24740 + Interview Questions in Mathematics Page 114 InterviewSolution

5651.	In the given figure OA and OB are opposite rays: If x = 75∘, then what is the value of y in degrees? ___
Answer» In the given figure OA and OB are opposite rays: If x = 75 $^{\circ}$ , then what is the value of y in degrees? ___

5651.

In the given figure OA and OB are opposite rays: If x = 75∘, then what is the value of y in degrees? ___

Answer»

In the given figure OA and OB are opposite rays:

If x = 75 $^{\circ}$ , then what is the value of y in degrees?

___

Discussion

5652.

Anand Mohan has kept incomplete books. From the following particulars, prepare his Final Accounts for the year ending 31st March, 2019:Receipts:- Received from Debtors ₹ 37,000; Fresh Capital brought in cash ₹ 20,000; Commission Received ₹ 2,800; Cash Sales ₹ 95,000.Payments:- Paid to Creditors ₹ 35,000; Cash Purchases ₹ 26,500; Ornaments for his wife ₹ 22,000; Wages ₹ 18,800; Rent ₹ 8,400; Salary ₹ 12,000.His Other Assets and Liabilities:- 31st March, 2018 31st March, 2019 ₹ ₹ Debtors 15,600 18,000 Creditors 15,400 13,000 Machinery 36,000 36,000 Stock 28,000 21,200 Cash 5,000 – Adjustments :-(1) Unpaid wages ₹ 1,500.(2) Provide for Doubtful Debts at 5% on Debtors.

Answer» Anand Mohan has kept incomplete books. From the following particulars, prepare his Final Accounts for the year ending 31st March, 2019:

Receipts:- Received from Debtors ₹ 37,000; Fresh Capital brought in cash ₹ 20,000; Commission Received ₹ 2,800; Cash Sales ₹ 95,000.

Payments:- Paid to Creditors ₹ 35,000; Cash Purchases ₹ 26,500; Ornaments for his wife ₹ 22,000; Wages ₹ 18,800; Rent ₹ 8,400; Salary ₹ 12,000.

His Other Assets and Liabilities:-

	31st March, 2018	31st March, 2019
	₹	₹
Debtors	15,600	18,000
Creditors	15,400	13,000
Machinery	36,000	36,000
Stock	28,000	21,200
Cash	5,000	–

Adjustments :-

(1) Unpaid wages ₹ 1,500.

(2) Provide for Doubtful Debts at 5% on Debtors.

Discussion

5653.	In ABC ,Given that DE//BC , D is the midpoint of AB and E is a midpoint of AC. The ratio AE : EC is ____.
Answer» In ABC ,Given that DE//BC , D is the midpoint of AB and E is a midpoint of AC. The ratio AE : EC is ____.

5653.

In ABC ,Given that DE//BC , D is the midpoint of AB and E is a midpoint of AC. The ratio AE : EC is ____.

Answer»

In ABC ,Given that DE//BC , D is the midpoint of AB and E is a midpoint of AC. The ratio AE : EC is ____.

Discussion

5654.	Prove that the parallelogram circumscribing a circle, is a rhombus.
Answer» Prove that the parallelogram circumscribing a circle, is a rhombus.

Discussion

5655.	In a survey of 364 children aged 19 – 36 months, it was found that 91 liked to eat potato chips. If a child is selected at random, the probability that he / she does not like to eat potato chips is(a) 14(b) 12(c) 34(d) 45
Answer» In a survey of 364 children aged 19 – 36 months, it was found that 91 liked to eat potato chips. If a child is selected at random, the probability that he / she does not like to eat potato chips is (a) $\frac{1}{4}$ (b) $\frac{1}{2}$ (c) $\frac{3}{4}$ (d) $\frac{4}{5}$

Discussion

5656.	If point (-a,b) lies in II Quadrant then which of the option is correct and why?1) a>0,b>02) a0
Answer» If point (-a,b) lies in II Quadrant then which of the option is correct and why? 1) a>0,b>0 2) a<0,b>0

Discussion

5657.	Simplify:(i) xa+bxca-bxb+cxab-cxc+axbc-a(ii) lmxlxm×mnxmxn×nlxnxl
Answer» Simplify: (i) ${(\frac{x^{a + b}}{x^{c}})}^{a - b} {(\frac{x^{b + c}}{x^{a}})}^{b - c} {(\frac{x^{c + a}}{x^{b}})}^{c - a}$ (ii) $l m \sqrt{\frac{x^{l}}{x^{m}}} \times m n \sqrt{\frac{x^{m}}{x^{n}}} \times n l \sqrt{\frac{x^{n}}{x^{l}}}$

