32581 + Interview Questions in Mathematics

1.	If sec θ = 13/5 then tan θ is
Answer» If sec θ = ¹³/₅ then tan θ is

Discussion

2.	Find the amount of water displaced by a solid spherical ball of diameter 4.2 m, when it is completely immersed in water.
Answer» Find the amount of water displaced by a solid spherical ball of diameter $4.2 m,$ when it is completely immersed in water.

Discussion

3.	Can you please give me a mathematical proof of the Euclid's Division Algorith to find the HCF? I mean to say that a proof to show why it works?
Answer» Can you please give me a mathematical proof of the Euclid's Division Algorith to find the HCF? I mean to say that a proof to show why it works?

Discussion

4.	If the ratio of the fifth and tenth term of an A.P is 1:2, then find the ratio of the first term to the common difference of the given A.P?
Answer» If the ratio of the fifth and tenth term of an A.P is 1:2, then find the ratio of the first term to the common difference of the given A.P?

Discussion

5.	A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was Rs 750. The mathematical representation to find out the number of toys produced on that day is:
Answer» A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was Rs 750. The mathematical representation to find out the number of toys produced on that day is:

Discussion

6.	The three zeroes of the polynomial 2x3 + 5x2 - 28x - 15 _____
Answer» The three zeroes of the polynomial 2x³ + 5x² - 28x - 15 _____

Discussion

7.	Question 7 (iv) Solve the following pair of linear equations. (a−b)x+(a+b)y=a2−2ab−b2 (a+b)(x+y)=a2+b2
Answer» Question 7 (iv) Solve the following pair of linear equations. $(a - b) x + (a + b) y = a^{2} - 2 a b - b^{2}$ $(a + b) (x + y) = a^{2} + b^{2}$

Discussion

8.	Question 3 (ii) On comparing the ratios a1a2, b1b2 and c1c2 find out whether the following pair of linear equations are consistent, or inconsistent. 2x - 3y = 8 ; 4x - 6y = 9
Answer» Question 3 (ii) On comparing the ratios $\frac{a_{1}}{a_{2}}$ , $\frac{b_{1}}{b_{2}}$ and $\frac{c_{1}}{c_{2}}$ find out whether the following pair of linear equations are consistent, or inconsistent. 2x - 3y = 8 ; 4x - 6y = 9

Discussion

9.	Question 1 (ix) Without actually performing the long division, state whether 3550 will have a terminating decimal expansion or a non-terminating repeating decimal expansion.
Answer» Question 1 (ix) Without actually performing the long division, state whether $\frac{35}{50}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Discussion

10.	Question 4 In the figure, QRQS=QTPR and ∠1=∠2. Show that ΔPQS∼ΔTQR.
Answer» Question 4 In the figure, $\frac{Q R}{Q S} = \frac{Q T}{P R} a n d$ $∠ 1 = ∠ 2$ . $S h o w t h a t Δ P Q S \sim Δ T Q R$ .

Discussion

11.	The ___ of two or more numbers is the least number which is exactly divisible by those numbers.
Answer» The ___ of two or more numbers is the least number which is exactly divisible by those numbers.

Discussion

12.	Solve the following systems of equations: 5x−1+1y−2=2 6x−1−3y−2=1
Answer» Solve the following systems of equations: $\frac{5}{x - 1} + \frac{1}{y - 2} = 2$ $\frac{6}{x - 1} - \frac{3}{y - 2} = 1$

12.

Solve the following systems of equations: 5x−1+1y−2=2 6x−1−3y−2=1

Answer»

Solve the following systems of equations:

$\frac{5}{x - 1} + \frac{1}{y - 2} = 2$

$\frac{6}{x - 1} - \frac{3}{y - 2} = 1$

Discussion

13.	Two dice are rolled together. Find the probability of getting such numbers on two dice whose product is a perfect square.
Answer» Two dice are rolled together. Find the probability of getting such numbers on two dice whose product is a perfect square.

Discussion

14.	The number 3.24636363 .... is (a) an integer (b) a rational number (c) an irrational number (d) none of these
Answer» The number 3.24636363 .... is (a) an integer (b) a rational number (c) an irrational number (d) none of these

14.

