25365 + Interview Questions in Mathematics Page 29 InterviewSolution

1401.	For a quiz competition, a group of 3 students is selected randomly from a class consisting of 5 boys and 5 girls. What is the probability that one boy and two girls are selected?
Answer» For a quiz competition, a group of 3 students is selected randomly from a class consisting of 5 boys and 5 girls. What is the probability that one boy and two girls are selected?

Discussion

1402.	Find the value of x, if it is given that lines AB and CD are parallel to each other.
Answer» Find the value of x, if it is given that lines AB and CD are parallel to each other.

1402.

Find the value of x, if it is given that lines AB and CD are parallel to each other.

Answer»

Find the value of x, if it is given that lines AB and CD are parallel to each other.

Discussion

1403.	Find the shape of these objects.
Answer» Find the shape of these objects.

Discussion

1404.	Find all integers n for which the number (n + 3) (n − 1) is also an integer.
Answer» Find all integers n for which the number (n + 3) (n − 1) is also an integer.

Discussion

1405.	Question 85 (ix)Expand the following, using suitable identities.(2x3−23)(2x3+2a3)
Answer» Question 85 (ix) Expand the following, using suitable identities. $(\frac{2 x}{3} - \frac{2}{3}) (\frac{2 x}{3} + \frac{2 a}{3})$

1405.

Question 85 (ix)Expand the following, using suitable identities.(2x3−23)(2x3+2a3)

Answer»

Question 85 (ix)

Expand the following, using suitable identities.

$(\frac{2 x}{3} - \frac{2}{3}) (\frac{2 x}{3} + \frac{2 a}{3})$

Discussion

1406.	For the expression 4x6+7x4+5x2xn to be polynomial, what could be the possible value(s) of 'n' (n≥0)?
Answer» For the expression $\frac{4 x^{6} + 7 x^{4} + 5 x^{2}}{x^{n}}$ to be polynomial, what could be the possible value(s) of ' $n$ ' $(n \geq 0) ?$

Discussion

1407.	A sum of money at compound interest becomes its n times in A years then at same rate of interest it will be its n^x times in A×x years. How A×x years came?
Answer» A sum of money at compound interest becomes its n times in A years then at same rate of interest it will be its n^x times in A×x years. How A×x years came?

Discussion

1408.	Show that: (i) 133−53 is divisible by 8. (ii) 353+273 is divisible by 62.
Answer» Show that: $(i) 13^{3} - 5^{3}$ is divisible by 8. $(i i) 35^{3} + 27^{3}$ is divisible by 62.

1408.

Show that: (i) 133−53 is divisible by 8. (ii) 353+273 is divisible by 62.

Answer»

Show that:

$(i) 13^{3} - 5^{3}$ is divisible by 8.

$(i i) 35^{3} + 27^{3}$ is divisible by 62.

Discussion

1409.	The number of hours for which students of a particular class watched television during holidays is shown through the given graph.Answer the following(i) For how many hours did the maximum number of students watch TV?(ii) How many students watched TV for less than 4 hours?(iii) How many students spent more than 5 hours in watching TV?
Answer» The number of hours for which students of a particular class watched television during holidays is shown through the given graph. Answer the following (i) For how many hours did the maximum number of students watch TV? (ii) How many students watched TV for less than 4 hours? (iii) How many students spent more than 5 hours in watching TV?

1409.

The number of hours for which students of a particular class watched television during holidays is shown through the given graph.Answer the following(i) For how many hours did the maximum number of students watch TV?(ii) How many students watched TV for less than 4 hours?(iii) How many students spent more than 5 hours in watching TV?

Answer»

The number of hours for which students of a particular class watched television during holidays is shown through the given graph.

Answer the following

(i) For how many hours did the maximum number of students watch TV?

(ii) How many students watched TV for less than 4 hours?

(iii) How many students spent more than 5 hours in watching TV?

Discussion

1410.	Question 5If the height of a cylinder becomes 14 of the original height and the radius is doubled, then which of the following will be true ?(a) Volume of the cylinder will be doubled(b) Volume of the cylinder will remain unchanged(c) Volume of the cylinder will be halved(d) Volume of the cylinder will be 14 of the original volume
Answer» Question 5 If the height of a cylinder becomes $\frac{1}{4}$ of the original height and the radius is doubled, then which of the following will be true ? (a) Volume of the cylinder will be doubled (b) Volume of the cylinder will remain unchanged (c) Volume of the cylinder will be halved (d) Volume of the cylinder will be $\frac{1}{4}$ of the original volume

1410.

