24740 + Interview Questions in Mathematics Page 42 InterviewSolution

2051.	The probability of guessing the correct answer to a certain question is x3. If the probability of not guessing the correct answer is x3, then find x.
Answer» The probability of guessing the correct answer to a certain question is $\frac{x}{3}$ . If the probability of not guessing the correct answer is $\frac{x}{3}$ , then find $x$ .

Discussion

2052.	The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If ∠DAC = 32o, ∠AOB = 70o, then ∠DBC is equal to:
Answer» The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If ∠DAC = 32^o, ∠AOB = 70^o, then ∠DBC is equal to:

Discussion

2053.	When tested, the lives (in hours) of 5 bulbs were noted as follows: 1357, 1090, 1666, 1494, 1623. The mean deviations (in hours) from their mean is(a) 178 (b) 179 (c) 220 (d) 356
Answer» When tested, the lives (in hours) of 5 bulbs were noted as follows: 1357, 1090, 1666, 1494, 1623. The mean deviations (in hours) from their mean is (a) 178 (b) 179 (c) 220 (d) 356

Discussion

2054.	In the given figures, O is the centre of the given circles. Match the values of x.
Answer» In the given figures, O is the centre of the given circles. Match the values of $x$ .

Discussion

2055.	The value of \|4\| × \|-5 × 4\| × 2
Answer» The value of \|4\| $\times$ \|-5 $\times$ 4\| $\times$ 2

Discussion

2056.	4. let z,z,z be three pairwise distinct complex numbers and t,t,t are non-negative real numbers such that t+t+t=1.prove that complex number z=tz+tz+tz lies inside a triangle with vertices z,z,z or on its boundary
Answer» 4. let z,z,z be three pairwise distinct complex numbers and t,t,t are non-negative real numbers such that t+t+t=1.prove that complex number z=tz+tz+tz lies inside a triangle with vertices z,z,z or on its boundary

Discussion

2057.	11. If angle B and angle Q are acute angles such that sin B = sinQ, then prove that angle B = angleQ.
Answer» 11. If angle B and angle Q are acute angles such that sin B = sinQ, then prove that angle B = angleQ.

Discussion

2058.	If A=30^°,prove sin3A=3sinA-4sinA
Answer» If A=30^°,prove sin3A=3sinA-4sinA

Discussion

2059.	In △ABC, the exterior angle to A measures 110∘ and ∠C measures 30∘. What is the measure of ∠B?
Answer» In $△$ ABC, the exterior angle to A measures $110^{\circ}$ and $∠$ C measures $30^{\circ}$ . What is the measure of $∠$ B?

2059.

In △ABC, the exterior angle to A measures 110∘ and ∠C measures 30∘. What is the measure of ∠B?

Answer»

In $△$ ABC, the exterior angle to A measures $110^{\circ}$ and $∠$ C measures $30^{\circ}$ . What is the measure of $∠$ B?

Discussion

2060.	The position vectors of two points A and C are 9^i−^j+7^k and 7^i−2^j+7^k respectively. The point of intersection of the lines containing vectors −−→AB=4^i−^j+3^kand −−→CD=2^i−^j+2^k is P. If a vector −−→PQ is perpendicular to −−→AB~\text {and }\overrightarrow{CD} \text { and }PQ = 15\) units, the possible position vectors of Q are x1^i+x2^j+x3^k and y1^i+y2^j+y3^k. Then the value of 3∑i=1(xi+yi) is equal to
Answer» The position vectors of two points A and C are $9^i -^j + 7^k$ and $7^i - 2^j + 7^k$ respectively. The point of intersection of the lines containing vectors $- - \to A B = 4^i -^j + 3^k and - - \to C D = 2^i -^j + 2^k$ is P. If a vector $- - \to P Q$ is perpendicular to $- - \to A B$ ~\text {and }\overrightarrow{CD} \text { and }PQ = 15\) units, the possible position vectors of Q are $x_{1}^i + x_{2}^j + x_{3}^k and y_{1}^i + y_{2}^j + y_{3}^k$ . Then the value of $3 \sum i = 1 (x_{i} + y_{i})$ is equal to

Discussion

2061.	The value of 1+cos θ1-cos θ is(a) cot θ − cosec θ(b) cosec θ + cot θ(c) cosec2 θ + cot2 θ(d) (cot θ + cosec θ)2
Answer» The value of $\sqrt{\frac{1 + \cos θ}{1 - \cos θ}}$ is (a) cot θ − cosec θ (b) cosec θ + cot θ (c) cosec² θ + cot² θ (d) (cot θ + cosec θ)²

Discussion

2062.	If the mean of 2,4,6,8,x,y is 5, then find the value of x + y.
Answer» If the mean of 2,4,6,8,x,y is 5, then find the value of x + y.

