the above transaction, post them into the Ledger and prepare the Trial Balance on 30th April, 2019.

Discussion

916.	A floral design on a floor is made up of 16 tiles which are triangular, the sides of the triangle being 9 cm, 28 cm and 35 cm (see the given figure).Find the cost of polishing the tiles at the rate of 50p per cm2.
Answer» A floral design on a floor is made up of 16 tiles which are triangular, the sides of the triangle being 9 cm, 28 cm and 35 cm (see the given figure).Find the cost of polishing the tiles at the rate of 50p per $c m^{2}$ .

Discussion

917.	What is whole number
Answer» What is whole number

Discussion

918.	The sum of the rational numbers −819 and −457 is _____.
Answer» The sum of the rational numbers $\frac{- 8}{19}$ and $\frac{- 4}{57}$ is _____.

Discussion

919.	Both Arjun and Rahul went for jogging and stopped at a place where kids were playing on a slide as shown belowTwo slides which are directed in the two opposite directions are combined with the vertical stairs in the midway between the two sliders.The lengths of both the slides are same, the width of the slide is 1 m and the distance AC = 5 m. Find the distance AB.
Answer» Both Arjun and Rahul went for jogging and stopped at a place where kids were playing on a slide as shown below Two slides which are directed in the two opposite directions are combined with the vertical stairs in the midway between the two sliders. The lengths of both the slides are same, the width of the slide is 1 m and the distance AC = 5 m. Find the distance AB.

919.

Both Arjun and Rahul went for jogging and stopped at a place where kids were playing on a slide as shown belowTwo slides which are directed in the two opposite directions are combined with the vertical stairs in the midway between the two sliders.The lengths of both the slides are same, the width of the slide is 1 m and the distance AC = 5 m. Find the distance AB.

Answer»

Both Arjun and Rahul went for jogging and stopped at a place where kids were playing on a slide as shown below

Two slides which are directed in the two opposite directions are combined with the vertical stairs in the midway between the two sliders.

The lengths of both the slides are same, the width of the slide is 1 m and the distance AC = 5 m. Find the distance AB.

Discussion

920.	A cyclist covers 950 m in 5 minutes. Find his speed in km/ hour.
Answer» A cyclist covers $950$ m in $5$ minutes. Find his speed in km/ hour.

920.

A cyclist covers 950 m in 5 minutes. Find his speed in km/ hour.

Answer»

A cyclist covers $950$ m in $5$ minutes. Find his speed in km/ hour.

Discussion

921.	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.
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.

Discussion

922.	Find the value of a and b if b is four more than the half of a and a = b. The answer is given that the value of both a and b is 8 but I didn't understand the method.
Answer» Find the value of a and b if b is four more than the half of a and a = b. The answer is given that the value of both a and b is 8 but I didn't understand the method.

Discussion

923.	Simplify: 245+32025.
Answer» Simplify: $\frac{2 \sqrt{45} + 3 \sqrt{20}}{2 \sqrt{5}}$ .

Discussion

924.	83.How many binary operations are there in set having 1 element? If 2or 3?
Answer» 83.How many binary operations are there in set having 1 element? If 2or 3?

Discussion

925.	if X=\{p: where p=(n+2)(2n^5+3n^4+4n^3+5n^2+6) / n^2+2n and n,p∈ Z^{+ve }\}, then find the number of elements in the set X.
Answer» if X=\{p: where p=(n+2)(2n^5+3n^4+4n^3+5n^2+6) / n^2+2n and n,p∈ Z^{+ve }\}, then find the number of elements in the set X.

