19743 + Interview Questions in Mathematics Page 157 InterviewSolution

7801.	(a) Mohan started a business on 1st April , 2017 with a capital of ₹ 10,000 and borrowed ₹ 3,000 form a friend . He earned a profit of ₹ 5,000 during the year ended 31st March, 2018 and withdrew cash ₹ 4,000 for private use. What is his capital on 31st March, 2018?(b) Mahesh started a business with a capital of ₹ 15,000 on 1st April, 2017. During the year, he made a profit of ₹ 3,000. He owes ₹ 2,500 to suppliers of goods . What is the total of assets in his business on 31st March, 2018?
Answer» (a) Mohan started a business on 1st April , 2017 with a capital of ₹ 10,000 and borrowed ₹ 3,000 form a friend . He earned a profit of ₹ 5,000 during the year ended 31st March, 2018 and withdrew cash ₹ 4,000 for private use. What is his capital on 31st March, 2018? (b) Mahesh started a business with a capital of ₹ 15,000 on 1st April, 2017. During the year, he made a profit of ₹ 3,000. He owes ₹ 2,500 to suppliers of goods . What is the total of assets in his business on 31st March, 2018?

Discussion

7802.	Question 7Using Euler's formula, find the unknown:Faces?520Vertices6?12Edges129?
Answer» Question 7 Using Euler's formula, find the unknown: $\begin{matrix} Faces & ? & 5 & 20 Vertices & 6 & ? & 12 Edges & 12 & 9 & ? \end{matrix}$

Discussion

7803.	What condition can change the sign of an inequality?
Answer» What condition can change the sign of an inequality?

Discussion

7804.	The closed figure having four equal sides and four equal angles of 90o is known as
Answer» The closed figure having four equal sides and four equal angles of $90^{o}$ is known as

Discussion

7805.	Which integer in each of the following pairs is to the right of the other on the number line?(a) 1, 7(b) -2, -5 (c) 0, -3(d) -5, 8
Answer» Which integer in each of the following pairs is to the right of the other on the number line? (a) 1, 7 (b) -2, -5 (c) 0, -3 (d) -5, 8

Discussion

7806.	Two parallel lines l and m are cut by a transversal t. If the interior angles on the same side of the transversal t be 2x−9 and 3x−7 . Find the measure of each angle.
Answer» Two parallel lines $l$ and $m$ are cut by a transversal $t$ . If the interior angles on the same side of the transversal $t$ be $2 x - 9$ and $3 x - 7$ . Find the measure of each angle.

Discussion

7807.	P and Q undertake work for Rs. 560. P and Q can complete the work in 6 days and 8 days, respectively. With the help of R they completed the work in 3 days. Find the share of Q. Q6. P और Q 560 रु मूल्य के किसी काम को करते हैं। P एवं Q एक काम को क्रमशः 6 एवं 8 दिनों में पूरा कर सकते हैं । R की मदद से वह इस काम को 3 दिनों मे पूरा करते है । Q का हिस्सा बताएँ।
Answer» P and Q undertake work for Rs. 560. P and Q can complete the work in 6 days and 8 days, respectively. With the help of R they completed the work in 3 days. Find the share of Q. Q6. P और Q 560 रु मूल्य के किसी काम को करते हैं। P एवं Q एक काम को क्रमशः 6 एवं 8 दिनों में पूरा कर सकते हैं । R की मदद से वह इस काम को 3 दिनों मे पूरा करते है । Q का हिस्सा बताएँ।

7807.

P and Q undertake work for Rs. 560. P and Q can complete the work in 6 days and 8 days, respectively. With the help of R they completed the work in 3 days. Find the share of Q. Q6. P और Q 560 रु मूल्य के किसी काम को करते हैं। P एवं Q एक काम को क्रमशः 6 एवं 8 दिनों में पूरा कर सकते हैं । R की मदद से वह इस काम को 3 दिनों मे पूरा करते है । Q का हिस्सा बताएँ।

Answer»

P and Q undertake work for Rs. 560. P and Q can complete the work in 6 days and 8 days, respectively. With the help of R they completed the work in 3 days. Find the share of Q.

