24740 + Interview Questions in Mathematics Page 62 InterviewSolution

3051.	The circumference of a circle with centre O is divided into three arcs APB, BQC and CRA such thatarc APB2 = arc BQC3 = arc CRA4. Find ∠BOA.
Answer» The circumference of a circle with centre O is divided into three arcs APB, BQC and CRA such that $\frac{a r c A P B}{2} = \frac{a r c B Q C}{3} = \frac{a r c C R A}{4}$ . Find $∠ B O A .$

3051.

The circumference of a circle with centre O is divided into three arcs APB, BQC and CRA such thatarc APB2 = arc BQC3 = arc CRA4. Find ∠BOA.

Answer»

The circumference of a circle with centre O is divided into three arcs APB, BQC and CRA such that

$\frac{a r c A P B}{2} = \frac{a r c B Q C}{3} = \frac{a r c C R A}{4}$ . Find $∠ B O A .$

Discussion

3052.

From the following information, calculate Total Sales made during the period: ₹ Debtors as on 1st April, 2018 20,400 Cash received from debtors during the year (as per Cash Book) 60,800 Returns Inward 5,400 Bad Debts 2,400 Debtors as on 31st March, 2019 27,600 Cash Sales (as per Cash Book) 56,800

Answer» From the following information, calculate Total Sales made during the period:

	₹
Debtors as on 1st April, 2018	20,400
Cash received from debtors during the year (as per Cash Book)	60,800
Returns Inward	5,400
Bad Debts	2,400
Debtors as on 31st March, 2019	27,600
Cash Sales (as per Cash Book)	56,800

Discussion

3053.	If a polynomial has only two zeroes and they are 2 and 3, what is the polynomial?
Answer» If a polynomial has only two zeroes and they are 2 and 3, what is the polynomial?

Discussion

3054.	Question 3(a):Draw any circle and mark:Its centre
Answer» Question 3(a): Draw any circle and mark: Its centre

3054.

Question 3(a):Draw any circle and mark:Its centre

Answer»

Question 3(a):

Draw any circle and mark:

Its centre

Discussion

3055.	Write the rationalisation factor of 7-35.
Answer» Write the rationalisation factor of $7 - 3 \sqrt{5}$ .

Discussion

3056.	The equation (ax2+bx+c)(−ax2+dx+c) = 0 ; ac ≠ 0 , has
Answer» The equation $(a x^{2} + b x + c) (- a x^{2} + d x + c)$ = 0 ; ac $\neq$ 0 , has

Discussion

3057.	If diagonal of a rectangle is 26 cm and one side is 24 cm, find the other side.
Answer» If diagonal of a rectangle is 26 cm and one side is 24 cm, find the other side.

Discussion

3058.	Write the truth value (T/F) fo the following with suitable reasons:(i) A circle is a plane figure.(ii) Line segment joining the centre to any point on the circle is a radius of the circle.(iii) If a circle is divided into three equal arcs each is a major arc.(iv) A circle has only finite number of equal chords.(v) A chord of a circle, which is twice as long is its radius is a diameter of the circle.(vi) Sector is the region between the chord and its corresponding arc.(vii) The degree measure of an arc is the complement of the central angle containing the arc.(viii) The degree measure of a semi-circle is 180°
Answer» Write the truth value (T/F) fo the following with suitable reasons: (i) A circle is a plane figure. (ii) Line segment joining the centre to any point on the circle is a radius of the circle. (iii) If a circle is divided into three equal arcs each is a major arc. (iv) A circle has only finite number of equal chords. (v) A chord of a circle, which is twice as long is its radius is a diameter of the circle. (vi) Sector is the region between the chord and its corresponding arc. (vii) The degree measure of an arc is the complement of the central angle containing the arc. (viii) The degree measure of a semi-circle is 180°

Discussion

3059.	31. A hemispherical bowl made of brass has inner diameter 10.5cm . Find the coast of tin planting it on the inside at the rate of Rs 16 per 100 cm
Answer» 31. A hemispherical bowl made of brass has inner diameter 10.5cm . Find the coast of tin planting it on the inside at the rate of Rs 16 per 100 cm

Discussion

3060.	Draw the graphs of the lines 2x + y = 6 and 2x - y + 2 = 0. Shade the region bounded by these lines and the x - axis. Find the area of the shaded region.
Answer» Draw the graphs of the lines 2x + y = 6 and 2x - y + 2 = 0. Shade the region bounded by these lines and the x - axis. Find the area of the shaded region.