Discussion

5658.	A rectangular prism has a base perimeter of 28 m and height 12 m. What is its lateral surface area (in m2)?336
Answer» A rectangular prism has a base perimeter of 28 m and height 12 m. What is its lateral surface area (in $m^{2}$ )? 336

Discussion

5659.	Number of nodal planes in π\ast2px, are_ and how? 1) Zero(2) One3) Two(4) Three
Answer» Number of nodal planes in π\ast2px, are_ and how? 1) Zero(2) One3) Two(4) Three

Discussion

5660.	Which of the following options is correct about improper fraction?
Answer» Which of the following options is correct about improper fraction?

Discussion

5661.	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

5662.	The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed (see the following figure). Find the relation between area (ABCD) and area (PBQR). [3 MARKS]
Answer» The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed (see the following figure). Find the relation between area (ABCD) and area (PBQR). [3 MARKS]

Discussion

5663.	Let A={2,3,4,5,…,30} and ′≅′ be an equivalence relation on A×A, defined by (a,b)≅(c,d), if and only if ad=bc. Then the number of ordered pairs which satisfy this equivalence relation with ordered pair (4,3) is equal to :
Answer» Let $A = {2, 3, 4, 5, \dots, 30}$ and $^{'} ≅^{'}$ be an equivalence relation on $A \times A,$ defined by $(a, b) ≅ (c, d),$ if and only if $a d = b c .$ Then the number of ordered pairs which satisfy this equivalence relation with ordered pair $(4, 3)$ is equal to :

Discussion

5664.	Which of the following is a constant polynomial?
Answer» Which of the following is a constant polynomial?

Discussion

5665.	In the figure given below, AB\|\|EF\|\|CD, If AB =22.5 cm, EP =7.5 cm, PC =15 cm and DC =27 cm. Calculate: (i) EF (ii) AC
Answer» In the figure given below, AB\|\|EF\|\|CD, If AB =22.5 cm, EP =7.5 cm, PC =15 cm and DC =27 cm. Calculate: (i) EF (ii) AC

5665.

In the figure given below, AB||EF||CD, If AB =22.5 cm, EP =7.5 cm, PC =15 cm and DC =27 cm. Calculate: (i) EF (ii) AC

Answer»

In the figure given below, AB||EF||CD, If AB =22.5 cm, EP =7.5 cm, PC =15 cm and DC =27 cm.

Calculate: (i) EF (ii) AC

Discussion

5666.	What is the probability of getting a doublet of even number, when two dice are thrown simultaneously?
Answer» What is the probability of getting a doublet of even number, when two dice are thrown simultaneously?

Discussion

5667.	f(x) = x3 − 6x2 + 11x − 6, g(x) = x2 − 3x + 2
Answer» f(x) = x³ − 6x² + 11x − 6, g(x) = x² − 3x + 2

Discussion

5668.	Two poles are erected from the ground. The length of the longer pole is 10m. If the distance between the tips of the poles is 6m, and the angle of elevation of the tip of the longer pole from that of the shorter pole is 30∘, find the length of the second pole.
Answer» Two poles are erected from the ground. The length of the longer pole is 10m. If the distance between the tips of the poles is 6m, and the angle of elevation of the tip of the longer pole from that of the shorter pole is $30^{\circ}$ , find the length of the second pole.

Discussion

5669.	The difference between the upper and the lower class limits is called(a) mid-points(b) class size(c) frequency(d) mean
Answer» The difference between the upper and the lower class limits is called (a) mid-points (b) class size (c) frequency (d) mean

Discussion

5670.	If the diagonals of a rhombus are 18 cm and 24 cm respectively, then its side is equal to
Answer» If the diagonals of a rhombus are $18 c m$ and $24 c m$ respectively, then its side is equal to

Discussion

5671.	Rectify the following errors:(i) Sold old furniture to A for ₹ 11,500 was passed through the Sales Book.(ii) Credit purchases of ₹ 12,000 from Ojas omitted to be recorded in the books.(iii) Repairs made were debited to Building Account ₹ 7,000.(iv) Credit sale of ₹ 1,800 to Avikan was recorded as ₹ 8,100.(v) ₹ 6,000 paid for office furniture was debited to office expenses account.(vi) A credit sale of goods of ₹ 15,000 to Ramesh has been wrongly passed through the purchases Book.
Answer» Rectify the following errors: (i) Sold old furniture to A for ₹ 11,500 was passed through the Sales Book. (ii) Credit purchases of ₹ 12,000 from Ojas omitted to be recorded in the books. (iii) Repairs made were debited to Building Account ₹ 7,000. (iv) Credit sale of ₹ 1,800 to Avikan was recorded as ₹ 8,100. (v) ₹ 6,000 paid for office furniture was debited to office expenses account. (vi) A credit sale of goods of ₹ 15,000 to Ramesh has been wrongly passed through the purchases Book.

