24740 + Interview Questions in Mathematics Page 177 InterviewSolution

8801.	Construct a triangle with sides 5 cm , 5.5 cm and 6.5 cm. Construct another triangle whose sides are 35 times the corresponding sides of the first triangle.
Answer» Construct a triangle with sides 5 cm , 5.5 cm and 6.5 cm. Construct another triangle whose sides are $\frac{3}{5}$ times the corresponding sides of the first triangle.

Discussion

8802.	In a given figure, BE is a median of △ABD. If the area of parallelogram ABCD is 24 cm2. Then the area of △ABE is:
Answer» In a given figure, BE is a median of $△ A B D$ . If the area of parallelogram ABCD is $24 c m^{2}$ . Then the area of $△ A B E$ is:

8802.

In a given figure, BE is a median of △ABD. If the area of parallelogram ABCD is 24 cm2. Then the area of △ABE is:

Answer»

In a given figure, BE is a median of $△ A B D$ . If the area of parallelogram ABCD is $24 c m^{2}$ . Then the area of $△ A B E$ is:

Discussion

8803.	The interval in which the function x2x2+3 is concave up
Answer» The interval in which the function $\frac{x^{2}}{x^{2} + 3}$ is concave up

Discussion

8804.	Which of the following rational numbers is a non-terminating and repeating decimal?
Answer» Which of the following rational numbers is a non-terminating and repeating decimal?

Discussion

8805.	CHECK WHETHER 4 0R -4 ARE ZEROES OF THE POLYNOMIAL X - 4.
Answer» CHECK WHETHER 4 0R -4 ARE ZEROES OF THE POLYNOMIAL X - 4.

Discussion

8806.	In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ, respectively. If ∠POS = x, find ∠ROT.
Answer» In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of $∠$ POS and $∠$ SOQ, respectively. If $∠$ POS = $x$ , find $∠$ ROT.

8806.

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ, respectively. If ∠POS = x, find ∠ROT.

Answer»

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of $∠$ POS and $∠$ SOQ, respectively. If $∠$ POS = $x$ , find $∠$ ROT.

Discussion

8807.	Please let me know the mistake in this equation: -20=-20 16-36=25-45 42 -49=52-59 42 - 24 9/2=52 -25 9/2 (4-9/2)2 = (5-9/2)2 4=5
Answer» Please let me know the mistake in this equation: -20=-20 16-36=25-45 4²-49⁼5^2-59 4^{2 -}24 9/2=5²-25 9/2 (4-9/2)²= (5-9/2)² 4=5

8807.

Please let me know the mistake in this equation: -20=-20 16-36=25-45 42 -49=52-59 42 - 24 9/2=52 -25 9/2 (4-9/2)2 = (5-9/2)2 4=5

Answer»

Please let me know the mistake in this equation:

-20=-20

16-36=25-45

4²-4*9⁼5^2-5*9

4^{2 -}2*4* 9/2=5²-2*5* 9/2

(4-9/2)²= (5-9/2)²

4=5

Discussion

8808.	Solve the following simultaneous equations: 18x+7y=50;7x+18y=50
Answer» Solve the following simultaneous equations: $18 x + 7 y = 50; 7 x + 18 y = 50$

Discussion

8809.	The angles of a triangle are in the ratio 5:3:7. The triangle is
Answer» The angles of a triangle are in the ratio 5:3:7. The triangle is

Discussion

8810.	P is any point inside the circle. A line AB is shifted right to pass through P. Then, what is the line called?
Answer» P is any point inside the circle. A line AB is shifted right to pass through P. Then, what is the line called?

8810.

P is any point inside the circle. A line AB is shifted right to pass through P. Then, what is the line called?

Answer»

P is any point inside the circle. A line AB is shifted right to pass through P. Then, what is the line called?

Discussion

8811.	On Sunday 845 people went to the Zoo. On Monday only 169 people went. What is the percentage decrease in the people visiting the zoo on Monday?
Answer» On Sunday $845$ people went to the Zoo. On Monday only $169$ people went. What is the percentage decrease in the people visiting the zoo on Monday?