Discussion

3061.	5. Factorise:r3-2x2-x + 2(i)(iix3+13x2+32x+ 20
Answer» 5. Factorise: r3-2x2-x + 2 (i) (iix3+13x2+32x+ 20

Discussion

3062.	Calculate the area of a triangle which is formed by a diagonal of a parallelogram having an area of 246 cm2.
Answer» Calculate the area of a triangle which is formed by a diagonal of a parallelogram having an area of 246 ${c m}^{2}$ .

Discussion

3063.	Question 90In the following question, state whether the given statements are true (T) or false (F).am×bm=(ab)m
Answer» Question 90 In the following question, state whether the given statements are true (T) or false (F). $a^{m} \times b^{m} = (a b)^{m}$

3063.

Question 90In the following question, state whether the given statements are true (T) or false (F).am×bm=(ab)m

Answer»

Question 90

In the following question, state whether the given statements are true (T) or false (F).

$a^{m} \times b^{m} = (a b)^{m}$

Discussion

3064.	Which of the sets given below may represent the magnitude of three vectors adding to zero?
Answer» Which of the sets given below may represent the magnitude of three vectors adding to zero?

Discussion

3065.	a circle with centre O, chords AB and CDintersect inside the circle at E. Prove that ZAOC+ ZBOD = 2 AEC
Answer» a circle with centre O, chords AB and CDintersect inside the circle at E. Prove that ZAOC+ ZBOD = 2 AEC

Discussion

3066.	In the given figure, A, B and C are three points on a circle with centre O such that ∠BOC=30∘ and ∠AOB=60∘. If D is a point on the circle other than the arc ABC, find ∠ADC.
Answer» In the given figure, $A, B$ and $C$ are three points on a circle with centre $O$ such that $∠ B O C = 30^{\circ}$ and $∠ A O B = 60^{\circ}$ . If $D$ is a point on the circle other than the arc $A B C,$ find $∠ A D C$ .

Discussion

3067.	What is the coefficient of x2 in (2x−4)(x+6)2 ?
Answer» What is the coefficient of $x^{2}$ in $(2 x - 4) (x + 6)^{2}$ ?

Discussion

3068.	'Lines are parallel if they do not intersect' is stated in the form of(a) an axiom(b) a definition(c) a postulate(d) a proof
Answer» 'Lines are parallel if they do not intersect' is stated in the form of (a) an axiom (b) a definition (c) a postulate (d) a proof

Discussion

3069.	Make a frequency polygon from the given data.Weight(kg)NumberOfStudents35.5−40.5540.5−45.5245.5−50.51250.5−55.5255.5−60.545
Answer» Make a frequency polygon from the given data. $\begin{matrix} W e i g h t (k g) & N u m b e r O f S t u d e n t s 35.5 - 40.5 & 5 40.5 - 45.5 & 2 45.5 - 50.5 & 12 50.5 - 55.5 & 2 55.5 - 60.5 & 45 \end{matrix}$

3069.

Make a frequency polygon from the given data.Weight(kg)NumberOfStudents35.5−40.5540.5−45.5245.5−50.51250.5−55.5255.5−60.545

Answer»

Make a frequency polygon from the given data.

$\begin{matrix} W e i g h t (k g) & N u m b e r O f S t u d e n t s 35.5 - 40.5 & 5 40.5 - 45.5 & 2 45.5 - 50.5 & 12 50.5 - 55.5 & 2 55.5 - 60.5 & 45 \end{matrix}$

Discussion

3070.	Question 10An umbrella has 8 ribs which are equally spaced (see Fig. 12.13). Assuming umbrella to be a flat circle of radius 45 cm, find the area between the two consecutive ribs of the umbrella.
Answer» Question 10 An umbrella has 8 ribs which are equally spaced (see Fig. 12.13). Assuming umbrella to be a flat circle of radius 45 cm, find the area between the two consecutive ribs of the umbrella.

Discussion

3071.	Question 5To construct a triangle similar to a given ΔABC with its sides 85 of the corresponding sides of ΔABC draw a ray BX such that ∠ CBX is an acute angle and X is on the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on ray BX is(A) 5(B) 8(C) 13(D) 3
Answer» Question 5 To construct a triangle similar to a given $Δ$ ABC with its sides $\frac{8}{5}$ of the corresponding sides of $Δ$ ABC draw a ray BX such that $∠$ CBX is an acute angle and X is on the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on ray BX is (A) 5 (B) 8 (C) 13 (D) 3

Discussion

3072.	Find the slope (m) and the y-intercept (c) of the line x+y+5=0.
Answer» Find the slope (m) and the y-intercept (c) of the line $x + y + 5 = 0$ .