The number 3.24636363 .... is (a) an integer (b) a rational number (c) an irrational number (d) none of these

Answer»

The number 3.24636363 .... is

(a) an integer (b) a rational number

(c) an irrational number (d) none of these

Discussion

15.	Question 3 (ii) Is 0.120120012000120000... rational or not. If it is rational, and of the form pq, what can you say about the prime factors of q?
Answer» Question 3 (ii) Is 0.120120012000120000... rational or not. If it is rational, and of the form $\frac{p}{q}$ , what can you say about the prime factors of q?

Discussion

16.	From the following particulars, prepare a bank reconciliation statement showing the balance as per cash book on December 31, 2010. (i) Two cheques of Rs. 2,000 and Rs. 5,000 were paid into the bank in October 2010 but were not credited by the bank in the month of December. (ii) A cheque of Rs. 800 which was received from a customer was entered in the bank column of the cash book in December 2009 but was omitted to be banked in December 2009. (iii) Cheques for Rs. 10,000 were issued into the bank in January 2010 but not debited by the bank on December 31, 2010. (iv) Interest on Investment Rs. 1,000 collected by bank appeared in the passbook. Balance as per passbook was Rs. 50,000.
Answer» From the following particulars, prepare a bank reconciliation statement showing the balance as per cash book on December 31, 2010. (i) Two cheques of Rs. 2,000 and Rs. 5,000 were paid into the bank in October 2010 but were not credited by the bank in the month of December. (ii) A cheque of Rs. 800 which was received from a customer was entered in the bank column of the cash book in December 2009 but was omitted to be banked in December 2009. (iii) Cheques for Rs. 10,000 were issued into the bank in January 2010 but not debited by the bank on December 31, 2010. (iv) Interest on Investment Rs. 1,000 collected by bank appeared in the passbook. Balance as per passbook was Rs. 50,000.

16.

From the following particulars, prepare a bank reconciliation statement showing the balance as per cash book on December 31, 2010. (i) Two cheques of Rs. 2,000 and Rs. 5,000 were paid into the bank in October 2010 but were not credited by the bank in the month of December. (ii) A cheque of Rs. 800 which was received from a customer was entered in the bank column of the cash book in December 2009 but was omitted to be banked in December 2009. (iii) Cheques for Rs. 10,000 were issued into the bank in January 2010 but not debited by the bank on December 31, 2010. (iv) Interest on Investment Rs. 1,000 collected by bank appeared in the passbook. Balance as per passbook was Rs. 50,000.

Answer»

From the following particulars, prepare a bank reconciliation statement showing the balance as per cash book on December 31, 2010.

(i) Two cheques of Rs. 2,000 and Rs. 5,000 were paid into the bank in October 2010 but were not credited by the bank in the month of December.

(ii) A cheque of Rs. 800 which was received from a customer was entered in the bank column of the cash book in December 2009 but was omitted to be banked in December 2009.

(iii) Cheques for Rs. 10,000 were issued into the bank in January 2010 but not debited by the bank on December 31, 2010.

(iv) Interest on Investment Rs. 1,000 collected by bank appeared in the passbook.

Balance as per passbook was Rs. 50,000.

Discussion

17.	Compute the modal value for the following frequency distribution x : - 95 105 115 125 135 145 155 165 175 f : - 4 2 18 22 21 19 10 3 2
Answer» Compute the modal value for the following frequency distribution x : - 95 105 115 125 135 145 155 165 175 f : - 4 2 18 22 21 19 10 3 2

Discussion

18.	Parvinder sold a watch at a loss of 5%.If he had sold that watch for ₹ 27 more,he would have gained 7%.Find the cost price of the watch.
Answer» Parvinder sold a watch at a loss of 5%.If he had sold that watch for ₹ 27 more,he would have gained 7%.Find the cost price of the watch.

