25365 + Interview Questions in Mathematics

1.	If a ,b and c are all integers and carry values -2, 4 and -8 respectively , then (-2×4)×-8 = -2×(4×-8) = 64 signifies which property?
Answer» If a ,b and c are all integers and carry values -2, 4 and -8 respectively , then (-2 $\times$ 4) $\times$ -8 = -2 $\times$ (4 $\times$ -8) = 64 signifies which property?

Discussion

2.	Let n(A) = m and n(B) = n. Then the total number of non-empty relations that can be defined fromA to B is(a) mn(b) nm − 1(c) mn − 1(d) 2mn − 1
Answer» Let n(A) = m and n(B) = n. Then the total number of non-empty relations that can be defined from A to B is (a) mⁿ (b) n^m − 1 (c) mn − 1 (d) 2^mn − 1

2.

Let n(A) = m and n(B) = n. Then the total number of non-empty relations that can be defined fromA to B is(a) mn(b) nm − 1(c) mn − 1(d) 2mn − 1

Answer»

Let n(A) = m and n(B) = n. Then the total number of non-empty relations that can be defined from

A to B is

(a) mⁿ

(b) n^m − 1

(c) mn − 1

(d) 2^mn − 1

Discussion

3.	Choose the correct length of BC in cm from the slider.5
Answer» Choose the correct length of $BC$ in cm from the slider. 5

Discussion

4.	Therse is a set of concentric squares. If the side of the innermost square is (root2)metres, and if the distance between the corresponding corners is 1 metre, then find the difference between the areas of the eight and the seventh square (outermost and second outermost).
Answer» Therse is a set of concentric squares. If the side of the innermost square is (root2)metres, and if the distance between the corresponding corners is 1 metre, then find the difference between the areas of the eight and the seventh square (outermost and second outermost).

Discussion

5.	Solve : 9x7−6x=15
Answer» Solve : $\frac{9 x}{7 - 6 x} = 15$

5.

Solve : 9x7−6x=15

Answer»

Solve :

$\frac{9 x}{7 - 6 x} = 15$

Discussion

6.	43. Four dice are rolled .The number of possible outcomes in which at least one dice show 6 is??
Answer» 43. Four dice are rolled .The number of possible outcomes in which at least one dice show 6 is??

Discussion

7.	Write down 7xy2×3x2y×5y4 in the exponential form.
Answer» $Write down 7 x y^{2} \times 3 x^{2} y \times 5 y^{4} in the exponential form .$

Discussion

8.	Find the single discount which is equivalent to two successive discounts of 20% and 5%
Answer» $Find the single discount which is equivalent to two successive discounts of 20 % and 5 %$

Discussion

9.	Construction of quadrilaterals when four sides and one angle are given: 5.Construct a quadrilateral ABCD in which AB = 3.8 cm, BC = 3.4cm, CD = 4.5 cm, AD = 5cm and ∠B=80∘.
Answer» Construction of quadrilaterals when four sides and one angle are given: 5.Construct a quadrilateral ABCD in which AB = 3.8 cm, BC = 3.4cm, CD = 4.5 cm, AD = 5cm and $∠ B = 80^{\circ} .$

Discussion

10.	ABCD is a quadrilateral,where AC and BD intersect at O such that OB=OD.If AB=CD,then show that-(i)ar.(DOC)=ar.(AOB);(ii)ar.(DCB)=ar.(ACB); ABCD is a paralle\log ram
Answer» ABCD is a quadrilateral,where AC and BD intersect at O such that OB=OD.If AB=CD,then show that-(i)ar.(DOC)=ar.(AOB);(ii)ar.(DCB)=ar.(ACB); ABCD is a paralle\log ram

Discussion

11.	Suppose that there are 5 red points and 4 blue points on a circle.Let m/n be the probability that a convex polygon whose vertices are among the 9 points has at least one blue vertex where m and n are relatively prime.find (m+n).
Answer» Suppose that there are 5 red points and 4 blue points on a circle.Let m/n be the probability that a convex polygon whose vertices are among the 9 points has at least one blue vertex where m and n are relatively prime.find (m+n).

