25365 + Interview Questions in Mathematics Page 99 InterviewSolution

4901.	Which is greater 100^2 or 2^100
Answer» Which is greater 100^2 or 2^100

Discussion

4902.	Find the product of 613 and multiplicative inverse of −14.
Answer» Find the product of $\frac{6}{13}$ and multiplicative inverse of $\frac{- 1}{4}$ .

Discussion

4903.	Which ofthe following will not represent zero?(a) 1 +0 (b) 0 × 0 (c) (d)
Answer» Which of the following will not represent zero? (a) 1 + 0 (b) 0 × 0 (c) (d)

4903.

Which ofthe following will not represent zero?(a) 1 +0 (b) 0 × 0 (c) (d)

Answer»

Which of
the following will not represent zero?

(a) 1 +
0 (b) 0 × 0

(c) (d)

Discussion

4904.	Find the volume of a cube whose surface area is 486 cm2.
Answer» Find the volume of a cube whose surface area is 486 cm².

Discussion

4905.	If t(n) represents the nth term of an AP, then which of the following is always true?
Answer» If t(n) represents the $n^{t h}$ term of an AP, then which of the following is always true?

Discussion

4906.	FactoriseX raise to power 3 minus 3x raise to power 2 minus 9x minus 5
Answer» Factorise X raise to power 3 minus 3x raise to power 2 minus 9x minus 5

Discussion

4907.	Rationalise the denominators of the following:(i) (ii) (iii) (iv)
Answer» Rationalise the denominators of the following: (i) (ii) (iii) (iv)

4907.

Rationalise the denominators of the following:(i) (ii) (iii) (iv)

Answer»

Rationalise the denominators of the following:

(i) (ii)

(iii) (iv)

Discussion

4908.	Question 7The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 32. Find the rational number.
Answer» Question 7 The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is $\frac{3}{2}$ . Find the rational number.

Discussion

4909.	The area of a rectangular field is 11.025 square metre. If its breadth measures 4.5 metre, then calculate its length.
Answer» The area of a rectangular field is 11.025 square metre. If its breadth measures 4.5 metre, then calculate its length.

Discussion

4910.	Question 4(ii)Factorisep4−81
Answer» Question 4(ii) Factorise $p^{4} - 81$

Discussion

4911.	For point symmetry, which of the options hold true?
Answer» For point symmetry, which of the options hold true?

Discussion

4912.	Find the square root of 17.64
Answer» Find the square root of 17.64

Discussion

4913.	Factories 6xy-4y+6-9x
Answer» Factories 6xy-4y+6-9x

Discussion

4914.	the number(49^2-4)(49^3-49)is divisible by 5!6!7!9!
Answer» the number(49^2-4)(49^3-49)is divisible by 5! 6! 7! 9!

Discussion

4915.	The ratio of copper and zinc in an alloy is 5 : 3. If the weight of copper in the alloy is 30.5 g, find the weight of zinc in it.
Answer» The ratio of copper and zinc in an alloy is 5 : 3. If the weight of copper in the alloy is 30.5 g, find the weight of zinc in it.

Discussion

4916.	Question 10(ii)Find and correct the errors in the following mathematical statement. Substituting x=−3 inx2−5x+4 gives (−3)2−5(−3)=9−15+4=−2
Answer» Question 10(ii) Find and correct the errors in the following mathematical statement. Substituting $x = - 3$ in $x^{2} - 5 x + 4 g i v e s (- 3)^{2} - 5 (- 3) = 9 - 15 + 4 = - 2$

Discussion

4917.	The value of nCn and nC0 have the ratio of
Answer» The value of $^{n} C_{n}$ and $^{n} C_{0}$ have the ratio of

Discussion

4918.	Q. 5 रू. की 6 टॉफी की दर से कुछ टॉफियाँ खरीदी गई और 6 रू. की 5 टॉफी की दर से बेची गई। लाभ % होगा?
Answer» Q. 5 रू. की 6 टॉफी की दर से कुछ टॉफियाँ खरीदी गई और 6 रू. की 5 टॉफी की दर से बेची गई। लाभ $%$ होगा?

Discussion

4919.	22.If the lenght of a pendulum is increased by 2% then,in a day the pendulum loses gain how many seconds?
Answer» 22.If the lenght of a pendulum is increased by 2% then,in a day the pendulum loses gain how many seconds?