Discussion

5672.	A man 4 times as old as his son. After 16 years, he will be only twice as old as his son. Find their present ages.
Answer» A man 4 times as old as his son. After 16 years, he will be only twice as old as his son. Find their present ages.

Discussion

5673.	Find the area of the rhombus having each side equal to 10 cm and one of its diagonals equal to 12 cm.
Answer» Find the area of the rhombus having each side equal to 10 cm and one of its diagonals equal to 12 cm.

Discussion

5674.	int(dx)/((2x-7)sqrt((x-3)(x-4)))
Answer» int(dx)/((2x-7)sqrt((x-3)(x-4)))

Discussion

5675.	Which of the following are irrational numbers ?
Answer» Which of the following are irrational numbers ?

Discussion

5676.	Factorize (2x+3y)³ - (2x-3y)³
Answer» Factorize (2x+3y)³ - (2x-3y)³

Discussion

5677.	Look at the graph given below:The equation of the graph is .
Answer» Look at the graph given below: The equation of the graph is .

Discussion

5678.	I. x2+22x+117=0 II. y2+3y−40=0
Answer» I. $x^{2} + 22 x + 117 = 0$ II. $y^{2} + 3 y - 40 = 0$

5678.

I. x2+22x+117=0 II. y2+3y−40=0

Answer»

I. $x^{2} + 22 x + 117 = 0$

II. $y^{2} + 3 y - 40 = 0$

Discussion

5679.	23. ABCD is a quadrilateral in which AD=BC . if P,Q,R,S be the mid point of AB,AC,CD,and ND respectively, show that PQRS is a rhombus
Answer» 23. ABCD is a quadrilateral in which AD=BC . if P,Q,R,S be the mid point of AB,AC,CD,and ND respectively, show that PQRS is a rhombus

Discussion

5680.	Hameed has built a cubical water tank with lid for his house, with each outer edge 1.5m long. He gets the outer surface of the tank excluding the base, covered with square tiles of side 25cm. Find how much he would spend for the tiles, if the cost of the tiles is ₹360 per dozen.
Answer» Hameed has built a cubical water tank with lid for his house, with each outer edge 1.5m long. He gets the outer surface of the tank excluding the base, covered with square tiles of side 25cm. Find how much he would spend for the tiles, if the cost of the tiles is ₹360 per dozen.

Discussion

5681.	Five books of height 7 cm and 5 mm each are stacked over one another. What is the total height of the entire stack?
Answer» Five books of height 7 cm and 5 mm each are stacked over one another. What is the total height of the entire stack?

Discussion

5682.	The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire. [4 MARKS]
Answer» The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire. [4 MARKS]

Discussion

5683.	Question 2 (iv) Consider the following parallelograms. Find the values of the unknowns x,y,z (iv)
Answer» Question 2 (iv) Consider the following parallelograms. Find the values of the unknowns x,y,z (iv)

Discussion

5684.	ABCD is a parallelogram in which BC is produced to E such that CE = BC. AE intersects CD at F. (i) Prove that ar (△ADF)=ar(△ECF) (ii) IF the area of △DFB=3cm3 , Find the area of \|\|gmABCD.
Answer» ABCD is a parallelogram in which BC is produced to E such that CE = BC. AE intersects CD at F. (i) Prove that ar $(△ A D F) = a r (△ E C F)$ (ii) IF the area of $△ D F B = 3 c m^{3}$ , Find the area of $\| \|^{g m} A B C D .$

Discussion

5685.	6. Solve for 'x' and 'y' by using method of substitution. x+3y=0 3x- 8y=0
Answer» 6. Solve for 'x' and 'y' by using method of substitution. x+3y=0 3x- 8y=0

Discussion

5686.	4. Find the co ordinate of the circumcentre of the triangle whose vertices are a(2,3 )b 3,4 c 6,8
Answer» 4. Find the co ordinate of the circumcentre of the triangle whose vertices are a(2,3 )b 3,4 c 6,8

Discussion

5687.	Q.1510 different things are arranged in a circle, then number of ways to select three objects, such that atleast two of the objects are consecutive
Answer» Q.15 10 different things are arranged in a circle, then number of ways to select three objects, such that atleast two of the objects are consecutive

Discussion

5688.	Show that a diagonal divides a parallelogram into two triangles of equal area.
Answer» Show that a diagonal divides a parallelogram into two triangles of equal area.