Question 5If the height of a cylinder becomes 14 of the original height and the radius is doubled, then which of the following will be true ?(a) Volume of the cylinder will be doubled(b) Volume of the cylinder will remain unchanged(c) Volume of the cylinder will be halved(d) Volume of the cylinder will be 14 of the original volume

Answer»

Question 5

If the height of a cylinder becomes $\frac{1}{4}$ of the original height and the radius is doubled, then which of the following will be true ?

(a) Volume of the cylinder will be doubled

(b) Volume of the cylinder will remain unchanged

(c) Volume of the cylinder will be halved

(d) Volume of the cylinder will be $\frac{1}{4}$ of the original volume

Discussion

1411.	7x×(−5yz)×2xz = ___
Answer» $7 x \times (- 5 y z) \times 2 x z$ = ___

Discussion

1412.	100 is increased by 10% and then it is decreased by 10%. Therefore the net decrease and the corresponding decrease percentage is:
Answer» 100 is increased by $10 %$ and then it is decreased by $10 %$ . Therefore the net decrease and the corresponding decrease percentage is:

Discussion

1413.	Find the frequency of gettinng a number greater than 2 but less than 5. Dice123456Frequency101264810
Answer» Find the frequency of gettinng a number greater than 2 but less than 5. $\begin{matrix} D i c e & 1 & 2 & 3 & 4 & 5 & 6 F r e q u e n c y & 10 & 12 & 6 & 4 & 8 & 10 \end{matrix}$

1413.

Find the frequency of gettinng a number greater than 2 but less than 5. Dice123456Frequency101264810

Answer»

Find the frequency of gettinng a number greater than 2 but less than 5.

$\begin{matrix} D i c e & 1 & 2 & 3 & 4 & 5 & 6 F r e q u e n c y & 10 & 12 & 6 & 4 & 8 & 10 \end{matrix}$

Discussion

1414.	without actual calculating the cubes , factorise:(a-3b)^3+(3b-4z)^3+(4z-a)^3
Answer» without actual calculating the cubes , factorise:(a-3b)^3+(3b-4z)^3+(4z-a)^3

Discussion

1415.	In a number pattern 66,127,218, t ,the value of t will be A.472 B.514 C.555 D.670
Answer» In a number pattern 66,127,218, t ,the value of t will be A.472 B.514 C.555 D.670

1415.

In a number pattern 66,127,218, t ,the value of t will be A.472 B.514 C.555 D.670

Answer»

In a number pattern 66,127,218, t ,the value of t will be

A.472

B.514

C.555

D.670

Discussion

1416.	The distance between two planets is 2.496×1011 m and the distance between two stars is 4.84×108 m . Calculate the difference of these distances in metres.
Answer» The distance between two planets is 2.496× $10^{11}$ m and the distance between two stars is 4.84× $10^{8}$ m . Calculate the difference of these distances in metres.

Discussion

1417.	A number is divisible by 6 if it is divisible by:
Answer» A number is divisible by 6 if it is divisible by:

Discussion

1418.	Find the value of x in the equation x3+4=2
Answer» Find the value of $x$ in the equation $\frac{x}{3} + 4 = 2$

Discussion

1419.	A person buys electronic goods worth Rs 10,000 for which the sales tax is 4% and other material worth Rs 15,000 for which the sales tax is 6%. He manufactures a gadget using all these and sells it at 15% profit. What is his selling price?
Answer» A person buys electronic goods worth Rs 10,000 for which the sales tax is 4% and other material worth Rs 15,000 for which the sales tax is 6%. He manufactures a gadget using all these and sells it at 15% profit. What is his selling price?

Discussion

1420.	The famous Mathematician associated with finding the sum of the first 100 natural numbers was _________.
Answer» The famous Mathematician associated with finding the sum of the first 100 natural numbers was _________.

Discussion

1421.	Two consecutive angles of a parallelogram are (x+60)∘ and (2x+30)∘. What special name can you give to this parallelogram?
Answer» Two consecutive angles of a parallelogram are $(x + 60)^{\circ} and (2 x + 30)^{\circ} .$ What special name can you give to this parallelogram?