Discussion

19.	Verify weather 2,3, and 1/2 the zeroes of the polynomial 2x-11x+17x-6
Answer» Verify weather 2,3, and 1/2 the zeroes of the polynomial 2x-11x+17x-6

Discussion

20.	TWO POSTS ARE "k" METRE APART AND THE HEIGHT OF ONE IS DOUBLE THAT OF OTHER. IF FROM THE MID-POINT OF THE LINE SEGMENT JOINING THEIR FEET, AN OBSERVER FINDS THE ANGLES OF ELEVATION OF THEIR TOPS TO BE COMPLEMENTARY, THEN FIND THE HEIGHT OF THE SHORTED POST.
Answer» TWO POSTS ARE "k" METRE APART AND THE HEIGHT OF ONE IS DOUBLE THAT OF OTHER. IF FROM THE MID-POINT OF THE LINE SEGMENT JOINING THEIR FEET, AN OBSERVER FINDS THE ANGLES OF ELEVATION OF THEIR TOPS TO BE COMPLEMENTARY, THEN FIND THE HEIGHT OF THE SHORTED POST.

Discussion

21.	The lengths of three unequal edges of a rectangular solid block are in G.P. The volume of the block is 216 and the total surface area is 312. The length of the longest edge is
Answer» The lengths of three unequal edges of a rectangular solid block are in G.P. The volume of the block is 216 and the total surface area is 312. The length of the longest edge is

Discussion

22.	In the figure given AD is the diameter of the circle. If ∠BCD = 1300. Calculate ∠ADB.
Answer» In the figure given AD is the diameter of the circle. If ∠BCD = 130⁰. Calculate ∠ADB.

22.

In the figure given AD is the diameter of the circle. If ∠BCD = 1300. Calculate ∠ADB.

Answer»

In the figure given AD is the diameter of the circle. If ∠BCD = 130⁰. Calculate ∠ADB.

Discussion

23.	Mr. Arun Pandit invests Rs 12000 in a company paying dividend of 8% per annum when a share of face value Rs 100 stands at Rs 150. i) What is his annual income? ii) He sells 50% of his shares when the price rises to Rs 180. What is his gain on his transaction?
Answer» Mr. Arun Pandit invests Rs 12000 in a company paying dividend of 8% per annum when a share of face value Rs 100 stands at Rs 150. i) What is his annual income? ii) He sells 50% of his shares when the price rises to Rs 180. What is his gain on his transaction?

23.

Mr. Arun Pandit invests Rs 12000 in a company paying dividend of 8% per annum when a share of face value Rs 100 stands at Rs 150. i) What is his annual income? ii) He sells 50% of his shares when the price rises to Rs 180. What is his gain on his transaction?

Answer»

Mr. Arun Pandit invests Rs 12000 in a company paying dividend of 8% per annum when a share of face value Rs 100 stands at Rs 150.

i) What is his annual income?

ii) He sells 50% of his shares when the price rises to Rs 180. What is his gain on his transaction?

Discussion

24.	The HCF of two numbers is 13 and LCM is 1001. Find the larger number.
Answer» The HCF of two numbers is 13 and LCM is 1001. Find the larger number.

Discussion

25.	Solve the following quadratic equations by factorization method: [3 MARKS] 1a+b+x=1a+1b+1x,a+b≠0
Answer» Solve the following quadratic equations by factorization method: [3 MARKS] $\frac{1}{a + b + x} = \frac{1}{a} + \frac{1}{b} + \frac{1}{x}, a + b \neq 0$

Discussion

26.	X- coordinate of the point that divides line segment joining A(2, 4) and B(6, 8) in the ratio 2:1 is
Answer» X- coordinate of the point that divides line segment joining A(2, 4) and B(6, 8) in the ratio 2:1 is

Discussion

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

28.	An ice cream cone has a radius of 3 cm and a height of 12 cm. A half scoop of ice cream is placed on the cone. If the ice cream melts, will it fit into the cone? [2 MARKS]
Answer» An ice cream cone has a radius of 3 cm and a height of 12 cm. A half scoop of ice cream is placed on the cone. If the ice cream melts, will it fit into the cone? [2 MARKS]

Discussion

29.	Two tangents are drawn from an external point P to the circle with centre O which meet the circle at Q and R respectively. Which of the following is true?
Answer» Two tangents are drawn from an external point P to the circle with centre O which meet the circle at Q and R respectively. Which of the following is true?

