19743 + Interview Questions in Mathematics Page 159 InterviewSolution

7901.	The square of a number ‘P’ is the sum of squares of other two numbers ‘Q’ and ‘R’. If 8Q = 15R, Q and R are positive integers, then the least possible value of P is
Answer» The square of a number ‘P’ is the sum of squares of other two numbers ‘Q’ and ‘R’. If 8Q = 15R, Q and R are positive integers, then the least possible value of P is

Discussion

7902.	Find the area of a square park whose perimeter is 320 m.
Answer» Find the area of a square park whose perimeter is 320 m.

Discussion

7903.	What is the distance from the top of mount mckinley to the bottom of Death Valley?
Answer» What is the distance from the top of mount mckinley to the bottom of Death Valley?

Discussion

7904.	The coefficient of the term obtained by division of 24xy2 with 8xy is
Answer» The coefficient of the term obtained by division of 24x $y^{2}$ with 8xy is

Discussion

7905.	Using the information and your understanding till now, choose from the given options, the properties which hold good for the division of integers?
Answer» Using the information and your understanding till now, choose from the given options, the properties which hold good for the division of integers?

Discussion

7906.	. The numerator of a rational number is less than its denominator by 3 if the numerator becomes three times the denominator is increased by 20 then the fraction becomes 1 by 8 find the number
Answer» . The numerator of a rational number is less than its denominator by 3 if the numerator becomes three times the denominator is increased by 20 then the fraction becomes 1 by 8 find the number

Discussion

7907.	In the given figure,AB \|\| CD. Find the reflex ∠EFG.
Answer» In the given figure, $A B \| \| C D .$ Find the reflex $∠ E F G .$

Discussion

7908.	If Maria went to a book store and sees that the cost of one book is $15. Maria wants to buy 140 books, how much amount she needs to pay?
Answer» If Maria went to a book store and sees that the cost of one book is $$ 15$ . Maria wants to buy $140$ books, how much amount she needs to pay?

Discussion

7909.

On 1st January, 2018, Ram of Kolkata commenced business with a capital of ₹ 50,000 and entered into following transactions:Pass the following transactions through proper books to the Ledger. Take out a Trial Balance as on 31st January, 2018. The Cash Book must be balanced. 2018 ₹ Jan. 1 Opened a Bank Account and Deposited 12,500 Purchased Goods in Cash* 20,000 Purchased furniture for Shop* 5,000 Sold goods to R. Raman, Kolkata* 5,000 Jan. 2 Bought goods from Man Mohan, Delhi 10,000 Jan. 3 Bought stationery for cash 1,000 Jan. 5 Received cash from R. Raman 5,300 Discount allowed to him 300 Jan. 6 Sold goods to Bimal, Kolkata* 7,500 Jan. 8 Bimal returned part of the goods supplied on the 6th instant 1,500 Jan. 10 Paid cash into bank 1,000 Jan. 12 Paid wages in cash 1,500 Jan. 13 Bought on credit from the Union Furniture Co., Kolkata office desk* 1,500 Jan. 19 Paid wages in cash 1,500 Jan. 21 Paid Man Mohan by cheque 10,700 Discount received 500 Jan. 21 Sold goods to Ramesh, Guwahati including IGST 6,720 Jan. 22 Received cheque from Bimal 6,000 Jan. 23 Bought goods from Man Mohan, Delhi 7,000 Jan. 24 Drew by cheque for private use 2,000 Jan. 27 Paid wages in cash 1,500 Jan. 31 Rent due to landlord* 1,000 Transactions marked* are intra-state transactions subject to CGST and SGST 6% each.Transactions marked** are inter-state transactions subject to IGST 12%.

Answer» On 1st January, 2018, Ram of Kolkata commenced business with a capital of ₹ 50,000 and entered into following transactions:

Pass the following transactions through proper books to the Ledger. Take out a Trial Balance as on 31st January, 2018. The Cash Book must be balanced.