Discussion

12.	Question 11Volume of a rectangular box (cuboid) with length = 2ab, breadth = 3ac and height = 2ac isa) 12a3bc2b) 12a3bcc) 12a2bcd) 2ab+3ac+2ac
Answer» Question 11 Volume of a rectangular box (cuboid) with length = 2ab, breadth = 3ac and height = 2ac is a) $12 a^{3} b c^{2}$ b) $12 a^{3} b c$ c) $12 a^{2} b c$ d) $2 a b + 3 a c + 2 a c$

Discussion

13.	Amit took a loan of ₹ 8000 from the bank for 1 year at an interest rate of 20% per annum. Calculate the amount he has to pay to the bank at the end of this period if the interest rate is compounded quarterly.
Answer» Amit took a loan of ₹ 8000 from the bank for 1 year at an interest rate of 20% per annum. Calculate the amount he has to pay to the bank at the end of this period if the interest rate is compounded quarterly.

Discussion

14.

The age group and number of persons, who donated blood in a blood donation camp is given below. Draw a pie diagram from it. Age group(Yrs) 20 - 25 25 - 30 30 - 35 35 -40 No. of persons 80 60 35 25

Answer»

The age group and number of persons, who donated blood in a blood donation camp is given below. Draw a pie diagram from it.

Age group(Yrs)	20 - 25	25 - 30	30 - 35	35 -40
No. of persons	80	60	35	25

Discussion

15.	Which of the following statement(s) is/are true?P: A tangent to a circle cut the circle at one point.Q: Chord is a line segment made up of tangent line.R: Secant line intersects the circle at 2 points.
Answer» Which of the following statement(s) is/are true? $P :$ A tangent to a circle cut the circle at one point. $Q :$ Chord is a line segment made up of tangent line. $R :$ Secant line intersects the circle at $2$ points.

Discussion

16.	What should be subtracted from −79 to get 56 ?
Answer» What should be subtracted from $\frac{- 7}{9}$ to get $\frac{5}{6}$ ?

Discussion

17.	Question 32The numbers ___ and ___ are their own reciprocal.
Answer» Question 32 The numbers ___ and ___ are their own reciprocal.

Discussion

18.	Amrit's teacher told him "Go to shop A and buy 3 chocolates. Then go to shop B and buy thrice the number of chocolates you have and eat 3 chocolates. Then go to shop C and again buy thrice the number of chocolates you have." What will be the number of chocolates left with Amrit at the end?
Answer» Amrit's teacher told him "Go to shop A and buy 3 chocolates. Then go to shop B and buy thrice the number of chocolates you have and eat 3 chocolates. Then go to shop C and again buy thrice the number of chocolates you have." What will be the number of chocolates left with Amrit at the end?

Discussion

19.	Total surface area of a box of cuboid shape is 500 sq. unit. Its breadth and height is 6 unit and 5 unit respectively. What is the length of that box ?
Answer» Total surface area of a box of cuboid shape is 500 sq. unit. Its breadth and height is 6 unit and 5 unit respectively. What is the length of that box ?

Discussion

20.	Question 9 If the 3rd and the 9th terms of an A.P. are 4 and − 8 respectively. Which term of this A.P. is zero?
Answer» Question 9 If the $3^{r d}$ and the $9^{t h}$ terms of an A.P. are 4 and − 8 respectively. Which term of this A.P. is zero?

Discussion

21.	Given that a pizza has a radius of 6 inches and has 6 slices, what is the perimeter of one of the slices of pizza?
Answer» Given that a pizza has a radius of 6 inches and has 6 slices, what is the perimeter of one of the slices of pizza?