Discussion

926.	Question 3Complete the table of products:First monomial2x−5y3x2−4xy7x2y−9x2y2second monomial2x4x2−−−−−−−−−−−5y−−−−−15x2y−−−−−−3x2−−−−−−−−−−−−−4xy−−−−−−−−−−−−7x2y−−−−−−−−−−−−−9x2y2−−−−−−−−−−−−
Answer» Question 3 Complete the table of products: $\begin{matrix} First monomial & 2 x & - 5 y & 3 x^{2} & - 4 x y & 7 x^{2} y & - 9 x^{2} y^{2} second monomial 2 x & 4 x^{2} & - - & - - & - - & - - & - - - 5 y & - - & - - & - 15 x^{2} y & - - & - - & - - 3 x^{2} & - - & - - & - - & - - & - - & - - - 4 x y & - - & - - & - - & - - & - - & - - 7 x^{2} y & - - & - - & - - & - - & - - & - - - 9 x^{2} y^{2} & - - & - - & - - & - - & - - & - - \end{matrix}$

Discussion

927.	CM and RN are respectively the medians of ΔABC and ΔPQR. If ΔABC∼ΔPQR, prove that: (i) ΔAMC∼ΔPNR(ii) CMRN=ABPQ(iii) ΔCMB∼ΔRNQ[3 MARKS]
Answer» CM and RN are respectively the medians of $Δ A B C$ and $Δ P Q R$ . If $Δ A B C \sim Δ P Q R$ , prove that: (i) $Δ A M C \sim Δ P N R$ (ii) $\frac{C M}{R N} = \frac{A B}{P Q}$ (iii) $Δ C M B \sim Δ R N Q$ [3 MARKS]

927.

CM and RN are respectively the medians of ΔABC and ΔPQR. If ΔABC∼ΔPQR, prove that: (i) ΔAMC∼ΔPNR(ii) CMRN=ABPQ(iii) ΔCMB∼ΔRNQ[3 MARKS]

Answer»

CM and RN are respectively the medians of $Δ A B C$ and $Δ P Q R$ . If $Δ A B C \sim Δ P Q R$ , prove that:

(i) $Δ A M C \sim Δ P N R$

(ii) $\frac{C M}{R N} = \frac{A B}{P Q}$

(iii) $Δ C M B \sim Δ R N Q$

[3 MARKS]

Discussion

928.	If the area of the below shape is 18π cm2, then the value of r is cm
Answer» If the area of the below shape is $18 π {cm}^{2},$ then the value of $r$ is cm

Discussion

929.	The number of subsets of A = {1, 2, 3,4} is _____.
Answer» The number of subsets of A = {1, 2, 3,4} is _____.

Discussion

930.	A book shop offers 10% discount on all the books purchased from it. It also gives one extra book on the purchase of five books. If a man avails this offer, what will be his percentage savings?
Answer» A book shop offers $10 %$ discount on all the books purchased from it. It also gives one extra book on the purchase of five books. If a man avails this offer, what will be his percentage savings?

Discussion

931.	how to solve the \log0.00563
Answer» how to solve the \log0.00563

Discussion

932.	What should be added to (-7/8) so as to get (5/9)?
Answer» What should be added to (-7/8) so as to get (5/9)?

Discussion

933.	Yield of soyabean per acre in quintal in Mukund's field for 7 years was 10, 7, 5, 3, 9, 6, 9. Find the mean of yield per acre.
Answer» Yield of soyabean per acre in quintal in Mukund's field for 7 years was 10, 7, 5, 3, 9, 6, 9. Find the mean of yield per acre.

Discussion

934.	Arrange the following fractions in ascending order from top to bottom.
Answer» Arrange the following fractions in ascending order from top to bottom.

Discussion

935.	Which of the following are constants?
Answer» Which of the following are constants?

Discussion

936.	What does the number line show?
Answer» What does the number line show?

Discussion

937.	A die is thrown 1000 times with the following frequency for the outcomes 1, 2, 3, 4, 5 and 6 as given below : Outcome123456frequency179150157149175190 (i) Find the probability of getting a 4 or a 6 (ii) Find the probability of getting a multiple of 3 [ 2 MARKS]
Answer» A die is thrown 1000 times with the following frequency for the outcomes 1, 2, 3, 4, 5 and 6 as given below : $\begin{matrix} O u t c o m e & 1 & 2 & 3 & 4 & 5 & 6 f r e q u e n c y & 179 & 150 & 157 & 149 & 175 & 190 \end{matrix}$ (i) Find the probability of getting a 4 or a 6 (ii) Find the probability of getting a multiple of 3 [ 2 MARKS]

937.