2018		₹
Jan. 1	Opened a Bank Account and Deposited	12,500
	Purchased Goods in Cash*	20,000
	Purchased furniture for Shop*	5,000
	Sold goods to R. Raman, Kolkata*	5,000
Jan. 2	Bought goods from Man Mohan, Delhi	10,000
Jan. 3	Bought stationery for cash	1,000
Jan. 5	Received cash from R. Raman	5,300
	Discount allowed to him	300
Jan. 6	Sold goods to Bimal, Kolkata*	7,500
Jan. 8	Bimal returned part of the goods supplied on the 6th instant	1,500
Jan. 10	Paid cash into bank	1,000
Jan. 12	Paid wages in cash	1,500
Jan. 13	Bought on credit from the Union Furniture Co., Kolkata office desk*	1,500
Jan. 19	Paid wages in cash	1,500
Jan. 21	Paid Man Mohan by cheque	10,700
	Discount received	500
Jan. 21	Sold goods to Ramesh, Guwahati including IGST**	6,720
Jan. 22	Received cheque from Bimal	6,000
Jan. 23	Bought goods from Man Mohan, Delhi**	7,000
Jan. 24	Drew by cheque for private use	2,000
Jan. 27	Paid wages in cash	1,500
Jan. 31	Rent due to landlord*	1,000

Transactions marked* are intra-state transactions subject to CGST and SGST 6% each.

Transactions marked** are inter-state transactions subject to IGST 12%.

Discussion

7910.	The length of the uniform rod is 100 cm and the radius is 1.00 cm. If the length is measured with a meter rod having least count 1 mm and the radius is measured with vernier calipers having least count 0.1 mm the percentage error in volume of cylinder is
Answer» The length of the uniform rod is 100 cm and the radius is 1.00 cm. If the length is measured with a meter rod having least count 1 mm and the radius is measured with vernier calipers having least count 0.1 mm the percentage error in volume of cylinder is

Discussion

7911.	36. Δ ABC is inscribed in a circle. If the bisector of angle BAC meets BC at D and the circle at E such that angle ECD=30^° , then what is the measure of angle BAC ?
Answer» 36. Δ ABC is inscribed in a circle. If the bisector of angle BAC meets BC at D and the circle at E such that angle ECD=30^° , then what is the measure of angle BAC ?

Discussion

7912.	Show on the number line x, x – 4, 2x + 1, 3x – 2
Answer» Show on the number line x, x – 4, 2x + 1, 3x – 2

Discussion

7913.	Shyam's parents gives him ₹200 as pocket money. He wants to purchase a ball for ₹30, a toy car for ₹120 and a bat for ₹60 with the given money, then which of the following is/are true?
Answer» Shyam's parents gives him ₹200 as pocket money. He wants to purchase a ball for ₹30, a toy car for ₹120 and a bat for ₹60 with the given money, then which of the following is/are true?

Discussion

7914.	A polygon is said to be a regular polygon if ___.
Answer» A polygon is said to be a regular polygon if ___.

Discussion

7915.	Which of the following figures in the options can be joined to the given image [Image (i)] to form a symmetric shape with XY as a line of symmetry?
Answer» Which of the following figures in the options can be joined to the given image [Image (i)] to form a symmetric shape with XY as a line of symmetry?

7915.

Which of the following figures in the options can be joined to the given image [Image (i)] to form a symmetric shape with XY as a line of symmetry?

Answer»

Which of the following figures in the options can be joined to the given image [Image (i)] to form a symmetric shape with XY as a line of symmetry?

Discussion

7916.	What is a rational number?
Answer» What is a rational number?

Discussion

7917.	In his car, Jack drove 60 km in one hour. If he maintains his current speed, he will travel a distance of km in t hours.
Answer» In his car, Jack drove 60 km in one hour. If he maintains his current speed, he will travel a distance of km in $t$ hours.