Discussion

22.	How will be the following errors rectified?(i) Sales Book is short casted by ₹ 5,000.(ii) Sales Return Book is short casted by ₹ 500.(iii) Balance of Sales Book is carried forward short by ₹ 1,000.(iv) Balance of Sales Return Book is carried forward short by ₹ 100.
Answer» How will be the following errors rectified? (i) Sales Book is short casted by ₹ 5,000. (ii) Sales Return Book is short casted by ₹ 500. (iii) Balance of Sales Book is carried forward short by ₹ 1,000. (iv) Balance of Sales Return Book is carried forward short by ₹ 100.

Discussion

23.	X Ltd. is registered with an authorised capital of Rs 20,00,000 divided into share of Rs 10 each. It has issued 80% of its nominal capital to general public for subscription. The issued was oversubscribed to the extent of 30,000 shares. The amount payable was as follows : Rs 2 on Application, Rs 3 on Allotment and balance in equal instalment on two calls. The shares were allotted to the public on a pro-rata basis to all the applicants. A shareholder holding 4,000 shares failed to pay both call money and his shares were forfeited. All the forfeited shares were re-issued to Mr. Mohan for Rs 8 per share. Pass necessary Journal entries. OR Record the forfeiture and re-issue entries in each of the following cases: (i) A Ltd. forfeited 1,000 shares of Rs 10 each, for non-payment of rs 2 per share. These shares were re-issued at Rs 9 per share as fully paid up. (ii) D Ltd. issued share of Rs 20 each. All the shareholders have paid the full money except one shareholder holding 500 shares who failed to pay the final call money of Rs 2 per share. His shares were forfeited and 60% of its shares were re-issued at Rs 18 per share. (iii) Akki enterprises forfeited 400 shares for non-payment of Rs 3 per share (Rs 20 face value). All the forfeited shares were re-issued at Rs 22 per share.
Answer» X Ltd. is registered with an authorised capital of Rs 20,00,000 divided into share of Rs 10 each. It has issued 80 $%$ of its nominal capital to general public for subscription. The issued was oversubscribed to the extent of 30,000 shares. The amount payable was as follows : Rs 2 on Application, Rs 3 on Allotment and balance in equal instalment on two calls. The shares were allotted to the public on a pro-rata basis to all the applicants. A shareholder holding 4,000 shares failed to pay both call money and his shares were forfeited. All the forfeited shares were re-issued to Mr. Mohan for Rs 8 per share. Pass necessary Journal entries. OR Record the forfeiture and re-issue entries in each of the following cases: (i) A Ltd. forfeited 1,000 shares of Rs 10 each, for non-payment of rs 2 per share. These shares were re-issued at Rs 9 per share as fully paid up. (ii) D Ltd. issued share of Rs 20 each. All the shareholders have paid the full money except one shareholder holding 500 shares who failed to pay the final call money of Rs 2 per share. His shares were forfeited and 60 $%$ of its shares were re-issued at Rs 18 per share. (iii) Akki enterprises forfeited 400 shares for non-payment of Rs 3 per share (Rs 20 face value). All the forfeited shares were re-issued at Rs 22 per share.

23.

X Ltd. is registered with an authorised capital of Rs 20,00,000 divided into share of Rs 10 each. It has issued 80% of its nominal capital to general public for subscription. The issued was oversubscribed to the extent of 30,000 shares. The amount payable was as follows : Rs 2 on Application, Rs 3 on Allotment and balance in equal instalment on two calls. The shares were allotted to the public on a pro-rata basis to all the applicants. A shareholder holding 4,000 shares failed to pay both call money and his shares were forfeited. All the forfeited shares were re-issued to Mr. Mohan for Rs 8 per share. Pass necessary Journal entries. OR Record the forfeiture and re-issue entries in each of the following cases: (i) A Ltd. forfeited 1,000 shares of Rs 10 each, for non-payment of rs 2 per share. These shares were re-issued at Rs 9 per share as fully paid up. (ii) D Ltd. issued share of Rs 20 each. All the shareholders have paid the full money except one shareholder holding 500 shares who failed to pay the final call money of Rs 2 per share. His shares were forfeited and 60% of its shares were re-issued at Rs 18 per share. (iii) Akki enterprises forfeited 400 shares for non-payment of Rs 3 per share (Rs 20 face value). All the forfeited shares were re-issued at Rs 22 per share.

