19743 + Interview Questions in Mathematics Page 172 InterviewSolution

8551.	The ratio of the area of a smaller circle to the bigger circle is 1 : 4 . Find radius of smaller circleradius of bigger circle.
Answer» The ratio of the area of a smaller circle to the bigger circle is 1 : 4 . Find $\frac{radius of smaller circle}{radius of bigger circle}$ .

Discussion

8552.	Queston 4(iv)The following graph shows the temperature forecast and the actual temperature for each day of a week.On which day did the actual temperature differ the most from the forecast temperature?
Answer» Queston 4(iv) The following graph shows the temperature forecast and the actual temperature for each day of a week. On which day did the actual temperature differ the most from the forecast temperature?

Discussion

8553.	Given : Arun's weight = 30 kg , Vinay's weight = 55 kg . The simplified ratio of weights of Arun and Vinay is :
Answer» Given : Arun's weight = 30 kg , Vinay's weight = 55 kg . The simplified ratio of weights of Arun and Vinay is :

Discussion

8554.	In the given figure PQ ∥ XY ∥ RS. Also, y : z = 4 : 5, then the values of ∠x, ∠y and ∠z are (respectively).
Answer» In the given figure $P Q$ ∥ $X Y$ ∥ $R S$ . Also, $y$ : $z$ = $4$ : $5$ , then the values of $∠ x$ , $∠ y$ and $∠ z$ are (respectively).

Discussion

8555.	If 12 + 45 = 40, 23 + 22 = 36, 32 + 24 = 64, then 41 + 58 = ?
Answer» If 12 + 45 = 40, 23 + 22 = 36, 32 + 24 = 64, then 41 + 58 = ?

Discussion

8556.	38. A well of inner diameter 14m is dug out to a depth of 12m.Earth taken out of it has been evenly spread all around it to a width of 7m to form an embankment.Find the height of embankment so formed.
Answer» 38. A well of inner diameter 14m is dug out to a depth of 12m.Earth taken out of it has been evenly spread all around it to a width of 7m to form an embankment.Find the height of embankment so formed.

Discussion

8557.	Multiply the following polynomials. (i) (m3 -2m + 3)(m4-2m2 + 3m + 2) (ii) (5m3 -2)(m2 - m + 3)
Answer» Multiply the following polynomials. (i) (m³ $-$ 2m + 3)(m⁴ $-$ 2m²+ 3m + 2) (ii) (5m³ $-$ 2)(m² $-$ m + 3)

Discussion

8558.	How to recognize or How will be able to know where should we Add 1 or where should we subtract 1 from equation to prove B.P.T problem Sums.
Answer» How to recognize or How will be able to know where should we Add 1 or where should we subtract 1 from equation to prove B.P.T problem Sums.

Discussion

8559.	Construct a ΔABC in which BC = 6 cm, ∠B = 35∘and ∠C = 100∘
Answer» Construct a ΔABC in which BC = 6 cm, ∠B = $35^{\circ}$ and ∠C = $100^{\circ}$

Discussion

8560.	Regardez l'image et répondez.1. Qu'est-ce que c'est?2. Que trouve-t-on ici?
Answer» Regardez l'image et répondez. 1. Qu'est-ce que c'est? 2. Que trouve-t-on ici?

Discussion

8561.	Select the statements that are true.
Answer» Select the statements that are true.

Discussion

8562.	The number π + 7 is
Answer» The number π + 7 is

Discussion

8563.	Question 27 In questions 24 to 59, fill in the blanks to make the statements true. 120 % of 50 km = ___
Answer» Question 27 In questions 24 to 59, fill in the blanks to make the statements true. 120 % of 50 km = ___

8563.

Question 27 In questions 24 to 59, fill in the blanks to make the statements true. 120 % of 50 km = ___

Answer»

Question 27

In questions 24 to 59, fill in the blanks to make the statements true.
120 % of 50 km = ___

Discussion

8564.	Which of the given options is the cube formed from the net given below when folded away from the viewer?
Answer» Which of the given options is the cube formed from the net given below when folded away from the viewer?

Discussion

8565.	Write the number 13 +710+31000 in the form of decimals.
Answer» Write the number $13 + \frac{7}{10} + \frac{3}{1000}$ in the form of decimals.

Discussion

8566.	Question 70There is a circular pond and a footpath runs along its boundary. A person walks around it, exactly once keeping close to the edge. If his step is 66 cm long and he takes exactly 400 steps to go around the pond, then find the diameter of the pond.
Answer» Question 70 There is a circular pond and a footpath runs along its boundary. A person walks around it, exactly once keeping close to the edge. If his step is 66 cm long and he takes exactly 400 steps to go around the pond, then find the diameter of the pond.

