25365 + Interview Questions in Mathematics Page 252 InterviewSolution

12551.	The product of two irrational numbers is a/an
Answer» The product of two irrational numbers is a/an

Discussion

12552.	34.ψ_{420} represents A) 4p_z B)4d_z^2 C)4s D) 5p_x
Answer» 34.ψ_{420} represents A) 4p_z B)4d_z^2 C)4s D) 5p_x

Discussion

12553.	123. Factorise the following a). 0.49a - 0.25b
Answer» 123. Factorise the following a). 0.49a - 0.25b

Discussion

12554.	39. The value of a machine depreciated by 10% per year during the first 2 years and and 15% for year during the third year Express the total depreciation of the machine as percent during 3 years
Answer» 39. The value of a machine depreciated by 10% per year during the first 2 years and and 15% for year during the third year Express the total depreciation of the machine as percent during 3 years

Discussion

12555.	Which is the property that is there in the set of all rationals but which is not in the set of all integers?
Answer» Which is the property that is there in the set of all rationals but which is not in the set of all integers?

Discussion

12556.	In the given figure, if ∠ ABC = ∠ ADC and ∠ BAC = ∠ DAC, then by which postulate is △ABC≅△ADC ?
Answer» In the given figure, if $∠$ ABC = $∠$ ADC and $∠$ BAC = $∠$ DAC, then by which postulate is $△ A B C ≅ △ A D C$ ?

12556.

In the given figure, if ∠ ABC = ∠ ADC and ∠ BAC = ∠ DAC, then by which postulate is △ABC≅△ADC ?

Answer»

In the given figure, if $∠$ ABC = $∠$ ADC and $∠$ BAC = $∠$ DAC, then by which postulate is $△ A B C ≅ △ A D C$ ?

Discussion

12557.	36. ABCD is a square of side 4 cm. If E is a point in the interior of the square such that triangle CED is equilateral, then area of triangle ACE is ?
Answer» 36. ABCD is a square of side 4 cm. If E is a point in the interior of the square such that triangle CED is equilateral, then area of triangle ACE is ?

Discussion

12558.	O is the orthocentre of triangle PQR formed by joining the mid points of the sides of triangle ABC O is ___________ triangle ABC.
Answer» O is the orthocentre of triangle PQR formed by joining the mid points of the sides of triangle ABC O is ___________ triangle ABC.

Discussion

12559.	Using an identity, evaluate 166×94.
Answer» $Using an identity, evaluate 166 \times 94.$

Discussion

12560.	Construct a triangle ABC in which AB = 6.5 cm, ∠A = 45° and ∠B = 60°.
Answer» Construct a triangle ABC in which AB = 6.5 cm, ∠A = 45° and ∠B = 60°.

Discussion

12561.	Plot the line graph for this data. Which of the following statement is true?Sarah brought a new car in 2001 for ₹8,00,000. The value of her car changed each year as shown in the table below. (Values of Sarah′s car)YearValue2001₹8,00,0002002₹7,50,0002003₹6,60,0002004₹5,80,0002005₹4,80,0002006₹3,30,0002007₹1,90,000
Answer» Plot the line graph for this data. Which of the following statement is true? Sarah brought a new car in 2001 for ₹8,00,000. The value of her car changed each year as shown in the table below. $\begin{matrix} (V a l u e s o f S a r a h^{'} s c a r) Year & Value 2001 & ₹ 8, 00, 000 2002 & ₹ 7, 50, 000 2003 & ₹ 6, 60, 000 2004 & ₹ 5, 80, 000 2005 & ₹ 4, 80, 000 2006 & ₹ 3, 30, 000 2007 & ₹ 1, 90, 000 \end{matrix}$

Discussion

12562.	Find the smallest square number which can be divisible by 4,12 and,16.
Answer» Find the smallest square number which can be divisible by 4,12 and,16.