Answer»

X Ltd. is registered with an authorised capital of Rs 20,00,000 divided into share of Rs 10 each. It has issued 80 $%$ of its nominal capital to general public for subscription. The issued was oversubscribed to the extent of 30,000 shares. The amount payable was as follows : Rs 2 on Application, Rs 3 on Allotment and balance in equal instalment on two calls. The shares were allotted to the public on a pro-rata basis to all the applicants. A shareholder holding 4,000 shares failed to pay both call money and his shares were forfeited. All the forfeited shares were re-issued to Mr. Mohan for Rs 8 per share. Pass necessary Journal entries.

OR

Record the forfeiture and re-issue entries in each of the following cases:

(i) A Ltd. forfeited 1,000 shares of Rs 10 each, for non-payment of rs 2 per share. These shares were re-issued at Rs 9 per share as fully paid up.

(ii) D Ltd. issued share of Rs 20 each. All the shareholders have paid the full money except one shareholder holding 500 shares who failed to pay the final call money of Rs 2 per share. His shares were forfeited and 60 $%$ of its shares were re-issued at Rs 18 per share.

(iii) Akki enterprises forfeited 400 shares for non-payment of Rs 3 per share (Rs 20 face value). All the forfeited shares were re-issued at Rs 22 per share.

Discussion

24.	What will be the unit digit of the square of 27?
Answer» What will be the unit digit of the square of 27?

Discussion

25.	What are the angles of an isosceles right angled triangles?
Answer» What are the angles of an isosceles right angled triangles?

Discussion

26.	What will be the compound interest (in₹) on ₹8,000 at 20% per annum for 9 months compounded quarterly?1261
Answer» What will be the compound interest (in ₹) on ₹8,000 at $20 %$ per annum for 9 months compounded quarterly? 1261

Discussion

27.	If (√1024)3=8x, then x is ________.
Answer» $If {(\sqrt{1024})}^{3} = 8^{x}, then x is$ ________.

Discussion

28.	Factorise the following expressions (i) 7x − 42 (ii) 6p − 12q (iii) 7a2 + 14a (iv) −16z + 20z3 (v) 20l2m + 30 alm (vi) 5x2y − 15xy2 (vii) 10a2 − 15b2 + 20c2 (viii) −4a2 + 4ab − 4 ca (ix) x2yz + xy2z + xyz2 (x) ax2y + bxy2 + cxyz
Answer» Factorise the following expressions (i) 7x − 42 (ii) 6p − 12q (iii) 7a² + 14a (iv) −16z + 20z³ (v) 20l²m + 30 alm (vi) 5x²y − 15xy² (vii) 10a² − 15b² + 20c² (viii) −4a² + 4ab − 4 ca (ix) x²yz + xy²z + xyz² (x) ax²y + bxy² + cxyz

28.

Factorise the following expressions (i) 7x − 42 (ii) 6p − 12q (iii) 7a2 + 14a (iv) −16z + 20z3 (v) 20l2m + 30 alm (vi) 5x2y − 15xy2 (vii) 10a2 − 15b2 + 20c2 (viii) −4a2 + 4ab − 4 ca (ix) x2yz + xy2z + xyz2 (x) ax2y + bxy2 + cxyz

Answer»

Factorise the following
expressions

(i) 7x −
42

(ii) 6p −
12q

(iii) 7a²
+ 14a

(iv) −16z
+ 20z³

(v) 20l²m
+ 30 alm

(vi) 5x²y
− 15xy²

(vii) 10a²
− 15b² + 20c²

(viii) −4a²
+ 4ab − 4 ca

(ix) x²yz
+ xy²z + xyz²

(x) ax²y
+ bxy² + cxyz

Discussion

29.	square root of 3969
Answer» square root of 3969

Discussion

30.	31. What is meant by cross section
Answer» 31. What is meant by cross section