Discussion

8812.	Draw the graph of the equation y=3x. Does the point (3,1) lie on this line?
Answer» Draw the graph of the equation y=3x. Does the point (3,1) lie on this line?

Discussion

8813.	What are the factors of x2+5x−24?
Answer» What are the factors of $x^{2} + 5 x - 24$ ?

Discussion

8814.	Find the next two shapes in the given pattern:
Answer» Find the next two shapes in the given pattern:

Discussion

8815.	Find the value of k if the system has unique solution, no solution, infinite solution. x+2y=53x+ky=-15
Answer» Find the value of k if the system has unique solution, no solution, infinite solution. x+2y=5 3x+ky=-15

Discussion

8816.	Prove that sum of two complementary angles is 90∘.
Answer» Prove that sum of two complementary angles is $90^{\circ}$ .

Discussion

8817.	Assertion: In ΔABC, E and F are the mid-points of AC and AB respectively. The altitude AP at BC intersect and FE at Q. Then AQ = QP.Reason: Q is the mid - point of AP.Which of the following is correct?
Answer» Assertion: In $Δ A B C$ , E and F are the mid-points of AC and AB respectively. The altitude AP at BC intersect and FE at Q. Then AQ = QP. Reason: Q is the mid - point of AP. Which of the following is correct?

Discussion

8818.	When we evaluate using algebraic identity what will we get : [√(a-x)][√(a+x)]
Answer» When we evaluate using algebraic identity what will we get : [√(a-x)][√(a+x)]

8818.

When we evaluate using algebraic identity what will we get : [√(a-x)][√(a+x)]

Answer»

When we evaluate using algebraic identity what will we get :

[√(a-x)][√(a+x)]

Discussion

8819.	In the equation ax+by+c=0, where c is a constant, if a=b=0 then
Answer» In the equation $a x + b y + c = 0$ , where c is a constant, if $a = b = 0$ then

Discussion

8820.	The base of a prism is in the form of a right angled triangle. The triangle has base and height equal to 5 cm and 8 cm respectively. If the height of prism is 12 cm, the volume of prism will be :
Answer» The base of a prism is in the form of a right angled triangle. The triangle has base and height equal to 5 cm and 8 cm respectively. If the height of prism is 12 cm, the volume of prism will be :

Discussion

8821.	Show that (x − 2), (x + 3) and (x − 4) are factors of x3 − 3x2 − 10x + 24.
Answer» Show that (x − 2), (x + 3) and (x − 4) are factors of x³ − 3x² − 10x + 24.

Discussion

8822.	Question 10Diagonals AC and BD of a trapezium ABCD with AB \|\| DC intersect each other at O. Prove that ar (AOD) = ar (BOC).
Answer» Question 10 Diagonals AC and BD of a trapezium ABCD with AB \|\| DC intersect each other at O. Prove that ar (AOD) = ar (BOC).

Discussion

8823.	Question 6In the figure, ΔABC has sides AB = 7.5 cm, AC = 6.5 cm and BC = 7cm. On base BC a parallelogram DBCE of same area as that of ΔABC is constructed. Find the height DF of the parallelogram.
Answer» Question 6 In the figure, $Δ A B C$ has sides AB = 7.5 cm, AC = 6.5 cm and BC = 7cm. On base BC a parallelogram DBCE of same area as that of $Δ A B C$ is constructed. Find the height DF of the parallelogram.

Discussion

8824.	If the perimeter of a rectangle is 23 cm and its width is 4 cm, then find the length of the rectangle.
Answer» If the perimeter of a rectangle is 23 cm and its width is 4 cm, then find the length of the rectangle.

Discussion

8825.	Draw a histogram for the following data:Marks10−1515−2020−2525−3030−4040−6060−80Number of candidates798512128
Answer» Draw a histogram for the following data: $\begin{matrix} Marks & 10 - 15 & 15 - 20 & 20 - 25 & 25 - 30 & 30 - 40 & 40 - 60 & 60 - 80 Number of candidates & 7 & 9 & 8 & 5 & 12 & 12 & 8 \end{matrix}$

8825.