Discussion

2063.	Question 84Devangi's phone subscription charges for the period 17 - 02 - 09 to 16 - 03 - 09 were as followsPeriodAmount(in Rs)Service tax%17−02−09to23−02−09199.7512%24−02−09to16−03−09599.2510%Find the final bill amount,if 3 %education cess was also charged on service tax.
Answer» Question 84 Devangi's phone subscription charges for the period 17 - 02 - 09 to 16 - 03 - 09 were as follows $\begin{matrix} Period & Amount(in Rs) & Service tax % 17 - 02 - 09 t o 23 - 02 - 09 & 199.75 & 12 % 24 - 02 - 09 t o 16 - 03 - 09 & 599.25 & 10 % \end{matrix}$ Find the final bill amount,if 3 $%$ education cess was also charged on service tax.

2063.

Question 84Devangi's phone subscription charges for the period 17 - 02 - 09 to 16 - 03 - 09 were as followsPeriodAmount(in Rs)Service tax%17−02−09to23−02−09199.7512%24−02−09to16−03−09599.2510%Find the final bill amount,if 3 %education cess was also charged on service tax.

Answer»

Question 84

Devangi's phone subscription charges for the period 17 - 02 - 09 to 16 - 03 - 09 were as follows

$\begin{matrix} Period & Amount(in Rs) & Service tax % 17 - 02 - 09 t o 23 - 02 - 09 & 199.75 & 12 % 24 - 02 - 09 t o 16 - 03 - 09 & 599.25 & 10 % \end{matrix}$

Find the final bill amount,if 3 $%$ education cess was also charged on service tax.

Discussion

2064.	How to convert km/h in m/s
Answer» How to convert km/h in m/s

Discussion

2065.	In the given figure, AB is a diameter of the circle. Chord ED is parallel to AB and ∠ EAB = 63o. Calculate : (i) ∠ EBA, (ii) ∠ BCD.
Answer» In the given figure, AB is a diameter of the circle. Chord ED is parallel to AB and $∠$ EAB = $63^{o}$ . Calculate : (i) $∠$ EBA, (ii) $∠$ BCD.

2065.

In the given figure, AB is a diameter of the circle. Chord ED is parallel to AB and ∠ EAB = 63o. Calculate : (i) ∠ EBA, (ii) ∠ BCD.

Answer»

In the given figure, AB is a diameter of the circle. Chord ED is parallel to AB and $∠$ EAB = $63^{o}$ . Calculate : (i) $∠$ EBA, (ii) $∠$ BCD.

Discussion

2066.	If the volumes of two cubes are in the ratio 8: 1, then the ratio of their edges is(a) 8 : 1(b) 22:1(c) 2 : 1(d) none of these
Answer» If the volumes of two cubes are in the ratio 8: 1, then the ratio of their edges is (a) 8 : 1 (b) $2 \sqrt{2} : 1$ (c) 2 : 1 (d) none of these

Discussion

2067.	Match the following with the area of shaded regions in cm2.
Answer» Match the following with the area of shaded regions in $c m^{2}$ .

Discussion

2068.	ABCD is a parallelogram. AP the bisector of ∠A and CQ the bisector of ∠C meet the opposite sides in P and Q, respectively. Prove thatAP \|\| CQ.
Answer» ABCD is a parallelogram. AP the bisector of ∠A and CQ the bisector of ∠C meet the opposite sides in P and Q, respectively. Prove that AP \|\| CQ.

Discussion

2069.	The number of non-empty subsets of the set {1,2,3,4} is
Answer» The number of non-empty subsets of the set ${1, 2, 3, 4}$ is

Discussion

2070.	If two bars in a histogram have unequal widths but the same height, then which class interval will have a higher number of observations?
Answer» If two bars in a histogram have unequal widths but the same height, then which class interval will have a higher number of observations?

Discussion

2071.	The average monthly salary of 20 workers in an office is Rs. 45900. If the manager's salary is added, the average salary becomes Rs. 49200 per month. What's manager's monthly salary?
Answer» The average monthly salary of 20 workers in an office is Rs. 45900. If the manager's salary is added, the average salary becomes Rs. 49200 per month. What's manager's monthly salary?