8566.

Question 70There is a circular pond and a footpath runs along its boundary. A person walks around it, exactly once keeping close to the edge. If his step is 66 cm long and he takes exactly 400 steps to go around the pond, then find the diameter of the pond.

Answer»

Question 70

There is a circular pond and a footpath runs along its boundary. A person walks around it, exactly once keeping close to the edge. If his step is 66 cm long and he takes exactly 400 steps to go around the pond, then find the diameter of the pond.

Discussion

8567.	Arun boards a bus at 1:00 PM and gets off at 5:00 PM. He has travelled 360 km. What is the speed of the bus?
Answer» Arun boards a bus at 1:00 PM and gets off at 5:00 PM. He has travelled 360 km. What is the speed of the bus?

Discussion

8568.	What is the mean of the numbers 5,6 and 7
Answer» What is the mean of the numbers 5,6 and 7

Discussion

8569.	Akash has 6xy+4xy2 chocolates. He wants to distribute them to 2x children. How many chocolates does each of the child get if y = 2?
Answer» Akash has $6 x y + 4 x y^{2}$ chocolates. He wants to distribute them to 2x children. How many chocolates does each of the child get if y = 2?

Discussion

8570.	In adjoining figure PQ⊥BC, AD⊥BC then find following ratios.(i) A△PQBA△PBC [A represents Area](ii) A△PBCA△ABC(iii) A△ABCA△ADC(iv) A△ADCA△PQC
Answer» In adjoining figure $P Q ⊥ B C,$ $A D ⊥ B C$ then find following ratios. (i) $\frac{A △ P Q B}{A △ P B C}$ [A represents Area] (ii) $\frac{A △ P B C}{A △ A B C}$ (iii) $\frac{A △ A B C}{A △ A D C}$ (iv) $\frac{A △ A D C}{A △ P Q C}$

Discussion

8571.	Find the value of (12÷2)÷2
Answer» Find the value of $(12 \div 2) \div 2$

Discussion

8572.	a car is moving on asraight road covers one third of the distance with speed of 20 km/h and rest of the distance with speed 60km/h .the avg. speed of car
Answer» a car is moving on asraight road covers one third of the distance with speed of 20 km/h and rest of the distance with speed 60km/h .the avg. speed of car

Discussion

8573.	Write a program to find average of three numbers.
Answer» Write a program to find average of three numbers.

Discussion

8574.	One brick of Ice cream is divided among 3 children in the ratio 2 : 5 : 3. If the quantity of ice cream that the first child gets is 400 grams, what is the weight of the full brick?
Answer» One brick of Ice cream is divided among 3 children in the ratio 2 : 5 : 3. If the quantity of ice cream that the first child gets is 400 grams, what is the weight of the full brick?

Discussion

8575.	If the areas of triangles APB and PCB are 60 cm2 and 40 cm2 respectively and if their heights are 6 cm and 5 cm respectively, then what is the perimeter of the rectangle ABCD?
Answer» If the areas of triangles APB and PCB are $60 {cm}^{2}$ and $40 {cm}^{2}$ respectively and if their heights are 6 cm and 5 cm respectively, then what is the perimeter of the rectangle ABCD?

Discussion

8576.	Which of the following is/are an algebraic expression?
Answer» Which of the following is/are an algebraic expression?

Discussion

8577.	To get a driving license in the United States, a person need to be at least 16 years old. If x is the age of a person, then write the previous statement as an inequality.
Answer» To get a driving license in the United States, a person need to be at least 16 years old. If $x$ is the age of a person, then write the previous statement as an inequality.

Discussion

8578.	Find out whether the given image shows rotational symmetry for a quarter of a turn.
Answer» Find out whether the given image shows rotational symmetry for a quarter of a turn.

Discussion

8579.

From the following Information, prepare Comparative Statement of Profit and Loss: Particulars 31st March, 2019 31st March, 2018 Revenue from Operations ₹ 30,00,000 ₹ 20,00,000 Other Income (% of Revenue from Operations) 12% 20% Expenses (% of Operating Revenue) 70% 60% Tax Rate 40% 40%

Answer» From the following Information, prepare Comparative Statement of Profit and Loss:

Particulars	31st March, 2019	31st March, 2018
Revenue from Operations	₹ 30,00,000	₹ 20,00,000
Other Income (% of Revenue from Operations)	12%	20%
Expenses (% of Operating Revenue)	70%	60%
Tax Rate	40%	40%

Discussion

8580.	If a basketball costs ₹ 25 and there is a 50% discount, how much money is saved?
Answer» If a basketball costs ₹ 25 and there is a 50% discount, how much money is saved?

