InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 78601. |
s Find the cost of carpeting a room 13 m by 9 m with a cรกrpet U105 per metre.The cost of carpeting a room 15 m long with a carpet of width 75 cm at19200. Find the width of the room80 per metreisur nierr of land are in the ratio of 5: 3. If the total cost |
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Answer» Let the width of the room be 'b' m Length of the room = 15 m Area of the room = 15 × b = 15b m2 Total cost of carpeting = Rs 19200 Cost of carpet per metre = Rs 80 Length of the carpet = 19200 / 80 = 240 m Width of the carpet = 75 cm = 0.75 m Area of the carpet = 240 x 0.75 Area of the room = Area of the carpet ⇒15b = 240 × 0.75 ⇒ b = (240 × 0.75) / 15 = 12 Therefore, width of the room is 12 m. hit like if you find it useful |
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| 78602. |
3) Solve the following questions : (Any Two)(1) When 5 is subtracted from length and breadth of the rectangle, the perimeterbecomes 26. What is the mathematical form of the statement? |
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| 78603. |
(a^4/3)×(b^-1/3)+(a^2/3)×(b^1/3)=_________ |
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| 78604. |
a ^ { 1 / 3 } + b ^ { 1 / 3 } + C ^ { 1 / 3 } = 0 \text { then } ( a + b + c ) ^ { 3 } = |
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| 78605. |
त।[1 4 07 3 2 1 3 2 1e=2 3 . B =1 2 3 तथा ८=1 23. ४८3 6 2 4 36 ।। १ ।।*३. ॐॐ |
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| 78606. |
105 per meue.cost of carpeting a room 15 m long with a carpet of width 75 cm at ? 80 per metre is19200. Find the width of the room. |
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| 78607. |
a*((c*((b*(a^(-2))^(1/3))*(b^(-2))^(1/3)))*(c^(-2))^(1/3)) |
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Answer» (a)^-2/3*b * (b)^-2/3*c * (c)^-2/3*a = (a)^[-2/3 + 1] * (b)^[-2/3 + 1] * (c)^[-2/3 + 1] = a^1/3 * b^1/3 * c^1/3 = (abc)^1/3 |
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| 78608. |
EXERCISE 3.10lculate the size of the unknown angles in these polygons.Give reasons for your answers.10070°(110° |
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Answer» a = 115° + 100° + 70° + a = 360° a = 275°- 360°a = 85° 115°+100°+70°+a=360°275°+a = 360°a=360°-275°a=85° sum of this figure is 360 ,115+100+70+a=360 ,a =360-275 ,a =275 the total no. of sum of angles in a polygon is 360. 115+100+70+X= 360X= 85. a+115°+70°+100°=360° ( A.S.P of parallelogram)a+285°=360°a=360°- 285°a=75° 115+100+70+a=360285+a=360a=360-285a=75 |
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| 78609. |
|काता, मु6. यदि 2:(1+3)::6:x, तो x का मान होगा-(a) ,3 -3 (b) 1+3 (c) 1-5 |
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Answer» root(2):(1+root(3)::root(6):x root(2)*x = root(6)*(1+root(3)) x = root(2)*root(3)(1+root(3))/ root(2) x = root(3)(1 + root(3)) x = root(3) + 3 |
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| 78610. |
EXERCISE 13.3Find the number of lines of symmetry in each of the following shapes.How will you check your answers? |
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Answer» a) it has four lines of symmetryb) it has only one line of symmetryc) it has four lines of symmetry |
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| 78611. |
5. The area of a square is equal to the expression(4x2 + 6 6x 9) sq units. Find an algebraicexpression for the length of the side of the square.Hint: Use method "factorisation by grouping")95 |
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| 78612. |
If in an A.P. the sum of m terms is equal to n andthe sum of n terms is equal to m, then prove thathe sum of (m + n) terms is -(m +n). |
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Answer» First term = a , common difference = d Sm = n →m/2(2a + (m-1)d) =n …….(1) Sn = m →n/2(2a + (n-1)d) =m ……..(2) Eq. (2) – (1) 2a(n-m) + d(n2-n-m2+m)=2m-n n-m{2a + d(n+m-1)}=-2(n-m......(3) 2a + d(n+m-1) = -2 Now, Sm+n = m+n/2{2a+(m+n-1)d} =-(m+n)(using eq. 3) |
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| 78613. |
If the sum of m terms of an AP is the same as the sum of its n terms, show that (m + n) terms is zero |
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| 78614. |
Q. 28. If in an A.P. the sum of m terms is equal to n andthe sum of n terms is equal to m, then prove thatthe sum of (m +n) terms is -(mn). |