Discussion

2072.	In an equilateral ΔABC,AD⊥BC. prove that AD2=3BD2
Answer» In an equilateral $Δ A B C, A D ⊥ B C$ . prove that $A D^{2} = 3 B D^{2}$

Discussion

2073.	(i) Draw the graph (straight line) given by equation x − 3y = 18.(ii) If the straight line drawn passes through the points (m,−5) and (6,n); find the values of m and n.
Answer» (i) Draw the graph (straight line) given by equation x − 3y = 18. (ii) If the straight line drawn passes through the points (m,−5) and (6,n); find the values of m and n.

Discussion

2074.

The marks of 24 candidates in the subject mathematics are given below: 45 48 15 23 30 35 40 11 29 0 3 12 48 50 18 30 15 30 11 42 23 2 3 44 The maximum marks are 50. Make a frequency distribution taking class intervals 0 – 10, 10-20…

Answer» The marks of 24 candidates in the subject mathematics are given below:

45	48	15	23	30	35	40	11
29	0	3	12	48	50	18	30
15	30	11	42	23	2	3	44

The maximum marks are 50. Make a frequency distribution taking class intervals 0 – 10, 10-20…

Discussion

2075.	An irrational no. lying between √4 & 5 is(1) √10÷2(2) √5÷2(3) √10(4) √20÷4
Answer» An irrational no. lying between √4 & 5 is (1) √10÷2 (2) √5÷2 (3) √10 (4) √20÷4

Discussion

2076.	The factors of the polynomial equation P(x) = 4x3+x2+5x+8 are ?
Answer» The factors of the polynomial equation P(x) = $4 x^{3} + x^{2} + 5 x + 8$ are ?

Discussion

2077.	Question 8 (i)Express 49 as the sum of 7 odd numbers.
Answer» Question 8 (i) Express 49 as the sum of 7 odd numbers.

Discussion

2078.	The radius of the internal and external surfaces of a hollow spherical shell are 3 cm and 5cm respectively. If it is melted and recast into a solid cylinder of height 223 cm. Find the diameter of the cylinder.
Answer» The radius of the internal and external surfaces of a hollow spherical shell are 3 cm and 5cm respectively. If it is melted and recast into a solid cylinder of height $2 \frac{2}{3}$ cm. Find the diameter of the cylinder.

Discussion

2079.	If 3 cos θ = 5 sin θ, then the value of 5 sin θ-2 sec3 θ+2 cos θ5 sin θ+2 sec3 θ-2 cos θis(a) 271979(b) 3162937(c) 5422937(d) None of these
Answer» If 3 cos θ = 5 sin θ, then the value of $\frac{5 \sin θ - 2 \sec^{3} θ + 2 \cos θ}{5 \sin θ + 2 \sec^{3} θ - 2 \cos θ}$ is (a) $\frac{271}{979}$ (b) $\frac{316}{2937}$ (c) $\frac{542}{2937}$ (d) None of these

Discussion

2080.	Question 3An exterior angle of a triangle is 105∘ and its two interior opposite angles are equal. Each of these equal angles is:A) 37 12∘B) 52 12∘C) 72 12∘D) 75∘
Answer» Question 3 An exterior angle of a triangle is $105^{\circ}$ and its two interior opposite angles are equal. Each of these equal angles is: A) $37 {\frac{1}{2}}^{\circ}$ B) $52 {\frac{1}{2}}^{\circ}$ C) $72 {\frac{1}{2}}^{\circ}$ D) $75^{\circ}$

Discussion

2081.	Draw a triangle ABC with side BC=6 cm, AB=5 cm and∠ABC=60∘. Then construct a triangle whose sides are 34 of the corresponding sides of the triangle ABC.
Answer» Draw a triangle ABC with side $B C = 6 c m, A B = 5 c m a n d ∠ A B C = 60^{\circ}$ . Then construct a triangle whose sides are $\frac{3}{4}$ of the corresponding sides of the triangle ABC.

