19743 + Interview Questions in Mathematics Page 62 InterviewSolution

3051.	Solve the following linear equations:(a) 4x + 5 = 9(b) x + 32 = 2x
Answer» Solve the following linear equations: (a) 4x + 5 = 9 (b) x + $\frac{3}{2}$ = 2x

Discussion

3052.	Without using the formula for compound interest solve the following problem:A sum of Rs 20,000 is borrowed by Simran for 2 years at an interest of 8% compounded annually. Find the Compound Interest (C.I.) and the amount she has to pay at the end of 2 years.
Answer» Without using the formula for compound interest solve the following problem: A sum of Rs 20,000 is borrowed by Simran for 2 years at an interest of 8% compounded annually. Find the Compound Interest (C.I.) and the amount she has to pay at the end of 2 years.

Discussion

3053.	A triangle of sides of length 6 cm, 7 cm and 7 cm is constructed. Then the measure of the angle opposite to the side of length 6 cm is
Answer» A triangle of sides of length 6 cm, 7 cm and 7 cm is constructed. Then the measure of the angle opposite to the side of length 6 cm is

Discussion

3054.	The rational number between 2/3and 3/4 is=
Answer» The rational number between 2/3and 3/4 is=

Discussion

3055.	The value of S in 13+S=25 is ____.
Answer» The value of S in $\frac{1}{3} + S = \frac{2}{5}$ is ____.

Discussion

3056.	Two angles are complementary if their sum is equal to _______degrees .
Answer» Two angles are complementary if their sum is equal to _______degrees .

Discussion

3057.	Question 7 (ii) Simplify these expression and find their values if x = 3, a = -1, b = -2: 2 - 8x + 4x + 4
Answer» Question 7 (ii) Simplify these expression and find their values if x = 3, a = -1, b = -2: 2 - 8x + 4x + 4

3057.

Question 7 (ii) Simplify these expression and find their values if x = 3, a = -1, b = -2: 2 - 8x + 4x + 4

Answer»

Question 7 (ii)

Simplify these expression and find their values if x = 3, a = -1, b = -2:
2 - 8x + 4x + 4

Discussion

3058.	Simplify: (x+3)(x+3)
Answer» Simplify: $(x + 3) (x + 3)$

Discussion

3059.	Compute the LCM of 30 and 12 using prime factor method.
Answer» Compute the LCM of 30 and 12 using prime factor method.

Discussion

3060.	In the figure, ABC is an isosceles triangle in which AB=AC. If D and E are the mid-points of sides AB and BC respectively and ∠DOE = 120º, find ∠ODE.
Answer» In the figure, ABC is an isosceles triangle in which AB=AC. If D and E are the mid-points of sides AB and BC respectively and $∠$ DOE = 120º, find $∠$ ODE.

3060.

In the figure, ABC is an isosceles triangle in which AB=AC. If D and E are the mid-points of sides AB and BC respectively and ∠DOE = 120º, find ∠ODE.

Answer»

In the figure, ABC is an isosceles triangle in which AB=AC. If D and E are the mid-points of sides AB and BC respectively and $∠$ DOE = 120º, find
$∠$ ODE.

Discussion

3061.	Find the additive inverse of -6 x 7.
Answer» Find the additive inverse of -6 x 7.

Discussion

3062.

The following table represents income of a Gram Panchayat from different sources in a particular year: Sources Income (in Rs) Income from local taxes 75000 Funds received from government 150000 Donations 25000 Income from other resources 50000 Draw a bar graph to represent the above information.

Answer» The following table represents income of a Gram Panchayat from different sources in a particular year:

Sources	Income (in Rs)
Income from local taxes	75000
Funds received from government	150000
Donations	25000
Income from other resources	50000

Draw a bar graph to represent the above information.

Discussion

3063.	In a park of dimensions 20m×15m, there is an L shaped 1m wide flower bed as shown in the figure. Find the total cost of manuring for the flower bed at the rate of ₹ 45 per m2.
Answer» In a park of dimensions $20 m \times 15 m$ , there is an L shaped 1m wide flower bed as shown in the figure. Find the total cost of manuring for the flower bed at the rate of ₹ 45 per $m^{2}$ .

Discussion

3064.	What will be the sign of quotient ,if we divide (-729) by 9?
Answer» What will be the sign of quotient ,if we divide (-729) by 9?