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Answer» First term = a , common difference = d Sm = n →m/2(2a + (m-1)d) =n …….(1) Sn = m →n/2(2a + (n-1)d) =m ……..(2) Eq. (2) – (1) 2a(n-m) + d(n2-n-m2+m)=2m-n n-m{2a + d(n+m-1)}=-2(n-m) …….(3) 2a + d(n+m-1) = -2 Now, Sm+n = m+n/2{2a+(m+n-1)d} =-(m+n) (usingeq. 3) |
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| 78615. |
㏠Sive the geometric representations of ym) as an equation0) in one variablei) in two variablesuation |
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Answer» thanks |
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| 78616. |
2 .If the sum of m terms of an AP is the same as the sum of its n terms , Show that the sum of its (m+n) terms iszero |
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Answer» Given sum of m terms of and A.P. is the same as the sum of its n terms We know sum of n terms of AP= n/2(2a+(n-1)d)Therefore sum of m terms =m/2(2a+(m-1)d)----(1) sum of n terms=n/2(2a+(n-1)d)-----(2) According to the problem (1)=(2) m/2(2a+(m-1)d)=n/2(2a+(n-1)d) 2ma+(m2-m)d=2na+(n2-n)d (2m-2n)a=(n2-n)d-(m2-m)d 2(m-n)a=n2d-nd-m2d+md 2a(m-n)=-d(m-n)(m+n-1) a=-d/2(m+n-1)----(3) From (3) we got a,sum of m+n terms = m+n/2(2(-d/2(m+n-1)+(m+n-1)d)which is 0 Hence sum of its(m+n) terms is Zero |
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| 78617. |
Show the graph of linear equatin in two variables x+y=4 |
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| 78618. |
The perimeter of a rectangle is 0 em. Writethe information in mathematical form usingtwo variablesmisle triangle is 25 |
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Answer» I want to know the answer bahi photo sahi se le lo |
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| 78619. |
. The cost of carpeting a room 15 m long with a carpet of width 75 cm at R 80 per metre is? 19200. Find the width of the room. |
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| 78620. |
The cost of carpeting a room 15 m long with a carpet of width 75 cm at 80 per metre isR 19200. Find the width of the room. |
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| 78621. |
7. The cost of carpeting a room 15 m long with a carpet of width 75 cm at 80 per metre isて19200, Find the width of the room. |
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| 78622. |
Find the cost of carpeting a room 13 m by 9 m with a carpet of width 75 cm at t105 per metre. |
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Answer» apap |
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| 78623. |
7ax^2+14ax+7a |
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| 78624. |
च༠+7a -8 | |
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| 78625. |
ANSWERS EXERCISE 3C)2 (+16) (x + 2) |
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Answer» (a+b)(a+c)= a^2+ac+bc+abx^2+2x+16x+32x^2+18x+32 Answer |
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| 78626. |
2 -1 0Illu. 17: If A 3 2and17-13B1-24-1-16] and if 4A + 3C-B,-7 1 1then find the matrix C.(March 2009) |
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| 78627. |
1. Subtract the algebraic expression.5a-4b+3c from 3a-2b-7c |
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| 78628. |
(iii) (12a17b): 4c |
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Answer» 48ac+68bcwill be the answerplease like the solution 👍 ✔️ |
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| 78629. |
if 2A = 3B = 4C then A : B : C = ? |
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Answer» 2A = 3B = 4C = k A = k/2 B = k/3 C = k/4 A : B : C = k/2 : k/3 : k/4 = 6 : 4 : 3 |
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| 78630. |
CIUTIU20.3. Subtract the sum of -250 and 138 from the sum of 136 and -272.4. From the sum of 33 and -47 zuhiront |
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| 78631. |
16. If the sum of 8 terms of an A.P. is 64 and the sum of 19 terms is 361, find thesum of n terms |
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| 78632. |
6. □ABCD is a cyclic quadrilateral,mLA=(4x +25°andmLC_ (5x+20)。.Find the value of x and mLC.(1) 15: 75° (2) 15: 80° (3) 15: 85° () 15; 95° |
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Answer» Opposite angle in cyclic have sum 180°So,angle A + angle C = 180°4x + 25 + 5x + 20 = 180°9x + 45 = 180°9x = 180° - 45°9x = 135°x = 135°/ 9x = 15°So, angle C = 5x + 20 = 75 + 20 = 95°(4) option is correct |
