25365 + Interview Questions in Mathematics

1.	Before a cricket match, the officials wanted to check the distance of the boundary from the centre of the pitch, given that the ground is circular in shape. The entire boundary length is 628 m. Also find its area in m2 . Take π=3.14. [3 MARKS]
Answer» Before a cricket match, the officials wanted to check the distance of the boundary from the centre of the pitch, given that the ground is circular in shape. The entire boundary length is 628 m. Also find its area in $m^{2}$ . Take $π = 3.14$ . [3 MARKS]

Discussion

2.	Let R be a relation from N to N defined by R = {(a, b): a, b ∈ N and a = b2 }. Which of the following is/are true? (i) (a, a) ∈ R, for all a ∈ N (ii) (a, b) ∈ R, implies (b, a) ∈ R (iii) (a, b) ∈ R, (b, c) ∈ R implies (a, c) ∈ R
Answer» Let R be a relation from N to N defined by R = {(a, b): a, b $\in$ N and a = $b^{2}$ }. Which of the following is/are true? (i) (a, a) $\in$ R, for all a $\in$ N (ii) (a, b) $\in$ R, implies (b, a) $\in$ R (iii) (a, b) $\in$ R, (b, c) $\in$ R implies (a, c) $\in$ R

2.

Let R be a relation from N to N defined by R = {(a, b): a, b ∈ N and a = b2 }. Which of the following is/are true? (i) (a, a) ∈ R, for all a ∈ N (ii) (a, b) ∈ R, implies (b, a) ∈ R (iii) (a, b) ∈ R, (b, c) ∈ R implies (a, c) ∈ R

Answer»

Let R be a relation from N to N defined by R = {(a, b): a, b $\in$ N and a = $b^{2}$ }. Which of the following is/are true?

(i) (a, a) $\in$ R, for all a $\in$ N

(ii) (a, b) $\in$ R, implies (b, a) $\in$ R

(iii) (a, b) $\in$ R, (b, c) $\in$ R implies (a, c) $\in$ R

Discussion

3.	An observation with highest frequency in 4, 5, 7, 4, 8, 5, 4, 8, 5, 4 is ________.
Answer» An observation with highest frequency in 4, 5, 7, 4, 8, 5, 4, 8, 5, 4 is ________.

Discussion

4.	Parallel lines are obtained for the pair of equations a1x+b1y+c1=0 and a2x+b2y+c2=0 if
Answer» Parallel lines are obtained for the pair of equations $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ if

Discussion

5.	Prove that if a number is doubled, then its cube is eight times the cube of the given number.
Answer» Prove that if a number is doubled, then its cube is eight times the cube of the given number.

Discussion

6.	Evaluate: 104×105
Answer» Evaluate: $104 \times 105$

Discussion

7.	Find the cubes of : (i) -3 (ii) -7 (iii) -12 (iv) -12 (v) -18 (vi) -25 (vii) -50
Answer» Find the cubes of : (i) -3 (ii) -7 (iii) -12 (iv) -12 (v) -18 (vi) -25 (vii) -50

7.

Find the cubes of : (i) -3 (ii) -7 (iii) -12 (iv) -12 (v) -18 (vi) -25 (vii) -50

Answer»

Find the cubes of :

(i) -3 (ii) -7 (iii) -12

(iv) -12 (v) -18 (vi) -25

(vii) -50

Discussion

8.	Surface area of a cubical box of side length 2 m open at the top is given by:
Answer» Surface area of a cubical box of side length 2 m open at the top is given by:

Discussion

9.	((53)4×53)÷510 = ___
Answer» $((5^{3})^{4} \times 5^{3}) \div 5^{10}$ = ___

Discussion

10.	36×24 written as a product of its primes is
Answer» $36 \times 24$ written as a product of its primes is

Discussion

11.	5x×(−4yz)×3xz = ___
Answer» $5 x \times (- 4 y z) \times 3 x z$ = ___

Discussion

12.	Express 4.95×105 in usual form.
Answer» Express $4.95 \times 10^{5}$ in usual form.

Discussion

13.	The tens digit of a two digit number is two times the ones digit. If you interchange the digits and add the resulting number to original number you get 66. Find the original number.
Answer» The tens digit of a two digit number is two times the ones digit. If you interchange the digits and add the resulting number to original number you get 66. Find the original number.