Discussion

4920.	A number is called a palindrome if it reads the same backward as well as forward. For example 285582 is a six digit palindrome. The number of six digit palindromes, which are divisible by 55, is
Answer» A number is called a palindrome if it reads the same backward as well as forward. For example $285582$ is a six digit palindrome. The number of six digit palindromes, which are divisible by $55$ , is

Discussion

4921.	Which of the following is not a property of Rhombus?
Answer» Which of the following is not a property of Rhombus?

Discussion

4922.	Match the given polynomials, p(x) to their respective values at x=5 i.e., p(5).
Answer» Match the given polynomials, $p (x)$ to their respective values at $x = 5$ i.e., $p (5)$ .

Discussion

4923.	Question 63 In the following question, state whether the statement is True (T) or False (F): The product of one negative and one positive term is a negative term.
Answer» Question 63 In the following question, state whether the statement is True (T) or False (F): The product of one negative and one positive term is a negative term.

4923.

Question 63 In the following question, state whether the statement is True (T) or False (F): The product of one negative and one positive term is a negative term.

Answer»

Question 63

In the following question, state whether the statement is True (T) or False (F):

The product of one negative and one positive term is a negative term.

Discussion

4924.	According to a survey conducted in a city, 25% were doctors, 30% engineers, 15% businessmen and rest were illiterates. What is the number of illiterates if the total population of the city is 5000?
Answer» According to a survey conducted in a city, 25% were doctors, 30% engineers, 15% businessmen and rest were illiterates. What is the number of illiterates if the total population of the city is 5000?

Discussion

4925.	5xy+25y+3x+15 is factorised as
Answer» $5 x y + 25 y + 3 x + 15$ is factorised as

Discussion

4926.	AB and BC are the sides of a regular pentagon. CD and DE are the sides of a regular hexagon. If OB and OD are the angle bisectors of ∠ABC and ∠CDE, and ∠BOD=126∘, then find the measure of ∠BCD.
Answer» $A B a n d B C$ are the sides of a regular pentagon. $C D a n d D E$ are the sides of a regular hexagon. If $O B a n d O D$ are the angle bisectors of $∠ A B C a n d ∠ C D E,$ $a n d ∠ B O D = 126^{\circ},$ then find the measure of $∠ B C D$ .

Discussion

4927.	Write the equation of the line parallel to the X-axis at a distance of 5 units from it and below the X-axis.
Answer» Write the equation of the line parallel to the X-axis at a distance of 5 units from it and below the X-axis.

Discussion

4928.

Consider the following data with reference to elementary deterministic economic order quantity model Annual demand of an item 100000 Unit price of the item (in Rs.) 10 Inventory carrying cost per unit per year (in Rs.) 1.5 Unit order cost (in Rs.) 30 The total number of economic orders per year to meet the annual demand is .50

Answer» Consider the following data with reference to elementary deterministic economic order quantity model

Annual demand of an item	100000
Unit price of the item (in Rs.)	10
Inventory carrying cost per unit per year (in Rs.)	1.5
Unit order cost (in Rs.)	30

The total number of economic orders per year to meet the annual demand is .

50

Discussion

4929.	A time interval of 3 minutes and 20 seconds is wrongly measured as 3 minutes and 25 seconds. What is the percentage error?
Answer» A time interval of 3 minutes and 20 seconds is wrongly measured as 3 minutes and 25 seconds. What is the percentage error?

Discussion

4930.	HOW TO SOLVE "Number of values of x satisfying the inequality 109x – 1010 ≤ 108x + 109, such that x ∈ N"
Answer» HOW TO SOLVE "Number of values of x satisfying the inequality 109x – 1010 ≤ 108x + 109, such that x ∈ N"

Discussion

4931.	The volume of a closed cubical tank is 1331 cubic metre. Given that it costs Rs.10 to paint per square metre, find the cost incurred to paint its complete surface area from outside.
Answer» The volume of a closed cubical tank is 1331 cubic metre. Given that it costs Rs.10 to paint per square metre, find the cost incurred to paint its complete surface area from outside.

Discussion

4932.	Use the short cut method to find (110)2.
Answer» Use the short cut method to find $(110)^{2}$ .

Discussion

4933.	Number of rational numbers between two rational numbers are?
Answer» Number of rational numbers between two rational numbers are?

Discussion

4934.	The last 2 digits of a 3 digit number are 3 and 7. What are the possible values of the first digit if the number is divisible by 3? [3 MARKS]
Answer» The last 2 digits of a 3 digit number are 3 and 7. What are the possible values of the first digit if the number is divisible by 3? [3 MARKS]

Discussion

4935.	38. consider first 10 positive integers if we multiply each term by -1 and add 1 to each number, the variance of the numbers so obtained is ?
Answer» 38. consider first 10 positive integers if we multiply each term by -1 and add 1 to each number, the variance of the numbers so obtained is ?