Discussion

5689.	If the lengths of the sides of a rectangular parallelopiped are 3,2,1 then the angle between two diagonals out of four diagonals can be
Answer» If the lengths of the sides of a rectangular parallelopiped are $3, 2, 1$ then the angle between two diagonals out of four diagonals can be

Discussion

5690.	ΔABE and ΔADC are right triangles, right-angled at A and D respectively such that B is the mid-point of AC and ABDE is a convex quadrilateral. If BE\|\|CD,BE and AD intersect at O and ΔAED is an equilateral triangle, then the incorrect option is
Answer» $Δ A B E$ and $Δ A D C$ are right triangles, right-angled at A and D respectively such that B is the mid-point of AC and ABDE is a convex quadrilateral. If $B E \| \| C D, B E$ and AD intersect at O and $Δ A E D$ is an equilateral triangle, then the incorrect option is

Discussion

5691.	When the time came, with a good luck note to Jacob, Jack left on his time machine. When the machine came out of the portal, it was all dark. He hid his time machine in an empty store room and fell asleep. Next morning, he realized he was in a church. The church officials soon came in and took Jack to the Reverend’s (Head of the church) house. While Jack was waiting, he noticed a guy in the garden working a sum. When Jack took an overlook, it was a quest to find median of a data set. What is median?
Answer» When the time came, with a good luck note to Jacob, Jack left on his time machine. When the machine came out of the portal, it was all dark. He hid his time machine in an empty store room and fell asleep. Next morning, he realized he was in a church. The church officials soon came in and took Jack to the Reverend’s (Head of the church) house. While Jack was waiting, he noticed a guy in the garden working a sum. When Jack took an overlook, it was a quest to find median of a data set. What is median?

5691.

When the time came, with a good luck note to Jacob, Jack left on his time machine. When the machine came out of the portal, it was all dark. He hid his time machine in an empty store room and fell asleep. Next morning, he realized he was in a church. The church officials soon came in and took Jack to the Reverend’s (Head of the church) house. While Jack was waiting, he noticed a guy in the garden working a sum. When Jack took an overlook, it was a quest to find median of a data set. What is median?

Answer»

When the time came, with a good luck note to Jacob, Jack left on his time machine. When the machine came out of the portal, it was all dark. He hid his time machine in an empty store room and fell asleep.

Next morning, he realized he was in a church. The church officials soon came in and took Jack to the Reverend’s (Head of the church) house. While Jack was waiting, he noticed a guy in the garden working a sum. When Jack took an overlook, it was a quest to find median of a data set. What is median?

Discussion

5692.	If g(x) = 2x2, Solve g(x) = 72 Then, 2x^2 = 72 36=x^2 x= 6 2. g(5) 5=2x^2 2.5=x^2 x = underroot 2.5 I know one of them is wrong, can you please tell which one?
Answer» If g(x) = 2x², Solve g(x) = 72 Then, 2x^2 = 72 36=x^2 x= 6 2. g(5) 5=2x^2 2.5=x^2 x = underroot 2.5 I know one of them is wrong, can you please tell which one?

5692.

If g(x) = 2x2, Solve g(x) = 72 Then, 2x^2 = 72 36=x^2 x= 6 2. g(5) 5=2x^2 2.5=x^2 x = underroot 2.5 I know one of them is wrong, can you please tell which one?

Answer»

If g(x) = 2x²,

Solve g(x) = 72

Then, 2x^2 = 72

36=x^2

x= 6

2. g(5)

5=2x^2

2.5=x^2

x = underroot 2.5

I know one of them is wrong, can you please tell which one?