Discussion

2082.	If the volumes of two cubes are in the ratio 8:1, then the ratio of their edges is
Answer» If the volumes of two cubes are in the ratio 8:1, then the ratio of their edges is

Discussion

2083.	Question 1 (i) A survey conducted by an organization for the cause of illness and death among the women between the ages 15-44 (in years) worldwide, found the following figures (in %): S.No.CausesFemale fatality rate(%)1.Reproductive health conditions31.82.Neuropsychiatric conditions25.43.Injuries12.44.Cardiovascular conditions4.35.Respiratory conditions4.16.Other causes22.0 (i) Represent the information given above graphically.
Answer» Question 1 (i) A survey conducted by an organization for the cause of illness and death among the women between the ages 15-44 (in years) worldwide, found the following figures (in %): $\begin{matrix} S.No. & Causes & Female fatality rate (%) 1. & Reproductive health conditions & 31.8 2. & Neuropsychiatric conditions & 25.4 3. & Injuries & 12.4 4. & Cardiovascular conditions & 4.3 5. & Respiratory conditions & 4.1 6. & Other causes & 22.0 \end{matrix}$ (i) Represent the information given above graphically.

Discussion

2084.	Mod(X+1) + Mod(X-4) > 7
Answer» Mod(X+1) + Mod(X-4) > 7

Discussion

2085.	Which of the following is not true for a parallelogram? (a) Opposite sides are equal. (b) Opposite angles are equal. (c) Opposite angles are bisected by the diagonals. (d) Diagonals bisect each other.
Answer» Which of the following is not true for a parallelogram? (a) Opposite sides are equal. (b) Opposite angles are equal. (c) Opposite angles are bisected by the diagonals. (d) Diagonals bisect each other.

2085.

Which of the following is not true for a parallelogram? (a) Opposite sides are equal. (b) Opposite angles are equal. (c) Opposite angles are bisected by the diagonals. (d) Diagonals bisect each other.

Answer»

Which of the following is not true for a parallelogram?

(a) Opposite sides are equal.

(b) Opposite angles are equal.

(c) Opposite angles are bisected by the diagonals.

(d) Diagonals bisect each other.

Discussion

2086.	36. Find the area of a traingle ,the radius of whose circumcirle is 3 cm and the lenght of the altitude drawm from the opposite vertex to the hypotenuse is 2cm?
Answer» 36. Find the area of a traingle ,the radius of whose circumcirle is 3 cm and the lenght of the altitude drawm from the opposite vertex to the hypotenuse is 2cm?

Discussion

2087.	Which of these points lie on the line 7x+8y=61?
Answer» Which of these points lie on the line $7 x + 8 y = 61$ ?

Discussion

2088.	If the diagonals of a rhombus are 18 cm and 24 cm respectively, then its side is equal to(a) 16 cm(b) 15 cm(c) 20 cm(d) 17 cm
Answer» If the diagonals of a rhombus are 18 cm and 24 cm respectively, then its side is equal to (a) 16 cm (b) 15 cm (c) 20 cm (d) 17 cm

Discussion

2089.	Find the total surface area of a hemisphere and a solid hemisphere each of radius 10 cm (Use π=3.14)
Answer» Find the total surface area of a hemisphere and a solid hemisphere each of radius 10 cm (Use $π = 3.14$ )

Discussion

2090.	cot 15/2 degree is eqal to Sqrt2+Sqrt3+Sqrt4+Sqrt6
Answer» cot 15/2 degree is eqal to Sqrt2+Sqrt3+Sqrt4+Sqrt6

Discussion

2091.	At what rate percent per annum C.I will ₹ 2000 amount to ₹ 2662 in 3 years
Answer» At what rate percent per annum C.I will ₹ 2000 amount to ₹ 2662 in 3 years

Discussion

2092.

From the following information, prepare Receipts and Payments Account of Long-town Sports Club for the year ending 31st March, 2019: Particulars (₹) Particulars (₹) Opening Balance: Charity Given 10,000 Cash in Hand 50,000 Match Expenses 30,000 Cash at bank 60,000 Salaries 63,600 Subscription Received: Honorarium 4,000 2017-18 4,000 12% Investment Purchased 60,000 2018-19 1,40,000 Entrance Fees 4,000 2019-20 8,000 Interest on 12% Investments 6,000 Furniture Purchased 70,000 Closing Balance: General Donations 20,000 Cash in Hand 24,000 Donations for Tournament 40,000 Cash at Bank ?