Discussion

8581.	The following table shows the Score comparisons of the 2 legendary batsmen Sachin and Dravid for a series of years.Which of the following graphs would correctly show the graph comparisons?
Answer» The following table shows the Score comparisons of the 2 legendary batsmen Sachin and Dravid for a series of years. Which of the following graphs would correctly show the graph comparisons?

8581.

The following table shows the Score comparisons of the 2 legendary batsmen Sachin and Dravid for a series of years.Which of the following graphs would correctly show the graph comparisons?

Answer»

The following table shows the Score comparisons of the 2 legendary batsmen Sachin and Dravid for a series of years.

Which of the following graphs would correctly show the graph comparisons?

Discussion

8582.	If the exterior angles of a triangles are in the ratio 1:3:5, find the angles.
Answer» If the exterior angles of a triangles are in the ratio $1 : 3 : 5,$ find the angles.

Discussion

8583.	A car runs 16 km using 1 litre of petrol. How much distance will it cover using 234 litres of petrol?
Answer» A car runs $16 k m$ using $1$ litre of petrol. How much distance will it cover using $2 \frac{3}{4}$ litres of petrol?

Discussion

8584.	A ray of light parallel to y−axis is incident on a circle x2+y2=R2 polished from inside as shown in the figure. Find the co-ordinate of x and y of the point at which the incident ray should fall such that the reflected ray becomes horizontal after reflection.
Answer» A ray of light parallel to $y -$ axis is incident on a circle $x^{2} + y^{2} = R^{2}$ polished from inside as shown in the figure. Find the co-ordinate of $x and y$ of the point at which the incident ray should fall such that the reflected ray becomes horizontal after reflection.

Discussion

8585.	Which of the following is the correct representation of the number line for integer 3 more than −1?
Answer» Which of the following is the correct representation of the number line for integer $3$ more than $- 1$ ?

Discussion

8586.	-2^5 ×-2^3 ÷2^{10
Answer» -2^5 ×-2^3 ÷2^{10

Discussion

8587.	Solve the following equation by transposing the terms and check your result:3y+4=5y−4
Answer» Solve the following equation by transposing the terms and check your result: $3 y + 4 = 5 y - 4$

Discussion

8588.	Multiply (2x – 2y – 3) with (x + y + 5)
Answer» Multiply (2x – 2y – 3) with (x + y + 5)

Discussion

8589.	Question 84 (iii)Simplify(79a+97b)2−ab
Answer» Question 84 (iii) Simplify ${(\frac{7}{9} a + \frac{9}{7} b)}^{2} - a b$

8589.

Question 84 (iii)Simplify(79a+97b)2−ab

Answer»

Question 84 (iii)

Simplify

${(\frac{7}{9} a + \frac{9}{7} b)}^{2} - a b$

Discussion

8590.	The value of 3.00 km in yards upto correctsignificant figures and the scientific notation is,(1m 1.094 yards)(1) 3282(2) 32.8 x 102(3) 3.28 x 10(4) 328.2 x 101
Answer» The value of 3.00 km in yards upto correctsignificant figures and the scientific notation is,(1m 1.094 yards)(1) 3282(2) 32.8 x 102(3) 3.28 x 10(4) 328.2 x 101

Discussion

8591.	In a squared sheet, draw two triangles of equal area such that:The triangles are congruent.What can you say about their perimeters?
Answer» In a squared sheet, draw two triangles of equal area such that: The triangles are congruent. What can you say about their perimeters?

Discussion

8592.

