25365 + Interview Questions in Mathematics Page 141 InterviewSolution

7001.	On 1st July, 2019, A drew a bill for ₹ 5,000 on B payable after 3 months. A discounted it with the Bank for ₹ 4,850. On maturity, B failed to pay the amount of his acceptance and the bank had to pay ₹ 50 as noting charges.Pass the necessary Journal entries in the books of A and B.
Answer» On 1st July, 2019, A drew a bill for ₹ 5,000 on B payable after 3 months. A discounted it with the Bank for ₹ 4,850. On maturity, B failed to pay the amount of his acceptance and the bank had to pay ₹ 50 as noting charges. Pass the necessary Journal entries in the books of A and B.

Discussion

7002.

On 1st April, 2018, the following were Ledger balances of M/s. Ram & Co., Delhi: Cash in Hand ₹ 300; Cash at Bank ₹ 7,000; Bills Payable ₹ 1,000; Zahir (Dr.) ₹ 800; Stock ₹ 4,000; Gobind (Cr.) ₹ 2,000; Sharma (Dr.) ₹ 1,500; Rahul (Cr.) ₹ 900; Capital ₹ 9,700. Transactions during the month of April, 2018 were: 2018 ₹ April 2 Bought goods from Gobind, Delhi 900 April 3 Sold goods to Sharma, Kanpur 1,000 April 5 Bought goods from Rahul, Delhi 1,200 April 8 Sold goods to Zahir, Kolkata 500 April 15 Paid Gobind by cheque* 1,500 April 18 Received from a cheque of 2,000 Allowed him discount* 50 April 20 Sold goods to Sharma, Kanpur 800 April 20 Paid rent by cheque 200 April 25 Sold goods to Zahir, Kolkata 1,000 April 30 Paid salaries in cash* 300 Inter-state transactions are subject to levy of IGST 12% and Intra-state transactions are subject to levy of CGST and SGST 6% each. GST is not levied on transactions marked with (*).Post the above transactions to the Ledger and prepare the Trial Balance on 30th April,2018.[Trial Balance Total- ₹ 18,148]

Answer» On 1st April, 2018, the following were Ledger balances of M/s. Ram & Co., Delhi: Cash in Hand ₹ 300; Cash at Bank ₹ 7,000; Bills Payable ₹ 1,000; Zahir (Dr.) ₹ 800; Stock ₹ 4,000; Gobind (Cr.) ₹ 2,000; Sharma (Dr.) ₹ 1,500; Rahul (Cr.) ₹ 900; Capital ₹ 9,700. Transactions during the month of April, 2018 were:


2018		₹
April 2	Bought goods from Gobind, Delhi	900
April 3	Sold goods to Sharma, Kanpur	1,000
April 5	Bought goods from Rahul, Delhi	1,200
April 8	Sold goods to Zahir, Kolkata	500
April 15	Paid Gobind by cheque*	1,500
April 18	Received from a cheque of	2,000
	Allowed him discount*	50
April 20	Sold goods to Sharma, Kanpur	800
April 20	Paid rent by cheque	200
April 25	Sold goods to Zahir, Kolkata	1,000
April 30	Paid salaries in cash*	300

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

Post the above transactions to the Ledger and prepare the Trial Balance on 30th April,2018.

[Trial Balance Total

-

₹ 18,148]

Discussion

7003.	Which of the following is a like term of 10x2?
Answer» Which of the following is a like term of $10 x^{2}$ ?

Discussion

7004.	A cube is cut into x smaller cubes each of volume 8 cm3. If volume of entire cube is 512 cm3. Find x.
Answer» A cube is cut into $x$ smaller cubes each of volume $8 c m^{3}$ . If volume of entire cube is $512 c m^{3}$ . Find $x .$

Discussion

7005.	If 3x+2x=7, then 9x2-4x2=(a) 25(b) 35(c) 49(d) 30
Answer» If $3 x + \frac{2}{x} = 7$ , then $(9 x^{2} - \frac{4}{x^{2}}) =$ (a) 25 (b) 35 (c) 49 (d) 30

Discussion

7006.	nttwo identical uniform bricks of length l are placed in stack over the edge of horizontal surface with the maximum overhang possible without falling? find x?n
Answer» nttwo identical uniform bricks of length l are placed in stack over the edge of horizontal surface with the maximum overhang possible without falling? find x?n

Discussion

7007.	By selling a radio for rupees 528 Rohit gains 10% find his cost price
Answer» By selling a radio for rupees 528 Rohit gains 10% find his cost price

Discussion

7008.	A fan is listed at ₹ 1500 and a discount of 20% is offered on the list price. What additional discount must be offered to the customer to bring the net price to ₹ 1104.
Answer» A fan is listed at ₹ 1500 and a discount of 20% is offered on the list price. What additional discount must be offered to the customer to bring the net price to ₹ 1104.