Discussion

1422.	If x140 + 2x151 + k is divisible by x + 1, then the value of k is(a) 1(b) −3(c) 2(d) −2
Answer» If x¹⁴⁰ + 2x¹⁵¹ + k is divisible by x + 1, then the value of k is (a) 1 (b) −3 (c) 2 (d) −2

Discussion

1423.	(क) अगर रोबोट की आँखें या हाथ न होते तो वह कौन-कौन से काम नहीं कर पाता?(ख) रोबोट ऐसे कौन-कौन से काम कर सकता है जो मनुष्य नहीं कर सकता?(ग) रोबोट ऐसे कौन-कौन से काम नहीं कर सकता जो मनुष्य कर सकता है?
Answer» (क) अगर रोबोट की आँखें या हाथ न होते तो वह कौन-कौन से काम नहीं कर पाता? (ख) रोबोट ऐसे कौन-कौन से काम कर सकता है जो मनुष्य नहीं कर सकता? (ग) रोबोट ऐसे कौन-कौन से काम नहीं कर सकता जो मनुष्य कर सकता है?

1423.

(क) अगर रोबोट की आँखें या हाथ न होते तो वह कौन-कौन से काम नहीं कर पाता?(ख) रोबोट ऐसे कौन-कौन से काम कर सकता है जो मनुष्य नहीं कर सकता?(ग) रोबोट ऐसे कौन-कौन से काम नहीं कर सकता जो मनुष्य कर सकता है?

Answer»

(क) अगर रोबोट की आँखें या हाथ न होते तो वह कौन-कौन से काम नहीं कर पाता?

(ख) रोबोट ऐसे कौन-कौन से काम कर सकता है जो मनुष्य नहीं कर सकता?

(ग) रोबोट ऐसे कौन-कौन से काम नहीं कर सकता जो मनुष्य कर सकता है?

Discussion

1424.	A shopkeeper has 34 balls in his shop. He sold 21 balls to one customer. How many balls are now left with him ?13
Answer» A shopkeeper has $34$ balls in his shop. He sold $21$ balls to one customer. How many balls are now left with him $?$ 13

Discussion

1425.	Find the number of degrees in each exterior angle of a regular pentagon.
Answer» Find the number of degrees in each exterior angle of a regular pentagon.

Discussion

1426.	Question 1 (v) Find the square roots of each of the following numbers by Division method: 3249
Answer» Question 1 (v) Find the square roots of each of the following numbers by Division method: 3249

Discussion

1427.	22+77x can be written as.
Answer» $22 + 77 x$ can be written as.

Discussion

1428.	How many 5-digit numbers divisible by 11 are there containing each of the digits 2, 3, 4, 5, 6?
Answer» How many 5-digit numbers divisible by 11 are there containing each of the digits 2, 3, 4, 5, 6?

Discussion

1429.	Write the following numbers in the form of rational indices.(i) Cube root of 8th power of 548(ii) Square of 3rd root of 131
Answer» Write the following numbers in the form of rational indices. (i) Cube root of 8th power of 548 (ii) Square of 3rd root of 131

Discussion

1430.	Factorise 1+x+xy+x²y
Answer» Factorise 1+x+xy+x²y

Discussion

1431.	From a pack of 52 cards the probability of getting a card of heart when a card is picked at random is___.
Answer» From a pack of 52 cards the probability of getting a card of heart when a card is picked at random is___.

Discussion

1432.	Solve: (35x5+14x3−28x2)÷(−7x)
Answer» Solve: $(35 x^{5} + 14 x^{3} - 28 x^{2}) \div (- 7 x)$

Discussion

1433.	What type of the base of a square pyramid ?
Answer» What type of the base of a square pyramid ?

Discussion

1434.	On one page of a telephone directory, there are 200 phone numbers. The frequency distribution of their unit's digits is given below:Unit's digit0123456789Frequency19222319212423181615One of the numbers is chosen at random from the page. What is the probability that the unit's digit of the chosen number is (i) 5? (ii) 8?
Answer» On one page of a telephone directory, there are 200 phone numbers. The frequency distribution of their unit's digits is given below: $\begin{matrix} Unit's digit & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 Frequency & 19 & 22 & 23 & 19 & 21 & 24 & 23 & 18 & 16 & 15 \end{matrix}$ One of the numbers is chosen at random from the page. What is the probability that the unit's digit of the chosen number is (i) 5? (ii) 8?

1434.

On one page of a telephone directory, there are 200 phone numbers. The frequency distribution of their unit's digits is given below:Unit's digit0123456789Frequency19222319212423181615One of the numbers is chosen at random from the page. What is the probability that the unit's digit of the chosen number is (i) 5? (ii) 8?

