19743 + Interview Questions in Mathematics Page 2 InterviewSolution

51.	What will be the time period of a simple pendulum in a satellite revolving in a geostationary orbit ?
Answer» What will be the time period of a simple pendulum in a satellite revolving in a geostationary orbit ?

Discussion

52.	The sides of a triangle park are in ratio 3:5:7, if its perimeter is 90 m, then find its side lengths.
Answer» The sides of a triangle park are in ratio 3:5:7, if its perimeter is 90 m, then find its side lengths.

Discussion

53.	Ramesh recalled about the North Star and questioned Tina and Rina that which part of algebraic expression exhibits similar characteristics of a North Star. The answer is _______.
Answer» Ramesh recalled about the North Star and questioned Tina and Rina that which part of algebraic expression exhibits similar characteristics of a North Star. The answer is _______.

Discussion

54.	If (k,2),(2,4) and (3,2) are vertices of the triangle of area 4 square units, then the value of k is/are
Answer» If $(k, 2), (2, 4)$ and $(3, 2)$ are vertices of the triangle of area $4$ square units, then the value of $k$ is/are

Discussion

55.	Divide the below figure into 9 equal parts and shade 13 of it in 3 different ways.
Answer» Divide the below figure into 9 equal parts and shade $\frac{1}{3}$ of it in 3 different ways.

Discussion

56.	Question 66 State whether the statement is True or False. Vertically opposite angles form a linear pair.
Answer» Question 66 State whether the statement is True or False. Vertically opposite angles form a linear pair.

56.

Question 66 State whether the statement is True or False. Vertically opposite angles form a linear pair.

Answer»

Question 66

State whether the statement is True or False.

Vertically opposite angles form a linear pair.

Discussion

57.	Question 1 The solution of the equation ax + b = 0 is (a) ab (b) -b (c) −ba (d) ba
Answer» Question 1 The solution of the equation ax + b = 0 is (a) $\frac{a}{b}$ (b) -b (c) $- \frac{b}{a}$ (d) $\frac{b}{a}$

57.

Question 1 The solution of the equation ax + b = 0 is (a) ab (b) -b (c) −ba (d) ba

Answer»

Question 1

The solution of the equation ax + b = 0 is

(a) $\frac{a}{b}$

(b) -b

(c) $- \frac{b}{a}$

(d) $\frac{b}{a}$

Discussion

58.	Question 15In an equilateral triangle ABC, D is a point on side BC such that BD=13BC. Prove that 9AD2=7AB2.
Answer» Question 15 In an equilateral triangle ABC, D is a point on side BC such that $B D = \frac{1}{3} B C$ . Prove that $9 A D^{2} = 7 A B^{2}$ .

Discussion

59.	A triangle ABC is drawn to circumscribe a circleof radius 4 cm such that the segments BD andDC into which BC is divided by the point ofcontact D are of lengths 8 cm and 6 cmrespectively . Find the sides ABand AC.
Answer» A triangle ABC is drawn to circumscribe a circleof radius 4 cm such that the segments BD andDC into which BC is divided by the point ofcontact D are of lengths 8 cm and 6 cmrespectively . Find the sides ABand AC.

Discussion

60.	In the adjoining figure, line a ∥ line b. Line l is a transversal. Find the measures of ∠x, ∠y, ∠z using the given information.
Answer» In the adjoining figure, line a ∥ line b. Line l is a transversal. Find the measures of ∠x, ∠y, ∠z using the given information.

Discussion

61.	xx√x=(x√x)x. Find the value of x
Answer» $x^{x \sqrt{x}} = (x \sqrt{x})^{x}$ . Find the value of x

Discussion

62.	Question 3Cadets are marching in a parade. There are 5 cadets in a row. What is the rule, which gives the number of cadets, given the number of rows? (Use n for the number of rows.)
Answer» Question 3 Cadets are marching in a parade. There are 5 cadets in a row. What is the rule, which gives the number of cadets, given the number of rows? (Use n for the number of rows.)

62.

Question 3Cadets are marching in a parade. There are 5 cadets in a row. What is the rule, which gives the number of cadets, given the number of rows? (Use n for the number of rows.)

Answer»

Question 3

Cadets are marching in a parade. There are 5 cadets in a row. What is the rule, which gives the number of cadets, given the number of rows? (Use n for the number of rows.)