Q6. P और Q 560 रु मूल्य के किसी काम को करते हैं। P एवं Q एक काम को क्रमशः 6 एवं 8 दिनों में पूरा कर सकते हैं । R की मदद से वह इस काम को 3 दिनों मे पूरा करते है । Q का हिस्सा बताएँ।

Discussion

7808.	If 32×x=81, Find x.
Answer» If $3^{2} \times x = 81$ , Find $x$ .

Discussion

7809.	[x+[x]]is less than equal to 2Then x belongs to
Answer» [x+[x]]is less than equal to 2 Then x belongs to

Discussion

7810.	a½+b½-c½=0 then find the value of (a+b-c)
Answer» a½+b½-c½=0 then find the value of (a+b-c)

Discussion

7811.

Pass entries for the following transactions in the books of M/s Karthikeyan & Co. of Chennai: 2019 June 10 Purchased goods from Ravichandran of Madurai of the list price of ₹ 2,00,000 at 25% trade discount at 4% cash discount on purchase price of goods. Paid CGST and SGST 9% each. Paid the entire amount by cheque on the same date. June 25 Sold goods to Ramalingam of Erode of the list price of ₹ 3,75,000 at 20% trade discount and 2% cash discount on sale price. Charged CGST and SGST 9% each. Full amount was received by cheque on the same date. Ignore adjustment and payment of GST.

Answer» Pass entries for the following transactions in the books of M/s Karthikeyan & Co. of Chennai:

2019
June 10	Purchased goods from Ravichandran of Madurai of the list price of ₹ 2,00,000 at 25% trade discount at 4% cash discount on purchase price of goods. Paid CGST and SGST 9% each. Paid the entire amount by cheque on the same date.
June 25	Sold goods to Ramalingam of Erode of the list price of ₹ 3,75,000 at 20% trade discount and 2% cash discount on sale price. Charged CGST and SGST 9% each. Full amount was received by cheque on the same date.

Ignore adjustment and payment of GST.

Discussion

7812.	A bag contains 2 pink, 3 red and 5 blue balls. Find the ratio of pink balls to the total number of balls. (Select all that apply)
Answer» A bag contains 2 pink, 3 red and 5 blue balls. Find the ratio of pink balls to the total number of balls. (Select all that apply)

Discussion

7813.	Factorising and dividing a2+7a+10 by (a+5) gives:
Answer» Factorising and dividing $a^{2} + 7 a + 10$ by $(a + 5)$ gives:

Discussion

7814.	5x×(−4yz)×3xz = ___
Answer» $5 x \times (- 4 y z) \times 3 x z$ = ___

Discussion

7815.	Find the probablity of Selecting a prime number from 3 ,5,6,7 9,11,12,13,15.
Answer» Find the probablity of Selecting a prime number from 3 ,5,6,7 9,11,12,13,15.

Discussion

7816.	In which situation an angle bisector cannot be constructed to bisect the angle formed between two given lines?
Answer» In which situation an angle bisector cannot be constructed to bisect the angle formed between two given lines?

Discussion

7817.	Arrange in ascending order.. .. 5/12 ,3/4 ,7/8, 13/24
Answer» Arrange in ascending order.. .. 5/12 ,3/4 ,7/8, 13/24

7817.

Arrange in ascending order.. .. 5/12 ,3/4 ,7/8, 13/24

Answer»

Arrange in ascending order.. ..

5/12 ,3/4 ,7/8, 13/24

Discussion

7818.	Question 2 (iii)Formulate the following problems as a pair of equations, and hence find their solutions:Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.
Answer» Question 2 (iii) Formulate the following problems as a pair of equations, and hence find their solutions: Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.

Discussion

7819.	Where does the value -3.224 occur on the number line?
Answer» Where does the value -3.224 occur on the number line?

Discussion

7820.	Find the side and perimeter of a square whose diagonal is 10 cm.
Answer» Find the side and perimeter of a square whose diagonal is 10 cm.

Discussion

7821.	Question 1 Out of the four options, only one is correct. Write the correct answer. An algebraic expression containing three terms is called a (a) monomial (b) binomial (c) trinomial (d) All of these
Answer» Question 1 Out of the four options, only one is correct. Write the correct answer. An algebraic expression containing three terms is called a (a) monomial (b) binomial (c) trinomial (d) All of these

7821.