Answer» From the following information, prepare Receipts and Payments Account of Long-town Sports Club for the year ending 31st March, 2019:


Particulars	(₹)	Particulars	(₹)
Opening Balance:		Charity Given	10,000
Cash in Hand	50,000	Match Expenses	30,000
Cash at bank	60,000	Salaries	63,600
Subscription Received:		Honorarium	4,000
2017-18	4,000	12% Investment Purchased	60,000
2018-19	1,40,000	Entrance Fees	4,000
2019-20	8,000	Interest on 12% Investments	6,000
Furniture Purchased	70,000	Closing Balance:
General Donations	20,000	Cash in Hand	24,000
Donations for Tournament	40,000	Cash at Bank	?

Discussion

2093.	The n th term of an A.P is 6n+2.Find the common difference
Answer» The n th term of an A.P is 6n+2.Find the common difference

Discussion

2094.	Choose the correct option to change the given sentence into indirect speech. “What about the other sister?” Officer Haden enquired.
Answer» Choose the correct option to change the given sentence into indirect speech. “What about the other sister?” Officer Haden enquired.

2094.

Choose the correct option to change the given sentence into indirect speech. “What about the other sister?” Officer Haden enquired.

Answer»

Choose the correct option to change the given sentence into indirect speech.

“What about the other sister?” Officer Haden enquired.

Discussion

2095.	The equivalent fraction of 2/9 with denominator 27 is
Answer» The equivalent fraction of 2/9 with denominator 27 is

Discussion

2096.	A cone 12cm high is cut 8cm from the vertex to form a frustum with a volume of 190cu.cm. Find the radius of the cone.
Answer» A cone 12cm high is cut 8cm from the vertex to form a frustum with a volume of 190cu.cm. Find the radius of the cone.

Discussion

2097.	A shopkeeper sells lemon juice. He fills glasses from a big cylindrical container of height 35.2 cm and radius 10 cm . He charges Rs. 10 for each glass of height 10cm and 4cm radius. The amount of money he earns by selling juice.(Take π= 227)
Answer» A shopkeeper sells lemon juice. He fills glasses from a big cylindrical container of height 35.2 cm and radius 10 cm . He charges Rs. 10 for each glass of height 10cm and 4cm radius. The amount of money he earns by selling juice.(Take $π$ = $\frac{22}{7}$ )

Discussion

2098.	Prove that each angle of an equilateral triangle is 60°
Answer» Prove that each angle of an equilateral triangle is 60°

Discussion

2099.	Which letter is the mode in the given sentence "Pam plucked the pink purple"
Answer» Which letter is the mode in the given sentence "Pam plucked the pink purple"

Discussion

2100.	Question 5 (iii)In the following figure, ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE intersects BC at F, show that:(iii) ar(ABC) = 2ar(BEC)
Answer» Question 5 (iii) In the following figure, ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE intersects BC at F, show that: (iii) ar(ABC) = 2ar(BEC)

Discussion

Explore topic-wise InterviewSolutions in .

The probability of guessing the correct answer to a certain question is x3. If the probability of not guessing the correct answer is x3, then find x.

The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If ∠DAC = 32o, ∠AOB = 70o, then ∠DBC is equal to:

When tested, the lives (in hours) of 5 bulbs were noted as follows: 1357, 1090, 1666, 1494, 1623. The mean deviations (in hours) from their mean is(a) 178 (b) 179 (c) 220 (d) 356

In the given figures, O is the centre of the given circles. Match the values of x.

The value of |4| × |-5 × 4| × 2

4. let z,z,z be three pairwise distinct complex numbers and t,t,t are non-negative real numbers such that t+t+t=1.prove that complex number z=tz+tz+tz lies inside a triangle with vertices z,z,z or on its boundary

11. If angle B and angle Q are acute angles such that sin B = sinQ, then prove that angle B = angleQ.

If A=30^°,prove sin3A=3sinA-4sinA

In △ABC, the exterior angle to A measures 110∘ and ∠C measures 30∘. What is the measure of ∠B?

The value of 1+cos θ1-cos θ is(a) cot θ − cosec θ(b) cosec θ + cot θ(c) cosec2 θ + cot2 θ(d) (cot θ + cosec θ)2

If the mean of 2,4,6,8,x,y is 5, then find the value of x + y.

Question 84Devangi's phone subscription charges for the period 17 - 02 - 09 to 16 - 03 - 09 were as followsPeriodAmount(in Rs)Service tax%17−02−09to23−02−09199.7512%24−02−09to16−03−09599.2510%Find the final bill amount,if 3 %education cess was also charged on service tax.

How to convert km/h in m/s

In the given figure, AB is a diameter of the circle. Chord ED is parallel to AB and ∠ EAB = 63o. Calculate : (i) ∠ EBA, (ii) ∠ BCD.