Discussion

3065.	If a, b, c are natural numbers such that a2 + b2 + c2 = 29 and ab + bc + ca = 26, and a + b + c = ______.(a) 9(b) 6(c) 7(d) 10
Answer» If a, b, c are natural numbers such that a² + b²+ c² = 29 and ab + bc + ca = 26, and a + b + c = ______. (a) 9 (b) 6 (c) 7 (d) 10

Discussion

3066.	11. ABC and ADC are two right triangles with common hypotenuse AC. Prove CAD= 2CBD.
Answer» 11. ABC and ADC are two right triangles with common hypotenuse AC. Prove CAD= 2CBD.

Discussion

3067.	Consider a line t perpendicular to l. If another line k is drawn perpendicular to t, show that l and k are parallel.
Answer» Consider a line t perpendicular to l. If another line k is drawn perpendicular to t, show that l and k are parallel.

Discussion

3068.	If the distance covered by a car in 4 hours is 240 km then the distance covered by the car in 1.5 hours is _____.
Answer» If the distance covered by a car in 4 hours is 240 km then the distance covered by the car in 1.5 hours is _____.

Discussion

3069.	Find theangle which is equal to its complement.
Answer» Find the angle which is equal to its complement.

Discussion

3070.	Question 1(i)State whether the given expression is an equation or not.Give reason for your answer.Identify the variable in the given expression7=(11×5)−(12×4)
Answer» Question 1(i) State whether the given expression is an equation or not.Give reason for your answer.Identify the variable in the given expression $7 = (11 \times 5) - (12 \times 4)$

3070.

Question 1(i)State whether the given expression is an equation or not.Give reason for your answer.Identify the variable in the given expression7=(11×5)−(12×4)

Answer»

Question 1(i)

State whether the given expression is an equation or not.Give reason for your answer.Identify the variable in the given expression

$7 = (11 \times 5) - (12 \times 4)$

Discussion

3071.	The probablity of getting a heads on flipping a fair coin for the first time is:
Answer» The probablity of getting a heads on flipping a fair coin for the first time is:

Discussion

3072.	why was rainbow appears in hemispherical shape only
Answer» why was rainbow appears in hemispherical shape only

Discussion

3073.	Given below is a parallelogram. AC and BD are diagonals. If AO = x + y, OC = 5y, DO = 3x, OB = 12, they find x and y.
Answer» Given below is a parallelogram. AC and BD are diagonals. If AO = x + y, OC = 5y, DO = 3x, OB = 12, they find x and y.

Discussion

3074.	7 If the sum of all positive rational numbers n such that n +84n+1941 is an integer is 189/k,then find k.
Answer» 7 If the sum of all positive rational numbers n such that n +84n+1941 is an integer is 189/k,then find k.

Discussion

3075.	If A = diag (2, –1, 3), B = diag (–1, 3, 2), then A2B = _______________.
Answer» If A = diag (2, –1, 3), B = diag (–1, 3, 2), then A²B = _______________.

Discussion

3076.	Subtract 9 from 12 by using the chip model.You begin withYou addWhich of the following chip structures represents the result?
Answer» Subtract 9 from 12 by using the chip model. You begin with You addWhich of the following chip structures represents the result?

Discussion

3077.	How do we represent a ‘Universal set’ through Venn diagram.
Answer» How do we represent a ‘Universal set’ through Venn diagram.

Discussion

3078.	Question 88Fill in the blanks to make the statements true.Adjacent angles of a parallelogram are ___
Answer» Question 88 Fill in the blanks to make the statements true. Adjacent angles of a parallelogram are ___

Discussion

3079.	According to the given table, find the relation between x and y. x1234y14916
Answer» According to the given table, find the relation between x and y. $\begin{matrix} x & 1 & 2 & 3 & 4 y & 1 & 4 & 9 & 16 \end{matrix}$

Discussion

3080.	Express 256×243 in exponential form.
Answer» Express $256 \times 243$ in exponential form.

Discussion

3081.	17. (1000)whose power 1000÷ (200)whose power is 200
Answer» 17. (1000)whose power 1000÷ (200)whose power is 200

Discussion

3082.	The marks scored by Parmeet in a math test are 11 more than twice the marks scored by Rita. If Parmeet scored 45, then the marks scored by Rita are:
Answer» The marks scored by Parmeet in a math test are 11 more than twice the marks scored by Rita. If Parmeet scored 45, then the marks scored by Rita are:

Discussion

3083.	the total number of non similar triangles which can be formed such that all the angles of the triangle are integers in n then n/900 is equal to
Answer» the total number of non similar triangles which can be formed such that all the angles of the triangle are integers in n then n/900 is equal to

Discussion

3084.	A of any given number is a natural number that divides the given number evenly.
Answer» A of any given number is a natural number that divides the given number evenly.