Question 1 Out of the four options, only one is correct. Write the correct answer. An algebraic expression containing three terms is called a (a) monomial (b) binomial (c) trinomial (d) All of these

Answer»

Question 1

Out of the four options, only one is correct. Write the correct answer.

An algebraic expression containing three terms is called a

(a) monomial
(b) binomial
(c) trinomial
(d) All of these

Discussion

7822.	Using coordinate geometry, prove that thediagonals of a rhombus are perpendicular to eachother.
Answer» Using coordinate geometry, prove that thediagonals of a rhombus are perpendicular to eachother.

Discussion

7823.	Find the unknown in 1x≤23, if x is a positive number.
Answer» Find the unknown in $\frac{1}{x} \leq \frac{2}{3}$ , if $x$ is a positive number.

Discussion

7824.	Suddenly, it hit Jack. He realized that he still in past. What went wrong? His AYC (Analog Year Counter) calculated the median of the all the inputs to it and travelled to that year. Jack remembered that when he finally checked everything, the port of AYC was open. Then he realized that some random stranger must have entered some random values into it. What a small thing to miss! According to the given data set of future years, which might be Jack in then? 1700 1680 1800 1820 1760 1740 1720 1840 1780 1860
Answer» Suddenly, it hit Jack. He realized that he still in past. What went wrong? His AYC (Analog Year Counter) calculated the median of the all the inputs to it and travelled to that year. Jack remembered that when he finally checked everything, the port of AYC was open. Then he realized that some random stranger must have entered some random values into it. What a small thing to miss! According to the given data set of future years, which might be Jack in then? 1700 1680 1800 1820 1760 1740 1720 1840 1780 1860

7824.

Suddenly, it hit Jack. He realized that he still in past. What went wrong? His AYC (Analog Year Counter) calculated the median of the all the inputs to it and travelled to that year. Jack remembered that when he finally checked everything, the port of AYC was open. Then he realized that some random stranger must have entered some random values into it. What a small thing to miss! According to the given data set of future years, which might be Jack in then? 1700 1680 1800 1820 1760 1740 1720 1840 1780 1860

Answer»

Suddenly, it hit Jack. He realized that he still in past. What went wrong? His AYC (Analog Year Counter) calculated the median of the all the inputs to it and travelled to that year. Jack remembered that when he finally checked everything, the port of AYC was open. Then he realized that some random stranger must have entered some random values into it. What a small thing to miss!

According to the given data set of future years, which might be Jack in then?
1700 1680 1800 1820 1760 1740 1720 1840 1780 1860

Discussion

7825.	Which of the following would end with the digit 1?
Answer» Which of the following would end with the digit 1?

Discussion

7826.	How many interior angle bisectors are there in a triangle?
Answer» How many interior angle bisectors are there in a triangle?

Discussion

7827.	Question 84Find the number of cubes in the base layer of the following figure.
Answer» Question 84 Find the number of cubes in the base layer of the following figure.

Discussion

7828.	Question 2 (iii)Find: 1634
Answer» Question 2 (iii) Find: $16^{\frac{3}{4}}$

Discussion

7829.	the perimeter of similar triangles ABC and PQR is 180 cm and 50 cm respectively. If QR=5 what is the value of BC
Answer» the perimeter of similar triangles ABC and PQR is 180 cm and 50 cm respectively. If QR=5 what is the value of BC

Discussion

7830.	Find the median of the following data set. 70 50 90 120 110 100 80 60
Answer» Find the median of the following data set. 70 50 90 120 110 100 80 60

Discussion

7831.	If the area of a square is same as the area of a circle, then the ratio of their perimeters, in terms of π, is(a) π : 3(b) 2 : π(c) 3 : π(d) π : 2
Answer» If the area of a square is same as the area of a circle, then the ratio of their perimeters, in terms of π, is (a) π : $\sqrt{3}$ (b) 2 : $\sqrt{π}$ (c) 3 : $π$ (d) $π : \sqrt{2}$

Discussion

7832.	Mark the correct alternative in the following question:2x2×3xy2×4x3y5 is equal toa 24x6y6 b 24x6y7 c 24x7y6 d 24x7y7
Answer» Mark the correct alternative in the following question: $2 x^{2} \times 3 x y^{2} \times 4 x^{3} y^{5} is equal to (a) 24 x^{6} y^{6} (b) 24 x^{6} y^{7} (c) 24 x^{7} y^{6} (d) 24 x^{7} y^{7}$

Discussion

7833.	What is the median of these scores: 62,56,74,72,68,110?
Answer» What is the median of these scores: $62, 56, 74, 72, 68, 110$ ?