Discussion

31.	Question 17The monthly income of 100 families are given as below ?Income (in Rs)Number of families0−500085000−100002610000−150004115000−200001620000−25000325000−30000330000−35000235000−400001Calculate the modal income.
Answer» Question 17 The monthly income of 100 families are given as below ? $\begin{matrix} I n c o m e (i n R s) & N u m b e r o f f a m i l i e s 0 - 5000 & 8 5000 - 10000 & 26 10000 - 15000 & 41 15000 - 20000 & 16 20000 - 25000 & 3 25000 - 30000 & 3 30000 - 35000 & 2 35000 - 40000 & 1 \end{matrix}$ Calculate the modal income.

Discussion

32.	Question 71Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:6 times q is subtracted from the smallest two-digit number.
Answer» Question 71 Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement: 6 times q is subtracted from the smallest two-digit number.

32.

Question 71Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:6 times q is subtracted from the smallest two-digit number.

Answer»

Question 71

Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:

6 times q is subtracted from the smallest two-digit number.

Discussion

33.	94. Show that the triangle formed by joining the mid points of the sides of an equilateral triangle are also equilateral
Answer» 94. Show that the triangle formed by joining the mid points of the sides of an equilateral triangle are also equilateral

Discussion

34.	Question 2(i) Divide the given polynomial by the given monomial (5x2−6x)÷3x
Answer» Question 2(i) Divide the given polynomial by the given monomial $(5 x^{2} - 6 x) \div 3 x$

Discussion

35.	If lengths of three sides are given, then to construct a quadrilateral we need
Answer» If lengths of three sides are given, then to construct a quadrilateral we need

Discussion

36.	Find the followingsquares by suing the identities.(i) (b −7)2 (ii) (xy + 3z)2 (iii) (6x2− 5y)2(iv) (v) (0.4p− 0.5q)2 (vi) (2xy + 5y)2
Answer» Find the following squares by suing the identities. (i) (b − 7)²(ii) (xy + 3z)²(iii) (6x² − 5y)² (iv) (v) (0.4p − 0.5q)²(vi) (2xy + 5y)²

36.

Find the followingsquares by suing the identities.(i) (b −7)2 (ii) (xy + 3z)2 (iii) (6x2− 5y)2(iv) (v) (0.4p− 0.5q)2 (vi) (2xy + 5y)2

Answer»

Find the following
squares by suing the identities.

(i) (b −
7)²(ii) (xy + 3z)²(iii) (6x²
− 5y)²

(iv) (v) (0.4p
− 0.5q)²(vi) (2xy + 5y)²

Discussion

37.	value of \overset∧ i+\overset∧ jis
Answer» value of \overset∧ i+\overset∧ jis

Discussion

38.	Question 1Find and correct the errors in the statement : 4(x−5)=4x−5
Answer» Question 1 Find and correct the errors in the statement : $4 (x - 5) = 4 x - 5$

Discussion

39.	Find the multiplicative inverse of 10−10.
Answer» Find the multiplicative inverse of $10^{- 10}$ .

Discussion

40.	Find the smallest number by which 27783 must be multipled to get a perfect square number.
Answer» Find the smallest number by which 27783 must be multipled to get a perfect square number.

Discussion

41.	Question 85 (xii) Expand the following, using suitable identities. (x2+y2)(x2−y2)
Answer» Question 85 (xii) Expand the following, using suitable identities. $(x^{2} + y^{2}) (x^{2} - y^{2})$

41.

Question 85 (xii) Expand the following, using suitable identities. (x2+y2)(x2−y2)

Answer»

Question 85 (xii)

Expand the following, using suitable identities.