Discussion

30.	A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm in a diagram. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length? [3 MARKS]
Answer» A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm in a diagram. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length? [3 MARKS]

Discussion

31.	For any acute angle, tanθ.cotθ is equal to
Answer» For any acute angle, tanθ.cotθ is equal to

Discussion

32.	Question 3(ii) Find 49÷5
Answer» Question 3(ii) Find $\frac{4}{9} \div 5$

Discussion

33.	A line that touches a circle at only one point is called ________.
Answer» A line that touches a circle at only one point is called ________.

Discussion

34.	AE is the bisector of the exterior ∠CAD meeting BC produced in E. If AB=10 cm, AC=6 cm and BC=12 cm, find CE.
Answer» $A E$ is the bisector of the exterior $∠ C A D$ meeting $B C$ produced in $E$ . If $A B = 10 c m$ , $A C = 6 c m$ and $B C = 12 c m$ , find $C E$ .

34.

AE is the bisector of the exterior ∠CAD meeting BC produced in E. If AB=10 cm, AC=6 cm and BC=12 cm, find CE.

Answer»

$A E$ is the bisector of the exterior $∠ C A D$ meeting $B C$ produced in $E$ . If $A B = 10 c m$ , $A C = 6 c m$ and $B C = 12 c m$ , find $C E$ .

Discussion

35.	The point on the x-axis which is equidistant from (2, –5) and (–2, 9) is
Answer» The point on the x-axis which is equidistant from (2, –5) and (–2, 9) is

Discussion

36.	Determine whether the following points are collinear or not: P (1,5), Q (2,3) and R (-2, -11)
Answer» Determine whether the following points are collinear or not: P (1,5), Q (2,3) and R (-2, -11)

Discussion

37.	In the given figure, ∠CAB=90o and AD⊥BC. Show that ΔBDA∼ΔBAC. If AC = 75 cm, AB = 1 m and BC = 1.25 m, find AD.
Answer» In the given figure, $∠ C A B = 90^{o}$ and $A D ⊥ B C$ . Show that $Δ B D A \sim Δ B A C$ . If AC = 75 cm, AB = 1 m and BC = 1.25 m, find AD.

37.

In the given figure, ∠CAB=90o and AD⊥BC. Show that ΔBDA∼ΔBAC. If AC = 75 cm, AB = 1 m and BC = 1.25 m, find AD.

Answer»

In the given figure, $∠ C A B = 90^{o}$ and $A D ⊥ B C$ . Show that $Δ B D A \sim Δ B A C$ . If AC = 75 cm, AB = 1 m and BC = 1.25 m, find AD.

Discussion

38.	Question 7 (ii) Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of triangle ABC. (b) Find the coordinates of the point P on AD such that AP : PD = 2 : 1.
Answer» Question 7 (ii) Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of triangle ABC. (b) Find the coordinates of the point P on AD such that AP : PD = 2 : 1.

Discussion

39.	Question 10 (iii) CD and GH are respectively the bisectors of angleACB and ∠EGF such that D and H lie on sides AB and FE of ΔABC and ΔEFG respectively. If ΔABC∼ΔFEG, Show that (iii)ΔDCA∼ΔHGF
Answer» Question 10 (iii) CD and GH are respectively the bisectors of $a n g l e A C B$ and $∠ E G F$ such that D and H lie on sides AB and FE of $Δ A B C$ and $Δ E F G$ respectively. If $Δ A B C \sim Δ F E G$ , Show that $(i i i) Δ D C A \sim Δ H G F$

Discussion

40.	Condition satisfied by 2x +3y = -5 and 4x +6y -10 = 0 is
Answer» Condition satisfied by 2x +3y = -5 and 4x +6y -10 = 0 is

Discussion

41.	Question 3 6=z +2
Answer» Question 3 6=z +2

Discussion

42.	A triangle similar to given ΔABCwith sides equal to 34 of the sides of ΔABC is constructed. BC′BC is equal to____.
Answer» A triangle similar to given $Δ A B C$ with sides equal to $\frac{3}{4}$ of the sides of $Δ A B C$ is constructed. $\frac{B C^{'}}{B C}$ is equal to____.

