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This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
यदि 2 x-\frac{1}{2 x}=66 Brar x^{2}+\frac{1}{16 x^{2}} का मानहोगा ? |
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Answer» by taking square both the sides4x*x-2+1/4x*x=364x*x+1/4x*x=36+2=38divide by 4 in both the sidesx*x+1/16x*x=38/4=19/2 |
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| 2. |
16 - x ^ { 2 } - 2 x y - y ^ { 2 } |
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Answer» 16-(x^2+2xy+y^2)=4^2-(x+y)^2=(4-x-y)(4+x+y) |
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| 3. |
16 x ^ { 2 } y ^ { 2 } + 12 x y ^ { 2 } - 8 x y b y - 2 x y |
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| 4. |
-16*x^2*y^2 %2B y^2*(-9*z^2 %2B x^2 %2B 4*y^2)^2 |
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| 5. |
9 ( x + y ) ^ { 2 } - 16 ( x - 2 y ) ^ { 2 } |
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Answer» 9 (x+y)² - 16(x-2y)²(3x+3y)² - (4x-8y)²= (3x+3y-4x+8y)(3x+3y-4x-8y)= (11y-x)(-x-5y)= (x-11y)(5y+x) |
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| 6. |
-24*x^2 %2B 16*x^2 - 1=0 |
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Answer» 16x^2 - 24x^2 - 1 = 0 -8x^2 = 1 x^2 = - 1/8 |
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| 7. |
If $x=3-\sqrt{5},$ then $x^{2}+\frac{16}{x^{2}}=$ |
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| 8. |
EXERCISE 7.2the cube root of each of the following numbers by prime factorisatuon meththo AArs by pii(v) 27000T0 64(v) 15625(ix) 175616(i) 512(vi) 13824(x) 91125(ii) 10648(vi) 110592 (vii) 46656 |
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| 9. |
5a=15625 find 5a-3 |
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Answer» options are 25, 121, 125, 625 |
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| 10. |
Find the cube root of 15625. |
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| 11. |
5. 56 = 15625 का लघुगणकीय रूप है— |
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Answer» 6 is the ans after solving |
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| 12. |
Attempt the following:(1) In a circle of radius 13 cm, PQ and RS are two5 marksparallel chords of length 24 cm and 10 cmrespectivelyCalculate the distance between the chords, if they are(i) on the same side of the centre(ii) on the opposite sides of the centreFigureSolution: |
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| 13. |
Find the value of (15625) \frac{1}{6} |
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| 14. |
11. In an election, a candidate got 65% of the total valid votes. 8%ăfthe total votes were declIf the total number of votes cast was 6,00,000, find the number of valid vocandidaletes polled in favour of the |
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Answer» Total number of votes polled to candidate=65%percentage of valid votes=65%-8%=57% Number of vaild votes in favour of candidate=(57/100)*600000=342000 Sharada pawar,s speech in rain may work in favour of NCP candidate |
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| 15. |
15. Find the cube root of 1562516, Factorise: 15xy-6x +5y-2. |
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| 16. |
cond order and degree of the di freenialequationdyde23 daycla |
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| 17. |
coul. Wlal diIngu-3. The base of an isosceles triangle is - cm. The perimeter of the triangle is 4cm |
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| 18. |
A man beught a track for Rs 114330 and spent13% fthe cost on repairs. At what price shouldhe sell it to make profit of 12%? |
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Answer» C.P.=11433013%of cost on repairs so total C.P.=1.13×114330=129,192.9now he has to make profit of 12%so S.P.=1.12×129,192.9=144,696.048 it's not correct sorry it's correct |
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| 19. |
fthecost of 9 fans is 8370, find the cost of 14 fans. |
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| 20. |
O SIa) 128.(m) 135(iv) 192(v) 7044. Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm,5cm. How hcuboids will he need to form a cube?3 Cube Roots |
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| 21. |
ăĽCAB is equal to(A) Z ACD(B) L CAD(C) Z ACD(D) Z BAD |
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| 22. |
Value of (2*62)x(4). |
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Answer» 2*(-2)*(-4)=2*8=16 Answer is 16 it is so easy 2×(-2)×(-4)=(-4)×(-4)=16 if 2is mulitiplied with -2 thenit gives -4 after that -4 is multiplied with -4 then the answer must be 16 |
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| 23. |
4. The place where two faces of a solid meet is called(i) vertex(iii) face(ii) edge(iv) surface |
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Answer» Ans :- (2) edge An edge is the line segment wheretwo faces meet. |
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| 24. |
2. In a circle with radius 13 cm, two equal chords are at a distance of 5 cm from the centreFind the lengths of the chords. |
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Answer» Thanks |
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| 25. |
The radii of the ends of a frustum of a cone 45 cm high are 28 cm andrespectively, find the volume.7 cm |
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| 26. |
29. The radi of the ends of a frustum of a cone 45 cm high are 28 cm and 7 cm. Find itsvolume and the total surface area. (Take Ď |
