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1601.

|LA बहुपद ।। । कल । तखB

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1602.

f(x)=3 x+5, \text { evaluate } f(7)-f(5)

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1603.

f ( x ) = \frac { x ^ { 2 } - 25 } { x - 5 } \text { then } f ( 5 )

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f(x) = x²-25/(x-5) = (x+5)(x-5)/(x-5) = (x+5)

so, f(5) = 5+5 = 10.

1604.

6.Find the radius of a sphere whose surface area is 154 cm2

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1605.

25-30x-2y) 12.

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25 ( x + y)² - 36 ( x - 2y)²

(5(x+y))² - ( 6 ( x-2y))²

(5x + 5y)² - (6x - 12y)²

(5x + 5y - 6x + 12y) ( 5x + 5y + 6x - 12y)

(-x + 17y) ( 11x -7y)

1606.

5*(text*(((-3)/5)*(f*(r*(m*o)))))

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-28/5 is the correct answer of the given question

Given division is ( 5 ) ÷ ( -3 / 5 ) = -25 / 3.

-4/5 is the right answer

1607.

-x %2B 6*(text*((5*x^2)*(f*(r*(m*o))))) %2B 3*x^2 - 5*x - 3

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2x^2+4x-9 is the right answer

2x^2+4x-9 is the right answer.

1608.

(text*(((-5)/26)*(f*(r*(m*o)))))/13

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3/26 is right answer of this question.please like my answer

3/26 is the correct answer of the following question

1609.

51 / \operatorname { lf } f ( x ) = x ^ { 2 } - 5 x + 1 , \text { evaluate } f ( 2 ) - f ( - 1 ) + f ( \frac { 1 } { 3 } )

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thanks

I think so it is wrong

oh sorry

my mistake it is correct

it is totally wrong

in my book its answer is -113÷9

Sorry, there was an error in the last part of the solution. It has been corrected and updated.

1610.

I f x = ( 2 + \sqrt { 5 } ) , \text { find } \text { the value of } ( x ^ { 2 } + \frac { 1 } { x ^ { 2 } } )

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1st

2nd

1611.

35 > 9-35 4-35 > 3 рди?

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=35 * (9-4-3) =35 * 2= 70

1612.

(text*(sqrt(5)*(f*i)))*(15/(-sqrt(5) - 4*sqrt(5) %2B 2*sqrt(5) %2B 2*sqrt(10) %2B sqrt(10)))=2*236

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5.39845638 is the answer of this question

1613.

ČCGL2014)43(d) 8a)6 (2 (c)3 (d)4C CGL 2014)(d) 15066:435. 436 42 26(d) 130(10+2) 2014(a)5 (b)2 (d)4(Q.34-35 SSCCGL 20fd) 169

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(7+2)4 = 36(6+8)3 = 42hence

(9+4)x = 2613x = 26x = 2

1614.

Answer g. 3 and g. 4 with reference to the following figure60°(1) 30°(2) 130° (3) 50° (4) 35°4. m/ BAC?

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1615.

(A) 20(B) 3217 4 25 2-0 354 1 20 13二24 Fas(C 10 (A (C-AC

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1616.

=5 354 16

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1617.

\frac{1}{4} x_{12} \sqrt{35(35-2 \times 12)}

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(1/4)×12√(35×(35-(2×12)))=58.864250611

1618.

इसे बताया तोंमानू।56 354 2084)abhat Ranjanwith Abhishek Kumar and 23 others.

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answer is 30(3 multiply by 10)

5×6=30+5=354×20=80+4=843×9=27+3=30

1619.

he circle x2 + y24x + 8y + 5 intersects the line 3x-4y-m at two distinct points if[AIEEE 2010, (4,-1), 144](4) -85 < m< 351) 35 < m < 15(2) 15 < m < 65(3) 35 < m < 85

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1620.

5 The area of a rectangle is (2 + 12x +35) sq,. units. What are its dimensions?6 Factorise:a (-2)7(x-2y)+12b (3a- b)-4(3a-b)+4 c (3x-4y)+2(3x -4)-35

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(1.5x-4y)(1.5x+4y+3)-4.5x+12y

1621.

Median of AABC intersect of G. If ar (AABC)(a) 6 cm227cm2 then ar (ABGC)(c) 12 cm24) 9 cm2(d) 18 cm2

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1622.