Discussion

43.	If the first, second and the last terms of an AP are a, b, c respectively, then the sum is
Answer» If the first, second and the last terms of an AP are a, b, c respectively, then the sum is

Discussion

44.	Draw a pair of tangents of radius 2 cm that are inclined to each other at an angle of 90 degrees.
Answer» Draw a pair of tangents of radius $2 c m$ that are inclined to each other at an angle of $90$ degrees.

Discussion

45.	A sum of Rs 1600 gives a simple interest of Rs 252 in the time period of 2 years and 4 months. What is the rate of interest per annum?
Answer» A sum of Rs 1600 gives a simple interest of Rs 252 in the time period of 2 years and 4 months. What is the rate of interest per annum?

Discussion

46.	The given figure represents a right square pyramid crystal in a random Joe’s collection. Which best describes all the faces of the pyramid?
Answer» The given figure represents a right square pyramid crystal in a random Joe’s collection. Which best describes all the faces of the pyramid?

Discussion

47.	In a class of 55, 31 students like maths and 29 like science .It is given that all the students like at least one of the two.Then, find the number of students who like both the subjects.
Answer» In a class of 55, 31 students like maths and 29 like science .It is given that all the students like at least one of the two.Then, find the number of students who like both the subjects.

Discussion

48.	Arrange the following equations based on their discriminant value such that D>0 is on top & D<0 is at bottom.
Answer» Arrange the following equations based on their discriminant value such that D>0 is on top & D<0 is at bottom.

Discussion

49.	List-II gives distance between pair of points given in List-I, match them correctly. List−I List II(P)(−5,7),(−1,3)(1)5(Q)(5,6),(1,3)(2)√8(R)(√3+1,1),(0,√3)(3)√6(S)(0,0),(−√3,√3)(4)4√2
Answer» List-II gives distance between pair of points given in List-I, match them correctly. $\begin{matrix} L i s t - I & L i s t I I (P) & (- 5, 7), (- 1, 3) & (1) & 5 (Q) & (5, 6), (1, 3) & (2) & \sqrt{8} (R) & (\sqrt{3} + 1, 1), (0, \sqrt{3}) & (3) & \sqrt{6} (S) & (0, 0), (- \sqrt{3}, \sqrt{3}) & (4) & 4 \sqrt{2} \end{matrix}$

Discussion

50.	If two chords AB and CD intersect externally at P and if AB = 4, PB = 5, PD = 3, then CD =
Answer» If two chords AB and CD intersect externally at P and if AB = 4, PB = 5, PD = 3, then CD =

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If sec θ = 13/5 then tan θ is

Find the amount of water displaced by a solid spherical ball of diameter 4.2 m, when it is completely immersed in water.

Can you please give me a mathematical proof of the Euclid's Division Algorith to find the HCF? I mean to say that a proof to show why it works?

If the ratio of the fifth and tenth term of an A.P is 1:2, then find the ratio of the first term to the common difference of the given A.P?

The three zeroes of the polynomial 2x3 + 5x2 - 28x - 15 _____

Question 7 (iv) Solve the following pair of linear equations. (a−b)x+(a+b)y=a2−2ab−b2 (a+b)(x+y)=a2+b2

Question 3 (ii) On comparing the ratios a1a2, b1b2 and c1c2 find out whether the following pair of linear equations are consistent, or inconsistent. 2x - 3y = 8 ; 4x - 6y = 9

Question 1 (ix) Without actually performing the long division, state whether 3550 will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Question 4 In the figure, QRQS=QTPR and ∠1=∠2. Show that ΔPQS∼ΔTQR.

The ___ of two or more numbers is the least number which is exactly divisible by those numbers.

Solve the following systems of equations: 5x−1+1y−2=2 6x−1−3y−2=1

Two dice are rolled together. Find the probability of getting such numbers on two dice whose product is a perfect square.

The number 3.24636363 .... is (a) an integer (b) a rational number (c) an irrational number (d) none of these

Question 3 (ii) Is 0.120120012000120000... rational or not. If it is rational, and of the form pq, what can you say about the prime factors of q?

Compute the modal value for the following frequency distribution x : - 95 105 115 125 135 145 155 165 175 f : - 4 2 18 22 21 19 10 3 2

Parvinder sold a watch at a loss of 5%.If he had sold that watch for ₹ 27 more,he would have gained 7%.Find the cost price of the watch.