A die is thrown 1000 times with the following frequency for the outcomes 1, 2, 3, 4, 5 and 6 as given below : Outcome123456frequency179150157149175190 (i) Find the probability of getting a 4 or a 6 (ii) Find the probability of getting a multiple of 3 [ 2 MARKS]

Answer»

A die is thrown 1000 times with the following frequency for the outcomes 1, 2, 3, 4, 5 and 6 as given below :

$\begin{matrix} O u t c o m e & 1 & 2 & 3 & 4 & 5 & 6 f r e q u e n c y & 179 & 150 & 157 & 149 & 175 & 190 \end{matrix}$

(i) Find the probability of getting a 4 or a 6
(ii) Find the probability of getting a multiple of 3 [ 2 MARKS]

Discussion

938.	The of a triangle is the point where the three medians coincide.
Answer» The of a triangle is the point where the three medians coincide.

Discussion

939.	40% can be written in fraction form as
Answer» 40% can be written in fraction form as

Discussion

940.	The value of ((22)2)2 is:
Answer» The value of ${({(2^{2})}^{2})}^{2}$ is:

Discussion

941.	(a) Write the complementary angle of 20°(b) Write the supplementary angle of 108°
Answer» (a) Write the complementary angle of 20° (b) Write the supplementary angle of 108°

941.

(a) Write the complementary angle of 20°(b) Write the supplementary angle of 108°

Answer»

(a) Write the complementary angle of 20°

(b) Write the supplementary angle of 108°

Discussion

942.	2. (1) The mean of 15 number is 27.if each number is multiplied by 4,what will be the mean of new number? (2) The mean of 20 number is 18.if 3 is added to each of the first ten numbers, find the mean of the new set of 20 numbers?
Answer» 2. (1) The mean of 15 number is 27.if each number is multiplied by 4,what will be the mean of new number? (2) The mean of 20 number is 18.if 3 is added to each of the first ten numbers, find the mean of the new set of 20 numbers?

Discussion

943.	What is additive inverse and multiplicative inverse of a number ?
Answer» What is additive inverse and multiplicative inverse of a number ?

Discussion

944.	A right triangle with the lengths of perpendicular sides 5 cm and 6 cm is constructed. Then, the length of the third side is
Answer» A right triangle with the lengths of perpendicular sides 5 cm and 6 cm is constructed. Then, the length of the third side is

Discussion

945.	Which of the complete shapes can be made from the components shown?
Answer» Which of the complete shapes can be made from the components shown?

Discussion

946.	A floor of the room 8 m long and 6 m wide is to be covered by square tiles. If each square tile is 0.8 m, find the number of tiles required to cover the floor. Also, find the cost of tiling at the rate of $7 per tile.
Answer» A floor of the room 8 m long and 6 m wide is to be covered by square tiles. If each square tile is 0.8 m, find the number of tiles required to cover the floor. Also, find the cost of tiling at the rate of $7 per tile.

Discussion

947.	Solve:23+17
Answer» Solve: $\frac{2}{3} + \frac{1}{7}$

947.

Solve:23+17

Answer»

Solve:

$\frac{2}{3} + \frac{1}{7}$

Discussion

948.	Question 69 (vii)Draw the front, side and top view of the given shape.
Answer» Question 69 (vii) Draw the front, side and top view of the given shape.

Discussion

949.	Mention the numerals used in base-2 system.
Answer» Mention the numerals used in base-2 system.

Discussion

950.	ddx(dxdy)⋅ddy(dydx) is equal to
Answer» $\frac{d}{d x} (\frac{d x}{d y}) \cdot \frac{d}{d y} (\frac{d y}{d x})$ is equal to

Discussion

Explore topic-wise InterviewSolutions in .

It is 82% likely that India will win the match means that, ___.

Identify like terms in the following: (a) −xy2, − 4yx2, 8x2, 2xy2, 7y, − 11x2, − 100x, −11yx, 20x2y, −6x2, y, 2xy,3x (b) 10pq, 7p, 8q, − p2q2, − 7qp, − 100q, − 23, 12q2p2, − 5p2, 41, 2405p, 78qp, 13p2q, qp2, 701p2

The available money in Burger's bank is $127 billion. Select the correct option towards representing $127 billion in a scientific notation.

