25365 + Interview Questions in Mathematics Page 130 InterviewSolution

6451.	ABCD is a quadrilateral whose diagonal AC divides it into two parts equal in area, then ABCD is:(a) always a rhombus(b) a parallelogram(c) a kite(d) a trapezium
Answer» ABCD is a quadrilateral whose diagonal AC divides it into two parts equal in area, then ABCD is: (a) always a rhombus (b) a parallelogram (c) a kite (d) a trapezium

Discussion

6452.	What are the first 5 triangular numbers?
Answer» What are the first 5 triangular numbers?

Discussion

6453.	13. If points (a, 0) , (b, 0) and (0,c) , (0,d) are concyclic. Then show that ab = cd
Answer» 13. If points (a, 0) , (b, 0) and (0,c) , (0,d) are concyclic. Then show that ab = cd

Discussion

6454.	Find the value of x such that −11x is not a rational number.
Answer» Find the value of $x$ such that $\frac{- 11}{x}$ is not a rational number.

Discussion

6455.	If 3(x−1)=6+2(x−3),find the value of(x+1)2(x−2)+4(x+1)5
Answer» If $3 (x - 1) = 6 + 2 (x - 3)$ , find the value of $\frac{(x + 1)^{2}}{(x - 2)} + \frac{4}{(x + 1)}$ 5

Discussion

6456.	If ABCD is a parallelogram then:
Answer» If ABCD is a parallelogram then:

Discussion

6457.	What will be the sum of interior angles of a polygon with 9 sides :
Answer» What will be the sum of interior angles of a polygon with 9 sides :

Discussion

6458.	A dishonest shopkeeper does 2% dishonesty at the time of buying and 2% dishonesty at the time of selling.find his percentage gain.
Answer» A dishonest shopkeeper does 2% dishonesty at the time of buying and 2% dishonesty at the time of selling.find his percentage gain.

Discussion

6459.	In the given figure, it is given that AB = CD and AD = BC. Prove that ΔADC ≅ΔCBA.
Answer» In the given figure, it is given that AB = CD and AD = BC. Prove that ΔADC ≅ΔCBA.

Discussion

6460.	If (2+3)+4 = 2+(3+4) then it follows which property for whole numbers?
Answer» If (2+3)+4 = 2+(3+4) then it follows which property for whole numbers?

Discussion

6461.	Find the Highest Common Factor of the polynomials x2–6x+9 and x2–9.
Answer» $Find the Highest Common Factor of the polynomials x^{2} - 6 x + 9 and x^{2} - 9.$

Discussion

6462.	will the image dis†an ce in all the cases b postive or according to the mirror?
Answer» will the image dis†an ce in all the cases b postive or according to the mirror?

Discussion

6463.	Find the reminder when x3+3x2+3x+1 is divided by x+π
Answer» Find the reminder when x3+3x2+3x+1 is divided by x+π

Discussion

6464.	A factory requires 42 machines to produce a given number of articles in 63 days.Find the number of machines required to produce the same number of articles in 54 days.
Answer» A factory requires 42 machines to produce a given number of articles in 63 days. Find the number of machines required to produce the same number of articles in 54 days.

Discussion

6465.	what is portal system? what is it's function ? where it is present ? what are it's type?
Answer» what is portal system? what is it's function ? where it is present ? what are it's type?

Discussion

6466.	What number will come instead of ? in the given number pattern?
Answer» What number will come instead of ? in the given number pattern?

Discussion

6467.	The approximate change in the volume of a cube of side x metres caused by increasing the side by 2%, is ______________.
Answer» The approximate change in the volume of a cube of side x metres caused by increasing the side by 2%, is ______________.

Discussion

6468.	Use direct method (x+8)(x+3)
Answer» Use direct method (x+8)(x+3)

Discussion

6469.	In a quiz program,the correct answer gets you 2 marks. For each wrong answer, one mark is deducted from the total score. There are 50 questions to be answered. If Preeti scored 76 marks for the quiz, how many of her questions were right?
Answer» In a quiz program,the correct answer gets you $2$ marks. For each wrong answer, one mark is deducted from the total score. There are $50$ questions to be answered. If Preeti scored $76$ marks for the quiz, how many of her questions were right?

Discussion

6470.	Simplify : 1. 16m3 y24m2 y 2. 32m2 n3 p24mnp
Answer» Simplify : 1. $\frac{16 m^{3} y^{2}}{4 m^{2} y}$ 2. $\frac{32 m^{2} n^{3} p^{2}}{4 m n p}$

6470.