Discussion

5693.	Question 3State whether the following statements are true or false? Justify your answer.(i) √23 is a rational number.(ii) There are infinitely many integers between any two integers.(iii) Number of rational numbers between 15 and 18 is finite.(iv) There are numbers which cannot be written in the form pq,q≠0 p and q both are integers.(v) The square of an irrational number is always rational.(vi) √12√3 is not a rational number as √12 and √3 are not integers.(vii) √15√3 is written in the form pq, so it is a rational number.
Answer» Question 3 State whether the following statements are true or false? Justify your answer. (i) $\frac{\sqrt{2}}{3}$ is a rational number. (ii) There are infinitely many integers between any two integers. (iii) Number of rational numbers between 15 and 18 is finite. (iv) There are numbers which cannot be written in the form $\frac{p}{q}, q \neq 0$ p and q both are integers. (v) The square of an irrational number is always rational. (vi) $\frac{\sqrt{12}}{\sqrt{3}}$ is not a rational number as $\sqrt{1} 2$ and $\sqrt{3}$ are not integers. (vii) $\frac{\sqrt{15}}{\sqrt{3}}$ is written in the form $\frac{p}{q}$ , so it is a rational number.

Discussion

5694.	If X is the mean of n variables x1, x2,......., xn of variable X and a has any value other than X, is _____________ than ∑i=1nxi-a2.
Answer» If $X$ is the mean of n variables x₁, x₂,......., x_n of variable X and a has any value other than $X$ , is _____________ than $\sum_{i = 1}^{n} {(x_{i} - a)}^{2} .$

Discussion

5695.	The equation of a line passing through (1, 2, 3) and normal to the plane 2x-3y+6z=11 is _______________.
Answer» The equation of a line passing through (1, 2, 3) and normal to the plane $2 x - 3 y + 6 z = 11$ is _______________.

Discussion

5696.	The positive square root of 7+√48 is
Answer» The positive square root of $7 + \sqrt{48}$ is

Discussion

5697.	In the given figure, a semicircle is drawn on the hypotenuse of the right-angled triangle. Another arc of radius 30 cm is drawn passing through A and C with O as the center. What is the area of the shaded region? (Take π as 3.14 and √3 = 1.732)
Answer» In the given figure, a semicircle is drawn on the hypotenuse of the right-angled triangle. Another arc of radius 30 cm is drawn passing through A and C with O as the center. What is the area of the shaded region? (Take $π$ as 3.14 and $\sqrt{3}$ = 1.732)

Discussion

5698.	Question 1In given figure, if ∠A=∠C, AB = 6cm, BP = 15cm, AP = 12cm and CP = 4cm, then find the lengths of PD and CD.
Answer» Question 1 In given figure, if $∠ A = ∠ C$ , AB = 6cm, BP = 15cm, AP = 12cm and CP = 4cm, then find the lengths of PD and CD.

Discussion

5699.	A machine was purchased 2 years ago. Its value decreases by 10 % every year. Its present value is ₹ 97200. Find the purchase price of the machine
Answer» A machine was purchased 2 years ago. Its value decreases by 10 % every year. Its present value is ₹ 97200. Find the purchase price of the machine

Discussion

5700.	Find the mean of x, x+2, x+4, x+6, x+8.
Answer» Find the mean of x, x+2, x+4, x+6, x+8.

Discussion

Explore topic-wise InterviewSolutions in .

In the given figure OA and OB are opposite rays: If x = 75∘, then what is the value of y in degrees? ___

In ABC ,Given that DE//BC , D is the midpoint of AB and E is a midpoint of AC. The ratio AE : EC is ____.

Prove that the parallelogram circumscribing a circle, is a rhombus.

In a survey of 364 children aged 19 – 36 months, it was found that 91 liked to eat potato chips. If a child is selected at random, the probability that he / she does not like to eat potato chips is(a) 14(b) 12(c) 34(d) 45

If point (-a,b) lies in II Quadrant then which of the option is correct and why?1) a>0,b>02) a0

Simplify:(i) xa+bxca-bxb+cxab-cxc+axbc-a(ii) lmxlxm×mnxmxn×nlxnxl

A rectangular prism has a base perimeter of 28 m and height 12 m. What is its lateral surface area (in m2)?336

Number of nodal planes in π\ast2px, are_ and how? 1) Zero(2) One3) Two(4) Three

Which of the following options is correct about improper fraction?

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

The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed (see the following figure). Find the relation between area (ABCD) and area (PBQR). [3 MARKS] ​

Let A={2,3,4,5,…,30} and ′≅′ be an equivalence relation on A×A, defined by (a,b)≅(c,d), if and only if ad=bc. Then the number of ordered pairs which satisfy this equivalence relation with ordered pair (4,3) is equal to :

Which of the following is a constant polynomial?