Discussion

7834.	Find out the wrong number in the series given below :7,28,63,124,215
Answer» Find out the wrong number in the series given below : $7, 28, 63, 124, 215$

Discussion

7835.	Let ABC be a triangle insscribed in a circle with centre O such that angle C=90°. Prove that AB is diameter of the circle.
Answer» Let ABC be a triangle insscribed in a circle with centre O such that angle C=90°. Prove that AB is diameter of the circle.

Discussion

7836.	If AM is a median of triangle ABC, then which of the following relation will always hold good?
Answer» If AM is a median of triangle ABC, then which of the following relation will always hold good?

Discussion

7837.	The price of all televisions in a shop is increased by 10%. Calculate the new price of a television that originally cost ₹20,000.
Answer» The price of all televisions in a shop is increased by $10 %$ . Calculate the new price of a television that originally cost ₹20,000.

Discussion

7838.	Tom used to workout every 6 days and Sam every 7 days. Tom and Sam both did workout together today. After how many minimum days will they both workout together?
Answer» Tom used to workout every 6 days and Sam every 7 days. Tom and Sam both did workout together today. After how many minimum days will they both workout together?

Discussion

7839.	In the figure given below AB = 3 cm, AC = 5 cm and AD = 4 cm and D is the midpoint of BC. Then BD = 1
Answer» In the figure given below AB = 3 cm, AC = 5 cm and AD = 4 cm and D is the midpoint of BC. Then BD = 1

Discussion

7840.	Construct a triangle DEF, in which EF = 4.5 cm, DF = 6.8 cm, ∠F = 110°.
Answer» Construct a triangle DEF, in which EF = 4.5 cm, DF = 6.8 cm, ∠F = 110°.

Discussion

7841.	The solid whose net is given below is:
Answer» The solid whose net is given below is:

7841.

The solid whose net is given below is:

Answer»

The solid whose net is given below is:

Discussion

7842.	The difference between the squares of two alternate natural numbers is 28. Find out the sum of the numbers.
Answer» The difference between the squares of two alternate natural numbers is 28. Find out the sum of the numbers.

Discussion

7843.	Which of the following rational number lies between 56 and 43?
Answer» Which of the following rational number lies between $\frac{5}{6}$ and $\frac{4}{3}$ ?

Discussion

7844.	The mean of the observations 1, 3, 5, 7, 9, ..., 99 is _________.
Answer» The mean of the observations 1, 3, 5, 7, 9, ..., 99 is _________.

Discussion

7845.	In the figure given, what are the values of a, b and c respectively?
Answer» In the figure given, what are the values of a, b and c respectively?

Discussion

7846.	a×(b+c)=
Answer» $a \times (b + c) =$

Discussion

7847.	After the Physics lab, there was Math class and the teacher was discussing if there is any need to categorize these 3D shapes. He said "The 3D shapes with at least one curved face are called non-polyhedrons” and asked what could be 3D shapes with flat surfaces are called ___?
Answer» After the Physics lab, there was Math class and the teacher was discussing if there is any need to categorize these 3D shapes. He said "The 3D shapes with at least one curved face are called non-polyhedrons” and asked what could be 3D shapes with flat surfaces are called ___?

Discussion

7848.	There are 10 observations arranged in ascending order as given below. 45, 47 ,50 ,52, x, x+2, 60,62,63,74. The median of these observations is 53.Find the value of x. Also find the mean and the mode of the data.
Answer» There are 10 observations arranged in ascending order as given below. 45, 47 ,50 ,52, x, x+2, 60,62,63,74. The median of these observations is 53. Find the value of x. Also find the mean and the mode of the data.

Discussion

7849.	A and B are the logical inputs and X is the logical output shown in the figure. The output X is related to A and B by
Answer» A and B are the logical inputs and X is the logical output shown in the figure. The output X is related to A and B by

Discussion

7850.

Question 88 Each of the 2 equal sides of an isosceles triangle is twice as large as the third side. If the perimeter of the triangle is 30 cm, find the length of each side of the triangle.