$(x^{2} + y^{2}) (x^{2} - y^{2})$

Discussion

42.	A block of ice 4m has a hole through it and is floating in a lake The minimum rope riquired to scoop a bucket full of water through the hole is (ρ_{ice}=0.9CGS unit) a)40cm b)24cm c)20cm d)360cm
Answer» A block of ice 4m has a hole through it and is floating in a lake The minimum rope riquired to scoop a bucket full of water through the hole is (ρ_{ice}=0.9CGS unit) a)40cm b)24cm c)20cm d)360cm

Discussion

43.	On what sum of money does the difference between the simple interest and compound interest in 2 years at 5% is Rs. 15
Answer» On what sum of money does the difference between the simple interest and compound interest in $2$ years at $5 %$ is $R s . 15$

Discussion

44.	The distance between parallel lines 3x+4y- 5 =0 and 6x + 8y -15 =0 is
Answer» The distance between parallel lines 3x+4y- 5 =0 and 6x + 8y -15 =0 is

Discussion

45.	Calculate the amount and compound interest on(a ) Rs 10800 for 3 years at 1212% per annum compounded annually.(b) Rs 18000 for 212 years at 10% per annum compounded annually.(c) Rs. 62500 for 112 years at 8% per annum compounded half yearly.(d) Rs. 8000 for 1 year at 9% per annum compound half yearly.(You could use the year by year calculation using SI formula to verify)(e) Rs. 10000 for 1 year at 8% per annum compounded half yearly.
Answer» Calculate the amount and compound interest on (a ) $R s 10800$ for $3$ years at $12 \frac{1}{2} %$ per annum compounded annually. (b) $R s 18000$ for $2 \frac{1}{2}$ years at $10 %$ per annum compounded annually. (c) $R s . 62500$ for $1 \frac{1}{2}$ years at $8 %$ per annum compounded half yearly. (d) $R s . 8000$ for $1$ year at $9 %$ per annum compound half yearly. (You could use the year by year calculation using SI formula to verify) (e) $R s . 10000$ for $1$ year at $8 %$ per annum compounded half yearly.

45.

Calculate the amount and compound interest on(a ) Rs 10800 for 3 years at 1212% per annum compounded annually.(b) Rs 18000 for 212 years at 10% per annum compounded annually.(c) Rs. 62500 for 112 years at 8% per annum compounded half yearly.(d) Rs. 8000 for 1 year at 9% per annum compound half yearly.(You could use the year by year calculation using SI formula to verify)(e) Rs. 10000 for 1 year at 8% per annum compounded half yearly.

Answer»

Calculate the amount and compound interest on

(a ) $R s 10800$ for $3$ years at $12 \frac{1}{2} %$ per annum compounded annually.

(b) $R s 18000$ for $2 \frac{1}{2}$ years at $10 %$ per annum compounded annually.

(c) $R s . 62500$ for $1 \frac{1}{2}$ years at $8 %$ per annum compounded half yearly.

(d) $R s . 8000$ for $1$ year at $9 %$ per annum compound half yearly.

(You could use the year by year calculation using SI formula to verify)

(e) $R s . 10000$ for $1$ year at $8 %$ per annum compounded half yearly.

Discussion

46.	Question 107 Solve the following question: Find the least number of four digits that is a perfect square.
Answer» Question 107 Solve the following question: Find the least number of four digits that is a perfect square.

46.

Question 107 Solve the following question: Find the least number of four digits that is a perfect square.

Answer»

Question 107

Solve the following question:

Find the least number of four digits that is a perfect square.

Discussion

47.	Which of the following is a circle graph representing different flavors of ice-cream in an ice-cream parlor?V - Vanilla C - Chocolate M - Mango
Answer» Which of the following is a circle graph representing different flavors of ice-cream in an ice-cream parlor? V - Vanilla C - Chocolate M - Mango

47.

