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67701.

TauA cylinder of radius 12 cm contains water to a depth of 20 cm. A spherical iron ballis dropped into the cylinder and thus the level of water is raised by 6.75 cm. Find theradius of the ball. (Use n 22/7).

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67702.

IT-II (2011)]19. A cylindrical tub of radius 16 cm contains water toa depth of 30 cm. A spherical iron ball is droppedinto the tub and thus level of water is raised by39 cm. What is the radius of the ball ? [T-II (2011120. The cana

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67703.

5 plus m multiplied by5

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5 * ( m + 5 ) = 5m + 25

67704.

prove that root 5 plus root 3 is an irrational number

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67705.

8)Find 2 more than, 5 plus 89)Find the product of 5 times 9 less than 3

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a) 5 plus 8 is 13. 2 more than 13 is 13+2 = 15. b) product of 5 and 9 is 45. 3 less than the product is 45 - 3 = 42.

thq u

67706.

Fig. 10.6429. In Fig. 10.65, BDC is a tangent to the given circle at point D such that BD 30 cm andCD 7cm. The other tangents BE and CF are drawn respectively from B and C to thecircle and meet when produced at A making BACa right angle triangle.Calculate (i) AF (ii) radius of the circle.

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67707.

Fig. 8.64In Fig. 8.65, BDC is a tangent to the given circle at point D such that BD 30 cm andCD = 7 cm. The other tangents BE and CF are drawn respectively from B and C to thecircle and meet when produced at A making BAC a right angle triangle.Calculate (i) AF (ii) radius of the circle.

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67708.

EXAMPLE 3 Find the HCF of 96 and 404 by prime factorisation method. Hence, find theirLCM.SOLUTION We have,INCERTI

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Since, 96 =2× 2× 2× 2× 2× 3and, 404 = 2× 2× 101So, HCF of 96 and 404 = Product of common prime factors =2× 2 =4LCM = 2× 2× 2× 2× 2× 101× 3 = 9696

67709.

EXAMPLE 3 Find the HCF of 96 and 404 bu prime factorisation method. Hence, find theirLCMINCEPTICOTTITI

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67710.

7.- = - 18or. 3-1xFind the missing number(a) 6(b) 9(9) 11(d) 13

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Answer:b)9Explanation:(3/4)=(1/12) ×(9)=3/4

b (3/4)=1/12)×(9) =3/4 =9

67711.

. A cylindrical tank 7 m in diameter, contains water toa depth of 4 m. Find the total area of the wet surface.(π = 3.14)

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Wet surface = curved surface upto water level + bottom circleradius of the cylinder r = 7/2height of the cylinder h = 4Area of wetted surface = Curved surface area of the cylinder + Area of base circle = 2πrh + πr2⇒ πr(2h + r)

⇒22 x 7(8 + 3.5)7 x 2⇒ 11 x 11.5 = 126.5 m2

67712.

2. The median of the following observations, arranged in ascending order of 24. Find x11, 12, 14, 18, x + 2, x+4, 30, 32, 35, 41

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median is 5 th element as no.of elements is even.x+2=24x=22

67713.

3. The median of the following observations arranged inascending order is 25. Find the x.11.1315, 19, x +2,x +4,30, 35,39,46l to (2)

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67714.

12. A solid cone of base radius 9 cm and height 10 cm is lowered into a cylindrical ar diradius 10 cm, which contains water sufficient to submerge the cone completely Findthe rise in water level in the jar.

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π×(15)2×h=43π(10)3

Therefore,h=43×10×10×1015×15=52527cm

67715.

18. A cylindrical tub of radius 12 cm contains water to a depth of 20 cm. Aspherical iron ball is dropped into the tub and thus the level of water israised by 6.75 cm. What is the radius of the ball?

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67716.

verify that x ( y × z ) = (x × y ) + (x × z) , for x = -5/2 , y = 16/ 3 , z = -1

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67717.

Fig. 12.31Fig. 12.3214. AB and CD are respectively arcs oftwo concentric circles ofradii 21 cm and 7 cm andcentre O (see Fig. 12.32). If LAOB 30°, find the area ofthe sh aded region.

