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351.

If the ratio of the sum of n terms of two AP's is(3n + 1): (2n + 3), then find the ratio of their 11h term.

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352.

ORIt7 times the ih term of an A.P is equal to Il times its 11h term, then find its 18" term.

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write the polynomial 2x4-x2+8x in the coefficient from

353.

6. A person rowing at the rate of 5 km/h in still water, takes thrice as much time in going 40km upstream as in going 40 km downstream. Find the speed of the streamINCERTEXEMPLARI

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354.

Section-ID3A motor boat whose speed is 18 km/h in still water takes I hour more to go 2upstream than to returndauastream to the same spot. Find the speed of the st168

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355.

n. The points (-5. 2) and (2.-5) lie on the(a) Saae quadrant(c) Il & IV quadrant respectively(b) lI & IIl quadrant respectively(d) IV & Il quadrant respectively

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(c) In point (-5,2), x-coordinate is negative and y-coordinate is positive, so it lies in II quadrant and in point (2, – 5), x- coordinate is positive and y-coordinate is negative, so it lies in IV quadrant.

356.

ateral ABCD, CO and DO are the bisectors of C and4Drespectively.and ZD respectively.rove that ZCODLA+ LB).

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Angle COD= 180°- 1/2angle C-1/2 angle D=180°-1/2(angle C+D)----------(1)

Angle (A+B+C+D)=360°

AngleC+D= 360° - AngleA- angle B--------------(2)

Substituting (2) in (1)

Angle COD= 180°-1/2(360°- angle A- Angle B)

Angle COD= 180°-180°+1/2 Angle A + 1/2 Angle B= 1/2(Angle A+ Angle B)4.5

357.

Find the two irrational numbers between 0.5 and 0.55.

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358.

respectively.27. Find the greatest number that will divide 445, 572 and 699, leaving remainders 4,respectively.divide 145, 572 and 690. leaving remainders 4, 5, 6

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Since the respective remainders of 445, 572 and 699 are 4, 5 and 6, we have to find the number which exactly divides (445-4), (572-5) and (696-6).

So, the required number is the HCF of 441, 567 and 693.Firstly, we will find the HCF of 441 and 567.

∴ HCF = 63

Now, we will find the HCF of 63 and 693.

∴ HCF = 63

Hence, the required number is 63.

359.

20S.The 5, 8th and 11h terms of a G.P. are p, q and s, respectively. Showare p, q and s, respectively. Showthat q ps,o srt.

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360.

5.The product of any two irrational numbers isa) always an irrational numbers b always a rational numberc) always an integer d) sometimes rational, sometimes irrational.always a rational nu

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361.

Trove that the givenirrationals.numbers que15+1753

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let 15+17root 3 be a rational no.Then 15 is rational and 15+17root 3 is rational(15+17root 3-15) is also rational because difference of two rationals is rationaltherefore 17root 3 is rationalNOW,17root 3 is rational and 1/17 is rational(17root 3×1/17) is also rational because product of two rationals is rationalit shows that root 3 is rational So,our assumption is wrong Hence,(15+17root3) is irrational

362.

3. Prove that the following are irrationals(i) 75

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Let√2 be a rational number

Therefore,√2= p/q [ p and q are in their least terms i.e., HCF of (p,q)=1 and q≠ 0

On squaring both sides, we get p²= 2q² ...(1)Clearly, 2 is a factor of 2q²⇒ 2 is a factor of p² [since, 2q²=p²]⇒ 2 is a factor of p

Let p =2 m for all m ( where m is a positive integer)

Squaring both sides, we get p²= 4 m² ...(2)From (1) and (2), we get 2q² = 4m² ⇒ q²= 2m²Clearly, 2 is a factor of 2m²⇒ 2 is a factor of q² [since, q² = 2m²]⇒ 2 is a factor of q

Thus, we see that both p and q have common factor 2 which is a contradiction that H.C.F. of (p,q)= 1

Therefore, Our supposition is wrong

Hence1/√2 is not a rational number i.e., irrational number.

363.

3.Prove that the following are irrationals:() 7V5(ii) 6+ V2

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364.

Is the product of two irrational numbers alwaysan irrational number ?

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365.

Find atleast two irrational numbers between 2 and3

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366.

9. Find any two irrational numbers betweenand

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367.

Give two irrational numbers between 2 and 25.

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give me ans

368.

Find two irrational numbers between 0.7 and 0.77

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.7,.√756,√.765

Use the property of geometric means. Between any 2 numbers a and b, provided ab is not a perfect square, ab−−√ is an irrational number.

In your case, ab=0.7×0.77=0.539. So 0.539−−−−√ is one irrational number.

For the other irrational number, your choices are 0.7×0.539−−−−√−−−−−−−−−−√ or 0.77×0.539−−−−√−−−−−−−−−−−√.

369.

1)V7. Write a pair of irrational numbers whose sumis irrational.whose sum

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A pair of such irrrational numbers is π and (2)^1/2.

Show proper answer

370.

necessarily an irrational number? Justify your answer with an example.5. Is the product of two irrationals always irrational? Justify your answer.