Which of the following is a circle graph representing different flavors of ice-cream in an ice-cream parlor?V - Vanilla C - Chocolate M - Mango

Answer»

Which of the following is a circle graph representing different flavors of ice-cream in an ice-cream parlor?

V - Vanilla

C - Chocolate

M - Mango

Discussion

48.	The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to its base. If its volume is 127 of the volume of the given cone, at what height above the base is the section made?
Answer» The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to its base. If its volume is $\frac{1}{27}$ of the volume of the given cone, at what height above the base is the section made?

Discussion

49.	Question 10 The net shown below can be folded into the shape of a cube. The face marked with the letter L is opposite to the face marked with which letter? (a) M (b) N (c) Q (d) O
Answer» Question 10 The net shown below can be folded into the shape of a cube. The face marked with the letter L is opposite to the face marked with which letter? (a) M (b) N (c) Q (d) O

Discussion

50.	Write logical expressions corresponding to the following statements in Python and evaluate the expressions (assuming variables num1, num2, num3, first, middle, last are already having meaningful values):a) The sum of 20 and –10 is less than 12.b) num3 is not more than 24c) 6.75 is between the values of integers num1 and num2.d) The string ‘middle’ is larger than the string ‘first’ and smaller than the string ‘last’e) List Stationery is empty
Answer» Write logical expressions corresponding to the following statements in Python and evaluate the expressions (assuming variables num1, num2, num3, first, middle, last are already having meaningful values): a) The sum of 20 and –10 is less than 12. b) num3 is not more than 24 c) 6.75 is between the values of integers num1 and num2. d) The string ‘middle’ is larger than the string ‘first’ and smaller than the string ‘last’ e) List Stationery is empty

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If a ,b and c are all integers and carry values -2, 4 and -8 respectively , then (-2×4)×-8 = -2×(4×-8) = 64 signifies which property?

Let n(A) = m and n(B) = n. Then the total number of non-empty relations that can be defined fromA to B is(a) mn(b) nm − 1(c) mn − 1(d) 2mn − 1

Choose the correct length of BC in cm from the slider.5

Therse is a set of concentric squares. If the side of the innermost square is (root2)metres, and if the distance between the corresponding corners is 1 metre, then find the difference between the areas of the eight and the seventh square (outermost and second outermost).

Solve : 9x7−6x=15

43. Four dice are rolled .The number of possible outcomes in which at least one dice show 6 is??

Write down 7xy2×3x2y×5y4 in the exponential form.

Find the single discount which is equivalent to two successive discounts of 20% and 5%

Construction of quadrilaterals when four sides and one angle are given: 5.Construct a quadrilateral ABCD in which AB = 3.8 cm, BC = 3.4cm, CD = 4.5 cm, AD = 5cm and ∠B=80∘.

ABCD is a quadrilateral,where AC and BD intersect at O such that OB=OD.If AB=CD,then show that-(i)ar.(DOC)=ar.(AOB);(ii)ar.(DCB)=ar.(ACB); ABCD is a paralle\log ram

Suppose that there are 5 red points and 4 blue points on a circle.Let m/n be the probability that a convex polygon whose vertices are among the 9 points has at least one blue vertex where m and n are relatively prime.find (m+n).

Question 11Volume of a rectangular box (cuboid) with length = 2ab, breadth = 3ac and height = 2ac isa) 12a3bc2b) 12a3bcc) 12a2bcd) 2ab+3ac+2ac

Amit took a loan of ₹ 8000 from the bank for 1 year at an interest rate of 20% per annum. Calculate the amount he has to pay to the bank at the end of this period if the interest rate is compounded quarterly.

The age group and number of persons, who donated blood in a blood donation camp is given below. Draw a pie diagram from it. Age group(Yrs) 20 - 25 25 - 30 30 - 35 35 -40 No. of persons 80 60 35 25

Which of the following statement(s) is/are true?P: A tangent to a circle cut the circle at one point.Q: Chord is a line segment made up of tangent line.R: Secant line intersects the circle at 2 points.