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67718.

sHow much moneyKiran buys 1 kg tron for Rs 12, bulsmuch does she earn when she sell 9 lg irat will inu pay for 152 kg newspapRs 6. So theThe rate of 1 kg newspaper 1snewspaper is Rs 6 × 152.Dinu writes:6100502100 x 6 50 x 6 2x66600300 12hen he adds the numbers in the boxes:600I bought

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67719.

5 plus 20 is

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5 plus 20= 5 + 20= 25Ans) 5 plus 20 is 25 .

67720.

Fig. 8.64In Fig. 8.65, BDC is a tangent to the given circle at point D such that BD 30 cm andCD -7 cm. The other tangents BE and CF are drawn respectively from B and C to thecircle and meet when produced at A making BACa right angle triangle.Calculate (i) AF (ii) radius of the circle.30 cm

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67721.

price should glle SCITT102. What price should a shopkeeper mark on an article that costsRs 600 to gain 20%, after allowing a discount of 10%

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Let Marked price of article is MP

Given, CP = 600

After 10% discount on marked priceSP = MP(1 - 10/100) = MP(9/10)

After 20% gain on cost priceSP in terms of CP= CP(1 + 20/100)= CP(6/5)

Thus, MP(9/10) = CP(6/5)MP = 600*6*10/45 = 36000/45 = 800

Marked price of article should be Rs 800

67722.

the hcf andlcm of 321and 27and hence varify hcf× lcm=product of the number

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67723.

Find the Missing Number449725 136A. 74C. 91B. 62D. 97

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Ans:974+(3)+7+(6)+13+(12)+25+(24)+49+(48)

4+(3)+7+(6)+13+(12)+25+(24)+49+(48)

67724.

初in Fig. 6.28, find the values of x and y and thenshow that AB II CD.50%28Fig. 6.28

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130=y {vertically opposite angle }y=x {alternate angles are equal}

nahi hy bai

67725.

10. Use Euclid's algorithm to find HCF of 1190 and 1445. Express the HCFin the form 1190m +14457.

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67726.

10. Use Euclid's algorithm to find HCF of 1190 and 1445. Express the HCFin the form 1190m +1445n.

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67727.

3)The following observations have been arranged in ascending order. If the median ofthe data is 63, find the value of x.29,32,48,50.x+2,72,28,84,95x,

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thank you sir

67728.

As showm in thefigure, a cylindricalglass contains water.A metal sphere ofdiameter 2 cm isimmersed in it. Find .the volume of the 14 cmwater.30cmFig. 7.15

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67729.

12. As showm in thefigure, a cylindricalglass contains water.A metal sphere ofdiameter 2 cm isimmersed in it. Findthe volume of the 14 cmwater.30cmFig. 7.15

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thanks you bro😉

67730.

(2) The radii of two circular ends of a frustum shaped bucket are 14 cm and 7 cm. Heightof the bucket is 30 cm. How many litres of water it can hold? (1 litre 1000 cm3)

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67731.

. Find the values of , y and z from the following equations:4 31 [y zx 5 1 5rty 26 2(ii) +z 5

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67732.

3.3rty= 14jr.t = 33 2

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67733.

-95¢ +43a) - A~ ( 3६६ - १.3 =9356 ह SSC + 438X433i

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((956+479)(956+479)+(956-479)(956-479))/(956×956+479×479)) = (956×956+2×956×579+479×479+956×956-2×956×579+479×479)/(956×956+479×479) = 2(956×956+479×479)/(956×956+479×479) = 2

67734.

In Fig. 1, ABCD is a rectangle. Find the values of x and y.14 cmx-y30 cmFig. 1

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67735.

40÷2+30÷6÷5-4*12+6*6+4

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40 ÷ 2 + 30 ÷ 6 ÷ 5 - 4*12 + 6*6 + 4= 20 + 5÷5 - 48 + 36 + 4= 20 + 1 - 12 + 4= 25 - 12= 13

8*8÷4*2-12+35+7-5

67736.

The fare for air journey from Delhi to Nagpur is Rs 1 600 plus 20%. Find the total fare.Outof 470 apples in a basket 141 were rotten. Whaf is the percentage of good apples ?

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Total fare = 1600 + 20% of 1600= 1600 + 320 = 1920

67737.

Find the HCF of 56, 96, 324 by Euclid's algorithm

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67738.