Discussion

7009.	Why we use log\|x\| ?what is meaning of log ? How this log is used in real world?
Answer» Why we use log\|x\| ?what is meaning of log ? How this log is used in real world?

Discussion

7010.	In the given question, fill in the blanks to make the statement true.The difference of a two-digit number and the number obtained by reversing its digits is always divisible by ___.
Answer» In the given question, fill in the blanks to make the statement true. The difference of a two-digit number and the number obtained by reversing its digits is always divisible by ___.

Discussion

7011.	Construct a quadrilateral ABCD in which AB = 5.5 cm, AD = 4.4 cm, CD = 6.5 cm, AC = 6.5 cm and BD = 7.1 cm.
Answer» Construct a quadrilateral ABCD in which AB = 5.5 cm, AD = 4.4 cm, CD = 6.5 cm, AC = 6.5 cm and BD = 7.1 cm.

Discussion

7012.	{ 5. If }(a-b)^2-4(1-a-b)>0∀ b∈ R. Then find }} the minimum integral value of a.
Answer» { 5. If }(a-b)^2-4(1-a-b)>0∀ b∈ R. Then find }} the minimum integral value of a.

Discussion

7013.	Question 26Fill in the blanks to make the statements true.There are ___ perfect cubes between 1 and 1000.
Answer» Question 26 Fill in the blanks to make the statements true. There are ___ perfect cubes between 1 and 1000.

7013.

Question 26Fill in the blanks to make the statements true.There are ___ perfect cubes between 1 and 1000.

Answer»

Question 26

Fill in the blanks to make the statements true.

There are ___ perfect cubes between 1 and 1000.

Discussion

7014.	The square root of (3a+2b+3c)^2-(2a+3b+2c)^2+5b^2 is
Answer» The square root of (3a+2b+3c)^2-(2a+3b+2c)^2+5b^2 is

Discussion

7015.	State whether the following statement is true or false.Any two squares are congruent to each other.
Answer» State whether the following statement is true or false. Any two squares are congruent to each other.

Discussion

7016.	Find the CI on ₹20,000 for 3 years at 10% per annum compounded annually.
Answer» Find the CI on ₹20,000 for 3 years at 10% per annum compounded annually.

Discussion

7017.	if{}^8C_r-{}^7C_3={}^7C_{}, find the value ofr.
Answer» if{}^8C_r-{}^7C_3={}^7C_{}, find the value ofr.

Discussion

7018.	Check the commutative property of addition for the following pairs:
Answer» Check the commutative property of addition for the following pairs:

7018.

Check the commutative property of addition for the following pairs:

Answer»

Check the commutative property of addition for the following pairs:

Discussion

7019.	In the given figure, what are the values of X and Y?
Answer» In the given figure, what are the values of X and Y?

Discussion

7020.	If x+1x=3, then x6+1x6 =(a) 927(b) 414(c) 364(d) 322
Answer» If $x + \frac{1}{x} = 3$ , then $x^{6} + \frac{1}{x^{6}}$ = (a) 927 (b) 414 (c) 364 (d) 322

Discussion

7021.	Find the difference between the mean and range of the following data set.12, 86, 45, 78, 23, 56
Answer» Find the difference between the mean and range of the following data set. 12, 86, 45, 78, 23, 56

Discussion

7022.	Four times the sum of the areas of the two circular faces of a cylinder is equal to the twice its curved surface area. The height of the cylinder is ________ the radius.
Answer» Four times the sum of the areas of the two circular faces of a cylinder is equal to the twice its curved surface area. The height of the cylinder is ________ the radius.

Discussion

7023.	What will be the angle in degree if the value of the angle in radians is 5π/12.
Answer» What will be the angle in degree if the value of the angle in radians is 5π/12.