Discussion

7918.	Among two congruent angles, one has a measure of 60o, the measure of the other angle is ___(in degrees).
Answer» Among two congruent angles, one has a measure of $60^{o}$ , the measure of the other angle is ___(in degrees).

Discussion

7919.	Let f be the greatest integer function defined as f(x) = [x] and g be the modules function defined as g(x) = \|x\|, then the value of gof−54 is ___________.
Answer» Let f be the greatest integer function defined as f(x) = [x] and g be the modules function defined as g(x) = \|x\|, then the value of $g o f (- \frac{5}{4})$ is ___________.

Discussion

7920.	Area of the given figure (in cm2) is ___. Given: AB=CD
Answer» Area of the given figure (in $c m^{2}$ ) is ___. Given: AB=CD

7920.

Area of the given figure (in cm2) is ___. Given: AB=CD

Answer»

Area of the given figure (in $c m^{2}$ ) is ___. Given: AB=CD

Discussion

7921.	In the given diagram, AB is parallel to PQ. If a right triangle can be constructed with ∠PO′X and ∠BOY as two of its angles, then find the value of ∠PO′X.
Answer» In the given diagram, AB is parallel to PQ. If a right triangle can be constructed with $∠ P O^{'} X$ and $∠ B O Y$ as two of its angles, then find the value of $∠ P O^{'} X$ .

7921.

In the given diagram, AB is parallel to PQ. If a right triangle can be constructed with ∠PO′X and ∠BOY as two of its angles, then find the value of ∠PO′X.

Answer»

In the given diagram, AB is parallel to PQ. If a right triangle can be constructed with $∠ P O^{'} X$ and $∠ B O Y$ as two of its angles, then find the value of $∠ P O^{'} X$ .

Discussion

7922.	The sum of the two numbers is 29 and the difference of their squares is 145. The difference between the numbers is:
Answer» The sum of the two numbers is $29$ and the difference of their squares is $145.$ The difference between the numbers is:

Discussion

7923.	One day has 24 hours. If Sohansleeps for 14 part of hours,studies and works for 13 part of hours andplays for 16 part of hours in the day,then how many hours does he spend in each of these activities?
Answer» One day has 24 hours. If Sohan sleeps for $\frac{1}{4}$ part of hours, studies and works for $\frac{1}{3}$ part of hours and plays for $\frac{1}{6}$ part of hours in the day, then how many hours does he spend in each of these activities?

Discussion

7924.	Momun comes to school from very far. He first walks about 400 m to a pond. He then walks 150 m through the pond. Next he runs across the 350 m wide green field. Then he carefully crosses the 40 m wide road to reach his school. What is the total distance covered by Momun to reach the school?
Answer» Momun comes to school from very far. He first walks about 400 m to a pond. He then walks 150 m through the pond. Next he runs across the 350 m wide green field. Then he carefully crosses the 40 m wide road to reach his school. What is the total distance covered by Momun to reach the school?

Discussion

7925.	If LCM of polynomials (y-3)^a (2y+1)^b (y+13)^7 and (y-3)^4 (2y+1)^9 (y.+13)^c is(y-3)^6 (2y+1)^10(y+13)^7, then the least value of a + b + c is?
Answer» If LCM of polynomials (y-3)^a (2y+1)^b (y+13)^7 and (y-3)^4 (2y+1)^9 (y.+13)^c is(y-3)^6 (2y+1)^10(y+13)^7, then the least value of a + b + c is?

Discussion

7926.	Select the correct option: 1m = ____ mm
Answer» Select the correct option: 1m = ____ mm

7926.

Select the correct option: 1m = ____ mm

Answer»

Select the correct option:

1m = ____ mm

Discussion

7927.	If the coefficient of x2 and the constant term of a quadratic equation have the same sign and if the coefficient of x term is zero, then the quadratic equation has ________ roots.
Answer» If the coefficient of x² and the constant term of a quadratic equation have the same sign and if the coefficient of x term is zero, then the quadratic equation has ________ roots.