In the figure given below, AB||EF||CD, If AB =22.5 cm, EP =7.5 cm, PC =15 cm and DC =27 cm. Calculate: (i) EF (ii) AC

What is the probability of getting a doublet of even number, when two dice are thrown simultaneously?

f(x) = x3 − 6x2 + 11x − 6, g(x) = x2 − 3x + 2

Two poles are erected from the ground. The length of the longer pole is 10m. If the distance between the tips of the poles is 6m, and the angle of elevation of the tip of the longer pole from that of the shorter pole is 30∘, find the length of the second pole.

The difference between the upper and the lower class limits is called(a) mid-points(b) class size(c) frequency(d) mean

If the diagonals of a rhombus are 18 cm and 24 cm respectively, then its side is equal to

A man 4 times as old as his son. After 16 years, he will be only twice as old as his son. Find their present ages.

Find the area of the rhombus having each side equal to 10 cm and one of its diagonals equal to 12 cm.

int(dx)/((2x-7)sqrt((x-3)(x-4)))

Which of the following are irrational numbers ?

Factorize (2x+3y)³ - (2x-3y)³

Look at the graph given below:The equation of the graph is .

I. x2+22x+117=0 II. y2+3y−40=0

23. ABCD is a quadrilateral in which AD=BC . if P,Q,R,S be the mid point of AB,AC,CD,and ND respectively, show that PQRS is a rhombus

Hameed has built a cubical water tank with lid for his house, with each outer edge 1.5m long. He gets the outer surface of the tank excluding the base, covered with square tiles of side 25cm. Find how much he would spend for the tiles, if the cost of the tiles is ₹360 per dozen.

Five books of height 7 cm and 5 mm each are stacked over one another. What is the total height of the entire stack?

The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire. [4 MARKS]

Question 2 (iv) Consider the following parallelograms. Find the values of the unknowns x,y,z (iv)

ABCD is a parallelogram in which BC is produced to E such that CE = BC. AE intersects CD at F. (i) Prove that ar (△ADF)=ar(△ECF) (ii) IF the area of △DFB=3cm3 , Find the area of ||gmABCD.

6. Solve for 'x' and 'y' by using method of substitution. x+3y=0 3x- 8y=0

4. Find the co ordinate of the circumcentre of the triangle whose vertices are a(2,3 )b 3,4 c 6,8

Q.1510 different things are arranged in a circle, then number of ways to select three objects, such that atleast two of the objects are consecutive

Show that a diagonal divides a parallelogram into two triangles of equal area.

If the lengths of the sides of a rectangular parallelopiped are 3,2,1 then the angle between two diagonals out of four diagonals can be

ΔABE and ΔADC are right triangles, right-angled at A and D respectively such that B is the mid-point of AC and ABDE is a convex quadrilateral. If BE||CD,BE and AD intersect at O and ΔAED is an equilateral triangle, then the incorrect option is

​If g(​x​) = 2​x​2​, Solve g(​x​) = 72 Then, 2x^2 = 72 36=x^2 x= 6 2. g(5) ​ ​​​​​​​ 5=2x^2 2.5=x^2 x = underroot 2.5 I know one of them is wrong, can you please tell which one?

If X is the mean of n variables x1, x2,......., xn of variable X and a has any value other than X, is _____________ than ∑i=1nxi-a2.

The equation of a line passing through (1, 2, 3) and normal to the plane 2x-3y+6z=11 is _______________.

The positive square root of 7+√48 is

In the given figure, a semicircle is drawn on the hypotenuse of the right-angled triangle. Another arc of radius 30 cm is drawn passing through A and C with O as the center. What is the area of the shaded region? (Take π as 3.14 and √3 = 1.732)

Question 1In given figure, if ∠A=∠C, AB = 6cm, BP = 15cm, AP = 12cm and CP = 4cm, then find the lengths of PD and CD.

A machine was purchased 2 years ago. Its value decreases by 10 % every year. Its present value is ₹ 97200. Find the purchase price of the machine

Find the mean of x, x+2, x+4, x+6, x+8.

The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed (see the following figure). Find the relation between area (ABCD) and area (PBQR). [3 MARKS]

If g(x) = 2x2, Solve g(x) = 72 Then, 2x^2 = 72 36=x^2 x= 6 2. g(5) 5=2x^2 2.5=x^2 x = underroot 2.5 I know one of them is wrong, can you please tell which one?