Simplify : 1. 16m3 y24m2 y 2. 32m2 n3 p24mnp

Answer»

Simplify :

1. $\frac{16 m^{3} y^{2}}{4 m^{2} y}$

2. $\frac{32 m^{2} n^{3} p^{2}}{4 m n p}$

Discussion

6471.	If a2 – 2a – 1 = 0, then a2+1a2 = __________.
Answer» If a² – 2a – 1 = 0, then $a^{2} + \frac{1}{a^{2}}$ = __________.

Discussion

6472.	If two angles of a triangle are 50∘ and 70∘, then the third angle is:
Answer» If two angles of a triangle are $50^{\circ}$ and $70^{\circ}$ , then the third angle is:

Discussion

6473.	The marked price of a bicycle is ₹17280 by selling it at a discount of 25% the loss is 20% find the cost price of the bicycle
Answer» The marked price of a bicycle is ₹17280 by selling it at a discount of 25% the loss is 20% find the cost price of the bicycle

Discussion

6474.	State whether each of the following set is finite or infinite:(i) The set of lines which are parallel to the x−axis(ii) The set of letters in the English alphabet(iii) The set of numbers which are multiple of 5(iv) The set of animals living on the earth(v) The set of circles passing through the origin (0,0)
Answer» State whether each of the following set is finite or infinite: $(i)$ The set of lines which are parallel to the $x -$ axis $(i i)$ The set of letters in the English alphabet $(i i i)$ The set of numbers which are multiple of $5$ $(i v)$ The set of animals living on the earth $(v)$ The set of circles passing through the origin $(0, 0)$

Discussion

6475.	A group of labourers promises to do a piece of work in 10 days, but five of them become absent. If the remaining labourers complete the work in 12 days, find their original number in the group.
Answer» A group of labourers promises to do a piece of work in 10 days, but five of them become absent. If the remaining labourers complete the work in 12 days, find their original number in the group.

Discussion

6476.	A quadrilateral PLAY is to be constructed with PL = 3cm, LA = 4cm, AY = 4.5 cm, PY = 2cm. In this quadrilateral which number should LY should be less than?5
Answer» A quadrilateral PLAY is to be constructed with PL = 3cm, LA = 4cm, AY = 4.5 cm, PY = 2cm. In this quadrilateral which number should LY should be less than? 5

Discussion

6477.	Choose the correct answerIf 14 is taken away from one fifth of a number, the result is 20. The equation expressing this statement is:A. (x/5) − 14 = 20B. x − (14/5) = (20/5)C. x − 14 = (20/5)D. x + (14/5) = 20
Answer» Choose the correct answer If 14 is taken away from one fifth of a number, the result is 20. The equation expressing this statement is: A. (x/5) − 14 = 20 B. x − (14/5) = (20/5) C. x − 14 = (20/5) D. x + (14/5) = 20

6477.

Choose the correct answerIf 14 is taken away from one fifth of a number, the result is 20. The equation expressing this statement is:A. (x/5) − 14 = 20B. x − (14/5) = (20/5)C. x − 14 = (20/5)D. x + (14/5) = 20

Answer»

Choose the correct answer

If 14 is taken away from one fifth of a number, the result is 20. The equation expressing this statement is:

A. (x/5) − 14 = 20

B. x − (14/5) = (20/5)

C. x − 14 = (20/5)

D. x + (14/5) = 20

Discussion

6478.

Record the following transactions of M/s Mahipal Bros. in Proper Subsidiary Books, post them into the Ledger and take out a Trial Balance: 2017 Jan. 1 Commenced business with Cash ₹ 2,00,000. 2 Deposited into U.T.I Bank ₹ 1,75,000. 4 Purchased goods from Dilip for ₹ 40,000. Trade Discount 20%. 6 Gave a cheque to Dilip for ₹ 16,800 and discount allowed by him ₹ 200. 8 Goods bought from Nilesh for Cash ₹ 14,000. 10 Accepted a bill at 2 months for ₹ 15,000 drawn by Dilip. 11 Bought goods from Suresh ₹ 75,000. 13 Paid to Suresh a Cheque for ₹ 58,800 after receiving discount of 2%. 15 Cash sales made to Jyoti Parshad ₹ 8,000. 16 Sold goods to Mohinder for ₹ 20,000. 17 Goods returned by Mohinder for ₹ 1,500. 18 Received from Mohinder ₹ 7,900 after allowing a discount of 1.25%. 20 Goods sold to Banerjee ₹ 50,000. 21 Deposited into Bank ₹ 20,000. 25 Goods taken for personal use ₹ 2,000. 25 Purchased furniture ₹ 40,000 and Typewriter ₹ 10,000 for office use. Payment for both the items is made by Cheque. 25 Sold goods to Anubhav ₹ 30,000. 27 Goods returned by Anubhav ₹ 5,000. 27 Received full payment from Banerjee by Cheque, sent it to Bank, Discount allowed 2%. 28 Acceptance received from Anubhav at 30 days for the amount due from him. 28 Paid for stationery ₹ 400 and for Postage ₹ 200. 31 Rent of proprietor's house paid by Cheque ₹ 2,500.