Discussion

14.	Which of these is not a property of rectangles?
Answer» Which of these is not a property of rectangles?

Discussion

15.	A polygon has 27 diagonals. How many sides does it have??
Answer» A polygon has 27 diagonals. How many sides does it have??

Discussion

16.	The simplification of the expression (8x+3y)2 is .
Answer» The simplification of the expression $(8 x + 3 y)^{2}$ is .

Discussion

17.	Factorise 2a^3+4a^2b+2ab^2
Answer» Factorise 2a^3+4a^2b+2ab^2

Discussion

18.	The two diagonals are not necessarily equal in a (a) rectangle (b) square (c) rhombus (d) isoceles trapezium
Answer» The two diagonals are not necessarily equal in a (a) rectangle (b) square (c) rhombus (d) isoceles trapezium

18.

The two diagonals are not necessarily equal in a (a) rectangle (b) square (c) rhombus (d) isoceles trapezium

Answer»

The two diagonals are not necessarily equal in a

(a) rectangle (b) square

(c) rhombus (d) isoceles trapezium

Discussion

19.	Find two consecutive integers such that two-fifth of the smaller exceeds two-ninth of the greater by 4
Answer» Find two consecutive integers such that two-fifth of the smaller exceeds two-ninth of the greater by 4

Discussion

20.	Find the smallest number by which 405 must be divided, so as to get a perfect square.
Answer» Find the smallest number by which 405 must be divided, so as to get a perfect square.

Discussion

21.	What should be the additive inverse of 9?
Answer» What should be the additive inverse of 9?

Discussion

22.	An aquarium os in the form of a cuboid whose external measures are 80cm×30cm×40cm. The base,side face and back face are to be covered with a colored paper. The area of the colored paper required is? a.32000cm^2 b.4600cm^2 c. 7500cm^2 d.8000cm^2
Answer» An aquarium os in the form of a cuboid whose external measures are 80cm×30cm×40cm. The base,side face and back face are to be covered with a colored paper. The area of the colored paper required is? a.32000cm^2 b.4600cm^2 c. 7500cm^2 d.8000cm^2

Discussion

23.	Question 70 (iv) Using Euler's formula. Find the value of unknown. Faces p vertices 6 Edges 12
Answer» Question 70 (iv) Using Euler's formula. Find the value of unknown. Faces p vertices 6 Edges 12

Discussion

24.	Goods were bought for Rs. 600 and sold the same for Rs. 688.50 at a credit of 9 months and thus gaining 2% .The rate of interest per annum is:
Answer» Goods were bought for Rs. 600 and sold the same for Rs. 688.50 at a credit of 9 months and thus gaining 2% .The rate of interest per annum is:

Discussion

25.	Find the value of ′a′ using the suitable algebraic identity, if 10a=602−402.200
Answer» Find the value of $^{'} a^{'}$ using the suitable algebraic identity, if $10 a = 60^{2} - 40^{2}$ . 200

Discussion

26.	The difference between a 3 digit number and a number formed by reversing its digits is divisible by99
Answer» The difference between a 3 digit number and a number formed by reversing its digits is divisible by 99

Discussion

27.	If [x=3+3^(1/3)+3^(2/3)] , then prove that [(x^3)-(9x^2)+18x-12]=0
Answer» If [x=3+3^(1/3)+3^(2/3)] , then prove that [(x^3)-(9x^2)+18x-12]=0

Discussion

28.	√12+√12+√12+√12+√12•••••••••••••• infinite
Answer» √12+√12+√12+√12+√12•••••••••••••• infinite

Discussion

29.	Question 3(iii) Find the following squares by using identities: (6x2−5y)2
Answer» Question 3(iii) Find the following squares by using identities: $(6 x^{2} - 5 y)^{2}$