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4 is the correct answer

answer is 4.........

4 is a correct answer

371.

VI. w2IV. u? = 1V. v2 = 3VII. t2 = 0.4Give an example of two irrational numbers whose:I. Difference is a rational numberIII. Product is an irrational numberII. Sum is a rational numbIV. Quotient is an irrationaAvanti

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372.

3. Prove that each of the following numbers is w adlial46(viii) (2-35)V5ix) (W3+V5)rove thatis irrational.V35. (i) Give an example of two irrationals whose sum is ra(i) Give an examples of two irrationals whose produc

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kon sa banana ha questions

similarly you can done half of the problem. first one is easy you will get a contradiction as gcd is not 1 in that.

373.

t9. The product of two irrational numbers is(a) always irrational(b) always rational(c) always an integerid) sometimes rational and sometimes irrati

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374.

Prove that 3 +2V5 is irrationalProve that the following are irrationalsV2(i) 1V5(ii) 6+V2

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375.

11. In a violent starm, a tree got bent by the wind. The top of the tree meets the ground a anangla of 30°, at a distance of 30 m from the root. At what height from the bottom dio thetree get bent? What was the original height of the tree?Take, v3 1.73]

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376.

Lengths of the diohs of the diagonals of a rhombus are 15cm and 24 cm, find its area.

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diagonols = 15 and 24area of rhombus= 1/2 * product of diagonols = 1/2 * 24 *18 = 216 cm square

377.

Find two irrationals between V2.91 & V2.92

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root2.91911&root2.913133

378.

naturalnuUe13Ie sum of squares of two consecutiven the orange garden of Mr. Madhusudan there are 150 orange trees.trees in each row is 5 more than that in each column. Find the numbe2.. Ieach row and each column with the help of following flow chartNo. of trees in acolumn is xNo. of trees Total no. of trees-→|in row = . . .No. of trees inFind xFrame←|quadraticequationcolumnno. of trees in a row

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No. Of trees in each column is xNo. Of trees in row = x + 5Total no. Of trees = 150

Quadratic equationx * (x + 5) = 150x^2 + 5x - 150 = 0x^2 + 15x - 10x - 150 = 0x(x + 15) - 10(x + 15) = 0x = - 15, 10

Value of x can not be - veSo x = 10

Number of trees in column = x = 10Number of trees in row = x + 5 = 10 + 5 = 15

379.

ite the numeral for each of the following:Fifty-three lakh forty-nine thousand seven hundred and eighteen.Nine crore two lakh thirty-seven thousand four hundred and fifteenSeventy crore fifty-three lakh forty-nine thousand seven hundred and eighteen.

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1)53497182)902374153)705349718

1) 53497182) 902374153) 705349718

380.

Write the numeral for each of the following numbers.(a) Sixty-two lakh seven thousand nine(b) Three crore one lakh seventy-five thousand twenty(c) Nineteen crore sixty-four lakh seven thousand one hur

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62,07,009 3,01,75,02019,64,07,100

381.

L-3 UU6. Find the inverse of the matrix A by the elementary operation row (column) transformation:-1(ii) 13121231

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382.

In the orange garden there are 150 orange trees. The number of treesin each row is 5 more than that in each column. Find the number of treesin each row and column.

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The total no. of trees are 150.

Let no. of trees in each column be tno. of trees in each row = t + 5Total no. of trees = no. of trees in each row X no. of trees in each column

150 = t ( t+ 5 )150 = t² + 5tt² + 5t - 150 = 0t² + 15t - 10t - 150 = 0t(t + 15) -10(t + 15) = 0(t - 10)(t + 15) = 0t = 10 or -15But t cannot be negative as it is no. of trees.

So, t = 10

Therefore, no. of trees in each row is 10 + 5 = 15and in each column is 10.

383.

lbersthe orange garden of Mr. Madhtrees in each row is 5 moreMausudanis144there are ISach column. Find thePrOsum of squalesadhusudan there are 15Thege tthanumn with the help of following flow chant.No. of treesfNo. of trees in acolumn is xTotal no. of trein row. ..Find xNo. of trees incolumnFrame .14quadraticequationno. of trees in a row

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Number of trees in row = x + 5Total number of trees = 150x(x + 5) = 150x^2 + 5x - 150 = 0x^2 + 15x - 10x - 150 = 0x(x + 15)-10(x + 15) = 0(x - 10)(x + 15) = 0x = 10, - 15

Number of trees in each row =>x = 10

Number of trees in each column =>x + 5 = 10 + 5 = 15

384.

In a magic square each row, column and diagonal have thesame sum. Check whether this is a magic square-1-4-5-20.3

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385.

her things plopate 22.919How complete these addition tables.+ T! 3:5+1--AIN-'+--WIN----IIIWORD PROBLEMSRaj has 4 bananas. His mother gives him 4 applHow many fruits does Raj have?