Discussion

63.	Let A=(1,2,3,4,5) and let B=A× A. Define the relation R on B as follows (a,b)R(c,d) if and only if ad=cb. then R i
Answer» Let A=(1,2,3,4,5) and let B=A× A. Define the relation R on B as follows (a,b)R(c,d) if and only if ad=cb. then R i

Discussion

64.	While travelling to their aunt’s place, Rina and Tina saw a milestone which read ‘Bangalore 34.6745 km’. They were curious to know what that meant and asked their dad. He told them that it’s the distance left to reach Bangalore. Choose the correct inference(s) made by the twins.
Answer» While travelling to their aunt’s place, Rina and Tina saw a milestone which read ‘Bangalore 34.6745 km’. They were curious to know what that meant and asked their dad. He told them that it’s the distance left to reach Bangalore. Choose the correct inference(s) made by the twins.

Discussion

65.	How many prime numbers exist from 1 to 10?
Answer» How many prime numbers exist from 1 to 10?

Discussion

66.	Which of the following is/are non-polyhedron(s)?
Answer» Which of the following is/are non-polyhedron(s)?

Discussion

67.	If a = 1, b = 2 and c = −3, put the values in the given equations and mention the law which they prove.(1) [2a + (−3b)] c = 2ac − 3bc(2) a × (2b × 3c) = (a × 2b) × 3c
Answer» If a = 1, b = 2 and c = −3, put the values in the given equations and mention the law which they prove. (1) [2a + (−3b)] c = 2ac − 3bc (2) a × (2b × 3c) = (a × 2b) × 3c

67.

If a = 1, b = 2 and c = −3, put the values in the given equations and mention the law which they prove.(1) [2a + (−3b)] c = 2ac − 3bc(2) a × (2b × 3c) = (a × 2b) × 3c

Answer»

If a = 1, b = 2 and c = −3, put the values in the given equations and mention the law which they prove.

(1) [2a + (−3b)] c = 2ac − 3bc

(2) a × (2b × 3c) = (a × 2b) × 3c

Discussion

68.	Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500 m2 and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.
Answer» Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500 $m^{2}$ and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.

Discussion

69.	For the diagram shown above, ∠3 & are alternate interior angles while ∠3 & co-interior angles.
Answer» For the diagram shown above, $∠ 3 &$ are alternate interior angles while $∠ 3 &$ co-interior angles.

Discussion

70.	When the numerator is increased by 17 and the denominator is decreased by 1, the fraction obtained is 32. Knowing that the denominator is greater than the numerator by 8, how do we represent the above situation in the form of an equation?
Answer» When the numerator is increased by 17 and the denominator is decreased by 1, the fraction obtained is $\frac{3}{2}$ . Knowing that the denominator is greater than the numerator by 8, how do we represent the above situation in the form of an equation?

Discussion

71.	What is the missing number in the given magic square? 81635749?2
Answer» What is the missing number in the given magic square? $\begin{matrix} 8 & 1 & 6 3 & 5 & 7 4 & 9 & ? \end{matrix}$ 2

Discussion

72.	Write the equivalent and the equal symbol for the following sets.
Answer» Write the equivalent and the equal symbol for the following sets.

72.

Write the equivalent and the equal symbol for the following sets.

Answer»

Write the equivalent and the equal symbol for the following sets.

Discussion

73.	चेजारों के साथ गाँव-समाज के व्यवहार में पहले की तुलना में आज क्या फ़र्क आया है? पाठ के आधार पर बताइए।
Answer» चेजारों के साथ गाँव-समाज के व्यवहार में पहले की तुलना में आज क्या फ़र्क आया है? पाठ के आधार पर बताइए।

Discussion

74.	Tell whatis the profit or loss in the following transactions. Also find profitpercent orloss percent in each case.(a) Gardeningshears bought for Rs 250 and sold for Rs 325.(b) Arefrigerator bought for Rs 12,000 and sold at Rs 13,500.(c) Acupboard bought for Rs 2,500 and sold at Rs 3,000.(d) Askirt bought for Rs 250 and sold at Rs 150.
Answer» Tell what is the profit or loss in the following transactions. Also find profit percent or loss percent in each case. (a) Gardening shears bought for Rs 250 and sold for Rs 325. (b) A refrigerator bought for Rs 12,000 and sold at Rs 13,500. (c) A cupboard bought for Rs 2,500 and sold at Rs 3,000. (d) A skirt bought for Rs 250 and sold at Rs 150.

74.