Discussion

30.	Mr. Arvind holds an account in Canara Bank. The following are the entries from his passbook: DateParticularsWithdrawals(inRs)Deposits(inRs)Balance(inRs)Jan.3,07B/F−−2642.00Jan16Toself640.00−2002.00March5ByCash−850.002852.00April10Toself1130.00−1722.00April25Bycheque−650.002372.00June15Bycash577.00−1795.00 If the rate is 4% p.a., calculate the interest from January 2007 to June 2007.
Answer» Mr. Arvind holds an account in Canara Bank. The following are the entries from his passbook: $\begin{matrix} D a t e & P a r t i c u l a r s & W i t h d r a w a l s (i n R s) & D e p o s i t s (i n R s) & B a l a n c e (i n R s) J a n . 3, 07 & B / F & - & - & 2642.00 J a n 16 & T o s e l f & 640.00 & - & 2002.00 M a r c h 5 & B y C a s h & - & 850.00 & 2852.00 A p r i l 10 & T o s e l f & 1130.00 & - & 1722.00 A p r i l 25 & B y c h e q u e & - & 650.00 & 2372.00 J u n e 15 & B y c a s h & 577.00 & - & 1795.00 \end{matrix}$ If the rate is 4% p.a., calculate the interest from January 2007 to June 2007.

30.

Mr. Arvind holds an account in Canara Bank. The following are the entries from his passbook: DateParticularsWithdrawals(inRs)Deposits(inRs)Balance(inRs)Jan.3,07B/F−−2642.00Jan16Toself640.00−2002.00March5ByCash−850.002852.00April10Toself1130.00−1722.00April25Bycheque−650.002372.00June15Bycash577.00−1795.00 If the rate is 4% p.a., calculate the interest from January 2007 to June 2007.

Answer»

Mr. Arvind holds an account in Canara Bank. The following are the entries from his passbook:

$\begin{matrix} D a t e & P a r t i c u l a r s & W i t h d r a w a l s (i n R s) & D e p o s i t s (i n R s) & B a l a n c e (i n R s) J a n . 3, 07 & B / F & - & - & 2642.00 J a n 16 & T o s e l f & 640.00 & - & 2002.00 M a r c h 5 & B y C a s h & - & 850.00 & 2852.00 A p r i l 10 & T o s e l f & 1130.00 & - & 1722.00 A p r i l 25 & B y c h e q u e & - & 650.00 & 2372.00 J u n e 15 & B y c a s h & 577.00 & - & 1795.00 \end{matrix}$

If the rate is 4% p.a., calculate the interest from January 2007 to June 2007.

Discussion

31.	Rounded to the hundredths place, what is the square root of 15?
Answer» Rounded to the hundredths place, what is the square root of 15?

Discussion

32.	If the three digit number 71a is divisible by 11, find the value of the digit a.
Answer» If the three digit number 71a is divisible by 11, find the value of the digit a.

Discussion

33.	In a quadrilateral ABCD, if DC = 7.3 cm, one of the angles is 60∘ and the diagonals bisect each other at 90∘, then which of the following figures can be constructed ?
Answer» In a quadrilateral ABCD, if DC = 7.3 cm, one of the angles is $60^{\circ}$ and the diagonals bisect each other at $90^{\circ}$ , then which of the following figures can be constructed ?

Discussion

34.	A sum of money doubles itself in 3 years at compound interest, when the interest is compounded annually. In how many years will the sum amount to 16 times of itself?
Answer» A sum of money doubles itself in $3$ years at compound interest, when the interest is compounded annually. In how many years will the sum amount to $16$ times of itself?

Discussion

35.	James can do a piece of work in 25 days and Kishan can finish it in 20 days. They work together for 5 days and then James leaves. In how many days will Kishan finish the remaining work?
Answer» James can do a piece of work in 25 days and Kishan can finish it in 20 days. They work together for 5 days and then James leaves. In how many days will Kishan finish the remaining work?

Discussion

36.	(a+b)(a2+b2−ab) =
Answer» $(a + b) (a^{2} + b^{2} - a b)$ =

Discussion

37.	The total surface area of a cube is 9.375cm sq. Find the side of cube.
Answer» The total surface area of a cube is 9.375cm sq. Find the side of cube.

Discussion

38.	The sum of two numbers is 15 and the difference of their squares is 15. The difference of the numbers is ___.
Answer» The sum of two numbers is 15 and the difference of their squares is 15. The difference of the numbers is ___.

Discussion

39.	If x and y are directly proportional then what will be the value of constant of proportionality? x1234y10203040
Answer» If $x$ and $y$ are directly proportional then what will be the value of constant of proportionality? $\begin{matrix} x & 1 & 2 & 3 & 4 y & 10 & 20 & 30 & 40 \end{matrix}$

39.