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2 4 6. 2 3 53 5 7. 1 2 45 7 9. 5 6 8

Q. NO. 1blank, 1st row, 1+1=2,1+3=4,1+5=62nd row, 2+1=3,2+3=5,2+5=73rd row 4+1=5,4+3=7,4+5=9Q. No. 21st row, 1+1=2,1+2=3,1+4=52nd row, 0+1=1,0+2=2,0+4=43rd row, 4+1=5,4+2=6,4+4=8

386.

on selling a table for ₹987 ramesh loses 6 %.find how much did he purchase it ?

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Let the cp be xsp=cp-loss987=x-6/100xx=1050Ramesh purchased it for ₹1050

how the answer comes without simplification.can u explain me

387.

(iv) 24 Bananas were distributed between Shubham and Anil in the ratio 3 :5, then howmany bananas did Shubham get?(A) 8 (B) 15 (C)12(D) 9

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let the number of banana shubham get is 3k and anil be 5k3k + 5k=24k= 3so, the number of banana shubham get is 3k=3×3=9

388.

9.na nguruGauri had 15 bananas and 20 apples. She distributed these fruits among Ria wand Sonia. She gave of the bananas and is of the apples to Ria. Mona got?the bananas and of the apples. Remaining fruits were given to Sonia. Find(a) How many apples did Ria get 2. How many appes and barangdioSonio de

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like here plz ......

389.

jake paid $13.50 for admission to the country fair and brought 9 tickets to play games. if he spent a total of $36 what is the cost, c, of one ticket

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the cost of one ticket is c

Then total money spent$13.50 + 9c = $369c = $36 - $13.59c = $22.5c = $2.5

Cost c of one ticket = $2.5

390.

6. A household purchases 40 units of a good when its price is Re. 1 per unit. Atwhat price he would purchase 36 units of it if coefficient of price elasticity ofdemand is unitary

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1.1111 is right answer

1.1111 is the correct Answer

1.1111 is the right answer

1.1111 is correct answer

40 unit purchase rs 40 later on 36 unit rs 4040÷36= 1.11per unit price Rs. 1.11

1.1111 is correct answer

1-140-4036-36answer

1.1111 it the correct answer bro

correctansweris 1,111

1.1111 is the correct answer of the following

1.111 is the correct answer to this question

the correct answer is 1,111 of the following question

1.1111 is the answer

hi

1.1111 is the correct answer of this question

1.1111is the correct answee

1111 is the correct answer

391.

A clothing store is having a going-out-of-business sale where every purchase is 35% off theoriginal purchase price, p. Four of the store's cashiers write expressions to determine the sprice of any purchase.Alida: p(1-0.35)Brett: 0.65pClaudia: p-0.35pDervicks 1.35pWhich cashier is incorrect?A AlliciaB Brettะก ClaudiaD Derrick

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Original cost = p

sale discount=35% of p=35/100×p= 0.35p

Cost after discount = p - 0.35p

which is equivalent to

p(1 - 0.35)

0.65p

So, Derrick is wrong

option (D) is correct

392.

6.A man had enough money to purchase 16 apples or10 mangoes. If the man buys four apples and fivemangoes and is left with 20, then what is thedifference in the prices of an apple and a mango?(A) 2 (B) 3 (C) 4 (D) 6

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Let the apple be denoted as 'x' and mangoes be denoted by 'y'. And the money he carrying be 'm'

Now, man can purchase 16x=10y=m

A/c to the statement, he bought 4x+5y=m-204*(m/16)+5*(m/10)=m-20m/4+m/2=m-208m-6m=160m=80 Rupees

Therefore, for apples 16x=mi.e. x=80/16One apple cost x=5 Rs.

Similarly for mangoes 10y=mi.e. 10y=80Price of 1 mango is y=8 Rs.

And the difference between them is Rs: 3

393.

A seller selling 10 books for f 15profit and also calculate purchase price per book.carns a profit equal to the purchase price of the books. Find the percentage5 raise per int.[Ans. Profit 100%. Purchase Price 7kach at a loss of 5%, what did

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394.

10. On selling a sofa-set for21600, dealera dealer gains 8%. For how much did he purchaseh aud he purchase ?

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395.

(ii) If the sales tax on a purchase worth? 60 is? 4.20, what will be the sales taxon a purchase worth 150 ?(a) 10.50 (b) 105(c)1050(d)1.05

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396.

तय पल ek7. 1+cosx

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hit like if you find it useful

397.

Which of the following solid will hav10 faces:(A) Octagonal pyramid(B) Pentagonal prism(C) Pentagonal pyramid(D) Octagonal prism

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octagonal prism has10 faces

398.

i^1000 %2B i^110 %2B i^10 %2B 1

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i^10= (i⁴)² .i²= -1i^110 = (i⁴)^25×(-1)= -1i^1000= (i⁴)^250= 1

now1 + i^10+ i^110- i^1000=1 + (-1) + (-1) +1=0

0 is the correct answer of the given question

=1+(-1)+(-1)+1=2-2=0 the correct answer is 0

1-1-1+1=0 is the right answer

399.

८ है (81BE 8Y ek 1 LRyfCO0Z कक की

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400.

sinx costant = k thenCIC'1 akek Tis equal to

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