Verify weather 2,3, and 1/2 the zeroes of the polynomial 2x-11x+17x-6

TWO POSTS ARE "k" METRE APART AND THE HEIGHT OF ONE IS DOUBLE THAT OF OTHER. IF FROM THE MID-POINT OF THE LINE SEGMENT JOINING THEIR FEET, AN OBSERVER FINDS THE ANGLES OF ELEVATION OF THEIR TOPS TO BE COMPLEMENTARY, THEN FIND THE HEIGHT OF THE SHORTED POST.

The lengths of three unequal edges of a rectangular solid block are in G.P. The volume of the block is 216 and the total surface area is 312. The length of the longest edge is

In the figure given AD is the diameter of the circle. If ∠BCD = 1300. Calculate ∠ADB.

Mr. Arun Pandit invests Rs 12000 in a company paying dividend of 8% per annum when a share of face value Rs 100 stands at Rs 150. i) What is his annual income? ii) He sells 50% of his shares when the price rises to Rs 180. What is his gain on his transaction?

The HCF of two numbers is 13 and LCM is 1001. Find the larger number.

Solve the following quadratic equations by factorization method: [3 MARKS] 1a+b+x=1a+1b+1x,a+b≠0

X- coordinate of the point that divides line segment joining A(2, 4) and B(6, 8) in the ratio 2:1 is

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

An ice cream cone has a radius of 3 cm and a height of 12 cm. A half scoop of ice cream is placed on the cone. If the ice cream melts, will it fit into the cone? [2 MARKS]

Two tangents are drawn from an external point P to the circle with centre O which meet the circle at Q and R respectively. Which of the following is true?

A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm in a diagram. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length? [3 MARKS]

For any acute angle, tanθ.cotθ is equal to

Question 3(ii) Find 49÷5

A line that touches a circle at only one point is called ________.

AE is the bisector of the exterior ∠CAD meeting BC produced in E. If AB=10 cm, AC=6 cm and BC=12 cm, find CE.

The point on the x-axis which is equidistant from (2, –5) and (–2, 9) is

Determine whether the following points are collinear or not: P (1,5), Q (2,3) and R (-2, -11)

In the given figure, ∠CAB=90o and AD⊥BC. Show that ΔBDA∼ΔBAC. If AC = 75 cm, AB = 1 m and BC = 1.25 m, find AD.

Question 7 (ii) Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of triangle ABC. (b) Find the coordinates of the point P on AD such that AP : PD = 2 : 1.

Question 10 (iii) CD and GH are respectively the bisectors of angleACB and ∠EGF such that D and H lie on sides AB and FE of ΔABC and ΔEFG respectively. If ΔABC∼ΔFEG, Show that (iii)ΔDCA∼ΔHGF

Condition satisfied by 2x +3y = -5 and 4x +6y -10 = 0 is

Question 3 6=z +2

A triangle similar to given ΔABCwith sides equal to 34 of the sides of ΔABC is constructed. BC′BC is equal to____.

If the first, second and the last terms of an AP are a, b, c respectively, then the sum is

Draw a pair of tangents of radius 2 cm that are inclined to each other at an angle of 90 degrees.

A sum of Rs 1600 gives a simple interest of Rs 252 in the time period of 2 years and 4 months. What is the rate of interest per annum?

The given figure represents a right square pyramid crystal in a random Joe’s collection. Which best describes all the faces of the pyramid?

In a class of 55, 31 students like maths and 29 like science .It is given that all the students like at least one of the two.Then, find the number of students who like both the subjects.

Arrange the following equations based on their discriminant value such that D&gt;0 is on top &amp; D&lt;0 is at bottom.

List-II gives distance between pair of points given in List-I, match them correctly. List−I List II(P)(−5,7),(−1,3)(1)5(Q)(5,6),(1,3)(2)√8(R)(√3+1,1),(0,√3)(3)√6(S)(0,0),(−√3,√3)(4)4√2

If two chords AB and CD intersect externally at P and if AB = 4, PB = 5, PD = 3, then CD =

Arrange the following equations based on their discriminant value such that D>0 is on top & D<0 is at bottom.