Discussion

3073.	If ΔABC∼ΔQRP,ar(ΔABC)ar(ΔPQR)=94, AB = 18 cm and BC = 15cm, then PR is equal to(A) 10 cm(B) 12 cm(C) 203 cm(D) 8cm
Answer» If $Δ A B C \sim Δ Q R P, \frac{a r (Δ A B C)}{a r (Δ P Q R)} = \frac{9}{4}$ , AB = 18 cm and BC = 15cm, then PR is equal to (A) 10 cm (B) 12 cm (C) $\frac{20}{3} c m$ (D) 8cm

Discussion

3074.	Mohan started a business on 1st April, 2018 with a capital of ₹ 25,000 and a loan of ₹ 12,500 borrowed from Shyam. During 2018-19 he had introduced additional capital of ₹ 12,500 and had withdrawn ₹ 7,500 for personal use. On 31st March, 2019 his assets were ₹ 75,000. Find out his capital as on 31st March, 2019 and profit made or loss incurred during the year 2018-19.
Answer» Mohan started a business on 1st April, 2018 with a capital of ₹ 25,000 and a loan of ₹ 12,500 borrowed from Shyam. During 2018-19 he had introduced additional capital of ₹ 12,500 and had withdrawn ₹ 7,500 for personal use. On 31st March, 2019 his assets were ₹ 75,000. Find out his capital as on 31st March, 2019 and profit made or loss incurred during the year 2018-19.

Discussion

3075.	Write the name of point where 2 lines intersect
Answer» Write the name of point where 2 lines intersect

Discussion

3076.	Priya lost her homework paper on polynomials and she doesn't remember the divisor which, on dividing the polynomial x3−3x2+x+2 gives quotient (x−2) and remainder (−2x+4). Find the divisor.
Answer» Priya lost her homework paper on polynomials and she doesn't remember the divisor which, on dividing the polynomial $x^{3} - 3 x^{2} + x + 2$ gives quotient $(x - 2)$ and remainder $(- 2 x + 4) .$ Find the divisor.

Discussion

3077.	Question 190Construct a square of side 4 cm.
Answer» Question 190 Construct a square of side 4 cm.

Discussion

3078.	What is the solution of the graph given below?
Answer» What is the solution of the graph given below?

Discussion

3079.	Write the denominator of the rational number 2575000 in the form 2m × 5n, where m,n are non-negative integers. Hence, write the decimal expansion, without actual division.
Answer» Write the denominator of the rational number $\frac{257}{5000}$ in the form $2^{m} \times 5^{n}$ , where $m, n$ are non-negative integers. Hence, write the decimal expansion, without actual division.

Discussion

3080.	Given a square of one unit side length. Four points are chosen on the square as shown. Then the quadrilateral EFGH so formed is a
Answer» Given a square of one unit side length. Four points are chosen on the square as shown. Then the quadrilateral EFGH so formed is a

3080.

Given a square of one unit side length. Four points are chosen on the square as shown. Then the quadrilateral EFGH so formed is a

Answer»

Given a square of one unit side length. Four points are chosen on the square as shown. Then the quadrilateral EFGH so formed is a

Discussion

3081.	On the number line √17 lies between
Answer» On the number line $\sqrt{17}$ lies between

Discussion

3082.	38×49×12 equals
Answer» $\frac{3}{8} \times \frac{4}{9} \times \frac{1}{2}$ equals

Discussion

3083.	Express each of the following decimals in the form pq :(i) 0.¯¯¯4 (ii) 0.¯¯¯¯¯¯37
Answer» Express each of the following decimals in the form $\frac{p}{q}$ : (i) 0. $¯ ¯ ¯ 4$ (ii) $0. ¯ ¯¯¯¯ ¯ 37$

3083.

Express each of the following decimals in the form pq :(i) 0.¯¯¯4 (ii) 0.¯¯¯¯¯¯37

Answer»

Express each of the following decimals in the form $\frac{p}{q}$ :

(i) 0. $¯ ¯ ¯ 4$ (ii) $0. ¯ ¯¯¯¯ ¯ 37$

Discussion

3084.	Find the zero of the polynomial in each of the following cases:(i) p(x) = 3x - 2(ii) p(x) = 3x(iii) p(x) = ax, a ≠ 0(iv) p(x) = cx + d, c ≠ 0, c, d are real numbers.
Answer» Find the zero of the polynomial in each of the following cases: (i) p(x) = 3x - 2 (ii) p(x) = 3x (iii) p(x) = ax, a $\neq$ 0 (iv) p(x) = cx + d, c $\neq$ 0, c, d are real numbers.