Answer» Record the following transactions of M/s Mahipal Bros. in Proper Subsidiary Books, post them into the Ledger and take out a Trial Balance:

2017
Jan. 1		Commenced business with Cash ₹ 2,00,000.
2		Deposited into U.T.I Bank ₹ 1,75,000.
4		Purchased goods from Dilip for ₹ 40,000. Trade Discount 20%.
6		Gave a cheque to Dilip for ₹ 16,800 and discount allowed by him ₹ 200.
8		Goods bought from Nilesh for Cash ₹ 14,000.
10		Accepted a bill at 2 months for ₹ 15,000 drawn by Dilip.
11		Bought goods from Suresh ₹ 75,000.
13		Paid to Suresh a Cheque for ₹ 58,800 after receiving discount of 2%.
15		Cash sales made to Jyoti Parshad ₹ 8,000.
16		Sold goods to Mohinder for ₹ 20,000.
17		Goods returned by Mohinder for ₹ 1,500.
18		Received from Mohinder ₹ 7,900 after allowing a discount of 1.25%.
20		Goods sold to Banerjee ₹ 50,000.
21		Deposited into Bank ₹ 20,000.
25		Goods taken for personal use ₹ 2,000.
25		Purchased furniture ₹ 40,000 and Typewriter ₹ 10,000 for office use.
		Payment for both the items is made by Cheque.
25		Sold goods to Anubhav ₹ 30,000.
27		Goods returned by Anubhav ₹ 5,000.
27		Received full payment from Banerjee by Cheque, sent it to Bank, Discount allowed 2%.
28		Acceptance received from Anubhav at 30 days for the amount due from him.
28		Paid for stationery ₹ 400 and for Postage ₹ 200.
31		Rent of proprietor's house paid by Cheque ₹ 2,500.

Discussion

6479.

Give Journal Entries for the following transactions in the books of Raja Ram & Co. : 2017 March 3 Bought goods for cash of the list price of ₹ 80,000 at 10% trade discount and 212% cash discount. 5 Sold goods for cash of the list price of ₹ 1,00,000 at 15% trade discount and 3% cash discount. 6 Sold goods to Nagpal of the list price of ₹ 50,000 at 20% trade discount. 8 Nagpal returned one-fourth of the above goods. 10 Nagpal settled the account by paying cash under a discount of 5%.

Answer» Give Journal Entries for the following transactions in the books of Raja Ram & Co. :

2017
March 3		Bought goods for cash of the list price of ₹ 80,000 at 10% trade discount and 2 $\frac{1}{2}$ % cash discount.
5		Sold goods for cash of the list price of ₹ 1,00,000 at 15% trade discount and 3% cash discount.
6		Sold goods to Nagpal of the list price of ₹ 50,000 at 20% trade discount.
8		Nagpal returned one-fourth of the above goods.
10		Nagpal settled the account by paying cash under a discount of 5%.

Discussion

6480.	If Harish earns simple interest of ₹1000 by lending money to his friend at an interest of 10% per annum for 5 years, then find the money lent by him.2000
Answer» If Harish earns simple interest of ₹1000 by lending money to his friend at an interest of 10% per annum for 5 years, then find the money lent by him. 2000

Discussion

6481.	Find the smallest number by which 8768 must be divided so that the quotient is a perfect cube.
Answer» Find the smallest number by which 8768 must be divided so that the quotient is a perfect cube.

Discussion

6482.	How many squares contain in a net diagram of a cube.
Answer» How many squares contain in a net diagram of a cube.

Discussion

6483.	Simplify 3a2(5a2−3a−24) and also find its value for(i) a = 1 (ii) a = 2.
Answer» Simplify $3 a^{2} (5 a^{2} - 3 a - 24)$ and also find its value for (i) a = 1 (ii) a = 2.

Discussion

6484.	Which of the following is a property of a rational number?
Answer» Which of the following is a property of a rational number?