If x and y are directly proportional then what will be the value of constant of proportionality? x1234y10203040

Answer»

If $x$ and $y$ are directly proportional then what will be the value of constant of proportionality?

$\begin{matrix} x & 1 & 2 & 3 & 4 y & 10 & 20 & 30 & 40 \end{matrix}$

Discussion

40.	On what sum of money will the difference between the compound interest & simple interest for 2 years be equal to Rs. 25 if the rate of interest charged for both is 5% p.a.?
Answer» On what sum of money will the difference between the compound interest & simple interest for 2 years be equal to Rs. 25 if the rate of interest charged for both is 5% p.a.?

Discussion

41.	Question 4(i) The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions: In which subject did the student score 105 marks?
Answer» Question 4(i) The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions: In which subject did the student score 105 marks?

Discussion

42.	Between which two consecutive whole numbers does √95 lie?
Answer» Between which two consecutive whole numbers does $\sqrt{95}$ lie?

Discussion

43.	A shopkeeper buys an article at a rebate of 30% on the printed price(Marked Price). He spends ₹ 40 on transportation of the article. After charging sales tax at the rate of 7% on the printed price, he sells the article for ₹ 856. Find his profit percentage.
Answer» A shopkeeper buys an article at a rebate of $30 %$ on the printed price(Marked Price). He spends ₹ 40 on transportation of the article. After charging sales tax at the rate of $7 %$ on the printed price, he sells the article for ₹ 856. Find his profit percentage.

Discussion

44.	Can the experimental probability of an event be a negative number? If not, why?
Answer» Can the experimental probability of an event be a negative number? If not, why?

Discussion

45.	Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows: 1623512584810341228151176328596871412 (i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5- 10. [2 MARKS]
Answer» Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows: $\begin{matrix} 1 & 6 & 2 & 3 & 5 & 12 & 5 & 8 & 4 & 8 10 & 3 & 4 & 12 & 2 & 8 & 15 & 1 & 17 & 6 3 & 2 & 8 & 5 & 9 & 6 & 8 & 7 & 14 & 12 \end{matrix}$ (i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5- 10. [2 MARKS]

Discussion

46.	Question 59 State whether the statement is True or False. If perimeter of two parallelograms are equal, then their areas are also equal.
Answer» Question 59 State whether the statement is True or False. If perimeter of two parallelograms are equal, then their areas are also equal.

46.

Question 59 State whether the statement is True or False. If perimeter of two parallelograms are equal, then their areas are also equal.

Answer»

Question 59

State whether the statement is True or False.

If perimeter of two parallelograms are equal, then their areas are also equal.

Discussion

47.	If V is the volume of a cuboid of dimensions a × b × c and A is its surface area, then AV is
Answer» If V is the volume of a cuboid of dimensions a × b × c and A is its surface area, then $\frac{A}{V}$ is

Discussion

48.	990 + 9999 is divisible by
Answer» 990 + 9999 is divisible by

Discussion

49.	The factors of ax + bx - ay - by are __________.
Answer» The factors of ax + bx - ay - by are __________.

Discussion

50.	The following are the expenses of a household. ItemsExpenditure(in ₹)Food4000Clothing2000Rent1500Education1500Miscellaneous1000 To draw a pie – chart, the central angle of Clothing will be
Answer» The following are the expenses of a household. $\begin{matrix} Items & Expenditure(in ₹) Food & 4000 Clothing & 2000 Rent & 1500 Education & 1500 Miscellaneous & 1000 \end{matrix}$ To draw a pie – chart, the central angle of Clothing will be

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Before a cricket match, the officials wanted to check the distance of the boundary from the centre of the pitch, given that the ground is circular in shape. The entire boundary length is 628 m. Also find its area in m2 . Take π=3.14. [3 MARKS]

Let R be a relation from N to N defined by R = {(a, b): a, b ∈ N and a = b2 }. Which of the following is/are true? (i) (a, a) ∈ R, for all a ∈ N (ii) (a, b) ∈ R, implies (b, a) ∈ R (iii) (a, b) ∈ R, (b, c) ∈ R implies (a, c) ∈ R

An observation with highest frequency in 4, 5, 7, 4, 8, 5, 4, 8, 5, 4 is ________.