Discussion

7928.	Question 2 (vii) Write the coordinates of the point L.
Answer» Question 2 (vii) Write the coordinates of the point L.

7928.

Question 2 (vii) Write the coordinates of the point L.

Answer»

Question 2 (vii)
Write the coordinates of the point L.

Discussion

7929.	Naresh walked 2 km 35 m in the morning and 1 km 7 m in the evening. How much distance did he walk in all?
Answer» Naresh walked 2 km 35 m in the morning and 1 km 7 m in the evening. How much distance did he walk in all?

Discussion

7930.

Open a 'T' shape account of creditor, 'Rakesh', and write the following transactions on the proper side: ₹ (i) Goods purchased from Rakesh on credit 50,000 (ii) Goods returned to Rakesh for 5,000 (iii) Paid to Rakesh 20,000 (iv) Purchase goods from Rakesh on credit 10,000

Answer» Open a 'T' shape account of creditor, 'Rakesh', and write the following transactions on the proper side:

		₹
(i)	Goods purchased from Rakesh on credit	50,000
(ii)	Goods returned to Rakesh for	5,000
(iii)	Paid to Rakesh	20,000
(iv)	Purchase goods from Rakesh on credit	10,000

Discussion

7931.	Find the third proportional of:(i) 2 m 40 cm and 40 cm(ii) 1.8 and 0.6
Answer» Find the third proportional of: (i) 2 m 40 cm and 40 cm (ii) 1.8 and 0.6

Discussion

7932.	What can (52)3 be expressed as:
Answer» What can $(5^{2})^{3}$ be expressed as:

Discussion

7933.	Find the side of a square whose area is 25 sq. m.
Answer» Find the side of a square whose area is 25 sq. m.

Discussion

7934.	The length of stick is 12 cm . Sivesh has to divide the stick in 4 equal parts. Length of one part of the divided stick iscm.
Answer» The length of stick is $12 cm$ . Sivesh has to divide the stick in $4$ equal parts. Length of one part of the divided stick iscm.

Discussion

7935.	Question 72(i) Observe the given bar graph carefully and answer the questions that follow. What information does the bar graph depict?
Answer» Question 72(i) Observe the given bar graph carefully and answer the questions that follow. What information does the bar graph depict?

Discussion

7936.	In △ABC,AB & CD are internal angle bisectors. Given that ∠A=60o & ∠C=40o. Find the angle subtended by AC on incentre of the triangle.
Answer» In $△ A B C, A B & C D$ are internal angle bisectors. Given that $∠ A = 60^{o} & ∠ C = 40^{o}$ . Find the angle subtended by $A C$ on incentre of the triangle.

Discussion

7937.	Prove that: [3 MARKS] (i) ΔABC≅ΔADC (ii) ∠B=∠D
Answer» Prove that: [3 MARKS] (i) $Δ A B C ≅ Δ A D C$ (ii) $∠ B = ∠ D$

Discussion

7938.

From the following particulars, calculate amount of subscriptions to be credited to the Income and Expenditure Account for the year ended 31st March, 2019: ₹ (a) Subscriptions in arrears on 31st March, 2018 500 (b) Subscriptions received in advance on 31st March, 2018 for the year ended on 31st March, 2019 1,100 (c) Total Subscriptions received during the year ended 31st March, 2019 (including ₹ 400 for the year ended 31st March, 2018, ₹ 1,200 for the year ended 31st March, 2020 and ₹ 300 for the year ended 31st March, 2021) 35,400 (d) Subscriptions outstanding for year ended 31st March, 2019 400

Answer» From the following particulars, calculate amount of subscriptions to be credited to the Income and Expenditure Account for the year ended 31st March, 2019:

		₹
(a)	Subscriptions in arrears on 31st March, 2018	500
(b)	Subscriptions received in advance on 31st March, 2018 for the year ended on 31st March, 2019	1,100
(c)	Total Subscriptions received during the year ended 31st March, 2019 (including ₹ 400 for the year ended 31st March, 2018, ₹ 1,200 for the year ended 31st March, 2020 and ₹ 300 for the year ended 31st March, 2021)	35,400
(d)	Subscriptions outstanding for year ended 31st March, 2019	400

Discussion

7939.	What must be added to (x3+3x−8) to get (3x3+x2+6)?
Answer» What must be added to $(x^{3} + 3 x - 8)$ to get $(3 x^{3} + x^{2} + 6)$ ?