From the folowing particulars, find out corrected bank balance as per Cash Book and thereafter proepare a Bank Reconcilation Statement as on 31st March, 2018 of a sole proprietor: ₹ (i) Bank overdraft as per the Cash Book. 80,000 (ii) Cheques deposited as per the bank statement but not entered in the Cash Book. 3,000 (iii) Cheques recorded for collection but not sent to the bank. 10,000 (iv) Credit side of bank column casted short. 1,000 (v) Bank charges recorded twice in the Cash Book. 100 (vi) Customer's cheque returned as per the Bank Statement. 4,000 (vii) Cheques issued but dishonoured on technical grounds. 3,000 (viii) Bill collected by bank directly. 20,000 (ix) Cheque received entered twice in the Cash Book. 5,000

Answer» From the folowing particulars, find out corrected bank balance as per Cash Book and thereafter proepare a Bank Reconcilation Statement as on 31st March, 2018 of a sole proprietor:

		₹
(i)	Bank overdraft as per the Cash Book.	80,000
(ii)	Cheques deposited as per the bank statement but not entered in the Cash Book.	3,000
(iii)	Cheques recorded for collection but not sent to the bank.	10,000
(iv)	Credit side of bank column casted short.	1,000
(v)	Bank charges recorded twice in the Cash Book.	100
(vi)	Customer's cheque returned as per the Bank Statement.	4,000
(vii)	Cheques issued but dishonoured on technical grounds.	3,000
(viii)	Bill collected by bank directly.	20,000
(ix)	Cheque received entered twice in the Cash Book.	5,000

Discussion

8593.	Identify the greater number:53 or 35
Answer» Identify the greater number: $5^{3} o r 3^{5}$

Discussion

8594.	Let ABC is a right angled triangle,angleB=90^°and O is the midpoint of AC. Prove that AO=BO=CO.
Answer» Let ABC is a right angled triangle,angleB=90^°and O is the midpoint of AC. Prove that AO=BO=CO.

Discussion

8595.	On 60 km track a train travelled the 1st 30 km at uniform speed of 30 km/hr. How fast must the train travelled the next 30 km so that the average speed is 40 km/hr for the entire trip
Answer» On 60 km track a train travelled the 1st 30 km at uniform speed of 30 km/hr. How fast must the train travelled the next 30 km so that the average speed is 40 km/hr for the entire trip

Discussion

8596.	Question 140 In the given figure, if y is five times x, find the value of z.
Answer» Question 140 In the given figure, if y is five times x, find the value of z.

8596.

Question 140 In the given figure, if y is five times x, find the value of z.

Answer»

Question 140

In the given figure, if y is five times x, find the value of z.

Discussion

8597.	What is the time taken by the light to travel from the Sun to the Earth?
Answer» What is the time taken by the light to travel from the Sun to the Earth?

Discussion

8598.	Question 1(ii)Carry out the multiplication of the expressions in each of the following pairs: ab,a-b
Answer» Question 1(ii) Carry out the multiplication of the expressions in each of the following pairs: ab,a-b

Discussion

8599.

The figure shows an equilateral ΔABC of side 10 cm and a right angle ΔBDC whose side BD = 8 cm and ∠D=90∘.Then, find the area of the shaded portion.

Answer»

The figure shows an equilateral $Δ A B C$ of side 10 cm and a right angle $Δ B D C$ whose side BD = 8 cm and $∠ D = 90^{\circ}$ .

Then, find the area of the shaded portion.

Discussion

8600.	Mark the correct alternative in each of the following:Which of the following fractions is more than one-third?(a) 2370 (b) 205819 (c) 2675 (d) 118335
Answer» Mark the correct alternative in each of the following: Which of the following fractions is more than one-third? (a) $\frac{23}{70}$ (b) $\frac{205}{819}$ (c) $\frac{26}{75}$ (d) $\frac{118}{335}$

Discussion

Explore topic-wise InterviewSolutions in .

The ratio of the area of a smaller circle to the bigger circle is 1 : 4 . Find radius of smaller circleradius of bigger circle.

Queston 4(iv)The following graph shows the temperature forecast and the actual temperature for each day of a week.On which day did the actual temperature differ the most from the forecast temperature?

Given : Arun's weight = 30 kg , Vinay's weight = 55 kg . The simplified ratio of weights of Arun and Vinay is :

In the given figure PQ ∥ XY ∥ RS. Also, y : z = 4 : 5, then the values of ∠x, ∠y and ∠z are (respectively).

If 12 + 45 = 40, 23 + 22 = 36, 32 + 24 = 64, then 41 + 58 = ?

38. A well of inner diameter 14m is dug out to a depth of 12m.Earth taken out of it has been evenly spread all around it to a width of 7m to form an embankment.Find the height of embankment so formed.

Multiply the following polynomials. (i) (m3 -2m + 3)(m4-2m2 + 3m + 2) (ii) (5m3 -2)(m2 - m + 3)

How to recognize or How will be able to know where should we Add 1 or where should we subtract 1 from equation to prove B.P.T problem Sums.