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| 27. |
The radii of the ends of a frustum of a cone 45 cm highrespectively, find the volume.are 28 cm and 7 cm |
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| 28. |
The radii of the ends of a frustum of a cone 45 cm high arespectively, find the volume. |
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| 29. |
29. The radii of the ends of a frustum of a cone 45 cm high are 28 cm and 7 cm.Find itsvolume and the total surface area. (Take Ď ") |
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| 30. |
29. The radii of the ends of a frustum of a cone 45 cm high are 28 cm and 7 cm. Find itsvolume and the total surface area. (Take- |
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| 31. |
Use Euclid's division Lemma to find the HCF of726 and 275. |
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Answer» 726=275×2+176275=176×1+99176=99×1+7799=77×1+2277=22×3+1122=11×2+0 Answer=11 |
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| 32. |
. Use Euclid's division lemma to show that the cube of any positive integer is of the form9m, 9m+1 or9m +8 |
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| 33. |
The radii of the ends of a frustum of a cone 45 cm high are 28 cm and 7 cm. Find its volume and the total surface area. (Take π=22/7) |
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Answer» 1 2 3 4 |
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| 34. |
A. 1. Find the volume of a cube whose total surface area is 384 cm". |
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Answer» Right answer |
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| 35. |
2.The volume of a cube whose total surface area is 216 cm2 is(A) 36 cm3 (B) 215 cm3 (C) 220 cm3 (D) 17. |
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Answer» Surface area= 6*length of a sidesolength of a side=surface area/6length of a side= 216/6= 36 m now for volumev= l*w*h= 36*36*36= 46656 cubic metre |
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| 36. |
The total surface area of a cube is 384 sq.dm. Find the sidecube. |
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Answer» surface area of cube = 6 × side ² 6 × side ² = 384 side² = 384/6 = 64 side = √(64) = 8 dm |
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| 37. |
1. The surface area of a cube is 384 cm2. Find(ii) volume of the cube.(i) the length of an edgetn solid cvlinder of radius 5 cm and boil1 |
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| 38. |
8788 must be multiplied to obtain a perfect cube? |
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| 39. |
3,Find the smallest number by which 8788 must be multiplied to obtain a perfect cube? |
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| 40. |
Is 243 a perfect cube? |
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Answer» Cuberoot of243can be represented as 3√243. The value ofcuberoot of oneis 243.The nearest previousperfect cubeis 216 and the nearest nextperfect cubeis 343 . no.. it's not a perfect cube |
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| 41. |
7. Find the smallest natural number by whicheach of the following numbers should bedivided to obtain a perfect cube?(1) 24fii) 250(iii) 192(iv) 135cice Corr |
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Answer» 24 is the answer to the question 24 /3 =8 ie 2^3 250//2 =125 ie 5^3 192 /3 =64 ie 4^3135/5=27 ie 3^3 |
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| 42. |
EXAMPLE 9 Use Euclid's division Lemma to show that the cube of any positive integer iseither of the form 9m, 9m + 1 or, 9m +8 for some integer m.INCERT) |
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| 43. |
5. use Euclid's division lemma to show that the cube of any positive integer isform 9m, 9m +1 or 9m +8 |
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| 44. |
use euclids division lemma to show that cube of any possitive integer is of the form 9m, 9m+1 or 9m+8 |
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| 45. |
Use Euclid's division lemma to show that the cube of any integer is off the form 9m, 9m + 1 or 9m + 8 |
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| 46. |
If the polynomial f(x) = ax² + x² + 3x-4g(x) = x² - 4xta leased thesane remaindes when divided by X-3.value of a also find a remaind |
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Answer» xhbcfgv gjfgjigcvnkioygvb put x=3 in g(x)= 27-12+aa=-15 |
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| 47. |
Use Euclid's division lemma to show that the cube of any positive integer is of the form9m, 9m+1 or 9m+ 8. |
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| 48. |
(09001, यौगिक का प्रचलितें नाम क्या है?sl e e व |
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Answer» CaOCl2 को ब्लीचिंग पाउडर या कैल्शियम हाइपोक्लोराइट क्लोराइड यानी Ca (OCl) Cl के रूप में कहा जाता है। ... Ca (OCl) 2 इसे कैल्शियम हाइपोक्लोराइट कहा जाता है। ... ध्यान दें कि सूत्र Ca (OCl) Cl एक यौगिक का प्रतिनिधित्व नहीं करता है, लेकिन कैल्शियम हाइपोक्लोराइट और कैल्शियम क्लोराइड का मिश्रण bleaching powder is the common name |
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| 49. |
Sicuotuue distrz Gnes vepuraile b he Sane line, then they are parallel to each ofher |
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| 50. |
It is given that in a group of 3 students, the probabi lity of 2 students not having thesame birthday is 0.992. What is the probability that the 2 students have the sanebirth day? |
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