Tell whatis the profit or loss in the following transactions. Also find profitpercent orloss percent in each case.(a) Gardeningshears bought for Rs 250 and sold for Rs 325.(b) Arefrigerator bought for Rs 12,000 and sold at Rs 13,500.(c) Acupboard bought for Rs 2,500 and sold at Rs 3,000.(d) Askirt bought for Rs 250 and sold at Rs 150.

Answer»

Tell what
is the profit or loss in the following transactions. Also find profit

percent or
loss percent in each case.

(a) Gardening
shears bought for Rs 250 and sold for Rs 325.

(b) A
refrigerator bought for Rs 12,000 and sold at Rs 13,500.

(c) A
cupboard bought for Rs 2,500 and sold at Rs 3,000.

(d) A
skirt bought for Rs 250 and sold at Rs 150.

Discussion

75.	A survey was conducted with 160 people about their favourite film of all time. The following graph shows their findings. What percentage of surveyed people like Rockey?
Answer» A survey was conducted with 160 people about their favourite film of all time. The following graph shows their findings. What percentage of surveyed people like Rockey?

75.

A survey was conducted with 160 people about their favourite film of all time. The following graph shows their findings. What percentage of surveyed people like Rockey?

Answer»

A survey was conducted with 160 people about their favourite film of all time. The following graph shows their findings.

What percentage of surveyed people like Rockey?

Discussion

76.	A sum of money triples itself in 20 years at simple interest. Find the rate of interest?
Answer» A sum of money triples itself in 20 years at simple interest. Find the rate of interest?

Discussion

77.	Which of the following is the correct representation of 37 on the number line?
Answer» Which of the following is the correct representation of $\frac{3}{7}$ on the number line?

Discussion

78.	How will the deep drawing of the solid formed, from the given net, look like?
Answer» How will the deep drawing of the solid formed, from the given net, look like?

Discussion

79.	66, 36, 18, ?
Answer» 66, 36, 18, ?

Discussion

80.	Write a Pythagorean triplet whose one member is 14.
Answer» Write a Pythagorean triplet whose one member is 14.

Discussion

81.	Find the order the rotational symmetry for the given figure.
Answer» Find the order the rotational symmetry for the given figure.

Discussion

82.	Q16. Summation of C(20,k) =2¹⁹+1/2C(20,10)
Answer» Q16. Summation of C(20,k) =2¹⁹+1/2C(20,10)

Discussion

83.	Prove that the centre of the circum circle of a right angled triangle is the midpoint of its hypotenuse.
Answer» Prove that the centre of the circum circle of a right angled triangle is the midpoint of its hypotenuse.

83.

Prove that the centre of the circum circle of a right angled triangle is the midpoint of its hypotenuse.

Answer»

Prove that the centre of the circum circle of a right angled triangle is the midpoint of its hypotenuse.

Discussion

84.	Saimawants to put a lace on the edge of a circular table cover of diameter1.5 m. Find the length of the lace required and also find its cost ifone meter of the lace costs Rs 15.( Takeπ= 3.14)
Answer» Saima wants to put a lace on the edge of a circular table cover of diameter 1.5 m. Find the length of the lace required and also find its cost if one meter of the lace costs Rs 15.( Takeπ = 3.14)

Discussion

85.	Sushma wants to buy some gifts for her parent's anniversary. So she decided to sell 25.5 grams of gold. If 1 gram of gold costs Rs.2700, what will be the total amount that she will receive?
Answer» Sushma wants to buy some gifts for her parent's anniversary. So she decided to sell 25.5 grams of gold. If 1 gram of gold costs Rs.2700, what will be the total amount that she will receive?

Discussion

86.	20. Under what conditions is the matrix equation A2-B2=(A-B)(A+B) is true?
Answer» 20. Under what conditions is the matrix equation A2-B2=(A-B)(A+B) is true?

Discussion

87.	∆ABC is constructed such that AB = 7 cm, AC = 4 cm and ∠A = 75⁰. Then find the length of side BC.
Answer» ∆ABC is constructed such that AB = 7 cm, AC = 4 cm and ∠A = 75⁰. Then find the length of side BC.

Discussion

88.	(a) There are 9 cans on this shelf. What can be the total number of cans in this shelf? (b) Name the polygon formed on the front side of the figure. [2 MARKS]
Answer» (a) There are 9 cans on this shelf. What can be the total number of cans in this shelf? (b) Name the polygon formed on the front side of the figure. [2 MARKS]

Discussion

89.	Question 1If you subtract 12 from a number and multiply the result by 12, you get 18. what is the number?
Answer» Question 1 If you subtract $\frac{1}{2}$ from a number and multiply the result by $\frac{1}{2}$ , you get $\frac{1}{8}$ . what is the number?