Construct a ΔABC in which BC = 6 cm, ∠B = 35∘and ∠C = 100∘

Regardez l'image et répondez.1. Qu'est-ce que c'est?2. Que trouve-t-on ici?

Select the statements that are true.

The number π + 7 is

Question 27 In questions 24 to 59, fill in the blanks to make the statements true. 120 % of 50 km = ___

Which of the given options is the cube formed from the net given below when folded away from the viewer?

Write the number 13 +710+31000​​​​​​​ in the form of decimals.

Question 70There is a circular pond and a footpath runs along its boundary. A person walks around it, exactly once keeping close to the edge. If his step is 66 cm long and he takes exactly 400 steps to go around the pond, then find the diameter of the pond.

Arun boards a bus at 1:00 PM and gets off at 5:00 PM. He has travelled 360 km. What is the speed of the bus?

What is the mean of the numbers 5,6 and 7

Akash has 6xy+4xy2 chocolates. He wants to distribute them to 2x children. How many chocolates does each of the child get if y = 2?

In adjoining figure PQ⊥BC, AD⊥BC then find following ratios.(i) A△PQBA△PBC [A represents Area](ii) A△PBCA△ABC(iii) A△ABCA△ADC(iv) A△ADCA△PQC

Find the value of (12÷2)÷2

a car is moving on asraight road covers one third of the distance with speed of 20 km/h and rest of the distance with speed 60km/h .the avg. speed of car

Write a program to find average of three numbers.

One brick of Ice cream is divided among 3 children in the ratio 2 : 5 : 3. If the quantity of ice cream that the first child gets is 400 grams, what is the weight of the full brick?

If the areas of triangles APB and PCB are 60 cm2 and 40 cm2 respectively and if their heights are 6 cm and 5 cm respectively, then what is the perimeter of the rectangle ABCD?

Which of the following is/are an algebraic expression?

To get a driving license in the United States, a person need to be at least 16 years old. If x is the age of a person, then write the previous statement as an inequality.

Find out whether the given image shows rotational symmetry for a quarter of a turn.

From the following Information, prepare Comparative Statement of Profit and Loss: Particulars 31st March, 2019 31st March, 2018 Revenue from Operations ₹ 30,00,000 ₹ 20,00,000 Other Income (% of Revenue from Operations) 12% 20% Expenses (% of Operating Revenue) 70% 60% Tax Rate 40% 40%

If a basketball costs ₹ 25 and there is a 50% discount, how much money is saved?

The following table shows the Score comparisons of the 2 legendary batsmen Sachin and Dravid for a series of years.Which of the following graphs would correctly show the graph comparisons?

If the exterior angles of a triangles are in the ratio 1:3:5, find the angles.

A car runs 16 km using 1 litre of petrol. How much distance will it cover using 234 litres of petrol?

A ray of light parallel to y−axis is incident on a circle x2+y2=R2 polished from inside as shown in the figure. Find the co-ordinate of x and y of the point at which the incident ray should fall such that the reflected ray becomes horizontal after reflection.

Which of the following is the correct representation of the number line for integer 3 more than −1?

-2^5 ×-2^3 ÷2^{10

Solve the following equation by transposing the terms and check your result:3y+4=5y−4

Multiply (2x – 2y – 3) with (x + y + 5)

Question 84 (iii)Simplify(79a+97b)2−ab

The value of 3.00 km in yards upto correctsignificant figures and the scientific notation is,(1m 1.094 yards)(1) 3282(2) 32.8 x 102(3) 3.28 x 10(4) 328.2 x 101

In a squared sheet, draw two triangles of equal area such that:The triangles are congruent.What can you say about their perimeters?

Identify the greater number:53 or 35

Let ABC is a right angled triangle,angleB=90^°and O is the midpoint of AC. Prove that AO=BO=CO.

On 60 km track a train travelled the 1st 30 km at uniform speed of 30 km/hr. How fast must the train travelled the next 30 km so that the average speed is 40 km/hr for the entire trip

Question 140 In the given figure, if y is five times x, find the value of z.

What is the time taken by the light to travel from the Sun to the Earth?

Question 1(ii)Carry out the multiplication of the expressions in each of the following pairs: ab,a-b

The figure shows an equilateral ΔABC of side 10 cm and a right angle ΔBDC whose side BD = 8 cm and ∠D=90∘.Then, find the area of the shaded portion.

Mark the correct alternative in each of the following:Which of the following fractions is more than one-third?(a) 2370 (b) 205819 (c) 2675 (d) 118335

Write the number 13 +710+31000 in the form of decimals.