Draw a histogram for the following data:Marks10−1515−2020−2525−3030−4040−6060−80Number of candidates798512128

Answer»

Draw a histogram for the following data:

$\begin{matrix} Marks & 10 - 15 & 15 - 20 & 20 - 25 & 25 - 30 & 30 - 40 & 40 - 60 & 60 - 80 Number of candidates & 7 & 9 & 8 & 5 & 12 & 12 & 8 \end{matrix}$

Discussion

8826.	Find the value of k if (2, 3) lies on 2x=3y−k.
Answer» Find the value of k if (2, 3) lies on $2 x = 3 y - k$ .

Discussion

8827.	What is the only possible angle(in degrees) that can be created by using a straight ruler alone?
Answer» What is the only possible angle(in degrees) that can be created by using a straight ruler alone?

Discussion

8828.	Question 1Graphically, the pair of equations6x – 3y + 10 = 0x – y + 9 = 0Represents two lines which are(A) intersecting at exactly one point.(B) intersecting at exactly two points.(C) coincident.(D) parallel.
Answer» Question 1 Graphically, the pair of equations 6x – 3y + 10 = 0 x – y + 9 = 0 Represents two lines which are (A) intersecting at exactly one point. (B) intersecting at exactly two points. (C) coincident. (D) parallel.

Discussion

8829.	Question 07.2 .Suppose 2 kg of sugar contains 9×106 crystals. How many sugar crystals are there in 1.2 kg of sugar?
Answer» Question 07.2 . Suppose 2 kg of sugar contains $9 \times 10^{6}$ crystals. How many sugar crystals are there in 1.2 kg of sugar?

Discussion

8830.	The lines XY and MN intersect each other at point O as shown in the figure. If ∠POY=90∘ and a:b=2:3, then find the value of c in degrees. 126
Answer» The lines XY and MN intersect each other at point O as shown in the figure. If $∠ P O Y = 90^{\circ}$ and $a : b = 2 : 3$ , then find the value of $c$ in degrees. 126

Discussion

8831.	Question 48Two cylinders A and B are formed by folding a rectangular sheet of dimensions 20 cm×10 cm along its length and also along its breadth respectively. Curved surface area of A is ___ surface area of B.
Answer» Question 48 Two cylinders A and B are formed by folding a rectangular sheet of dimensions 20 cm×10 cm along its length and also along its breadth respectively. Curved surface area of A is ___ surface area of B.

8831.

Question 48Two cylinders A and B are formed by folding a rectangular sheet of dimensions 20 cm×10 cm along its length and also along its breadth respectively. Curved surface area of A is ___ surface area of B.

Answer»

Question 48

Two cylinders A and B are formed by folding a rectangular sheet of dimensions 20 cm×10 cm along its length and also along its breadth respectively. Curved surface area of A is ___ surface area of B.

Discussion

8832.	Give an example of a polynomial, which is:(i) Monomial of degree 1.(ii) Binomial of degree 20.(iii) Trinomial of degree 2.
Answer» Give an example of a polynomial, which is: (i) Monomial of degree 1. (ii) Binomial of degree 20. (iii) Trinomial of degree 2.

8832.

Give an example of a polynomial, which is:(i) Monomial of degree 1.(ii) Binomial of degree 20.(iii) Trinomial of degree 2.

Answer»

Give an example of a polynomial, which is:

(i) Monomial of degree 1.

(ii) Binomial of degree 20.

(iii) Trinomial of degree 2.

Discussion

8833.	Solve:57+13.
Answer» Solve: $\frac{5}{7} + \frac{1}{3}$ .

Discussion

8834.	The angles of a triangle are in the ratio of 1:2:3. what are the angles.
Answer» The angles of a triangle are in the ratio of 1:2:3. what are the angles.