11. The sides of a triangle measure 13 cm. 14 cm and 15 cm. Its area is25(a) 84 cm2(b) 91 cm2(c) 168 cm2(d) 182 cm2

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1623.

The area of a right triangle with sides 15 cm, 17 cm and 8 cm is(1) 18 cm2(3) 60 cm2(2) 30 cm(4) 120 cm2

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1624.

3Find the missing atasSA BaseHeight Area of the Pararallelogram246 cm220 cm15 cm154.5 cm8.4 cm48.72 cm215.6 cm16.38 cm2

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a)12.3cmb)10.3cmc)5.8cmd)1.05cm

the correct answer is 12.510.35.81.05

1625.

ice cm, 1155 cmo a the circle, then the area of the major and minor segments is [Take rind (A) 681 cm2, 25 cm2A chord AB of a circle of radius 15 cm subtends an angle of 60° al the centre o(D) 39.05 cm2, 1100 cmn = 3.14 , J31.73]2) (C) 680.07 cm2, 26.43 cm?(B) 706 cm2, 26 43 cm2(D) 686.07 cm2. 20.43 CTMCO's with multi correct

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1626.

3. The areas of three consecutive faces of a cuboid are 12 cm2, 20 cm2 and 15 cm2. Volume of thec(in cm) is(a) 3600 cm3(b) 100 cm3(c) 80 cm3(d) 60 cm

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Please hit the like button if this helped you

1627.

. The hour and minute hands of a clock are 4.2 cm and 7 cm long respectively. Find the sumof the distances covered by their tips in 1 day.

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1628.

Hence P(n) is true for all natural numbers n.ExampleFor all n 2 1, prove that1^{2}+2^{2}+3^{2}+4^{2}+\ldots+n^{2}=\frac{n(n+1)(2 n+1)}{6}

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Proof:

I. Prove that the equation holds for n = 1

If n = 1, then [n(n+1)(2n+1)]/6 = [(1)(2)(3)]/6 = 1.

So,12= [(1)(1+1)(2(1)+1)]/6

II. Assume that the equation holds for n and prove that the equation holds for n+1.

Assume: 12+22+ ... + n2= [n(n+1)(2n+1)]/6

Prove: 12+ 22+ ... + n2+(n+1)2=

[(n+1)(n+2)(2n+3)]/6

By assumption, 12+ 22+... + n2+ (n+1)2=

[n(n+1)(2n+1)]/6 + (n+1)2

= [n(n+1)(2n+1) +6(n+1)2]/6

= [(n+1){n(2n+1) + 6(n+1)}]/6

=[(n+1){2n2+ 7n +6}]/6

= [(n+1)(n+2)(2n+3)]/6

Therefore, by induction on n, the equation is valid for all positive integers, n.

1629.

n i f \frac { ( 2 n ) ! } { 3 ! ( 2 n - 3 ) ! } : \frac { n ! } { 2 ! ( n - 2 ) ! } = 44 : 3

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1630.

n ^ { 2 } + ( n + 1 ) ^ { 2 } + ( n ^ { 2 } + n ) ^ { 2 }

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1631.

\frac{2^{n+1}+2^{n-1}}{2^{n}+2^{n+2}}

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1632.

( \frac { 2 ^ { n } + 2 ^ { n - 1 } } { 2 ^ { n + 1 } - 2 ^ { n } } )

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1633.

The hour and minute hands of a clock are 4.2 cm and 7 em long respeetvelyof the distances covered by their tips in 1 day21.em and 7 cm long respeetively, Find the sum

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1634.

A rectangular sheet of paper is 12 7 cm long and 1o3Find its perimetercm wide

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1635.

A rectangular sheet of paper is 15 cm long and ILfit in a frame 7cm wide?10. A picture is 7 cm wide. How much should it be trimmed to fit in a frame

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1636.

21. The hour and minute hands of a clock are 4.2 cm and 7 cm long respectively. Find theof the distances covered by their tips in 1 day,

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1637.

21. The hour and minute hands of a clock are 4.2 cm and 7 cm long respectively. Find the sumof the distances covered by their tips in 1 day.

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1638.