Discussion

12563.	50 (3ab-2ab)2
Answer» 50 (3ab-2ab)2

Discussion

12564.	Puja decides to cut a circular disc into 4 equal parts. What is the perimeter of each part? (Given that the radius of the disc = 7cm, π = 227)
Answer» Puja decides to cut a circular disc into 4 equal parts. What is the perimeter of each part? (Given that the radius of the disc = 7cm, $π$ = $\frac{22}{7}$ )

Discussion

12565.	2500m−3 = 2.5× ___ cm−3
Answer» $2500 m^{- 3}$ = $2.5 \times$ ___ $c m^{- 3}$

Discussion

12566.	In Figure, ABC is a triangle in which ∠ABC>90∘ and AD⊥CB produced.Prove that AC2=AB2+BC2+2BC.DB
Answer» In Figure, $A B C$ is a triangle in which $∠ A B C > 90^{\circ}$ and $A D ⊥ C B$ produced. Prove that $A C^{2} = A B^{2} + B C^{2} + 2 B C . D B$

Discussion

12567.	Question 153(i)In a repeater machine with 0 as an exponent, the base machine is applied 0 times.What do these machines do to a piece of chalk?
Answer» Question 153(i) In a repeater machine with 0 as an exponent, the base machine is applied 0 times. What do these machines do to a piece of chalk?

12567.

Question 153(i)In a repeater machine with 0 as an exponent, the base machine is applied 0 times.What do these machines do to a piece of chalk?

Answer»

Question 153(i)

In a repeater machine with 0 as an exponent, the base machine is applied 0 times.

What do these machines do to a piece of chalk?

Discussion

12568.	In a trapezium ABCD, AB∥DC , BD⊥AD, AC⊥BC, If AD=15,BC=15 and AB=25. Find Ar(▢ABCD)
Answer» In a trapezium $A B C D$ , $A B ∥ D C$ , $B D ⊥ A D, A C ⊥ B C$ , If $A D = 15, B C = 15$ and $A B = 25$ . Find $A r (▢ A B C D)$

Discussion

12569.	ABCD is a parallelogram. What kind of quadrilateral will it be if, AC = BD but not perpendicular to BD ?
Answer» ABCD is a parallelogram. What kind of quadrilateral will it be if, AC = BD but not perpendicular to BD ?

12569.

ABCD is a parallelogram. What kind of quadrilateral will it be if, AC = BD but not perpendicular to BD ?

Answer»

ABCD is a parallelogram. What kind of quadrilateral will it be if,

AC = BD but not perpendicular to BD ?

Discussion

12570.	Solve 2x-1x-1>2
Answer» Solve $\|\frac{2 x - 1}{x - 1}\| > 2$

Discussion

12571.	In the given figure, AB \|\| DE. ∠A = 43∘ and ∠BDE = 57∘. The value of ∠x is ________.
Answer» In the given figure, AB \|\| DE. $∠$ A = 43 $^{\circ}$ and $∠$ BDE = 57 $^{\circ}$ . The value of $∠$ x is ________.

12571.

In the given figure, AB || DE. ∠A = 43∘ and ∠BDE = 57∘. The value of ∠x is ________.

Answer»

In the given figure, AB || DE. $∠$ A = 43 $^{\circ}$ and $∠$ BDE = 57 $^{\circ}$ . The value of $∠$ x is ________.

Discussion

12572.	A man, after a tour, finds that he had spent per day as many rupees as the number of days he had been on tour. How long did his tour last, if he had spent in all 1,296?
Answer» A man, after a tour, finds that he had spent per day as many rupees as the number of days he had been on tour. How long did his tour last, if he had spent in all 1,296?

Discussion

12573.	Question 8A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm.If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients? [Assume π=227]
Answer» Question 8 A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm.If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients? $[A s s u m e π = \frac{22}{7}]$

Discussion

12574.	Using divisibility test, determine which of the following numbers are divisible by 4?(a) 4096(b) 21084(c) 31795014
Answer» Using divisibility test, determine which of the following numbers are divisible by 4? (a) 4096 (b) 21084 (c) 31795014

12574.

Using divisibility test, determine which of the following numbers are divisible by 4?(a) 4096(b) 21084(c) 31795014

Answer»

Using divisibility test, determine which of the following numbers are divisible by 4?

(a) 4096

(b) 21084

(c) 31795014

Discussion

12575.	What is the value of 3√8 + 13√8 ?
Answer» What is the value of $\sqrt[3]{8}$ + $\frac{1}{\sqrt[3]{8}}$ ?

Discussion

12576.	Question 2(ii)Find the product:(x+7y)(7x-y)
Answer» Question 2(ii) Find the product: (x+7y)(7x-y)

Discussion

12577.	Recalling your earlier knowledge, represent 555 in base 5.
Answer» Recalling your earlier knowledge, represent 555 in base 5.