Answer»

Question 88

Each of the 2 equal sides of an isosceles triangle is twice as large as the third side. If the perimeter of the triangle is 30 cm, find the length of each side of the triangle.

Discussion

Explore topic-wise InterviewSolutions in .

Question 7Using Euler's formula, find the unknown:Faces?520Vertices6?12Edges129?

What condition can change the sign of an inequality?

The closed figure having four equal sides and four equal angles of 90o is known as

Which integer in each of the following pairs is to the right of the other on the number line?(a) 1, 7(b) -2, -5 (c) 0, -3(d) -5, 8

Two parallel lines l and m are cut by a transversal t. If the interior angles on the same side of the transversal t be 2x−9 and 3x−7 . Find the measure of each angle.

If 32×x=81, Find x.

[x+[x]]is less than equal to 2Then x belongs to

a½+b½-c½=0 then find the value of (a+b-c)

A bag contains 2 pink, 3 red and 5 blue balls. Find the ratio of pink balls to the total number of balls. (Select all that apply)

Factorising and dividing a2+7a+10 by (a+5) gives:

5x×(−4yz)×3xz = ___

Find the probablity of Selecting a prime number from 3 ,5,6,7 9,11,12,13,15.

In which situation an angle bisector cannot be constructed to bisect the angle formed between two given lines?

Arrange in ascending order.. .. 5/12 ,3/4 ,7/8, 13/24

Where does the value -3.224 occur on the number line?

Find the side and perimeter of a square whose diagonal is 10 cm.

Question 1 Out of the four options, only one is correct. Write the correct answer. An algebraic expression containing three terms is called a (a) monomial (b) binomial (c) trinomial (d) All of these

Using coordinate geometry, prove that thediagonals of a rhombus are perpendicular to eachother.

Find the unknown in 1x≤23, if x is a positive number.

Which of the following would end with the digit 1?

How many interior angle bisectors are there in a triangle?

Question 84Find the number of cubes in the base layer of the following figure.

Question 2 (iii)Find: 1634

the perimeter of similar triangles ABC and PQR is 180 cm and 50 cm respectively. If QR=5 what is the value of BC

Find the median of the following data set. 70 50 90 120 110 100 80 60

If the area of a square is same as the area of a circle, then the ratio of their perimeters, in terms of π, is(a) π : 3(b) 2 : π(c) 3 : π(d) π : 2

Mark the correct alternative in the following question:2x2×3xy2×4x3y5 is equal toa 24x6y6 b 24x6y7 c 24x7y6 d 24x7y7

What is the median of these scores: 62,56,74,72,68,110?

Find out the wrong number in the series given below :7,28,63,124,215

Let ABC be a triangle insscribed in a circle with centre O such that angle C=90°. Prove that AB is diameter of the circle.

If AM is a median of triangle ABC, then which of the following relation will always hold good?

The price of all televisions in a shop is increased by 10%. Calculate the new price of a television that originally cost ₹20,000.

Tom used to workout every 6 days and Sam every 7 days. Tom and Sam both did workout together today. After how many minimum days will they both workout together?

In the figure given below AB = 3 cm, AC = 5 cm and AD = 4 cm and D is the midpoint of BC. Then BD = 1

Construct a triangle DEF, in which EF = 4.5 cm, DF = 6.8 cm, ∠F = 110°.

The solid whose net is given below is:

The difference between the squares of two alternate natural numbers is 28. Find out the sum of the numbers.

Which of the following rational number lies between 56 and 43?

The mean of the observations 1, 3, 5, 7, 9, ..., 99 is _________.

In the figure given, what are the values of a, b and c respectively?

a×(b+c)=

After the Physics lab, there was Math class and the teacher was discussing if there is any need to categorize these 3D shapes. He said "The 3D shapes with at least one curved face are called non-polyhedrons” and asked what could be 3D shapes with flat surfaces are called ___?

There are 10 observations arranged in ascending order as given below. 45, 47 ,50 ,52, x, x+2, 60,62,63,74. The median of these observations is 53.Find the value of x. Also find the mean and the mode of the data.

A and B are the logical inputs and X is the logical output shown in the figure. The output X is related to A and B by

Question 88 Each of the 2 equal sides of an isosceles triangle is twice as large as the third side. If the perimeter of the triangle is 30 cm, find the length of each side of the triangle.