Discussion

90.	3 sides of triangle are consecutive integers and the largest angle is twice the smallest angle. Then the perimeter of triangle is ?. And also find all angles of the triangle.
Answer» 3 sides of triangle are consecutive integers and the largest angle is twice the smallest angle. Then the perimeter of triangle is ?. And also find all angles of the triangle.

Discussion

91.	A square made from a wire of length 44 cm is restructured to form a circle. Find the area of the circle formed.
Answer» A square made from a wire of length 44 cm is restructured to form a circle. Find the area of the circle formed.

Discussion

92.	Represent 23 on a number line.
Answer» Represent $\frac{2}{3}$ on a number line.

Discussion

93.	Find the LCM and HCF of the following integers by applying the prime factorization method : 17, 23 and 29
Answer» Find the LCM and HCF of the following integers by applying the prime factorization method : 17, 23 and 29

Discussion

94.	Choose the wrong number in the series given below :5,12,8,18,13,24,14
Answer» Choose the wrong number in the series given below : $5, 12, 8, 18, 13, 24, 14$

Discussion

95.	What do you get when (−4) is subtracted from 3?
Answer» What do you get when (−4) is subtracted from 3?

Discussion

96.	Alex wants to draw two triangles ABC and DEF, such that:AB = DEBC= EF∠C=∠FWe have AB = 5 cm, BC = 6 cm and ∠C=60∘. Can you construct the two triangles and are the two triangles congruent? Give reasons for your answer.
Answer» Alex wants to draw two triangles ABC and DEF, such that: AB = DE BC= EF $∠ C = ∠ F$ We have AB = 5 cm, BC = 6 cm and $∠ C = 60^{\circ}$ . Can you construct the two triangles and are the two triangles congruent? Give reasons for your answer.

Discussion

97.	Given trapezium ABCD where ΔDAB≅ΔCBA.Which of the following options is true based on the given information?
Answer» Given trapezium ABCD where $Δ D A B ≅ Δ C B A$ . Which of the following options is true based on the given information?

97.

Given trapezium ABCD where ΔDAB≅ΔCBA.Which of the following options is true based on the given information?

Answer»

Given trapezium ABCD where $Δ D A B ≅ Δ C B A$ .

Which of the following options is true based on the given information?

Discussion

98.	The sum of two numbers is 8 determine the numbers if the sum of their reciprocal is 8 by 15
Answer» The sum of two numbers is 8 determine the numbers if the sum of their reciprocal is 8 by 15

Discussion

99.	Question 3(v) Multiply and reduce to lowest form and convert into a mixed fraction: 23×4
Answer» Question 3(v) Multiply and reduce to lowest form and convert into a mixed fraction: $\frac{2}{3} \times 4$

Discussion

100.	In a marathon of 5.75 km, a runner takes two breaks, one after 2.8 km and another after 1.3 km. How many more kilometres does the runner have to run to complete the marathon?
Answer» In a marathon of 5.75 km, a runner takes two breaks, one after 2.8 km and another after 1.3 km. How many more kilometres does the runner have to run to complete the marathon?

Discussion

Explore topic-wise InterviewSolutions in .

What will be the time period of a simple pendulum in a satellite revolving in a geostationary orbit ?

The sides of a triangle park are in ratio 3:5:7, if its perimeter is 90 m, then find its side lengths.

Ramesh recalled about the North Star and questioned Tina and Rina that which part of algebraic expression exhibits similar characteristics of a North Star. The answer is _______.

If (k,2),(2,4) and (3,2) are vertices of the triangle of area 4 square units, then the value of k is/are

Divide the below figure into 9 equal parts and shade 13 of it in 3 different ways.

Question 66 State whether the statement is True or False. Vertically opposite angles form a linear pair.

Question 1 The solution of the equation ax + b = 0 is (a) ab (b) -b (c) −ba (d) ba

Question 15In an equilateral triangle ABC, D is a point on side BC such that BD=13BC. Prove that 9AD2=7AB2.

A triangle ABC is drawn to circumscribe a circleof radius 4 cm such that the segments BD andDC into which BC is divided by the point ofcontact D are of lengths 8 cm and 6 cmrespectively . Find the sides ABand AC.