Discussion

7024.	State whether the given statement is True or False.(−35)100=−3100−5100
Answer» State whether the given statement is True or False. ${(\frac{- 3}{5})}^{100} = \frac{- 3^{100}}{- 5^{100}}$

Discussion

7025.	150 workers were engaged to finish a piece of work in a certain number of days 4workers dropped the second day 4 more workers dropped the third day and so on it takes 8 more days to finish the work now find the number of days in which the work was completed
Answer» 150 workers were engaged to finish a piece of work in a certain number of days 4workers dropped the second day 4 more workers dropped the third day and so on it takes 8 more days to finish the work now find the number of days in which the work was completed

Discussion

7026.	Question 05.In a family having three children, there may be no girl, one girl, two girls or three girls. So, the probability of each is 14. Is this correcct ? Justify your answer.
Answer» Question 05. In a family having three children, there may be no girl, one girl, two girls or three girls. So, the probability of each is $\frac{1}{4}$ . Is this correcct ? Justify your answer.

Discussion

7027.	Difference between Equlids division lemma and Equlids division algorithm
Answer» Difference between Equlids division lemma and Equlids division algorithm

Discussion

7028.	Match the following parts of the circle with their respective areas.
Answer» Match the following parts of the circle with their respective areas.

Discussion

7029.	Question 21The following is the map of a town. Based on it answer the question.According to the map, the number of schools in the town is(a) 4(b) 3(c) 5(d) 12
Answer» Question 21 The following is the map of a town. Based on it answer the question. According to the map, the number of schools in the town is (a) 4 (b) 3 (c) 5 (d) 12

Discussion

7030.	In the figure, two sides AB, BC and the median AD of ΔABC are respectively equal to two sides PQ, QR and median PS of ΔPQR. Prove that(i) ΔADB ≅ ΔPSQ;(ii) ΔADC ≅ ΔPSR.Does it follow that triangles ABC and PQR are congruent?
Answer» In the figure, two sides AB, BC and the median AD of ΔABC are respectively equal to two sides PQ, QR and median PS of ΔPQR. Prove that (i) ΔADB ≅ ΔPSQ; (ii) ΔADC ≅ ΔPSR. Does it follow that triangles ABC and PQR are congruent?

7030.

In the figure, two sides AB, BC and the median AD of ΔABC are respectively equal to two sides PQ, QR and median PS of ΔPQR. Prove that(i) ΔADB ≅ ΔPSQ;(ii) ΔADC ≅ ΔPSR.Does it follow that triangles ABC and PQR are congruent?

Answer»

In the figure, two sides AB, BC and the median AD of ΔABC are respectively equal to two sides PQ, QR and median PS of ΔPQR. Prove that

(i) ΔADB ≅ ΔPSQ;

(ii) ΔADC ≅ ΔPSR.

Does it follow that triangles ABC and PQR are congruent?

Discussion

7031.	Which of the following fractions is equivalent to 25% ?(a) 14(b) 15(c) 13(d) 12
Answer» Which of the following fractions is equivalent to 25% ? (a) $\frac{1}{4}$ (b) $\frac{1}{5}$ (c) $\frac{1}{3}$ (d) $\frac{1}{2}$

Discussion

7032.	In the given figure, ∆PQR is an equilateral triangle. Point S is on seg QR such thatQS = 13 QR.Prove that : 9 PS2 = 7 PQ2
Answer» In the given figure, ∆PQR is an equilateral triangle. Point S is on seg QR such that QS = $\frac{1}{3}$ QR. Prove that : 9 PS²= 7 PQ²

Discussion

7033.	A cube of side 4 cm is cut into cubes of side 1 cm. Find the ratio of the surface area of the original cube to that of cut out cube.
Answer» A cube of side 4 cm is cut into cubes of side 1 cm. Find the ratio of the surface area of the original cube to that of cut out cube.

Discussion

7034.	1. Simplify 3/7+-(6/11)+(-8/21)+5/22
Answer» 1. Simplify 3/7+-(6/11)+(-8/21)+5/22

Discussion

7035.	Question 86(i)A die is rolled once. What is the probability that the number on top will be Odd ?
Answer» Question 86(i) A die is rolled once. What is the probability that the number on top will be Odd ?

7035.

Question 86(i)A die is rolled once. What is the probability that the number on top will be Odd ?

Answer»

Question 86(i)

A die is rolled once. What is the probability that the number on top will be Odd ?