Discussion

4936.	The domain of the function f(x)=ln{log\|sinx\|(x2−8x+23)−3log2\|sinx\|} contains which of the following interval(s)?
Answer» The domain of the function $f (x) = ln {{log}_{\| sin x \|} (x^{2} - 8 x + 23) - \frac{3}{{log}_{2} \| sin x \|}}$ contains which of the following interval(s)?

Discussion

4937.	A water tank is in a form of cube with edge 2 m. Find its volume.
Answer» A water tank is in a form of cube with edge 2 m. Find its volume.

4937.

A water tank is in a form of cube with edge 2 m. Find its volume.

Answer»

A water tank is in a form of cube with edge 2 m. Find its volume.

Discussion

4938.	The area of an isosceles triangle having base 2cm and the length of one of the equal sides 4cm, is
Answer» The area of an isosceles triangle having base 2cm and the length of one of the equal sides 4cm, is

Discussion

4939.	If one interior angle of an octagon is 310∘ and each of the other angles are x∘, then x = ___
Answer» If one interior angle of an octagon is $310^{\circ}$ and each of the other angles are $x^{\circ}$ , then x = ___

Discussion

4940.	Q. The minimum and maximum values of the function y=x^3-3x^2+6 are
Answer» Q. The minimum and maximum values of the function y=x^3-3x^2+6 are

Discussion

4941.	To prove (a+b)(a−b)=a2−b2
Answer» To prove $(a + b) (a - b) = a^{2} - b^{2}$

Discussion

4942.	In the above figure, PC is the tangent and BC is the diameter of circle where O is centre of the circle. A secant from point P is drawn that cut the circle at point A and B such that AB is equal to radius of the circle. find ∠P.
Answer» In the above figure, $P C$ is the tangent and $B C$ is the diameter of circle where $O$ is centre of the circle. A secant from point $P$ is drawn that cut the circle at point $A$ and $B$ such that $A B$ is equal to radius of the circle. find $∠ P$ .

Discussion

4943.	If 55% of students in a school are girls and the number of boys is 270, find the number of girls in the school.
Answer» If 55% of students in a school are girls and the number of boys is 270, find the number of girls in the school.

Discussion

4944.	What amount is to be repaid on a loan of Rs 12000 for 1 1/2years at 10 % per annum compounded annually
Answer» What amount is to be repaid on a loan of Rs 12000 for 1 1/2years at 10 % per annum compounded annually

Discussion

4945.	Which of the following applies to the sentence? Gauri played cricket for her school’s cricket team and won laurels for her performance.
Answer» Which of the following applies to the sentence? Gauri played cricket for her school’s cricket team and won laurels for her performance.

4945.

Which of the following applies to the sentence? Gauri played cricket for her school’s cricket team and won laurels for her performance.

Answer»

Which of the following applies to the sentence?

Gauri played cricket for her school’s cricket team and won laurels for her performance.

Discussion

4946.	A random survey of the number of children of various age groups playing in park was found as follows:Age (in years)Number of children1−252−333−565−7127−10910−151015−174Draw a histogram to represent the data above
Answer» A random survey of the number of children of various age groups playing in park was found as follows: $\begin{matrix} A g e (i n y e a r s) & N u m b e r o f c h i l d r e n 1 - 2 & 5 2 - 3 & 3 3 - 5 & 6 5 - 7 & 12 7 - 10 & 9 10 - 15 & 10 15 - 17 & 4 \end{matrix}$ Draw a histogram to represent the data above

Discussion

4947.	How many sides does a regular polygon have if each of its interior angles is 165∘?
Answer» How many sides does a regular polygon have if each of its interior angles is $165^{\circ}$ ?

Discussion

4948.	Surface area of a cubical box of side length 8 m without top is given by:
Answer» Surface area of a cubical box of side length 8 m without top is given by:

4948.

Surface area of a cubical box of side length 8 m without top is given by:

Answer»

Surface area of a cubical box of side length 8 m without top is given by:

Discussion

4949.	The number of hours for which students of a particular class watched television during holidays is shown in the given graph.We draw the histogram for above frequency table:Answer the following:How many students watched TV for less than 4 hours?
Answer» The number of hours for which students of a particular class watched television during holidays is shown in the given graph. We draw the histogram for above frequency table: Answer the following: How many students watched TV for less than 4 hours?

Discussion

4950.	Prove that 2⋅7n+3⋅5n−5 is divisible by 24, for all n∈N.
Answer» Prove that $2 \cdot 7^{n} + 3 \cdot 5^{n} - 5$ is divisible by $24$ , for all $n \in N$ .

Discussion

Explore topic-wise InterviewSolutions in .

Which is greater 100^2 or 2^100

Find the product of 613 and multiplicative inverse of −14.