Discussion

6485.	A shopkeeper sells an article for ₹16800 with GST = 18%. A customer willing to buy this article, asks the shopkeeper to reduce the price of the article so that he pays only ₹18000 including GST. If the shopkeeper agrees for this, how much reduction will the shopkeeper give?
Answer» A shopkeeper sells an article for ₹16800 with GST = 18%. A customer willing to buy this article, asks the shopkeeper to reduce the price of the article so that he pays only ₹18000 including GST. If the shopkeeper agrees for this, how much reduction will the shopkeeper give?

Discussion

6486.	Out of the total number of employees in the personnel department approximately what percent of employees are in Scale-II?
Answer» Out of the total number of employees in the personnel department approximately what percent of employees are in Scale-II?

Discussion

6487.	Find the common factor from terms of the polynomial expression35a2b4+21ab3+7a2b+49a2b6.
Answer» Find the common factor from terms of the polynomial expression $35 a^{2} b^{4} + 21 a b^{3} + 7 a^{2} b + 49 a^{2} b^{6}$ .

Discussion

6488.	Using identities, evaluate: 712
Answer» Using identities, evaluate: $71^{2}$

Discussion

6489.	The value of a machinery is Rs.10000, which is depreciating at the rate of 15% annually. What will be the value of the machinery after 2 years in rupees?__
Answer» The value of a machinery is Rs.10000, which is depreciating at the rate of 15% annually. What will be the value of the machinery after 2 years in rupees? __

Discussion

6490.	Find the cube of 16.
Answer» Find the cube of 16.

Discussion

6491.	An alloy contains 40% copper, 32% nickel and rest zinc. Find the mass of zinc in one kg of the alloy.
Answer» An alloy contains $40 %$ copper, $32 %$ nickel and rest zinc. Find the mass of zinc in one kg of the alloy.

Discussion

6492.	Solve the following problems.An agent is paid a commission of 1% by the postal departments for selling National Savings certificates worth Rs. 27,500. What is the amount of commission he gets?
Answer» Solve the following problems. An agent is paid a commission of 1% by the postal departments for selling National Savings certificates worth Rs. 27,500. What is the amount of commission he gets?

6492.

Solve the following problems.An agent is paid a commission of 1% by the postal departments for selling National Savings certificates worth Rs. 27,500. What is the amount of commission he gets?

Answer»

Solve the following problems.

An agent is paid a commission of 1% by the postal departments for selling National Savings certificates worth Rs. 27,500. What is the amount of commission he gets?

Discussion

6493.	Match the following with their respective answers:
Answer» Match the following with their respective answers:

Discussion

6494.	Is x cube strictly increasing function as it has a point of inflection?
Answer» Is x cube strictly increasing function as it has a point of inflection?

Discussion

6495.	What is the expression for the area of a rectangle whose length is 0.5p−0.25q and height is 4(2p+q)?
Answer» What is the expression for the area of a rectangle whose length is $0.5 p - 0.25 q$ and height is $4 (2 p + q) ?$

Discussion

6496.	Find the value of r.
Answer» Find the value of r.

Discussion

6497.	Question 2The perimeter of a triangle is 50cm. one side of a triangle is 4cm longer than the smaller side and the third side is 6 cm less than twice the smaller side. Find the area of the triangle.
Answer» Question 2 The perimeter of a triangle is 50cm. one side of a triangle is 4cm longer than the smaller side and the third side is 6 cm less than twice the smaller side. Find the area of the triangle.

Discussion

6498.	A solid rectangular piece of iron measures 6 m by 6 cm by 2 cm. Find the weight of this piece, if 1 cm3 of iron weighs 8 gm.
Answer» A solid rectangular piece of iron measures 6 m by 6 cm by 2 cm. Find the weight of this piece, if 1 $c m^{3}$ of iron weighs 8 gm.

Discussion

6499.	Which of the following is true about a line graph?
Answer» Which of the following is true about a line graph?

Discussion

6500.

Question 9In the following question out of the four options only one is correct, write the correct answer.Which of the following is a linear expression?(a) x2+1 (b) y+y2(c) 4(d) 1 + z

Answer»

Question 9

In the following question out of the four options only one is correct, write the correct answer.

Which of the following is a linear expression?

(a) $x^{2} + 1$

(b) $y + y^{2}$

(c) 4

(d) 1 + z

Discussion

Explore topic-wise InterviewSolutions in .

ABCD is a quadrilateral whose diagonal AC divides it into two parts equal in area, then ABCD is:​(a) always a rhombus(b) a parallelogram(c) a kite(d) a trapezium

What are the first 5 triangular numbers?

13. If points (a, 0) , (b, 0) and (0,c) , (0,d) are concyclic. Then show that ab = cd

Find the value of x such that −11x is not a rational number.