Discussion

7036.	if x-1/x=-1 then find the value of x^6+2x^6+x^4
Answer» if x-1/x=-1 then find the value of x^6+2x^6+x^4

Discussion

7037.	1IUTIbel Ul es by 1 pullitS IT WICiTIUe pulnits al Co2\ast(ii) Number of lines by n points out of which m points are collinear and except these m points no three pointsare collinear is "C2 - mC2 + 1.-3) why 1 is added her
Answer» 1IUTIbel Ul es by 1 pullitS IT WICiTIUe pulnits al Co2\ast(ii) Number of lines by n points out of which m points are collinear and except these m points no three pointsare collinear is "C2 - mC2 + 1.-3) why 1 is added her

Discussion

7038.	Multiply the reciprocals of −52,435 and add the additive inverse of 32 to the product. Find the result.
Answer» Multiply the reciprocals of $\frac{- 5}{2}, \frac{4}{35}$ and add the additive inverse of $\frac{3}{2}$ to the product. Find the result.

Discussion

7039.	If 50 is subtracted from a number, the result is 4. Find the number.
Answer» If $50$ is subtracted from a number, the result is $4$ . Find the number.

Discussion

7040.	25mnnm×52mmnn =
Answer» $\frac{2}{5} m^{n} n^{m} \times \frac{5}{2} m^{m} n^{n}$ =

Discussion

7041.	Which is the smallest positive number?
Answer» Which is the smallest positive number?

Discussion

7042.	Evaluate 8y = 2x - 5 for f(x) = 0.
Answer» Evaluate 8y = 2x - 5 for f(x) = 0.

Discussion

7043.	Evaluate the exponential expression x5 × x4, for x = 2.
Answer» Evaluate the exponential expression $x^{5}$ × $x^{4}$ , for x = 2.

Discussion

7044.	Factorise: 3ax-6ay-8by+4bx
Answer» Factorise: 3ax-6ay-8by+4bx

Discussion

7045.	SeasonNo. of votesSummer90Rainy120Winter150 A group of 360 people were asked to vote for their favourite season from the three seasons: rainy, winter and summer. Find the central angle of each sector in a pie chart for the above information. [4 MARKS]
Answer» $\begin{matrix} Season & No. of votes Summer & 90 Rainy & 120 Winter & 150 \end{matrix}$ A group of 360 people were asked to vote for their favourite season from the three seasons: rainy, winter and summer. Find the central angle of each sector in a pie chart for the above information. [4 MARKS]

Discussion

7046.	In Manali, the temperature was – 5°C on Monday and then it dropped by 2°C on Tuesday. On Wednesday, it rose by 4°C. What was the temperature on wednesday?
Answer» In Manali, the temperature was – 5°C on Monday and then it dropped by 2°C on Tuesday. On Wednesday, it rose by 4°C. What was the temperature on wednesday?

Discussion

7047.	There are three consecutive numbers whose sum is 129. Find the square of the middle one.
Answer» There are three consecutive numbers whose sum is 129. Find the square of the middle one.

Discussion

7048.	Question 58(iv)Study the distance-time graph given below for a car to travel to certain places and answer the question that follows.How far is Q from the starting point?
Answer» Question 58(iv) Study the distance-time graph given below for a car to travel to certain places and answer the question that follows. How far is Q from the starting point?

Discussion

7049.	Question 152 (i)A rectangle MORE is shown below.Answer the following questions by giving an appropriate reason.Is RE = OM?
Answer» Question 152 (i) A rectangle MORE is shown below. Answer the following questions by giving an appropriate reason. Is RE = OM?

Discussion

7050.	Find the value of: 17+(67+1)+(42+13)+1137
Answer» $Find the value of: \frac{1}{7} + (\frac{6}{7} + 1) + (\frac{4}{2} + \frac{1}{3}) + \frac{11}{3}$ 7

Discussion

Explore topic-wise InterviewSolutions in .

On 1st July, 2019, A drew a bill for ₹ 5,000 on B payable after 3 months. A discounted it with the Bank for ₹ 4,850. On maturity, B failed to pay the amount of his acceptance and the bank had to pay ₹ 50 as noting charges.Pass the necessary Journal entries in the books of A and B.

Which of the following is a like term of 10x2?

A cube is cut into x smaller cubes each of volume 8 cm3. If volume of entire cube is 512 cm3. Find x.

If 3x+2x=7, then 9x2-4x2=(a) 25(b) 35(c) 49(d) 30

nttwo identical uniform bricks of length l are placed in stack over the edge of horizontal surface with the maximum overhang possible without falling? find x?n

By selling a radio for rupees 528 Rohit gains 10% find his cost price

A fan is listed at ₹ 1500 and a discount of 20% is offered on the list price. What additional discount must be offered to the customer to bring the net price to ₹ 1104.