Discussion

3085.	A teacher earns ₹900 weekly and get as ₹45 extra for every extra hour (x) of teaching. The correct equation representing the total income (y) of the teacher is _____.
Answer» A teacher earns $₹ 900$ weekly and get as $₹ 45$ extra for every extra hour (x) of teaching. The correct equation representing the total income (y) of the teacher is _____.

Discussion

3086.	A regular polygon with each exterior angle of 18o has ______ sides.
Answer» A regular polygon with each exterior angle of 18^o has ______ sides.

Discussion

3087.	The percentage of acid in a solution of 7 litres of water and 3 litres of acid, when more acid is added.
Answer» The percentage of acid in a solution of 7 litres of water and 3 litres of acid, when more acid is added.

3087.

The percentage of acid in a solution of 7 litres of water and 3 litres of acid, when more acid is added.

Answer»

The percentage of acid in a solution of 7 litres of water and 3 litres of acid, when more acid is added.

Discussion

3088.	Area of a parallelogram , whose diagonals are 3i cap + j cap - 2k cap and i cap - 3j cap + 4k cap will be :- a) 14 units b) 53 units c) 103 units d) 203 units
Answer» Area of a parallelogram , whose diagonals are 3i cap + j cap - 2k cap and i cap - 3j cap + 4k cap will be :- a) 14 units b) 53 units c) 103 units d) 203 units

Discussion

3089.	Construct △DEF such that DE = 12 cm, DF = 5 cm and ∠EDF = 90⁰. Also, measure the length of the side EF.
Answer» Construct △DEF such that DE = 12 cm, DF = 5 cm and ∠EDF = 90⁰. Also, measure the length of the side EF.

Discussion

3090.	Which of the following fractions does notrepresent the ratio 1:6 ?
Answer» $Which of the following fractions does notrepresent the ratio 1:6 ?$

Discussion

3091.	Find the value (i) (-7)12 ÷(-7)12 (ii) 75 ÷ 73 (iii) 453÷452 (iv) 47÷45
Answer» Find the value (i) ( $- 7)^{12} \div (- 7)^{12}$ (ii) $7^{5}$ $\div 7^{3}$ (iii) ${(\frac{4}{5})}^{3} \div {(\frac{4}{5})}^{2}$ (iv) $4^{7} \div 4^{5}$

Discussion

3092.	If a fan has rotational symmetry of order 4, then how many blades does it have?
Answer» If a fan has rotational symmetry of order 4, then how many blades does it have?

Discussion

3093.	3(x +2)-2(x-1)=7
Answer» 3(x +2)-2(x-1)=7

Discussion

3094.	Ages of players in a cricket team are 25, 26, 25, 27, 28, 30, 31, 27, 33, 27, 29 find the minimum number of players to be added to the above team so that more of the data changes and what must be their ages
Answer» Ages of players in a cricket team are 25, 26, 25, 27, 28, 30, 31, 27, 33, 27, 29 find the minimum number of players to be added to the above team so that more of the data changes and what must be their ages

Discussion

3095.	Question 5(i) Find (a)12of(i)24(ii)46
Answer» Question 5(i) Find $(a) \frac{1}{2} o f (i) 24 (i i) 46$

Discussion

3096.	Which is greater, 12.0193 or 102.01?
Answer» Which is greater, 12.0193 or 102.01?

Discussion

3097.	If z = 10, find the value of z3−3(z−10)
Answer» If z = 10, find the value of $z^{3} - 3 (z - 10)$

Discussion

3098.	Question 1 Draw an angle of 110∘ with the help of a protractor and bisect it. Measure each angle.
Answer» Question 1 Draw an angle of $110^{\circ}$ with the help of a protractor and bisect it. Measure each angle.

Discussion

3099.	If A and B are two disjoint sets, then prove that their difference i.e. (A-B) and (B-A) are also disjoint sets.
Answer» If A and B are two disjoint sets, then prove that their difference i.e. (A-B) and (B-A) are also disjoint sets.

Discussion

3100.

Question 86 (ii) The sum of first n natural numbers is given by 12n2+12n. Find The sum of first 11 natural number

Answer»

Question 86 (ii)

The sum of first n natural numbers is given by $\frac{1}{2} n^{2} + \frac{1}{2} n$ . Find

The sum of first 11 natural number

Discussion

Explore topic-wise InterviewSolutions in .

Solve the following linear equations:(a) 4x + 5 = 9(b) x + 32 = 2x

Without using the formula for compound interest solve the following problem:A sum of Rs 20,000 is borrowed by Simran for 2 years at an interest of 8% compounded annually. Find the Compound Interest (C.I.) and the amount she has to pay at the end of 2 years.

A triangle of sides of length 6 cm, 7 cm and 7 cm is constructed. Then the measure of the angle opposite to the side of length 6 cm is

The rational number between 2/3and 3/4 is=

The value of S in 13+S=25 is ____.