Find the Missing Number4 84 216 96 165418A.8 B.9 C.7 D.3

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3 is the answer.4x21=8416x6=96?x18=54so ?=54/18=3

67739.

17. A dealer bought 250 birthday caps at rate of?7 per cap. Due to rain, 10 caps were spoiled. At whatprice should he sell the remaining caps so as to gain 20%?

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250 cakes at rate of 7so C.P.=250*7=1750now gain need is 20%so S.P.= 1750*1.2=2100now 10 cakes are spoiled so remaining are 250-10=240so required price=2100/240=8.75 per cake

67740.

By Euclid's division algorithim, find HCF of 56, 96 and324.

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Euclid division lemma:-a=bq+r

324=96(3)+3696=36(2)+2436=24(1)+1224=12(2)+0

hcf of 324 and 96 is 12.

Now find the hcf of 12 and 56,56=12(4)+812=8(1)+48=4(2)+0hcf of 12 and 56 is 4.

Therefore, hcf of 56.96 and 324 is 4

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67741.

In ΔABC, AB = 6,8 cm, AC = 12 cm andBC = 6 cm, then B is43.

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67742.

| आग -11:पारमा3|31. एक बर्तन में सेब, संतरे और आम का रस (Juice) क्रमशः 3: 5:4 केअनुपात में हैं। इस मिश्रण में से 12 लीटर निकाल कर 8 लीटर सेब कारस मिला दिया जाता है। यदि बर्तन में सेब और संतरे के रस की मात्राबराबर हो, तो बर्तन में आरंभिक मिश्रण की मात्रा (लीटर में) क्या थी?(3) 96(7)०/

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67743.

In Fig. 1, ABCD is a rectangle. Find the values of x and yx + yx-y14 cm30 cmFig.-1

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67744.

Q1ABCD is a rectangle. Find the values of x and yx+y14 cmx-y30 cm

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67745.

4. यदि A का 30% = B का 0.25 = CकाA : B: C है :(a) 10: 6:5 (b) 10: 12:15(c) 5: 6: 10 (d) 15 : 12: 10

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30 % of A = 0.25 of B

3A/10 = B/4

12A = 10B

A/B = 10/12

A/B = 5/6

A : B = 5 : 6

0.25 of B = 1/5 of C

B/4 = C/5

B/C = 4/5

B : C = 4 : 5

A. B. C

5. 6

× 4. 5

20. 24. 30

so A : B : C = 20 : 24 : 30

or, A : B : C = 10 : 12 : 15 (B)

30°/• of A=0.25 of B, 3A/10=B/4; 12A=10B; A/B = 10/12; =5/6; 0.25 of B=1/5 of C ; B/C=4/5; A: B : C 5 . 6 x 4 .5/20.24.30 So A: B : C=20 : 24 : 30 OR A: B : C =10: 12 : 15

67746.

1. The radii of two circular ends of frustum shape bucket are 14 cm and 7 cmHeight of the bucket is 30 cm. How many liters of water it can hold ?(1 litre 1000 cm')

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67747.

;107. यदि A का 30% = B का 0.25 =C कातो A: B: C है-(A) 10: 6:5 (B) 10:12:15(C) 5:6:10 (D) 15: 12:10

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solution

Let the 100% of A be 100हमने माना कि ए का 100% 100 है

30% of A = 25% of B .... (1)प्रश्न के अनुसार दिया गया है कि ए का 30% भी के 25% के बराबर है

30% of A = 30अतः ए का 30% 30 होगा

=> B =30×100/25=120तब बी का मान हम इस तरह ज्ञात करेंगे

Then,

30% of A = 20 % C .... (2)अब दिया गया है कि ए का 30% सी के 20% के बराबर है

c=30×100/20=150

100 % of A = 120% of B = 150% of C

Ratio of A : B : C =10:12: 15अर्थात यह अनुपात इस प्रकार से होगा

a:b:c=10:12:15

67748.

8. In Fig. 1, ABCD is a rectangle. Find the values of x and yrty14 cmx-y30 cm

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67749.

33) sq. units. What are its dimensions?6 Factorise:(x-202 + 7(x-2)) +12b (3a - b)-43a-b)+4a(3x-4y +23x-4y)-3

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67750.

(iv)-,_, _,, lIT引15 12 10

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