Answer»

On one page of a telephone directory, there are 200 phone numbers. The frequency distribution of their unit's digits is given below:

$\begin{matrix} Unit's digit & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 Frequency & 19 & 22 & 23 & 19 & 21 & 24 & 23 & 18 & 16 & 15 \end{matrix}$

One of the numbers is chosen at random from the page. What is the probability that the unit's digit of the chosen number is (i) 5? (ii) 8?

Discussion

1435.	Which of the following graphs of y=f(x) is NOT Function?
Answer» Which of the following graphs of $y = f (x)$ is NOT Function?

Discussion

1436.	What do we call the amount of space a solid figure takes up?
Answer» What do we call the amount of space a solid figure takes up?

Discussion

1437.	What is the least number that must be subtracted from 5,607 to get a perfect square ?
Answer» What is the least number that must be subtracted from $5, 607$ to get a perfect square ?

Discussion

1438.	Which of the following is not an experiment: a.Tossing a coin B. Choosing a specific coloured ball from a collection of different coloured balls C.buying a pen.
Answer» Which of the following is not an experiment: a.Tossing a coin B. Choosing a specific coloured ball from a collection of different coloured balls C.buying a pen.

Discussion

1439.	СP QВ30. The base BC of an isosceles triangle ABC is produced to D and a straline DQ is drawn cutting AC at P and meeting AB in Q. Prove that AP isgreater than AQ
Answer» СP QВ30. The base BC of an isosceles triangle ABC is produced to D and a straline DQ is drawn cutting AC at P and meeting AB in Q. Prove that AP isgreater than AQ

Discussion

1440.	Diagonals of a quadrilateral ABCD bisect each other. If ∠A = 35°, then ∠B = _________.
Answer» Diagonals of a quadrilateral ABCD bisect each other. If ∠A = 35°, then ∠B = _________.

Discussion

1441.	Question 22In the given question, fill in the blanks to make the statement true.The difference of a two-digit number and the number obtained by reversing its digits is always divisible by ___.
Answer» Question 22 In the given question, fill in the blanks to make the statement true. The difference of a two-digit number and the number obtained by reversing its digits is always divisible by ___.

Discussion

1442.	If CP of an article is Rs 900, overhead expenses are Rs 200 and SP is Rs 1200, then profit percent is:
Answer» If CP of an article is Rs 900, overhead expenses are Rs 200 and SP is Rs 1200, then profit percent is:

Discussion

1443.	find the values of x and y: (a-b)x + (a+b)y = a^{2 }-2ab-b^2 ; (a+b)(x+y)=a^2 + b^2
Answer» find the values of x and y: (a-b)x + (a+b)y = a^{2 }-2ab-b^2 ; (a+b)(x+y)=a^2 + b^2

Discussion

1444.	Find the value of x. 3x+93 =5x+59
Answer» Find the value of $x .$ $3 x + \frac{9}{3}$ $= 5 x + \frac{5}{9}$

1444.

Find the value of x. 3x+93 =5x+59

Answer»

Find the value of $x .$

$3 x + \frac{9}{3}$ $= 5 x + \frac{5}{9}$

Discussion

1445.	What is the front view of the following figure?
Answer» What is the front view of the following figure?

1445.

What is the front view of the following figure?

Answer»

What is the front view of the following figure?

Discussion

1446.	Which of the following represents a pair of dependent equations?
Answer» Which of the following represents a pair of dependent equations?

Discussion

1447.	In an equilateral triangle ABC, AD is the median from vertex A to the side BC, the length of median is √27 cm, then find the length of the equilateral triangle.
Answer» In an equilateral triangle ABC, AD is the median from vertex A to the side BC, the length of median is $\sqrt{2} 7$ cm, then find the length of the equilateral triangle.

Discussion

1448.	What is the volume of a cylinder with a diameter of 42 units and a height of 20 units?
Answer» What is the volume of a cylinder with a diameter of 42 units and a height of 20 units?

Discussion

1449.	If one of the diagonals of a rhombus is equal to a side of the rhombus. Find the measure of unequal angles of the rhombus.
Answer» If one of the diagonals of a rhombus is equal to a side of the rhombus. Find the measure of unequal angles of the rhombus.

Discussion

1450.	A bag contains 11 black, 8 blue, 5 red and 6 yellow balls. If 10 green balls are now added to the bag , what will be the percentage of blue balls in the bag now?
Answer» A bag contains 11 black, 8 blue, 5 red and 6 yellow balls. If 10 green balls are now added to the bag , what will be the percentage of blue balls in the bag now?