Which ofthe following will not represent zero?(a) 1 +0 (b) 0 × 0 (c) (d)

Find the volume of a cube whose surface area is 486 cm2.

If t(n) represents the nth term of an AP, then which of the following is always true?

FactoriseX raise to power 3 minus 3x raise to power 2 minus 9x minus 5

Rationalise the denominators of the following:(i) (ii) (iii) (iv)

Question 7The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 32. Find the rational number.

The area of a rectangular field is 11.025 square metre. If its breadth measures 4.5 metre, then calculate its length.

Question 4(ii)Factorisep4−81

For point symmetry, which of the options hold true?

Find the square root of 17.64

Factories 6xy-4y+6-9x

the number(49^2-4)(49^3-49)is divisible by 5!6!7!9!

The ratio of copper and zinc in an alloy is 5 : 3. If the weight of copper in the alloy is 30.5 g, find the weight of zinc in it.

Question 10(ii)Find and correct the errors in the following mathematical statement. Substituting x=−3 inx2−5x+4 gives (−3)2−5(−3)=9−15+4=−2

The value of nCn and nC0 have the ratio of

Q. 5 रू. की 6 टॉफी की दर से कुछ टॉफियाँ खरीदी गई और 6 रू. की 5 टॉफी की दर से बेची गई। लाभ % होगा?

22.If the lenght of a pendulum is increased by 2% then,in a day the pendulum loses gain how many seconds?

A number is called a palindrome if it reads the same backward as well as forward. For example 285582 is a six digit palindrome. The number of six digit palindromes, which are divisible by 55, is

Which of the following is not a property of Rhombus?

Match the given polynomials, p(x) to their respective values at x=5 i.e., p(5).

Question 63 In the following question, state whether the statement is True (T) or False (F): The product of one negative and one positive term is a negative term.

According to a survey conducted in a city, 25% were doctors, 30% engineers, 15% businessmen and rest were illiterates. What is the number of illiterates if the total population of the city is 5000?

5xy+25y+3x+15 is factorised as

AB and BC are the sides of a regular pentagon. CD and DE are the sides of a regular hexagon. If OB and OD are the angle bisectors of ∠ABC and ∠CDE, and ∠BOD=126∘, then find the measure of ∠BCD.

Write the equation of the line parallel to the X-axis at a distance of 5 units from it and below the X-axis.

A time interval of 3 minutes and 20 seconds is wrongly measured as 3 minutes and 25 seconds. What is the percentage error?

HOW TO SOLVE "Number of values of x satisfying the inequality 109x – 1010 ≤ 108x + 109, such that x ∈ N"

The volume of a closed cubical tank is 1331 cubic metre. Given that it costs Rs.10 to paint per square metre, find the cost incurred to paint its complete surface area from outside.

Use the short cut method to find (110)2.

Number of rational numbers between two rational numbers are?

The last 2 digits of a 3 digit number are 3 and 7. What are the possible values of the first digit if the number is divisible by 3? [3 MARKS]

38. consider first 10 positive integers if we multiply each term by -1 and add 1 to each number, the variance of the numbers so obtained is ?

The domain of the function f(x)=ln{log|sinx|(x2−8x+23)−3log2|sinx|} contains which of the following interval(s)?

A water tank is in a form of cube with edge 2 m. Find its volume.

The area of an isosceles triangle having base 2cm and the length of one of the equal sides 4cm, is

If one interior angle of an octagon is 310∘ and each of the other angles are x∘, then x = ___

Q. The minimum and maximum values of the function y=x^3-3x^2+6 are

To prove (a+b)(a−b)=a2−b2

In the above figure, PC is the tangent and BC is the diameter of circle where O is centre of the circle. A secant from point P is drawn that cut the circle at point A and B such that AB is equal to radius of the circle. find ∠P.

If 55% of students in a school are girls and the number of boys is 270, find the number of girls in the school.

What amount is to be repaid on a loan of Rs 12000 for 1 1/2years at 10 % per annum compounded annually

Which of the following applies to the sentence? Gauri played cricket for her school’s cricket team and won laurels for her performance.

A random survey of the number of children of various age groups playing in park was found as follows:Age (in years)Number of children1−252−333−565−7127−10910−151015−174Draw a histogram to represent the data above

How many sides does a regular polygon have if each of its interior angles is 165∘?

Surface area of a cubical box of side length 8 m without top is given by:

The number of hours for which students of a particular class watched television during holidays is shown in the given graph.We draw the histogram for above frequency table:Answer the following:How many students watched TV for less than 4 hours?

Prove that 2⋅7n+3⋅5n−5 is divisible by 24, for all n∈N.