Discussion

8835.	While reading a newspaper, Ted caught news of a football match between Brazil and Spain. The countries were represented with their respective flags. In Brazil’s flag, the length of any side of the parallelogram is 10.6 cm and the corresponding height is equal to 8.3 cm. If the area of the green region is 74.02 cm2 and length of the flag is twice the breadth, find the length of the flag.
Answer» While reading a newspaper, Ted caught news of a football match between Brazil and Spain. The countries were represented with their respective flags. In Brazil’s flag, the length of any side of the parallelogram is 10.6 cm and the corresponding height is equal to 8.3 cm. If the area of the green region is 74.02 $c m^{2}$ and length of the flag is twice the breadth, find the length of the flag.

8835.

While reading a newspaper, Ted caught news of a football match between Brazil and Spain. The countries were represented with their respective flags. In Brazil’s flag, the length of any side of the parallelogram is 10.6 cm and the corresponding height is equal to 8.3 cm. If the area of the green region is 74.02 cm2 and length of the flag is twice the breadth, find the length of the flag.

Answer»

While reading a newspaper, Ted caught news of a football match between Brazil and Spain. The countries were represented with their respective flags. In Brazil’s flag, the length of any side of the parallelogram is 10.6 cm and the corresponding height is equal to 8.3 cm. If the area of the green region is 74.02 $c m^{2}$ and length of the flag is twice the breadth, find the length of the flag.

Discussion

8836.	The average number of doughnuts consumed in New York increases from 45000 to 65000. If the number of people increase from 1200 to 1300, what will be the new average number of doughnuts consumed per person?
Answer» The average number of doughnuts consumed in New York increases from 45000 to 65000. If the number of people increase from 1200 to 1300, what will be the new average number of doughnuts consumed per person?

Discussion

8837.	If f(x) = 3x - 6, then find the value of f(3).
Answer» If f(x) = 3x - 6, then find the value of f(3).

Discussion

8838.	The area of a right triangle with base 5 m and altitude 12 m is
Answer» The area of a right triangle with base 5 m and altitude 12 m is

Discussion

8839.	Question 1 (iv)Write 313 in decimal form and say what kind of decimal expansion it has.
Answer» Question 1 (iv) Write $\frac{3}{13}$ in decimal form and say what kind of decimal expansion it has.

Discussion

8840.	Write two solutions of the form x = 0, y = a and x = b, y = 0 for each of the following equations:(i) 5x − 2y = 10(ii) −4x + 3y = 12(iii) 2x + 3y =24
Answer» Write two solutions of the form x = 0, y = a and x = b, y = 0 for each of the following equations: (i) 5x − 2y = 10 (ii) −4x + 3y = 12 (iii) 2x + 3y =24

Discussion

8841.	If an+2 = a2n−1, the value of n is _____ . ___
Answer» If $a^{n + 2}$ = $a^{2 n - 1}$ , the value of n is _____ . ___

Discussion

8842.	‘I make the netted sunbeam dance.’ What does ‘the netted sunbeam’ mean? How does it dance?
Answer» ‘I make the netted sunbeam dance.’ What does ‘the netted sunbeam’ mean? How does it dance?

Discussion

8843.	Fill in the blank in the given table X100250200501251000440Y2081040250050__
Answer» Fill in the blank in the given table $\begin{matrix} X & 100 & 250 & 200 & 50 & 125 & 1000 & 4 & 40 Y & 20 & 8 & 10 & 40 & 2 & 500 & 50 \end{matrix}$ __

8843.

Fill in the blank in the given table X100250200501251000440Y2081040250050__

Answer»

Fill in the blank in the given table

$\begin{matrix} X & 100 & 250 & 200 & 50 & 125 & 1000 & 4 & 40 Y & 20 & 8 & 10 & 40 & 2 & 500 & 50 \end{matrix}$

__

Discussion

8844.	The opposite angles of a parallelogram are (3x−2)∘ and (x+48)∘. What is the value of x?25
Answer» The opposite angles of a parallelogram are $(3 x - 2)^{\circ}$ and $(x + 48)^{\circ}$ . What is the value of $x$ ? 25