Question 23State whether the given statements are true (T) or false (F).20 g : 100 g = 1m : 500 cm

4200 when expressed as product of prime numbers is.

∫3x+5x2+3x-18dx

Division of a whole number p by a fraction A is the same as multiplying p by ___.

Question 3(v)Express the number appearing in the following statements in standard form:Thickness of a thick paper is 0.07 mm.

The set A = {1,4,9,16,25---} in set builder form is written as:

In the given figure, a square is cut as shown in the first figure and rearranged to form a big square as shown in the second figure. Then find the area of the big square in the second figure.

One of the two digit number of a two digit number is three times the other digit if you want to change the digit of these two number and at the resulting number to the original number you get 88 what is the original number

How a median is different from a perpendicular bisector of a triangle.

A man runs in the east direction and suddenly changes his direction towards the north. After running for some time, he comes back to his original position. Given that the man's path of running is a triangle and one of its angles is 90 degrees, find the sum of the other two angles. [3 MARKS]

A floral design on a floor is made up of 16 tiles which are triangular, the sides of the triangle being 9 cm, 28 cm and 35 cm (see the given figure).Find the cost of polishing the tiles at the rate of 50p per cm2.

What is whole number

The sum of the rational numbers −819 and −457 is _____.

A cyclist covers 950 m in 5 minutes. Find his speed in km/ hour.

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.

Find the value of a and b if b is four more than the half of a and a = b. The answer is given that the value of both a and b is 8 but I didn't understand the method.

Simplify: 245+32025.

83.How many binary operations are there in set having 1 element? If 2or 3?

if X=\{p: where p=(n+2)(2n^5+3n^4+4n^3+5n^2+6) / n^2+2n and n,p∈ Z^{+ve }\}, then find the number of elements in the set X.

CM and RN are respectively the medians of ΔABC and ΔPQR. If ΔABC∼ΔPQR, prove that: (i) ΔAMC∼ΔPNR(ii) CMRN=ABPQ(iii) ΔCMB∼ΔRNQ[3 MARKS]

If the area of the below shape is 18π cm2, then the value of r is cm

The number of subsets of A = {1, 2, 3,4} is _____.

A book shop offers 10% discount on all the books purchased from it. It also gives one extra book on the purchase of five books. If a man avails this offer, what will be his percentage savings?

how to solve the \log0.00563

What should be added to (-7/8) so as to get (5/9)?

Yield of soyabean per acre in quintal in Mukund's field for 7 years was 10, 7, 5, 3, 9, 6, 9. Find the mean of yield per acre.

Arrange the following fractions in ascending order from top to bottom.

Which of the following are constants?

What does the number line show?

A die is thrown 1000 times with the following frequency for the outcomes 1, 2, 3, 4, 5 and 6 as given below : Outcome123456frequency179150157149175190 (i) Find the probability of getting a 4 or a 6 (ii) Find the probability of getting a multiple of 3 [ 2 MARKS]

The of a triangle is the point where the three medians coincide.

40% can be written in fraction form as

The value of ((22)2)2 is:

(a) Write the complementary angle of 20°(b) Write the supplementary angle of 108°

2. (1) The mean of 15 number is 27.if each number is multiplied by 4,what will be the mean of new number? (2) The mean of 20 number is 18.if 3 is added to each of the first ten numbers, find the mean of the new set of 20 numbers?

What is additive inverse and multiplicative inverse of a number ?

A right triangle with the lengths of perpendicular sides 5 cm and 6 cm is constructed. Then, the length of the third side is

Which of the complete shapes can be made from the components shown?

A floor of the room 8 m long and 6 m wide is to be covered by square tiles. If each square tile is 0.8 m, find the number of tiles required to cover the floor. Also, find the cost of tiling at the rate of $7 per tile.

Solve:23+17

Question 69 (vii)Draw the front, side and top view of the given shape.​​​​​​​

Mention the numerals used in base-2 system.

ddx(dxdy)⋅ddy(dydx) is equal to

Question 69 (vii)Draw the front, side and top view of the given shape.