Discussion

3085.	Question 1 (i)Complete the following statement for exhaustive events E and not E:Probability of event E + Probability of event “not E” = ___.
Answer» Question 1 (i) Complete the following statement for exhaustive events E and not E: Probability of event E + Probability of event “not E” = ___.

Discussion

3086.	Question 2 (i)1500 families with 2 children were selected randomly, and the following data was recorded:Number of girls in a family210Number of families475814211Compute the probability of a family,chosen at random ,having 2 girls.
Answer» Question 2 (i) 1500 families with 2 children were selected randomly, and the following data was recorded: $\begin{matrix} Number of girls in a family & 2 & 1 & 0 Number of families & 475 & 814 & 211 \end{matrix}$ Compute the probability of a family,chosen at random ,having 2 girls.

Discussion

3087.	Question 8A rational number between √2 and √3 is A) √2+√32B) √2.√32C) 1.5D) 1.8
Answer» Question 8 A rational number between $\sqrt{2}$ and $\sqrt{3}$ is A) $\frac{\sqrt{2} + \sqrt{3}}{2}$ B) $\frac{\sqrt{2} . \sqrt{3}}{2}$ C) 1.5 D) 1.8

Discussion

3088.	Identify the figure with circle pattern
Answer» Identify the figure with circle pattern

Discussion

3089.	Question 3ABC is an isosceles triangle with AB = AC and D is a point on BC such that AD⊥BC (see figure). To prove that ∠BAD=∠CAD, a student proceeded as follows.In ΔABD and ΔACD, we have AB= AC [given]∠B=∠C [because AB=AC]And ∠ADB=∠ADCTherefore,ΔABD≅ΔACD [by AAS congruence rule]So,∠BAD=∠CAD [by CPCT]What is the defect in the above arguments?
Answer» Question 3 ABC is an isosceles triangle with AB = AC and D is a point on BC such that $A D ⊥ B C$ (see figure). To prove that $∠ B A D = ∠ C A D$ , a student proceeded as follows. In $Δ A B D$ and $Δ A C D$ , we have AB= AC [given] $∠ B = ∠ C$ [because AB=AC] And $∠ A D B = ∠ A D C$ Therefore, $Δ A B D ≅ Δ A C D$ [by AAS congruence rule] So, $∠ B A D = ∠ C A D$ [by CPCT] What is the defect in the above arguments?

Discussion

3090.	Given the area of rectangle is A=25a2−35a+12. The length is given as (5a−3).Find the width of the rectangle.
Answer» $Given the area of rectangle is A = 25 a^{2} - 35 a + 12. The length is given as (5 a - 3) . Find the width of the rectangle.$

Discussion

3091.	Question 66How many line segments are there in the figure of Q. No. 65?
Answer» Question 66 How many line segments are there in the figure of Q. No. 65?

3091.

Question 66How many line segments are there in the figure of Q. No. 65?

Answer»

Question 66

How many line segments are there in the figure of Q. No. 65?

Discussion

3092.	Match the two columns for the figure shown below.Column - IColumn - II(A) Area of □DABC(p) 41(B) Area of ΔADC(q) 126(C) Area ofΔABC(r) 306(D) AC(s) 180
Answer» Match the two columns for the figure shown below. $\begin{matrix} Column - I & Column - II (A) Area of □ D A B C & (p) 41 (B) Area of Δ A D C & (q) 126 (C) Area of Δ A B C & (r) 306 (D) AC & (s) 180 \end{matrix}$

3092.

Match the two columns for the figure shown below.Column - IColumn - II(A) Area of □DABC(p) 41(B) Area of ΔADC(q) 126(C) Area ofΔABC(r) 306(D) AC(s) 180

Answer»

Match the two columns for the figure shown below.

$\begin{matrix} Column - I & Column - II (A) Area of □ D A B C & (p) 41 (B) Area of Δ A D C & (q) 126 (C) Area of Δ A B C & (r) 306 (D) AC & (s) 180 \end{matrix}$

Discussion

3093.	In the figure, PSDA is a parallelogram in which PQ = QR = RS and AP \|\| BQ \|\| CR. Prove that ar (△PQE)=ar(△CFD)
Answer» In the figure, PSDA is a parallelogram in which PQ = QR = RS and AP \|\| BQ \|\| CR. Prove that ar $(△ P Q E) = a r (△ C F D)$

Discussion

3094.	Which of the following operations is represented by the above number line?
Answer» Which of the following operations is represented by the above number line?