Discussion

Explore topic-wise InterviewSolutions in .

For a quiz competition, a group of 3 students is selected randomly from a class consisting of 5 boys and 5 girls. What is the probability that one boy and two girls are selected?

Find the value of x, if it is given that lines AB and CD are parallel to each other.

Find the shape of these objects.

Find all integers n for which the number (n + 3) (n − 1) is also an integer.

Question 85 (ix)Expand the following, using suitable identities.(2x3−23)(2x3+2a3)

For the expression 4x6+7x4+5x2xn to be polynomial, what could be the possible value(s) of 'n' (n≥0)?

A sum of money at compound interest becomes its n times in A years then at same rate of interest it will be its n^x times in A×x years. How A×x years came?

Show that: (i) 133−53 is divisible by 8. (ii) 353+273 is divisible by 62.

7x×(−5yz)×2xz = ___

100 is increased by 10% and then it is decreased by 10%. Therefore the net decrease and the corresponding decrease percentage is:

Find the frequency of gettinng a number greater than 2 but less than 5. Dice123456Frequency101264810

without actual calculating the cubes , factorise:(a-3b)^3+(3b-4z)^3+(4z-a)^3

In a number pattern 66,127,218, t​​​​​​​​​​​​ ,the value of t will be A.472 B.514 C.555 D.670

The distance between two planets is 2.496×1011 m and the distance between two stars is 4.84×108 m . Calculate the difference of these distances in metres.

A number is divisible by 6 if it is divisible by:

Find the value of x in the equation x3+4=2

A person buys electronic goods worth Rs 10,000 for which the sales tax is 4% and other material worth Rs 15,000 for which the sales tax is 6%. He manufactures a gadget using all these and sells it at 15% profit. What is his selling price?

The famous Mathematician associated with finding the sum of the first 100 natural numbers was _________.

Two consecutive angles of a parallelogram are (x+60)∘ and (2x+30)∘. What special name can you give to this parallelogram?

If x140 + 2x151 + k is divisible by x + 1, then the value of k is(a) 1(b) −3(c) 2(d) −2

A shopkeeper has 34 balls in his shop. He sold 21 balls to one customer. How many balls are now left with him ?13

Find the number of degrees in each exterior angle of a regular pentagon.

Question 1 (v) Find the square roots of each of the following numbers by Division method: 3249

22+77x can be written as.

How many 5-digit numbers divisible by 11 are there containing each of the digits 2, 3, 4, 5, 6?

Write the following numbers in the form of rational indices.(i) Cube root of 8th power of 548(ii) Square of 3rd root of 131

Factorise 1+x+xy+x²y

From a pack of 52 cards the probability of getting a card of heart when a card is picked at random is___.

Solve: (35x5+14x3−28x2)÷(−7x)

What type of the base of a square pyramid ?

Which of the following graphs of y=f(x) is NOT Function?

What do we call the amount of space a solid figure takes up?

What is the least number that must be subtracted from 5,607 to get a perfect square ?

Which of the following is not an experiment: a.Tossing a coin B. Choosing a specific coloured ball from a collection of different coloured balls C.buying a pen.

СP QВ30. The base BC of an isosceles triangle ABC is produced to D and a straline DQ is drawn cutting AC at P and meeting AB in Q. Prove that AP isgreater than AQ

Diagonals of a quadrilateral ABCD bisect each other. If ∠A = 35°, then ∠B = _________.

Question 22In the given question, fill in the blanks to make the statement true.The difference of a two-digit number and the number obtained by reversing its digits is always divisible by ___.

If CP of an article is Rs 900, overhead expenses are Rs 200 and SP is Rs 1200, then profit percent is:

find the values of x and y: (a-b)x + (a+b)y = a^{2 }-2ab-b^2 ; (a+b)(x+y)=a^2 + b^2

Find the value of x. 3x+93 =5x+59

What is the front view of the following figure?

Which of the following represents a pair of dependent equations?

In an equilateral triangle ABC, AD is the median from vertex A to the side BC, the length of median is √27 cm, then find the length of the equilateral triangle.

What is the volume of a cylinder with a diameter of 42 units and a height of 20 units?

If one of the diagonals of a rhombus is equal to a side of the rhombus. Find the measure of unequal angles of the rhombus.

A bag contains 11 black, 8 blue, 5 red and 6 yellow balls. If 10 green balls are now added to the bag , what will be the percentage of blue balls in the bag now?

In a number pattern 66,127,218, t ,the value of t will be A.472 B.514 C.555 D.670