2८ 5 1o YA M—EL M 5 हु -स्डत्थ, लत

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Let a , d are first term and common

difference of an A.Pnth term = Last term = a + ( n - 1 )d

an = a + ( n - 1 )d

Now ,

It is given that ,

Third term = 12

a + 2d = 12 ------( 1 )

Last term = 106

a + 49d = 106 ---( 2 )

Subtract ( 1 ) from ( 2 ) , we get

47d = 94

d = 2

Substitute d value in equation ( 1 ) ,

We get

a + 2 × 2 = 12

a = 12 - 4

a = 8

29th term = a + 28d

a29 = 8 + 28 × 2

= 8 + 56

= 64

1639.

5.Shalu cycles to her School at an average speed of 12km/hr. It takes her 20 minutes to reachthe School. If she wants to reach her School in 15 minutes, what should be her averagespeed?

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speed. time|. |12. 20minutes x. 15 minutes

x/12=20/1515x=12×20

1640.

Navin cycles to his school at an average speed of 12 km/hr. It takes him 20 minutes to reach the schoolIf he wants to reach his school in 15 minutes, what should be his average speed?Ex

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Like if you find it useful

it's average speed is 4.4444444 m/s

1641.

Fractions10. Rolhit takes minutes tcomplete round of a circular park How much time wil4he take to make 15 rounds?

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1642.

The temperature of an object is 36°C and the temperature of another object is 36°F. Whichone is hotter and by how many °F?

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36°c = 96.8 96.8°F-36°F= 60.8° Fthe object having 36°C is hotter than 36°F

Formula

(36°C× 9/5) + 32 = 96.8°F

First object,by= 96.8°F – 36°F=60.8°Fthe object having 36°C is hotter than 36°F

the object having 36°c is hotter

The right answer is 36 degrees Celsius

1643.

. Rohit takes 4 minutes to make a complete round of a circular park. How much time willhe take to make 15 rounds?

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15÷24/5=15×5/2425/83 intiger 1 upon 8 times

1644.

18. It the cost ol 1o pens25?74. The cost of 1 kg of sugar is 11. How many kilograms of sugar can be bought for 257

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please like my answer if you find it useful

thnku

1645.

173)Totalvlueofonekgteaandonekg sugar is Rs. 300. Total value of s kg sugar andtea s Rs 7Find the value of one kg sugar

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Let the cost of one kg of sugar be Rs. xand that of tea be Rs. y.

x+y=300-----------(i)5x+2y=720---------(ii)On solving equation (i) and (ii),we get:-x=40:. Value of one kg of sugar=x=Rs. 40

Thanks

1646.

160000*(5/100 %2B 1)^4

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1647.

. By selling 45 kg sugar, a shopkeeper gainequal to SP of 5 kg sugar. Find his gain%.

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Selling Price = Cost Price + Profit (SP = CP + P)

Profit on sale of 45 kg sugar = Selling Price of 5 kg sugar : 45P = 5(C + P)

⇒ 45P = 5C + 5P

⇒ 45P - 5P = 5C

⇒ 40P = 5C

⇒ P/C = (5*100)/40

⇒ P/C = 500/40

⇒ 12.5 %

So, profit margin on Cost Price is 12.5 %

1648.

Thmanshu bought 120 kg of sugar at 22 per kg. He sold 30% of the sugar atremaining sugar at 25 per kg. Find his gain or loss percent on the whole.13 per kg and the

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Find first cost price of sugar= 22×120=2640.then 30% of sugar=30×120/100=36.so he sell 36 kg of sugar at Rs 13 = 36×13= Rs 468.then he sells the remaining sugar i.e(120-36)kg sugar at the rate of Rs 25=84×25=Rs 2100.Now both the selling price =Rs2100+Rs468=Rs2568.now selling price is less than cost price.So, it will be a loss.So loss percentage=(2640-2568×100/2640)=2.727%

1649.

How many packets of 1/16 kg sugarcan be made from 31/4 kg of sugar?

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total weight 3 1/4 kg = 13/4 kg weight of 1 packet = 1/16 kg number of packets can be made = (13/4)/(1/16) = (16×13)/4 = 4×13 = 52

1650.

12.a) A hemispherical bowl of internaldiameter 36 cm. contains a liquid. Thisliquid is to be filled in cylindrical bottlesof radius 3 cm. and height 6 cm. Howmany bottles are required to emptythe bowl?S1T1

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