Discussion

3095.	Factorise: a2x2+(ax2+1)x+a
Answer» Factorise: $a^{2} x^{2} + (a x^{2} + 1) x + a$

3095.

Factorise: a2x2+(ax2+1)x+a

Answer»

Factorise:

$a^{2} x^{2} + (a x^{2} + 1) x + a$

Discussion

3096.	Question 4The quadrilateral formed by joining the mid – points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if(A) PQRS is a rectangle(B) PQRS is a parallelogram(C) diagonals of PQRS are perpendicular(D) diagonals of PQRS are equal
Answer» Question 4 The quadrilateral formed by joining the mid – points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if (A) PQRS is a rectangle (B) PQRS is a parallelogram (C) diagonals of PQRS are perpendicular (D) diagonals of PQRS are equal

Discussion

3097.	Question 4Find the value of k, if x=2,y=1 is a solution of the equation 2x+3y=k.
Answer» Question 4 Find the value of k, if x=2,y=1 is a solution of the equation 2x+3y=k.

Discussion

3098.

Construct the histogram for the following grouped frequency distribution. Class intervals Frequency 0 - 35 70 35 - 50 15 50 - 60 20 60 - 100 40

Answer»

Construct the histogram for the following grouped frequency distribution.

Class intervals	Frequency
0 - 35	70
35 - 50	15
50 - 60	20
60 - 100	40

Discussion

3099.	1. find the number such that 8 is subtracted from 9 times the number,the result is more than twice the number. 2. Present age of A and B are in the ratio 5:6 two years ago , their ages were in the ratios 4:5. Find there present ages..
Answer» 1. find the number such that 8 is subtracted from 9 times the number,the result is more than twice the number. 2. Present age of A and B are in the ratio 5:6 two years ago , their ages were in the ratios 4:5. Find there present ages..

Discussion

3100.	Mudit, Sudhir and Uday are partners in a firm sharing profits in the ratio of 3 : 1 : 1. Their fixed capital balances are ₹ 4,00,000, ₹ 1,60,000 and ₹ 1,20,000 respectively. Net profit for the year ended 31st March, 2018 distributed amongst the partners was ₹ 1,00,000, without taking into account the following adjustments:(a) Interest on capitals 2.5% p.a.;(b) Salary to Mudit ₹ 18,000 p.a. and commission to Uday ₹ 12,000.(c) Mudit was allowed a commission of 6% of divisible profit after charging such commission.Pass a rectifying Journal entry in the books of the firm. Show workings clearly.
Answer» Mudit, Sudhir and Uday are partners in a firm sharing profits in the ratio of 3 : 1 : 1. Their fixed capital balances are ₹ 4,00,000, ₹ 1,60,000 and ₹ 1,20,000 respectively. Net profit for the year ended 31st March, 2018 distributed amongst the partners was ₹ 1,00,000, without taking into account the following adjustments: (a) Interest on capitals 2.5% p.a.; (b) Salary to Mudit ₹ 18,000 p.a. and commission to Uday ₹ 12,000. (c) Mudit was allowed a commission of 6% of divisible profit after charging such commission. Pass a rectifying Journal entry in the books of the firm. Show workings clearly.

Discussion

Explore topic-wise InterviewSolutions in .

The circumference of a circle with centre O is divided into three arcs APB, BQC and CRA such thatarc APB2 = arc BQC3 = arc CRA4. Find ∠BOA.

From the following information, calculate Total Sales made during the period: ₹ Debtors as on 1st April, 2018 20,400 Cash received from debtors during the year (as per Cash Book) 60,800 Returns Inward 5,400 Bad Debts 2,400 Debtors as on 31st March, 2019 27,600 Cash Sales (as per Cash Book) 56,800

If a polynomial has only two zeroes and they are 2 and 3, what is the polynomial?

Question 3(a):Draw any circle and mark:Its centre

Write the rationalisation factor of 7-35.

The equation (ax2+bx+c)(−ax2+dx+c) = 0 ; ac ≠ 0 , has

If diagonal of a rectangle is 26 cm and one side is 24 cm, find the other side.