In the adjoining figure, line a ∥ line b. Line l is a transversal. Find the measures of ∠x, ∠y, ∠z using the given information.

xx√x=(x√x)x. Find the value of x

Question 3Cadets are marching in a parade. There are 5 cadets in a row. What is the rule, which gives the number of cadets, given the number of rows? (Use n for the number of rows.)

Let A=(1,2,3,4,5) and let B=A× A. Define the relation R on B as follows (a,b)R(c,d) if and only if ad=cb. then R i

While travelling to their aunt’s place, Rina and Tina saw a milestone which read ‘Bangalore 34.6745 km’. They were curious to know what that meant and asked their dad. He told them that it’s the distance left to reach Bangalore. Choose the correct inference(s) made by the twins.

How many prime numbers exist from 1 to 10?

Which of the following is/are non-polyhedron(s)?

If a = 1, b = 2 and c = −3, put the values in the given equations and mention the law which they prove.(1) [2a + (−3b)] c = 2ac − 3bc(2) a × (2b × 3c) = (a × 2b) × 3c

Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500 m2 and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.

For the diagram shown above, ∠3 &amp; are alternate interior angles while ∠3 &amp; co-interior angles.

When the numerator is increased by 17 and the denominator is decreased by 1, the fraction obtained is 32. Knowing that the denominator is greater than the numerator by 8, how do we represent the above situation in the form of an equation?

What is the missing number in the given magic square? 81635749?2

Write the equivalent and the equal symbol for the following sets.

चेजारों के साथ गाँव-समाज के व्यवहार में पहले की तुलना में आज क्या फ़र्क आया है? पाठ के आधार पर बताइए।

A survey was conducted with 160 people about their favourite film of all time. The following graph shows their findings. What percentage of surveyed people like Rockey?

A sum of money triples itself in 20 years at simple interest. Find the rate of interest?

Which of the following is the correct representation of 37 on the number line?

How will the deep drawing of the solid formed, from the given net, look like?

66, 36, 18, ?

Write a Pythagorean triplet whose one member is 14.

Find the order the rotational symmetry for the given figure.

Q16. Summation of C(20,k) =2¹⁹+1/2C(20,10)

Prove that the centre of the circum circle of a right angled triangle is the midpoint of its hypotenuse.

Saimawants to put a lace on the edge of a circular table cover of diameter1.5 m. Find the length of the lace required and also find its cost ifone meter of the lace costs Rs 15.( Takeπ= 3.14)

Sushma wants to buy some gifts for her parent's anniversary. So she decided to sell 25.5 grams of gold. If 1 gram of gold costs Rs.2700, what will be the total amount that she will receive?

20. Under what conditions is the matrix equation A2-B2=(A-B)(A+B) is true?

∆ABC is constructed such that AB = 7 cm, AC = 4 cm and ∠A = 75⁰. Then find the length of side BC.

(a) There are 9 cans on this shelf. What can be the total number of cans in this shelf? (b) Name the polygon formed on the front side of the figure. [2 MARKS]

Question 1If you subtract 12 from a number and multiply the result by 12, you get 18. what is the number?

3 sides of triangle are consecutive integers and the largest angle is twice the smallest angle. Then the perimeter of triangle is ?. And also find all angles of the triangle.

A square made from a wire of length 44 cm is restructured to form a circle. Find the area of the circle formed.

Represent 23 on a number line.

Find the LCM and HCF of the following integers by applying the prime factorization method : 17, 23 and 29

Choose the wrong number in the series given below :5,12,8,18,13,24,14

What do you get when (−4) is subtracted from 3?

Alex wants to draw two triangles ABC and DEF, such that:AB = DEBC= EF∠C=∠FWe have AB = 5 cm, BC = 6 cm and ∠C=60∘. Can you construct the two triangles and are the two triangles congruent? Give reasons for your answer.

Given trapezium ABCD where ΔDAB≅ΔCBA.Which of the following options is true based on the given information?

The sum of two numbers is 8 determine the numbers if the sum of their reciprocal is 8 by 15

Question 3(v) Multiply and reduce to lowest form and convert into a mixed fraction: 23×4

In a marathon of 5.75 km, a runner takes two breaks, one after 2.8 km and another after 1.3 km. How many more kilometres does the runner have to run to complete the marathon?

For the diagram shown above, ∠3 & are alternate interior angles while ∠3 & co-interior angles.