If the volumes of two cubes are in the ratio 8: 1, then the ratio of their edges is(a) 8 : 1(b) 22:1(c) 2 : 1(d) none of these

Match the following with the area of shaded regions in cm2.

ABCD is a parallelogram. AP the bisector of ∠A and CQ the bisector of ∠C meet the opposite sides in P and Q, respectively. Prove thatAP || CQ.

The number of non-empty subsets of the set {1,2,3,4} is

If two bars in a histogram have unequal widths but the same height, then which class interval will have a higher number of observations?

The average monthly salary of 20 workers in an office is Rs. 45900. If the manager's salary is added, the average salary becomes Rs. 49200 per month. What's manager's monthly salary?

In an equilateral ΔABC,AD⊥BC. prove that AD2=3BD2

(i) Draw the graph (straight line) given by equation x − 3y = 18.(ii) If the straight line drawn passes through the points (m,−5) and (6,n); find the values of m and n.

The marks of 24 candidates in the subject mathematics are given below: 45 48 15 23 30 35 40 11 29 0 3 12 48 50 18 30 15 30 11 42 23 2 3 44 The maximum marks are 50. Make a frequency distribution taking class intervals 0 – 10, 10-20…

An irrational no. lying between √4 & 5 is(1) √10÷2(2) √5÷2(3) √10(4) √20÷4

The factors of the polynomial equation P(x) = 4x3+x2+5x+8 are ?

Question 8 (i)Express 49 as the sum of 7 odd numbers.

The radius of the internal and external surfaces of a hollow spherical shell are 3 cm and 5cm respectively. If it is melted and recast into a solid cylinder of height 223 cm. Find the diameter of the cylinder.

If 3 cos θ = 5 sin θ, then the value of 5 sin θ-2 sec3 θ+2 cos θ5 sin θ+2 sec3 θ-2 cos θis(a) 271979(b) 3162937(c) 5422937(d) None of these

Question 3An exterior angle of a triangle is 105∘ and its two interior opposite angles are equal. Each of these equal angles is:A) 37 12∘B) 52 12∘C) 72 12∘D) 75∘​​​​​​​

Draw a triangle ABC with side BC=6 cm, AB=5 cm and∠ABC=60∘. Then construct a triangle whose sides are 34 of the corresponding sides of the triangle ABC.

If the volumes of two cubes are in the ratio 8:1, then the ratio of their edges is

Mod(X+1) + Mod(X-4) > 7

Which of the following is not true for a parallelogram? (a) Opposite sides are equal. (b) Opposite angles are equal. (c) Opposite angles are bisected by the diagonals. (d) Diagonals bisect each other.

36. Find the area of a traingle ,the radius of whose circumcirle is 3 cm and the lenght of the altitude drawm from the opposite vertex to the hypotenuse is 2cm?

Which of these points lie on the line 7x+8y=61?

If the diagonals of a rhombus are 18 cm and 24 cm respectively, then its side is equal to(a) 16 cm(b) 15 cm(c) 20 cm(d) 17 cm

Find the total surface area of a hemisphere and a solid hemisphere each of radius 10 cm (Use π=3.14)

cot 15/2 degree is eqal to Sqrt2+Sqrt3+Sqrt4+Sqrt6

At what rate percent per annum C.I will ₹ 2000 amount to ₹ 2662 in 3 years

The n th term of an A.P is 6n+2.Find the common difference

Choose the correct option to change the given sentence into indirect speech. “What about the other sister?” Officer Haden enquired.

The equivalent fraction of 2/9 with denominator 27 is

A cone 12cm high is cut 8cm from the vertex to form a frustum with a volume of 190cu.cm. Find the radius of the cone.

A shopkeeper sells lemon juice. He fills glasses from a big cylindrical container of height 35.2 cm and radius 10 cm . He charges Rs. 10 for each glass of height 10cm and 4cm radius. The amount of money he earns by selling juice.(Take π= 227)

Prove that each angle of an equilateral triangle is 60°

Which letter is the mode in the given sentence "Pam plucked the pink purple"

Question 5 (iii)In the following figure, ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE intersects BC at F, show that:(iii) ar(ABC) = 2ar(BEC)

Question 3An exterior angle of a triangle is 105∘ and its two interior opposite angles are equal. Each of these equal angles is:A) 37 12∘B) 52 12∘C) 72 12∘D) 75∘