31. A hemispherical bowl made of brass has inner diameter 10.5cm . Find the coast of tin planting it on the inside at the rate of Rs 16 per 100 cm

Draw the graphs of the lines 2x + y = 6 and 2x - y + 2 = 0. Shade the region bounded by these lines and the x - axis. Find the area of the shaded region.

5. Factorise:r3-2x2-x + 2(i)(iix3+13x2+32x+ 20

Calculate the area of a triangle which is formed by a diagonal of a parallelogram having an area of 246 cm2.

Question 90In the following question, state whether the given statements are true (T) or false (F).am×bm=(ab)m

Which of the sets given below may represent the magnitude of three vectors adding to zero?

a circle with centre O, chords AB and CDintersect inside the circle at E. Prove that ZAOC+ ZBOD = 2 AEC

In the given figure, A, B and C are three points on a circle with centre O such that ∠BOC=30∘ and ∠AOB=60∘. If D is a point on the circle other than the arc ABC, find ∠ADC.

What is the coefficient of x2 in (2x−4)(x+6)2 ?

'Lines are parallel if they do not intersect' is stated in the form of(a) an axiom(b) a definition(c) a postulate(d) a proof

Make a frequency polygon from the given data.Weight(kg)NumberOfStudents35.5−40.5540.5−45.5245.5−50.51250.5−55.5255.5−60.545

Question 10An umbrella has 8 ribs which are equally spaced (see Fig. 12.13). Assuming umbrella to be a flat circle of radius 45 cm, find the area between the two consecutive ribs of the umbrella.

Find the slope (m) and the y-intercept (c) of the line x+y+5=0.

If ΔABC∼ΔQRP,ar(ΔABC)ar(ΔPQR)=94, AB = 18 cm and BC = 15cm, then PR is equal to(A) 10 cm(B) 12 cm(C) 203 cm(D) 8cm

Write the name of point where 2 lines intersect

Priya lost her homework paper on polynomials and she doesn't remember the divisor which, on dividing the polynomial x3−3x2+x+2 gives quotient (x−2) and remainder (−2x+4). Find the divisor.

Question 190Construct a square of side 4 cm.

What is the solution of the graph given below?

Write the denominator of the rational number 2575000 in the form 2m × 5n, where m,n are non-negative integers. Hence, write the decimal expansion, without actual division.

Given a square of one unit side length. Four points are chosen on the square as shown. Then the quadrilateral EFGH so formed is a

On the number line √17 lies between

38×49×12 equals

Express each of the following decimals in the form pq :(i) 0.¯¯¯4 (ii) 0.¯¯¯¯¯¯37

Find the zero of the polynomial in each of the following cases:(i) p(x) = 3x - 2(ii) p(x) = 3x(iii) p(x) = ax, a ≠ 0(iv) p(x) = cx + d, c ≠ 0, c, d are real numbers.

Question 1 (i)Complete the following statement for exhaustive events E and not E:Probability of event E + Probability of event “not E” = ___.

Question 2 (i)1500 families with 2 children were selected randomly, and the following data was recorded:Number of girls in a family210Number of families475814211Compute the probability of a family,chosen at random ,having 2 girls.

Question 8A rational number between √2 and √3 is A) √2+√32B) √2.√32C) 1.5D) 1.8

Identify the figure with circle pattern

Given the area of rectangle is A=25a2−35a+12. The length is given as (5a−3).Find the width of the rectangle.

Question 66How many line segments are there in the figure of Q. No. 65?

Match the two columns for the figure shown below.Column - IColumn - II(A) Area of □DABC(p) 41(B) Area of ΔADC(q) 126(C) Area ofΔABC(r) 306(D) AC(s) 180

In the figure, PSDA is a parallelogram in which PQ = QR = RS and AP || BQ || CR. Prove that ar (△PQE)=ar(△CFD)

Which of the following operations is represented by the above number line?

Factorise: a2x2+(ax2+1)x+a

Question 4The quadrilateral formed by joining the mid – points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if(A) PQRS is a rectangle(B) PQRS is a parallelogram(C) diagonals of PQRS are perpendicular(D) diagonals of PQRS are equal

Question 4Find the value of k, if x=2,y=1 is a solution of the equation 2x+3y=k.

Construct the histogram for the following grouped frequency distribution. Class intervals Frequency 0 - 35 70 35 - 50 15 50 - 60 20 60 - 100 40

1. find the number such that 8 is subtracted from 9 times the number,the result is more than twice the number. 2. Present age of A and B are in the ratio 5:6 two years ago , their ages were in the ratios 4:5. Find there present ages..