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| 78633. |
EXERCISE. 4AGive the geometric representations of y - 3 as an equationin one variablein two variables |
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| 78634. |
Give the geometric representations of 2x +9(i) in one variable(ii) in two variables0 as an eq |
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| 78635. |
y mctusclbougnt101 0122.5 metres of a uniform rod weighs 85.5kg. What will be the length of the same rod weighing22.8kg?6. If |
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| 78636. |
If x = (2+15)2+2-.52 and y = (2 +15)2-(2-5)2, then evaluate x ty2 |
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| 78637. |
-48 %2B 3 %2B 2*15 %2B 15 |
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| 78638. |
Factorise:1. *-364. 4x*-9y7. 169'-14410. 12x' 2713, 3x - 48x16. 1-fb-'14, 2754) |22. *'-y'-2y - 125. 9a'b' +4b-427. Evaluate (1405)-(395)').2. 4a²-93. 81-49x5. 16a' - 22556. 9a'b? 258. 6302-112b9. 20a -45b11. *° -64x12. 16x144 x14. 16p_4p15. 63a'b?-717. (2013b)* - 16c 18. (I + m) - (1 -m)?20. 36c'-(5a + b21. (3x - 4y) - 25z23. 25-a?-b? - Zab 24. 25a" - 45% +28bc-49026. 100--5)28. Evaluate (7.8)? - (2.2)). |
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Answer» Factorise:1.x^2-36. =x^-6^2=(x+6)(x-6). (using a^2-b^2) x^2-36x^2-6^2=(x+6)(x-6) 2.4a^2-9=(2a)^2-(3)^2=(2a+3)(2a-3) |
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| 78639. |
Add 3a (2b + 5c) , 3c (2a + 2b) |
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Answer» 3a(2b+5c) +3c(2a+2b) = 6ab+15ac+6ac+6bc = 6ab+21ac+6bc = 6(ab+3.3ac+bc) plz any other reply |
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| 78640. |
dm by 5 dm. Find the number of stones required.s Find the cost of carpeting a room 13 m by 9 m with a carpet of width 75 cm at the rate of105 per metre.15 m lone with a carpet of width 75 cm at80 per metre is |
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Answer» Like my answer if you find it useful! |
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| 78641. |
(a + 2b +3c) |
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| 78642. |
-3a+2b-3C FROM 4a+b+2c |
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| 78643. |
(-7a^2b^3c^0)____________(3a^3b^4c^3) |
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Answer» Can you please specify the question ! :) It's written in fraction form like this Thank you so much! |
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| 78644. |
a b c a-2b+3c1 1) If~ ===-=-ma-, then find then value of x. |
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Answer» we take all value in a formsso, b/4=a/3b=4a/3similarly, c=5a/3 given, a-2b+3c/x = a/3so put the value of 'b' and 'c' in 'a' form, (a-8a/3+15a/3) / x =a/3on solving it, we get, 3a-8a+15a / 3x = a/310a/x=ax=10a/ax=10(Answer) _____________________ |
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| 78645. |
. Subtract (2a -3b + 4c) from the sum of (a +3b 4c), (4a - b + 9c) and (-2b + 3c - a). |
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Answer» (a+3b+4c+4a-b+9c-2b+3c-a)-(2a-3b+4c)=(4a+4c)-(2a-3b+4c)=4a+4c-2a+3b-4c=2a+3b waste not the correct a ms pulka |
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| 78646. |
Give examples of an equation of one variable and an equation of two variables. |
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Answer» x = 2 is an equation in one variablex+y = 6 is an equation in two variablewhere x and y are two variable Thankyou 😊😊 |
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| 78647. |
. Subtract the sum of 4a -2b +3c-9 and3b + 4c from the sum of 6b - 6c + 12 and |
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| 78648. |
Exercise f.lGive any two examples for linear equations in one variable. |
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Answer» x - 2 = 7Given, x – 2 = 7By adding 2 to both sides, we getx – 2 + 2 = 7 + 2⇒ x = 7 + 2⇒ x = 9y + 3 = 10Given,y + 3 = 10By subtracting 3 from both sides, we gety + 3 – 3 = 10 – 3⇒ y = 10 – 3⇒ y = 7 |
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| 78649. |
draw the graph of each of the following linear equations in two variables first one x+y=4 |
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| 78650. |
If 22.5 m of a uniform iron rod weighs 85.5 kg, whatsame rod?much oil will th |
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