If 3(x−1)=6+2(x−3),find the value of(x+1)2(x−2)+4(x+1)5

If ABCD is a parallelogram then:

What will be the sum of interior angles of a polygon with 9 sides :

A dishonest shopkeeper does 2% dishonesty at the time of buying and 2% dishonesty at the time of selling.find his percentage gain.

In the given figure, it is given that AB = CD and AD = BC. Prove that ΔADC ≅ΔCBA.

If (2+3)+4 = 2+(3+4) then it follows which property for whole numbers?

Find the Highest Common Factor of the polynomials x2–6x+9 and x2–9.

will the image dis†an ce in all the cases b postive or according to the mirror?

Find the reminder when x3+3x2+3x+1 is divided by x+π

A factory requires 42 machines to produce a given number of articles in 63 days.Find the number of machines required to produce the same number of articles in 54 days.

what is portal system? what is it's function ? where it is present ? what are it's type?

What number will come instead of ? in the given number pattern?

The approximate change in the volume of a cube of side x metres caused by increasing the side by 2%, is ______________.

Use direct method (x+8)(x+3)

In a quiz program,the correct answer gets you 2 marks. For each wrong answer, one mark is deducted from the total score. There are 50 questions to be answered. If Preeti scored 76 marks for the quiz, how many of her questions were right?

Simplify : 1. 16m3 y24m2 y 2. 32m2 n3 p24mnp

If a2 – 2a – 1 = 0, then a2+1a2 = __________.

If two angles of a triangle are 50∘​ and 70∘​, then the third angle is:

The marked price of a bicycle is ₹17280 by selling it at a discount of 25% the loss is 20% find the cost price of the bicycle

A group of labourers promises to do a piece of work in 10 days, but five of them become absent. If the remaining labourers complete the work in 12 days, find their original number in the group.

A quadrilateral PLAY is to be constructed with PL = 3cm, LA = 4cm, AY = 4.5 cm, PY = 2cm. In this quadrilateral which number should LY should be less than?5

Choose the correct answerIf 14 is taken away from one fifth of a number, the result is 20. The equation expressing this statement is:A. (x/5) − 14 = 20B. x − (14/5) = (20/5)C. x − 14 = (20/5)D. x + (14/5) = 20

If Harish earns simple interest of ₹1000 by lending money to his friend at an interest of 10% per annum for 5 years, then find the money lent by him.2000

Find the smallest number by which 8768 must be divided so that the quotient is a perfect cube.

How many squares contain in a net diagram of a cube.

Simplify 3a2(5a2−3a−24) and also find its value for(i) a = 1 (ii) a = 2.

Which of the following is a property of a rational number?

A shopkeeper sells an article for ₹16800 with GST = 18%. A customer willing to buy this article, asks the shopkeeper to reduce the price of the article so that he pays only ₹18000 including GST. If the shopkeeper agrees for this, how much reduction will the shopkeeper give?

Out of the total number of employees in the personnel department approximately what percent of employees are in Scale-II?

Find the common factor from terms of the polynomial expression35a2b4+21ab3+7a2b+49a2b6.

Using identities, evaluate: 712

The value of a machinery is Rs.10000, which is depreciating at the rate of 15% annually. What will be the value of the machinery after 2 years in rupees?__

Find the cube of 16.

An alloy contains 40% copper, 32% nickel and rest zinc. Find the mass of zinc in one kg of the alloy.

Solve the following problems.An agent is paid a commission of 1% by the postal departments for selling National Savings certificates worth Rs. 27,500. What is the amount of commission he gets?

Match the following with their respective answers:

Is x cube strictly increasing function as it has a point of inflection?

What is the expression for the area of a rectangle whose length is 0.5p−0.25q and height is 4(2p+q)?

Find the value of r.

Question 2The perimeter of a triangle is 50cm. one side of a triangle is 4cm longer than the smaller side and the third side is 6 cm less than twice the smaller side. Find the area of the triangle.

A solid rectangular piece of iron measures 6 m by 6 cm by 2 cm. Find the weight of this piece, if 1 cm3 of iron weighs 8 gm.

Which of the following is true about a line graph?

Question 9In the following question out of the four options only one is correct, write the correct answer.Which of the following is a linear expression?(a) x2+1 (b) y+y2(c) 4(d) 1 + z

ABCD is a quadrilateral whose diagonal AC divides it into two parts equal in area, then ABCD is:(a) always a rhombus(b) a parallelogram(c) a kite(d) a trapezium

If two angles of a triangle are 50∘ and 70∘, then the third angle is: