81279 + Interview Questions in Mathematics QA in Mathematics

1.	13. How did the first organism evolve on the carth?1+2 3Describe on the basis of matcrial theory of the origin of the organism?
Answer» The first known single-celled organisms appeared on Earth about 3.5 billion years ago, roughly a billion years after Earth formed. More complex forms of life took longer to evolve, with the first multicellular animals not appearing until about 600 million years ago. Darwin published his theory of evolution by natural selection in On the Origin of Species in 1859. His theory means that all life, including humanity, is a product of continuing natural processes. The implication that all life on Earth has a common ancestor has met with objections from some religious groups.

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13. How did the first organism evolve on the carth?1+2 3Describe on the basis of matcrial theory of the origin of the organism?

Answer»

The first known single-celled organisms appeared on Earth about 3.5 billion years ago, roughly a billion years after Earth formed. More complex forms of life took longer to evolve, with the first multicellular animals not appearing until about 600 million years ago.

Darwin published his theory of evolution by natural selection in On the Origin of Species in 1859. His theory means that all life, including humanity, is a product of continuing natural processes. The implication that all life on Earth has a common ancestor has met with objections from some religious groups.

2.	25, on selling a T.V. at 5% gain and a fridge at 10% gain, a shopkeeper gains? 2,000. But ifhe sellsthe TV at 10% gain and the fridge at 5% loss, he gains? 1,500 on the transaction. Find the actual priceof T.V and fridge.
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3.	14. What must be added tox²+2x-3* +2x - 2x + x-1 so that the result is exactly divisible by12and 3723
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5.	If by selling an article for Rs 390, ashopkeeper gains 20%, then the costprice of article is
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7.	If 75C - 225A = 423, and 300A + 75B = 477, then what is the average of A, B and C
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8.	09Theinternallength-hreadtrandneightof aclosed box are 10 cm, 8 cm and 6 cmrespectively. The total outer surface area ofthe box is 592 cm2. If the walls of the boxare of uniform thickness x cm, then x equals
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9.	vi alone does a piece of work in 2 days andRajesh does it in 6 days. In how many dayswill the two do it together?
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11.	An article was purchased for Rs 1239 including GST of 18%. Find the price of thearticle before GST was added?
Answer» 1239 included 18% GSTso before GST=1239/1.18=1050

16.	37211) Find the product of-6x2yz and xy322.
Answer» Multiply-6x^2yz2/3xy^3z^2-2x^2yz2xy^3z^2=-4x^3y^4z^3

18.	11.An article was purchased fort 1239 including GST of 18%.article before GST was added?Find the price of the
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19.	11. An article was purchased for1239 including GST of 18%. Find the price of thearticle before GST was added?
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4.	J = ool otk वे ऐ0
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6.	o What should be subtracted from 372 to get 3529
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20.	Two cubes each of volume 27 cm^3 are joined end to end to form a solid. Find the surface area of the resulting cuboid.
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21.	,Twocubeseachofvolume27cmarejoinedendtoendtoformasolidthe surface area of the resulting cuboid.[CBSE 2011, 14
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22.	b) Find the values of a and b,a +bv2.*5-32iP$+372
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23.	4. The area of a rhombus is 360 sq. cm. If one of its diagonalsis 40 cm, find the other diagonaltor is 32 m, find its altitude
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24.	ectIfx--ëĽ is a zero of the polynomial p(x)-2kx2-7x + k, then find the value cfk.9 Gie nshsion for the leneth and breadth of a rectangle whose area is givet
Answer» Put x=1/2√3 2k/(12)-7(1/2√3)+k=0k/6-7√3/6+k=0k-7√3+6k=07k=7√3k=√3

28.	ous that,
Answer» L.H.S.=(cotx+cosecx-1)/(cotx-cosecx+1) =(cosx/sinx+1/sinx-1)/(cosx/sinx-1/sinx+1) =(cosx+1-sinx)/(cosx-1+sinx) =(2cos^2x/2-2sinx/2cosx/2)/ (-2sin^2x/2+2cosx/2sinx/2) =(2cosx/2(cosx/2-sinx/2))/ (2sinx/2(cosx/2-sinx/2)) =cosx/2/sinx/2 =cotx/2 =R.H.S.Hence Proved.

29.	1. Two cubes each of volume 27 cm are joined end to end to form solid.ICBSE 2011, 14Find the surface area of the resulting cuboid.
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31.	. Find the sum of the following APs:(() 2,7, 12,..., to 10 terms.
Answer» From which book have you taken this question? Please tell us so that we can provide you faster answer.

32.	In the given figure, AP is bisector of BAC suchthat AB =3 cm and AP= 5 cm, then PC is equal to.
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33.	5.Find the number of terms in each of the following APs
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34.	I. Find the sum of the following APs:() 2,7, 12 to 10 terms
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35.	1. Find the sum of the following APs:() 2,7, 12, . .., to 10 terms.
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Explore topic-wise InterviewSolutions in Current Affairs.

13. How did the first organism evolve on the carth?1+2 3Describe on the basis of matcrial theory of the origin of the organism?

25, on selling a T.V. at 5% gain and a fridge at 10% gain, a shopkeeper gains? 2,000. But ifhe sellsthe TV at 10% gain and the fridge at 5% loss, he gains? 1,500 on the transaction. Find the actual priceof T.V and fridge.