Parallel lines are obtained for the pair of equations a1x+b1y+c1=0 and a2x+b2y+c2=0 if

Prove that if a number is doubled, then its cube is eight times the cube of the given number.

Evaluate: 104×105

Find the cubes of : (i) -3 (ii) -7 (iii) -12 (iv) -12 (v) -18 (vi) -25 (vii) -50

Surface area of a cubical box of side length 2 m open at the top is given by:

((53)4×53)÷510 = ___

36×24 written as a product of its primes is

5x×(−4yz)×3xz = ___

Express 4.95×105 in usual form.

The tens digit of a two digit number is two times the ones digit. If you interchange the digits and add the resulting number to original number you get 66. Find the original number.

Which of these is not a property of rectangles?

A polygon has 27 diagonals. How many sides does it have??

The simplification of the expression (8x+3y)2 is .

Factorise 2a^3+4a^2b+2ab^2

The two diagonals are not necessarily equal in a (a) rectangle (b) square (c) rhombus (d) isoceles trapezium

Find two consecutive integers such that two-fifth of the smaller exceeds two-ninth of the greater by 4

Find the smallest number by which 405 must be divided, so as to get a perfect square.

What should be the additive inverse of 9?

An aquarium os in the form of a cuboid whose external measures are 80cm×30cm×40cm. The base,side face and back face are to be covered with a colored paper. The area of the colored paper required is? a.32000cm^2 b.4600cm^2 c. 7500cm^2 d.8000cm^2

Question 70 (iv) Using Euler's formula. Find the value of unknown. Faces p vertices 6 Edges 12

Goods were bought for Rs. 600 and sold the same for Rs. 688.50 at a credit of 9 months and thus gaining 2% .The rate of interest per annum is:

Find the value of ′a′ using the suitable algebraic identity, if 10a=602−402.200

The difference between a 3 digit number and a number formed by reversing its digits is divisible by99

If [x=3+3^(1/3)+3^(2/3)] , then prove that [(x^3)-(9x^2)+18x-12]=0

√12+√12+√12+√12+√12•••••••••••••• infinite

Question 3(iii) Find the following squares by using identities: (6x2−5y)2

Rounded to the hundredths place, what is the square root of 15?

If the three digit number 71a is divisible by 11, find the value of the digit a.

In a quadrilateral ABCD, if DC = 7.3 cm, one of the angles is 60∘ and the diagonals bisect each other at 90∘, then which of the following figures can be constructed ?

A sum of money doubles itself in 3 years at compound interest, when the interest is compounded annually. In how many years will the sum amount to 16 times of itself?

James can do a piece of work in 25 days and Kishan can finish it in 20 days. They work together for 5 days and then James leaves. In how many days will Kishan finish the remaining work?

(a+b)(a2+b2−ab) =

The total surface area of a cube is 9.375cm sq. Find the side of cube.

The sum of two numbers is 15 and the difference of their squares is 15. The difference of the numbers is ___.

If x and y are directly proportional then what will be the value of constant of proportionality? x1234y10203040

On what sum of money will the difference between the compound interest &amp; simple interest for 2 years be equal to Rs. 25 if the rate of interest charged for both is 5% p.a.?

Question 4(i) The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions: In which subject did the student score 105 marks?

Between which two consecutive whole numbers does √95 lie?

A shopkeeper buys an article at a rebate of 30% on the printed price(Marked Price). He spends ₹ 40 on transportation of the article. After charging sales tax at the rate of 7% on the printed price, he sells the article for ₹ 856. Find his profit percentage.

Can the experimental probability of an event be a negative number? If not, why?

Question 59 State whether the statement is True or False. If perimeter of two parallelograms are equal, then their areas are also equal.

If V is the volume of a cuboid of dimensions a × b × c and A is its surface area, then AV is

990 + 9999 is divisible by

The factors of ax + bx - ay - by are __________.

The following are the expenses of a household. ItemsExpenditure(in ₹)Food4000Clothing2000Rent1500Education1500Miscellaneous1000 To draw a pie – chart, the central angle of Clothing will be

On what sum of money will the difference between the compound interest & simple interest for 2 years be equal to Rs. 25 if the rate of interest charged for both is 5% p.a.?