What should be subtracted from −79 to get 56 ?

Question 32The numbers ___ and ___ are their own reciprocal.

Amrit's teacher told him "Go to shop A and buy 3 chocolates. Then go to shop B and buy thrice the number of chocolates you have and eat 3 chocolates. Then go to shop C and again buy thrice the number of chocolates you have." What will be the number of chocolates left with Amrit at the end?

Total surface area of a box of cuboid shape is 500 sq. unit. Its breadth and height is 6 unit and 5 unit respectively. What is the length of that box ?

Question 9 If the 3rd and the 9th terms of an A.P. are 4 and − 8 respectively. Which term of this A.P. is zero?

Given that a pizza has a radius of 6 inches and has 6 slices, what is the perimeter of one of the slices of pizza?

How will be the following errors rectified?(i) Sales Book is short casted by ₹ 5,000.(ii) Sales Return Book is short casted by ₹ 500.(iii) Balance of Sales Book is carried forward short by ₹ 1,000.(iv) Balance of Sales Return Book is carried forward short by ₹ 100.

What will be the unit digit of the square of 27?

What are the angles of an isosceles right angled triangles?

What will be the compound interest (in₹) on ₹8,000 at 20% per annum for 9 months compounded quarterly?1261

If (√1024)3=8x, then x is ________.

Factorise the following expressions (i) 7x − 42 (ii) 6p − 12q (iii) 7a2 + 14a (iv) −16z + 20z3 (v) 20l2m + 30 alm (vi) 5x2y − 15xy2 (vii) 10a2 − 15b2 + 20c2 (viii) −4a2 + 4ab − 4 ca (ix) x2yz + xy2z + xyz2 (x) ax2y + bxy2 + cxyz

square root of 3969

31. What is meant by cross section

Question 17The monthly income of 100 families are given as below ?Income (in Rs)Number of families0−500085000−100002610000−150004115000−200001620000−25000325000−30000330000−35000235000−400001Calculate the modal income.

Question 71Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:6 times q is subtracted from the smallest two-digit number.

94. Show that the triangle formed by joining the mid points of the sides of an equilateral triangle are also equilateral

Question 2(i) Divide the given polynomial by the given monomial (5x2−6x)÷3x

If lengths of three sides are given, then to construct a quadrilateral we need

Find the followingsquares by suing the identities.(i) (b −7)2 (ii) (xy + 3z)2 (iii) (6x2− 5y)2(iv) (v) (0.4p− 0.5q)2 (vi) (2xy + 5y)2

value of \overset∧ i+\overset∧ jis

Question 1Find and correct the errors in the statement : 4(x−5)=4x−5

Find the multiplicative inverse of 10−10.

Find the smallest number by which 27783 must be multipled to get a perfect square number.

Question 85 (xii) Expand the following, using suitable identities. (x2+y2)(x2−y2)

A block of ice 4m has a hole through it and is floating in a lake The minimum rope riquired to scoop a bucket full of water through the hole is (ρ_{ice}=0.9CGS unit) a)40cm b)24cm c)20cm d)360cm

On what sum of money does the difference between the simple interest and compound interest in 2 years at 5% is Rs. 15

The distance between parallel lines 3x+4y- 5 =0 and 6x + 8y -15 =0 is

Question 107 Solve the following question: Find the least number of four digits that is a perfect square.

Which of the following is a circle graph representing different flavors of ice-cream in an ice-cream parlor?V - Vanilla C - Chocolate M - Mango​​

The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to its base. If its volume is 127 of the volume of the given cone, at what height above the base is the section made?

Question 10 The net shown below can be folded into the shape of a cube. The face marked with the letter L is opposite to the face marked with which letter? (a) M (b) N (c) Q (d) O

Question 32The numbers _ and _ are their own reciprocal.

Which of the following is a circle graph representing different flavors of ice-cream in an ice-cream parlor?V - Vanilla C - Chocolate M - Mango