Discussion

12578.	Assertion: We find midpoints of a class interval with the following formula. upper class limit+lower class limit2 Reason: To draw frequency polygons independently without drawing histogram it is required to have the class mark. Which of the following is correct?
Answer» Assertion: We find midpoints of a class interval with the following formula. $\frac{u p p e r c l a s s l i m i t + l o w e r c l a s s l i m i t}{2}$ Reason: To draw frequency polygons independently without drawing histogram it is required to have the class mark. Which of the following is correct?

Discussion

12579.	The simple interest on a certain sum of money for 3 years at 5% per annum is ₹ 6000. Find the amount due and the sum of money.
Answer» The simple interest on a certain sum of money for 3 years at 5% per annum is ₹ 6000. Find the amount due and the sum of money.

Discussion

12580.	Select the appropriate option for the given figure, if AD and BC are both perpendicular to AB, and BD and AC are equal in length.
Answer» Select the appropriate option for the given figure, if $A D and B C$ are both perpendicular to $A B$ , and $B D and A C$ are equal in length.

Discussion

12581.	{30C_0\cdot^{20}C_{10}+^{31}C_1\cdot^{19}C_{10}+^{32}C_2\cdot18C_{10}+.}{+^{40}C_{10}\cdot^{10}C_{10} is equal to
Answer» {30C_0\cdot^{20}C_{10}+^{31}C_1\cdot^{19}C_{10}+^{32}C_2\cdot18C_{10}+.}{+^{40}C_{10}\cdot^{10}C_{10} is equal to

Discussion

12582.	(a) After rotating through an angle of 120 degrees through its centre of symmetry the figure looks exactly the same as its original. At what other angles will it happen for the figure? Describe with an example. (b) What is the order of rotational symmetry? (c) What is the order of rotational symmetry of a semi-circle? [4 MARKS]
Answer» (a) After rotating through an angle of 120 degrees through its centre of symmetry the figure looks exactly the same as its original. At what other angles will it happen for the figure? Describe with an example. (b) What is the order of rotational symmetry? (c) What is the order of rotational symmetry of a semi-circle? [4 MARKS]

Discussion

12583.	The probability of a sure event is:
Answer» The probability of a sure event is:

Discussion

12584.	Question 92Solve the following question:Using prime factorization, find which of the following are perfect cubes.a) 128b) 343c) 729d) 1331
Answer» Question 92 Solve the following question: Using prime factorization, find which of the following are perfect cubes. a) 128 b) 343 c) 729 d) 1331

12584.

Question 92Solve the following question:Using prime factorization, find which of the following are perfect cubes.a) 128b) 343c) 729d) 1331

Answer»

Question 92

Solve the following question:

Using prime factorization, find which of the following are perfect cubes.

a) 128

b) 343

c) 729

d) 1331

Discussion

12585.	What will be the reflection image for the following figure, if blue line is the mirror line.
Answer» What will be the reflection image for the following figure, if blue line is the mirror line.

Discussion

12586.	Fine the smallest number among −23,−96,−52 and −34.
Answer» Fine the smallest number among $- \frac{2}{3}$ , $- \frac{9}{6}$ , $- \frac{5}{2}$ and $- \frac{3}{4}$ .

Discussion

12587.	Solve the equation 3x+1=65x−1.
Answer» Solve the equation $\frac{3}{x + 1} = \frac{6}{5 x - 1}$ .

Discussion

12588.	Fin the square root of 96.04
Answer» Fin the square root of 96.04

Discussion

12589.	Write two sets A and B such that A⊆Band B⊆A. State the relationship between sets A and B.
Answer» Write two sets A and B such that $A \subseteq B$ and $B \subseteq A$ . State the relationship between sets A and B.