Discussion

8845.	In ΔABC, if ∠A=x, ∠B=y and ∠C=zsuch that x=4y3 and y=3z8, then ∠B is equal to
Answer» $I n Δ A B C, i f ∠ A = x, ∠ B = y a n d ∠ C = z$ $s u c h t h a t x = \frac{4 y}{3} a n d y = \frac{3 z}{8}, t h e n ∠ B i s e q u a l t o$

Discussion

8846.	A square satisfies all the properties of a
Answer» A square satisfies all the properties of a

Discussion

8847.	If log2(4x2−x−1)log2(x2+1)>1 then x lies in the interval
Answer» If $\frac{l o g_{2} (4 x^{2} - x - 1)}{l o g_{2} (x^{2} + 1)} > 1$ then x lies in the interval

Discussion

8848.	With reference to the figure below, consider the two statements: Statement 1: The points A, B, and C will lie on a straight line if x + y = 180∘. Statement 2: The angle on a straight line is 180∘.
Answer» With reference to the figure below, consider the two statements: Statement 1: The points A, B, and C will lie on a straight line if x + y = $180^{\circ}$ . Statement 2: The angle on a straight line is $180^{\circ}$ .

8848.

With reference to the figure below, consider the two statements: Statement 1: The points A, B, and C will lie on a straight line if x + y = 180∘. Statement 2: The angle on a straight line is 180∘.

Answer»

With reference to the figure below, consider the two statements:

Statement 1: The points A, B, and C will lie on a straight line if x + y = $180^{\circ}$ .

Statement 2: The angle on a straight line is $180^{\circ}$ .

Discussion

8849.	If 2 and 0 are the zeros of the polynomial fx=2x3-5x2+ax+b then find the values of a and b.Hint f(2) = 0 and f(0) = 0.
Answer» If 2 and 0 are the zeros of the polynomial $f (x) = 2 x^{3} - 5 x^{2} + a x + b$ then find the values of a and b. Hint f(2) = 0 and f(0) = 0.

Discussion

8850.	A straight line is drawn cutting two equal circles and passing through the midpoint M of the line joining their centres O and O’. Prove that chords AB and CD, which are intercepted by the two circles are equal.
Answer» A straight line is drawn cutting two equal circles and passing through the midpoint M of the line joining their centres O and O’. Prove that chords AB and CD, which are intercepted by the two circles are equal.

Discussion

Explore topic-wise InterviewSolutions in .

Construct a triangle with sides 5 cm , 5.5 cm and 6.5 cm. Construct another triangle whose sides are 35 times the corresponding sides of the first triangle.

In a given figure, BE is a median of △ABD. If the area of parallelogram ABCD is 24 cm2. Then the area of △ABE is:

The interval in which the function x2x2+3 is concave up

Which of the following rational numbers is a non-terminating and repeating decimal?

CHECK WHETHER 4 0R -4 ARE ZEROES OF THE POLYNOMIAL X - 4.

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ, respectively. If ∠POS = x, find ∠ROT.

Please let me know the mistake in this equation: -20=-20 16-36=25-45 42 ​​​-4*9=52-5*9 42 - 2*4* 9/2=52 -2*5* 9/2 (4-9/2)2 = (5-9/2)2 4=5

Solve the following simultaneous equations: 18x+7y=50;7x+18y=50

The angles of a triangle are in the ratio 5:3:7. The triangle is

P is any point inside the circle. A line AB is shifted right to pass through P. Then, what is the line called?

On Sunday 845 people went to the Zoo. On Monday only 169 people went. What is the percentage decrease in the people visiting the zoo on Monday?

Draw the graph of the equation y=3x. Does the point (3,1) lie on this line?

What are the factors of x2+5x−24?

Find the next two shapes in the given pattern:

Find the value of k if the system has unique solution, no solution, infinite solution. x+2y=53x+ky=-15

Prove that sum of two complementary angles is 90∘.

Assertion: In ΔABC, E and F are the mid-points of AC and AB respectively. The altitude AP at BC intersect and FE at Q. Then AQ = QP.Reason: Q is the mid - point of AP.Which of the following is correct?