Why we use log|x| ?what is meaning of log ? How this log is used in real world?

In the given question, fill in the blanks to make the statement true.The difference of a two-digit number and the number obtained by reversing its digits is always divisible by ___.

Construct a quadrilateral ABCD in which AB = 5.5 cm, AD = 4.4 cm, CD = 6.5 cm, AC = 6.5 cm and BD = 7.1 cm.

{ 5. If }(a-b)^2-4(1-a-b)>0∀ b∈ R. Then find }} the minimum integral value of a.

Question 26Fill in the blanks to make the statements true.There are ___ perfect cubes between 1 and 1000.

The square root of (3a+2b+3c)^2-(2a+3b+2c)^2+5b^2 is

State whether the following statement is true or false.Any two squares are congruent to each other.

Find the CI on ₹20,000 for 3 years at 10% per annum compounded annually.

if{}^8C_r-{}^7C_3={}^7C_{}, find the value ofr.

Check the commutative property of addition for the following pairs:

In the given figure, what are the values of X and Y?

If x+1x=3, then x6+1x6 =(a) 927(b) 414(c) 364(d) 322

Find the difference between the mean and range of the following data set.12, 86, 45, 78, 23, 56

Four times the sum of the areas of the two circular faces of a cylinder is equal to the twice its curved surface area. The height of the cylinder is ________ the radius.

What will be the angle in degree if the value of the angle in radians is 5π/12.

State whether the given statement is True or False.(−35)100=−3100−5100

150 workers were engaged to finish a piece of work in a certain number of days 4workers dropped the second day 4 more workers dropped the third day and so on it takes 8 more days to finish the work now find the number of days in which the work was completed

Question 05.In a family having three children, there may be no girl, one girl, two girls or three girls. So, the probability of each is 14. Is this correcct ? Justify your answer.

Difference between Equlids division lemma and Equlids division algorithm

Match the following parts of the circle with their respective areas.

Question 21The following is the map of a town. Based on it answer the question.According to the map, the number of schools in the town is(a) 4(b) 3(c) 5(d) 12

In the figure, two sides AB, BC and the median AD of ΔABC are respectively equal to two sides PQ, QR and median PS of ΔPQR. Prove that(i) ΔADB ≅ ΔPSQ;(ii) ΔADC ≅ ΔPSR.Does it follow that triangles ABC and PQR are congruent?

Which of the following fractions is equivalent to 25% ?(a) 14(b) 15(c) 13(d) 12

In the given figure, ∆PQR is an equilateral triangle. Point S is on seg QR such thatQS = 13 QR.Prove that : 9 PS2 = 7 PQ2

A cube of side 4 cm is cut into cubes of side 1 cm. Find the ratio of the surface area of the original cube to that of cut out cube.

1. Simplify 3/7+-(6/11)+(-8/21)+5/22

Question 86(i)A die is rolled once. What is the probability that the number on top will be Odd ?

if x-1/x=-1 then find the value of x^6+2x^6+x^4

1IUTIbel Ul es by 1 pullitS IT WICiTIUe pulnits al Co2\ast(ii) Number of lines by n points out of which m points are collinear and except these m points no three pointsare collinear is "C2 - mC2 + 1.-3) why 1 is added her

Multiply the reciprocals of −52,435 and add the additive inverse of 32 to the product. Find the result.

If 50 is subtracted from a number, the result is 4. Find the number.

25mnnm×52mmnn =

Which is the smallest positive number?

Evaluate 8y = 2x - 5 for f(x) = 0.

Evaluate the exponential expression x5 × x4, for x = 2.

Factorise: 3ax-6ay-8by+4bx

SeasonNo. of votesSummer90Rainy120Winter150 A group of 360 people were asked to vote for their favourite season from the three seasons: rainy, winter and summer. Find the central angle of each sector in a pie chart for the above information. [4 MARKS]

In Manali, the temperature was – 5°C on Monday and then it dropped by 2°C on Tuesday. On Wednesday, it rose by 4°C. What was the temperature on wednesday?

There are three consecutive numbers whose sum is 129. Find the square of the middle one.

Question 58(iv)Study the distance-time graph given below for a car to travel to certain places and answer the question that follows.How far is Q from the starting point?

Question 152 (i)A rectangle MORE is shown below.Answer the following questions by giving an appropriate reason.Is RE = OM?

Find the value of: 17+(67+1)+(42+13)+1137