Discussion

12590.	Rashi is going to plant 54 oak trees and 27 pine trees. Rashi would like to plant the trees in all rows that have the same number of trees and are made up of only one type of tree. What is the greatest number of trees Rashi can have in each row? ___
Answer» Rashi is going to plant 54 oak trees and 27 pine trees. Rashi would like to plant the trees in all rows that have the same number of trees and are made up of only one type of tree. What is the greatest number of trees Rashi can have in each row? ___

Discussion

12591.	Find the rate percent per annum, if Rs. 2000 amount to Rs. 2315.25, in an year and a half, interest being compounded six monthly.
Answer» Find the rate percent per annum, if Rs. 2000 amount to Rs. 2315.25, in an year and a half, interest being compounded six monthly.

Discussion

12592.	If x + y + z = 1, xy + yz + zx = -1 and xyz = -1, find the value of x3+y3+z3.
Answer» If x + y + z = 1, xy + yz + zx = -1 and xyz = -1, find the value of $x^{3} + y^{3} + z^{3}$ .

Discussion

12593.	Find the area of a rhombus one side of which measures 20 cm and one of whose diagonals is 24 cm.
Answer» Find the area of a rhombus one side of which measures 20 cm and one of whose diagonals is 24 cm.

Discussion

12594.	Find the area of a square whose perimeter is 96 cm.
Answer» Find the area of a square whose perimeter is 96 cm.

Discussion

12595.	Find graphically the coordinates of the vertices of a triangle whose sides have 3 equations; x 2y = 4, x = 4 & x y = 3.
Answer» Find graphically the coordinates of the vertices of a triangle whose sides have 3 equations; x 2y = 4, x = 4 & x y = 3.

Discussion

12596.	Question 2A geometric representation showing the relationship between a whole and its parts, is a:(a) Pie chart(b) Histogram(c) Bar graph(d) Pictograph
Answer» Question 2 A geometric representation showing the relationship between a whole and its parts, is a: (a) Pie chart (b) Histogram (c) Bar graph (d) Pictograph

12596.

Question 2A geometric representation showing the relationship between a whole and its parts, is a:(a) Pie chart(b) Histogram(c) Bar graph(d) Pictograph

Answer»

Question 2

A geometric representation showing the relationship between a whole and its parts, is a:

(a) Pie chart

(b) Histogram

(c) Bar graph

(d) Pictograph

Discussion

12597.	Find each of the following products: (3m−4n)×(2m−3n)
Answer» Find each of the following products: $(3 m - 4 n) \times (2 m - 3 n)$

12597.

Find each of the following products: (3m−4n)×(2m−3n)

Answer»

Find each of the following products:

$(3 m - 4 n) \times (2 m - 3 n)$

Discussion

12598.	A positive number is 5 times another number if 21 is added to both the numbers then the one number becomes twice the other new number what are the numbers
Answer» A positive number is 5 times another number if 21 is added to both the numbers then the one number becomes twice the other new number what are the numbers

Discussion

12599.	(1 1 1 1 1 1 1 1)2 equals to:
Answer» $($ 1 1 1 1 1 1 1 1 $)^{2}$ equals to:

Discussion

12600.	A principal amount of $8,000 was partly invested in two schemes with an annual interest rate of 4% and 5%, respectively. At the end of the year, the total interest is $350. Find the ratio of investment.
Answer» A principal amount of $$ 8, 000$ was partly invested in two schemes with an annual interest rate of $4 %$ and $5 %,$ respectively. At the end of the year, the total interest is $$ 350.$ Find the ratio of investment.

Discussion

Explore topic-wise InterviewSolutions in .

The product of two irrational numbers is a/an

34.ψ_{420} represents A) 4p_z B)4d_z^2 C)4s D) 5p_x

123. Factorise the following a). 0.49a - 0.25b

39. The value of a machine depreciated by 10% per year during the first 2 years and and 15% for year during the third year Express the total depreciation of the machine as percent during 3 years

Which is the property that is there in the set of all rationals but which is not in the set of all integers?

In the given figure, if ∠ ABC = ∠ ADC and ∠ BAC = ∠ DAC, then by which postulate is △ABC≅△ADC ?

36. ABCD is a square of side 4 cm. If E is a point in the interior of the square such that triangle CED is equilateral, then area of triangle ACE is ?

O is the orthocentre of triangle PQR formed by joining the mid points of the sides of triangle ABC O is ___________ triangle ABC.

Using an identity, evaluate 166×94.

Construct a triangle ABC in which AB = 6.5 cm, ∠A = 45° and ∠B = 60°.