14. What must be added tox²+2x-3* +2x - 2x + x-1 so that the result is exactly divisible by12and 3723

J = ool otk वे ऐ0

If by selling an article for Rs 390, ashopkeeper gains 20%, then the costprice of article is

o What should be subtracted from 372 to get 3529

If 75C - 225A = 423, and 300A + 75B = 477, then what is the average of A, B and C

09Theinternallength-hreadtrandneightof aclosed box are 10 cm, 8 cm and 6 cmrespectively. The total outer surface area ofthe box is 592 cm2. If the walls of the boxare of uniform thickness x cm, then x equals

vi alone does a piece of work in 2 days andRajesh does it in 6 days. In how many dayswill the two do it together?

11. An article was purchased for 1239 including GST of 18%. Find the price of thearticle before GST was added?

An article was purchased for Rs 1239 including GST of 18%. Find the price of thearticle before GST was added?

Eine Rational &amp;Ausatianlbep (a) 3 anel(b) and 0 0(d Naahd 3(e) s and

न मेनन सडक,i = S1. 850 का 32% निम्नलिखित में से कौन है?(i) 282 (i) 272 (iii) 372 (iv) 382० 2५00 रु* का कितना प्रतिशत 750 रु० होगा?

Auki't travelt eom to hone partotk Ttrain anel partly by Car Hees g hr.train and the rest by Luruttandao nu'aLona er he Karel 2ootra in

Und V 3.3 Find the value of product : 372 472 12 32.4Simplif.

37211) Find the product of-6x2yz and xy322.

7. Cost Ol Dugu8. Divide po by (tor)

11.An article was purchased fort 1239 including GST of 18%.article before GST was added?Find the price of the

11. An article was purchased for1239 including GST of 18%. Find the price of thearticle before GST was added?

Two cubes each of volume 27 cm^3 are joined end to end to form a solid. Find the surface area of the resulting cuboid.

,Twocubeseachofvolume27cmarejoinedendtoendtoformasolidthe surface area of the resulting cuboid.[CBSE 2011, 14

b) Find the values of a and b,a +bv2.*5-32iP$+372

4. The area of a rhombus is 360 sq. cm. If one of its diagonalsis 40 cm, find the other diagonaltor is 32 m, find its altitude

ectIfx--ëĽ is a zero of the polynomial p(x)-2kx2-7x + k, then find the value cfk.9 Gie nshsion for the leneth and breadth of a rectangle whose area is givet

4*5/6+4-2

The area (ΔΟΑΒ) area (ΔΟΡΟ. Find theordinate of point A. ICBSE 2011 (September9.(-2, 6) PQIO B

Questioh ll7. Given that 2 is irrational, prove that (5+3/2) is an irrational number.1 1 m find the leneth of the altitude.

ous that,

1. Two cubes each of volume 27 cm are joined end to end to form solid.ICBSE 2011, 14Find the surface area of the resulting cuboid.

1. Two cubes each of volume 27 cm are joined end to end to form a solid.ICBSE 2011, 14Find the surface area of the resulting cuboid.

. Find the sum of the following APs:(() 2,7, 12,..., to 10 terms.

In the given figure, AP is bisector of BAC suchthat AB =3 cm and AP= 5 cm, then PC is equal to.

5.Find the number of terms in each of the following APs

I. Find the sum of the following APs:() 2,7, 12 to 10 terms

1. Find the sum of the following APs:() 2,7, 12, . .., to 10 terms.

1. Find the sum of the following APs:1) 2,7,12,..., to 10 terms.

(value) fac0.000064A) 0-2

4 5 64. Convert the following products into fac(i) 5.6.7.8.9.10

EXFind the sum of the following APs(1) 2,7,12,..., to 10 terms.1.

Find the sum of the following APs:(1) 2, 7, 12,..., to 10 terms.

7, ABC is an isosceles triangle with AB = AC, Draw AP BC. Show thatNCERT ICBSE 2011]

.If a + b + c =13, а^2 + b^2 + C^269. Then the value of ab + bc + ca

Find product :-fac, - 13 ca.

Which term of the AP:3,8, 13, 18, ...,is 78?4.5. Find the number of terms in each of the following APs-10/: ca 30

Draw a line segment AB of length 7 cm. Using ruler and compass, find a point P on AB suchAP 3AB 5that-=-.

EXERCISE 9A1.Draw a line segment AB of length 7 cm. Using ruler and compassesfind a point P on AB such that AP 3CBSE 2011AB 5

L. Which angle is included between the sides DE and EF of ADEF

2601-2500

Simplification of the following gives

present-1 -2V2i as a perfect square

Eine Rational &Ausatianlbep (a) 3 anel(b) and 0 0(d Naahd 3(e) s and

ectIfx--ëĽ is a zero of the polynomial p(x)-2kx2-7x + k, then find the value cfk.9 Gie nshsion for the leneth and breadth of a rectangle whose area is givet

36.	1. Find the sum of the following APs:1) 2,7,12,..., to 10 terms.
Answer» we know that sum of a.p =n/2(2a+(n-1)d=10(2×2+(10-1)5=10(4+45)=10×49=490

37.	(value) fac0.000064A) 0-2
Answer» √3√0.000064 = ((.000064)^1/2)^1/3= (.000064)^1/6= (64 x 10^-6) ^1/6= (2^6 x 10^-6)^1/6= 2 x 10^-1= .2

43.	Find product :-fac, - 13 ca.
Answer» 7ac +(-13ca)7ac - 13ac [ac = ca so i make it -13ca to -13ac]-6ac is the answer