Discussion

7940.	What is the front view of the given figure?
Answer» What is the front view of the given figure?

Discussion

7941.	5. If f be a function of 'x' such that f(9)=9,f'(9)=3 then lim at x-9 is
Answer» 5. If f be a function of 'x' such that f(9)=9,f'(9)=3 then lim at x-9 is

Discussion

7942.	How many lines of symmetry does the regular hexagon shown below have?
Answer» How many lines of symmetry does the regular hexagon shown below have?

7942.

How many lines of symmetry does the regular hexagon shown below have?

Answer»

How many lines of symmetry does the regular hexagon shown below have?

Discussion

7943.	How many numbers are divisible by 2 from 1 to 100?
Answer» How many numbers are divisible by 2 from 1 to 100?

Discussion

7944.	Which of the following triangles are congruent by SSS condition ?
Answer» Which of the following triangles are congruent by SSS condition ?

Discussion

7945.	Which of the following are equal to (x2)3)2 ?
Answer» Which of the following are equal to $(x^{2})^{3})^{2} ?$

Discussion

7946.	What is the value of X, if the value of 333332 is 11110XXXX9.8
Answer» What is the value of $X$ , if the value of $33333^{2}$ is $11110 X X X X 9$ . 8

Discussion

7947.	If A = 2x+3y and B = 3x+2y and x=1,y=2 then.
Answer» If A = 2x+3y and B = 3x+2y and x=1,y=2 then.

Discussion

7948.	Question 4 (i) Find the values of x in each of the following figures if l \|\| m
Answer» Question 4 (i) Find the values of x in each of the following figures if l \|\| m

Discussion

7949.	−13+(−69)+57−(−89)−(53+(−49))=
Answer» $- 13 + (- 69) + 57 - (- 89) - (53 + (- 49)) =$

Discussion

7950.	Simplify and express in exponential form:254÷5−3
Answer» Simplify and express in exponential form: $25^{4} \div 5^{- 3}$

Discussion

Explore topic-wise InterviewSolutions in .

The square of a number ‘P’ is the sum of squares of other two numbers ‘Q’ and ‘R’. If 8Q = 15R, Q and R are positive integers, then the least possible value of P is

Find the area of a square park whose perimeter is 320 m.

What is the distance from the top of mount mckinley to the bottom of Death Valley?

The coefficient of the term obtained by division of 24xy2 with 8xy is

Using the information and your understanding till now, choose from the given options, the properties which hold good for the division of integers?

. The numerator of a rational number is less than its denominator by 3 if the numerator becomes three times the denominator is increased by 20 then the fraction becomes 1 by 8 find the number

In the given figure,AB || CD. Find the reflex ∠EFG.

If Maria went to a book store and sees that the cost of one book is $15. Maria wants to buy 140 books, how much amount she needs to pay?

The length of the uniform rod is 100 cm and the radius is 1.00 cm. If the length is measured with a meter rod having least count 1 mm and the radius is measured with vernier calipers having least count 0.1 mm the percentage error in volume of cylinder is

36. Δ ABC is inscribed in a circle. If the bisector of angle BAC meets BC at D and the circle at E such that angle ECD=30^° , then what is the measure of angle BAC ?

Show on the number line x, x – 4, 2x + 1, 3x – 2

Shyam's parents gives him ₹200 as pocket money. He wants to purchase a ball for ₹30, a toy car for ₹120 and a bat for ₹60 with the given money, then which of the following is/are true?