When we evaluate using algebraic identity what will we get : [√(a-x)][√(a+x)]

In the equation ax+by+c=0, where c is a constant, if a=b=0 then

The base of a prism is in the form of a right angled triangle. The triangle has base and height equal to 5 cm and 8 cm respectively. If the height of prism is 12 cm, the volume of prism will be :

Show that (x − 2), (x + 3) and (x − 4) are factors of x3 − 3x2 − 10x + 24.

Question 10Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Prove that ar (AOD) = ar (BOC).

Question 6In the figure, ΔABC has sides AB = 7.5 cm, AC = 6.5 cm and BC = 7cm. On base BC a parallelogram DBCE of same area as that of ΔABC is constructed. Find the height DF of the parallelogram.

If the perimeter of a rectangle is 23 cm and its width is 4 cm, then find the length of the rectangle.

Draw a histogram for the following data:Marks10−1515−2020−2525−3030−4040−6060−80Number of candidates798512128

Find the value of k if (2, 3) lies on 2x=3y−k.

What is the only possible angle(in degrees) that can be created by using a straight ruler alone?

Question 1Graphically, the pair of equations6x – 3y + 10 = 0x – y + 9 = 0Represents two lines which are(A) intersecting at exactly one point.(B) intersecting at exactly two points.(C) coincident.(D) parallel.

Question 07.2 .Suppose 2 kg of sugar contains 9×106 crystals. How many sugar crystals are there in 1.2 kg of sugar?

The lines XY and MN intersect each other at point O as shown in the figure. If ∠POY=90∘ and a:b=2:3, then find the value of c in degrees. 126

Question 48Two cylinders A and B are formed by folding a rectangular sheet of dimensions 20 cm×10 cm along its length and also along its breadth respectively. Curved surface area of A is ___ surface area of B.

Give an example of a polynomial, which is:(i) Monomial of degree 1.(ii) Binomial of degree 20.(iii) Trinomial of degree 2.

Solve:57+13.

The angles of a triangle are in the ratio of 1:2:3. what are the angles.

The average number of doughnuts consumed in New York increases from 45000 to 65000. If the number of people increase from 1200 to 1300, what will be the new average number of doughnuts consumed per person?

If f(x) = 3x - 6, then find the value of f(3).

The area of a right triangle with base 5 m and altitude 12 m is

Question 1 (iv)Write 313 in decimal form and say what kind of decimal expansion it has.

Write two solutions of the form x = 0, y = a and x = b, y = 0 for each of the following equations:(i) 5x − 2y = 10(ii) −4x + 3y = 12(iii) 2x + 3y =24

If an+2 = a2n−1, the value of n is _____ . ___

‘I make the netted sunbeam dance.’ What does ‘the netted sunbeam’ mean? How does it dance?

Fill in the blank in the given table X100250200501251000440Y2081040250050__

The opposite angles of a parallelogram are (3x−2)∘ and (x+48)∘. What is the value of x?25

In ΔABC, if ∠A=x, ∠B=y and ∠C=zsuch that x=4y3 and y=3z8, then ∠B is equal to

A square satisfies all the properties of a

If log2(4x2−x−1)log2(x2+1)&gt;1 then x lies in the interval

With reference to the figure below, consider the two statements: Statement 1: The points A, B, and C will lie on a straight line if x + y = 180∘. Statement 2: The angle on a straight line is 180∘.

If 2 and 0 are the zeros of the polynomial fx=2x3-5x2+ax+b then find the values of a and b.Hint f(2) = 0 and f(0) = 0.

A straight line is drawn cutting two equal circles and passing through the midpoint M of the line joining their centres O and O’. Prove that chords AB and CD, which are intercepted by the two circles are equal.

Please let me know the mistake in this equation: -20=-20 16-36=25-45 42 -49=52-59 42 - 24 9/2=52 -25 9/2 (4-9/2)2 = (5-9/2)2 4=5

If an+2 = a2n−1, the value of n is ___ . _

If log2(4x2−x−1)log2(x2+1)>1 then x lies in the interval