Two angles are complementary if their sum is equal to _______degrees .

Question 7 (ii) Simplify these expression and find their values if x = 3, a = -1, b = -2: 2 - 8x + 4x + 4

Simplify: (x+3)(x+3)

Compute the LCM of 30 and 12 using prime factor method.

In the figure, ABC is an isosceles triangle in which AB=AC. If D and E are the mid-points of sides AB and BC respectively and ∠DOE = 120º, find ∠ODE.

Find the additive inverse of -6 x 7.

The following table represents income of a Gram Panchayat from different sources in a particular year: Sources Income (in Rs) Income from local taxes 75000 Funds received from government 150000 Donations 25000 Income from other resources 50000 Draw a bar graph to represent the above information.

In a park of dimensions 20m×15m, there is an L shaped 1m wide flower bed as shown in the figure. Find the total cost of manuring for the flower bed at the rate of ₹ 45 per m2.

What will be the sign of quotient ,if we divide (-729) by 9?

If a, b, c are natural numbers such that a2 + b2 + c2 = 29 and ab + bc + ca = 26, and a + b + c = ______.(a) 9(b) 6(c) 7(d) 10

11. ABC and ADC are two right triangles with common hypotenuse AC. Prove CAD= 2CBD.

Consider a line t perpendicular to l. If another line k is drawn perpendicular to t, show that l and k are parallel.

If the distance covered by a car in 4 hours is 240 km then the distance covered by the car in 1.5 hours is _____.

Find theangle which is equal to its complement.

Question 1(i)State whether the given expression is an equation or not.Give reason for your answer.Identify the variable in the given expression7=(11×5)−(12×4)

The probablity of getting a heads on flipping a fair coin for the first time is:

why was rainbow appears in hemispherical shape only

Given below is a parallelogram. AC and BD are diagonals. If AO = x + y, OC = 5y, DO = 3x, OB = 12, they find x and y.

7 If the sum of all positive rational numbers n such that n +84n+1941 is an integer is 189/k,then find k.

If A = diag (2, –1, 3), B = diag (–1, 3, 2), then A2B = _______________.

Subtract 9 from 12 by using the chip model.You begin withYou addWhich of the following chip structures represents the result?

How do we represent a ‘Universal set’ through Venn diagram.

Question 88Fill in the blanks to make the statements true.​​​​​​​Adjacent angles of a parallelogram are ___

According to the given table, find the relation between x and y. x1234y14916

Express 256×243 in exponential form.

17. (1000)whose power 1000÷ (200)whose power is 200

The marks scored by Parmeet in a math test are 11 more than twice the marks scored by Rita. If Parmeet scored 45, then the marks scored by Rita are:

the total number of non similar triangles which can be formed such that all the angles of the triangle are integers in n then n/900 is equal to

A of any given number is a natural number that divides the given number evenly.

A teacher earns ₹900 weekly and get as ₹45 extra for every extra hour (x) of teaching. The correct equation representing the total income (y) of the teacher is _____.

A regular polygon with each exterior angle of 18o has ______ sides.

The percentage of acid in a solution of 7 litres of water and 3 litres of acid, when more acid is added.

Area of a parallelogram , whose diagonals are 3i cap + j cap - 2k cap and i cap - 3j cap + 4k cap will be :- a) 14 units b) 53 units c) 103 units d) 203 units

Construct △DEF such that DE = 12 cm, DF = 5 cm and ∠EDF = 90⁰. Also, measure the length of the side EF.

Which of the following fractions does notrepresent the ratio 1:6 ?

Find the value (i) (-7)12 ÷(-7)12 (ii) 75 ÷ 73 (iii) 453÷452 (iv) 47÷45

If a fan has rotational symmetry of order 4, then how many blades does it have?

3(x +2)-2(x-1)=7

Ages of players in a cricket team are 25, 26, 25, 27, 28, 30, 31, 27, 33, 27, 29 find the minimum number of players to be added to the above team so that more of the data changes and what must be their ages

Question 5(i) Find (a)12of(i)24(ii)46

Which is greater, 12.0193 or 102.01?

If z = 10, find the value of z3−3(z−10)

Question 1 Draw an angle of 110∘ with the help of a protractor and bisect it. Measure each angle.

If A and B are two disjoint sets, then prove that their difference i.e. (A-B) and (B-A) are also disjoint sets.

Question 86 (ii) The sum of first n natural numbers is given by 12n2+12n. Find The sum of first 11 natural number

Question 88Fill in the blanks to make the statements true.Adjacent angles of a parallelogram are ___