A polygon is said to be a regular polygon if ___.

Which of the following figures in the options can be joined to the given image [Image (i)] to form a symmetric shape with XY as a line of symmetry?

What is a rational number?

In his car, Jack drove 60 km in one hour. If he maintains his current speed, he will travel a distance of km in t hours.

Among two congruent angles, one has a measure of 60o, the measure of the other angle is ___(in degrees).

Let f be the greatest integer function defined as f(x) = [x] and g be the modules function defined as g(x) = |x|, then the value of gof−54 is ___________.

Area of the given figure (in cm2​) is ___. Given: AB=CD

In the given diagram, AB is parallel to PQ. If a right triangle can be constructed with ∠PO′X and ∠BOY as two of its angles, then find the value of ∠PO′X.

The sum of the two numbers is 29 and the difference of their squares is 145. The difference between the numbers is:

One day has 24 hours. If Sohansleeps for 14 part of hours,studies and works for 13 part of hours andplays for 16 part of hours in the day,then how many hours does he spend in each of these activities?

Momun comes to school from very far. He first walks about 400 m to a pond. He then walks 150 m through the pond. Next he runs across the 350 m wide green field. Then he carefully crosses the 40 m wide road to reach his school. What is the total distance covered by Momun to reach the school?

If LCM of polynomials (y-3)^a (2y+1)^b (y+13)^7 and (y-3)^4 (2y+1)^9 (y.+13)^c is(y-3)^6 (2y+1)^10(y+13)^7, then the least value of a + b + c is?

Select the correct option: 1m = ____ mm

If the coefficient of x2 and the constant term of a quadratic equation have the same sign and if the coefficient of x term is zero, then the quadratic equation has ________ roots.

Question 2 (vii) Write the coordinates of the point L.

Naresh walked 2 km 35 m in the morning and 1 km 7 m in the evening. How much distance did he walk in all?

Open a 'T' shape account of creditor, 'Rakesh', and write the following transactions on the proper side: ₹ (i) Goods purchased from Rakesh on credit 50,000 (ii) Goods returned to Rakesh for 5,000 (iii) Paid to Rakesh 20,000 (iv) Purchase goods from Rakesh on credit 10,000

Find the third proportional of:(i) 2 m 40 cm and 40 cm(ii) 1.8 and 0.6

What can (52)3 be expressed as:

Find the side of a square whose area is 25 sq. m.

The length of stick is 12 cm . Sivesh has to divide the stick in 4 equal parts. Length of one part of the divided stick iscm.

Question 72(i) Observe the given bar graph carefully and answer the questions that follow. What information does the bar graph depict?

In △ABC,AB &amp; CD are internal angle bisectors. Given that ∠A=60o &amp; ∠C=40o. Find the angle subtended by AC on incentre of the triangle.

Prove that: [3 MARKS] (i) ΔABC≅ΔADC (ii) ∠B=∠D

What must be added to (x3+3x−8) to get (3x3+x2+6)?

What is the front view of the given figure?

5. If f be a function of 'x' such that f(9)=9,f'(9)=3 then lim at x-9 is

How many lines of symmetry does the regular hexagon shown below have?

How many numbers are divisible by 2 from 1 to 100?

Which of the following triangles are congruent by SSS condition ?

Which of the following are equal to (x2)3)2 ?

What is the value of X, if the value of 333332 is 11110XXXX9.8

If A = 2x+3y and B = 3x+2y and x=1,y=2 then.

Question 4 (i) Find the values of x in each of the following figures if l || m

−13+(−69)+57−(−89)−(53+(−49))=

Simplify and express in exponential form:254÷5−3

Area of the given figure (in cm2) is ___. Given: AB=CD

In △ABC,AB & CD are internal angle bisectors. Given that ∠A=60o & ∠C=40o. Find the angle subtended by AC on incentre of the triangle.