Find the smallest square number which can be divisible by 4,12 and,16.

50 (3ab-2ab)2

Puja decides to cut a circular disc into 4 equal parts. What is the perimeter of each part? (Given that the radius of the disc = 7cm, π​ = 227)

2500m−3 = 2.5× ___ cm−3

In Figure, ABC is a triangle in which ∠ABC&gt;90∘ and AD⊥CB produced.Prove that AC2=AB2+BC2+2BC.DB

Question 153(i)In a repeater machine with 0 as an exponent, the base machine is applied 0 times.What do these machines do to a piece of chalk?

In a trapezium ABCD, AB∥DC , BD⊥AD, AC⊥BC, If AD=15,BC=15 and AB=25. Find Ar(▢ABCD)

ABCD is a parallelogram. What kind of quadrilateral will it be if, AC = BD but not perpendicular to BD ?

Solve 2x-1x-1&gt;2

In the given figure, AB || DE. ∠A = 43∘ and ∠BDE = 57∘. The value of ∠x is ________.

A man, after a tour, finds that he had spent per day as many rupees as the number of days he had been on tour. How long did his tour last, if he had spent in all 1,296?

Question 8A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm.If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients? [Assume π=227]

Using divisibility test, determine which of the following numbers are divisible by 4?(a) 4096(b) 21084(c) 31795014

What is the value of 3√8 + 13√8 ?

Question 2(ii)Find the product:(x+7y)(7x-y)

Recalling your earlier knowledge, represent 555 in base 5.

Assertion: We find midpoints of a class interval with the following formula. upper class limit+lower class limit2 Reason: To draw frequency polygons independently without drawing histogram it is required to have the class mark. Which of the following is correct?

The simple interest on a certain sum of money for 3 years at 5% per annum is ₹ 6000. Find the amount due and the sum of money.

Select the appropriate option for the given figure, if AD and BC are both perpendicular to AB, and BD and AC are equal in length.

{30C_0\cdot^{20}C_{10}+^{31}C_1\cdot^{19}C_{10}+^{32}C_2\cdot18C_{10}+.}{+^{40}C_{10}\cdot^{10}C_{10} is equal to

The probability of a sure event is:

Question 92Solve the following question:Using prime factorization, find which of the following are perfect cubes.a) 128b) 343c) 729d) 1331

What will be the reflection image for the following figure, if blue line is the mirror line.

Fine the smallest number among −23,−96,−52 and −34.

Solve the equation 3x+1=65x−1.

Fin the square root of 96.04

Write two sets A and B such that A⊆Band B⊆A. State the relationship between sets A and B.

Rashi is going to plant 54 oak trees and 27 pine trees. Rashi would like to plant the trees in all rows that have the same number of trees and are made up of only one type of tree. What is the greatest number of trees Rashi can have in each row? ___

Find the rate percent per annum, if Rs. 2000 amount to Rs. 2315.25, in an year and a half, interest being compounded six monthly.

If x + y + z = 1, xy + yz + zx = -1 and xyz = -1, find the value of x3+y3+z3.

Find the area of a rhombus one side of which measures 20 cm and one of whose diagonals is 24 cm.

Find the area of a square whose perimeter is 96 cm.

Find graphically the coordinates of the vertices of a triangle whose sides have 3 equations; x 2y = 4, x = 4 & x y = 3.

Question 2A geometric representation showing the relationship between a whole and its parts, is a:(a) Pie chart(b) Histogram(c) Bar graph(d) Pictograph

Find each of the following products: (3m−4n)×(2m−3n)

A positive number is 5 times another number if 21 is added to both the numbers then the one number becomes twice the other new number what are the numbers

(1 1 1 1 1 1 1 1)2 equals to:

A principal amount of $8,000 was partly invested in two schemes with an annual interest rate of 4% and 5%, respectively. At the end of the year, the total interest is $350. Find the ratio of investment.

Puja decides to cut a circular disc into 4 equal parts. What is the perimeter of each part? (Given that the radius of the disc = 7cm, π = 227)

In Figure, ABC is a triangle in which ∠ABC>90∘ and AD⊥CB produced.Prove that AC2=AB2+BC2+2BC.DB

Solve 2x-1x-1>2