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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.
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KAMPLE2 In the given figure, AB is a chord oflength 9.6 cm of a circle with centre Oand radius 6 cm. The tangents at Aand B intersect at P. Find the length pof PA.16cm/>寸C2ICBSE 2009C) |
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| 2. |
Find the sum of first 8 multiples of 3. |
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| 3. |
of a number exceeds itsby 30. Find the nur |
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| 4. |
206 ्प्त QA |
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Answer» 37 percentage of 285= 285*37/100105.45 |
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In the given figure, AABC is a Aright-angled triangle with LB 90AB 48 cm and BC 14 cm. With AC asdiameter a semicircle is drawn and withBC as radius, a quadrant of a circle isdrawn. Find the area of the shaded region(Use πCBSE 2009c] |
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| 6. |
Find the sum of first 8 multiples of 3 |
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Answer» First 8 multiples of 3 =3*1+3*2+3*3+3*4+3*5+3*6+3*7+3*8=3+6+9+12+15+18+21+24=111 Hey there is the 8 multiples of 3 |
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| 7. |
6. Find the sum of first 15 multiples of 8. |
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| 8. |
17 Find the sum of first 15 multiples of 8. |
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Answer» thanks |
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| 9. |
की 1) Factorize: 4a’—9b%- 2a - 3b. |
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Answer» 4a² - 9b² - 2a - 3b (2a)² - (3b)² - (2a + 3b) (2a - 3b) ( 2a + 3b) - ( 2a + 3b) ( 2a + 3b) ( 2a - 3a - 1) |
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| 10. |
(Za â 9b) (7a =9b) |
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| 11. |
factorize 9a*a - 25 |
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Answer» 9a² - 25 Use a² - b² = (a-b) ( a+b) (3a)² - 5² (3a - 5) ( 3a + 5) Hit like and BeScholr |
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| 12. |
lace area of the solid.A solid is composed of a cylinder with hemispherical ends. If the whole length of thesolid is 104 cm and the radius of each of the hemispherical ends is 7 cm, find the costof polishing its surface at the rate of 10 per dm[CBSE 2006C |
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| 13. |
The 17th term of an AP exceeds its 10th term by 7. Find the common difference. |
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| 14. |
5x+4y=323x-3y=3 |
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Answer» 5x+4y=323x-3y=3Multiply equation 1with 3 and equation 2 with 415x+12y=9612x-12y=12Add equations27x=108x=43y=3x-33y=9y=3 |
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| 15. |
5x+2y+2=0,3x+4y-10=0 |
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Answer» answers (-2,4) |
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| 16. |
of A ABC16. If D is a point on the side AB of A ABC such that AD: DB -3.2 and E is a point on BC such[CBSE 2006CL nndARnF are rqvilateral triangles, where D is the mid point of BC, find thethat DE 11 A C. Find the ratio of areas of Î ABC and Î BDE. |
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Answer» Given : In ΔABC, D is appoint on the side AB such that AD:DB = 3:2. E is a point on side BC such that DE || AC. Let AD = 2x and BD = 3x In ΔABC and ΔBDE, ∠BDE =∠A (corresponding angles) ∠DBE =∠ABC (common) ΔABC∼ΔBDE [By AA similarity] We know that the ratio of the two similar triangles is equal to the ratio of the squares of their corresponding sides arΔABC/ arΔBDE = (AB/BD)² arΔABC/ arΔBDE = ((BD+DA) /BD)² [AB = BD + DA] arΔABC/ arΔBDE = ((3x+2x) /2x)² arΔABC/ arΔBDE = (5x / 2x)² arΔABC/ arΔBDE = 25x / 4x arΔABC/ arΔBDE = 25/4 Hence, the ratio of areas of ΔABC and ΔBDE is 25 : 4. |
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| 17. |
3. Find the common difference, if 17th term of an A.P exceeds its 10th term by 14. |
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| 18. |
factorise the following 10-7a-3a² |
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| 19. |
he 17th termdtWhich term of the AP:3,15,27,39,... will be 132 more than its 54th tern |
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| 20. |
16. Find the sum of first 8 multiples of 3.[CBSE 2018] |
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| 21. |
15, Show that the points A(3, 0), B(6, 4) and C(-1, 3) are the vertices of aright-angled triangle. Also prove that these are the vertices of anICBSE 2006C]isosceles triangle. |
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| 22. |
+2) areicaseWrite the value of x for which (x+2), 2x, (2x 3) are three consecutive(CBSE 2009Cterms of an AP? |
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| 23. |
10.16. In equilateral Î ABC, De BC such that BD: DC 1 :2. Prove that 3AD 7A |
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| 24. |
5x+9y=892x-17y=15 |
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| 25. |
21. Find the values of p and q if a - 1 is a factor of pat -7a+9a'+qa-10. |
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| 26. |
3. ऋन आन2x+6y=8 |
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Answer» These are identical equations with unequal values. These lines do not meet.No particular values satisfy these equations. Please hit the like button if this helped you |
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| 27. |
36x2-1632-24ab-9b? |
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Answer» 36x*x - 16a*a - 24ab - 9b*b = 6x*6x - (4a*4a + 2(4a)(3b) + 3b*3b) it is in the form (A+B)=A*A+2AB+B*B where A = 4a and B = 3b = 6x*6 - (4a + 3b)(4a + 3b) it is in the form A*A - B*B = (A+B)(A-B) where A = 6x and B = 4a + 3b = (6x-4a-3b)(6x+4a+3b) If you find this answer helpful then like it. |
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| 28. |
न | िन शो 3 6Y i | eके T _,..J_.*O-b-% |
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| 29. |
simplify (x+y)3 -(x-y)3-6y(x2-y2) |
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| 30. |
Q. (7) Find the product 24ab( a + b2 ) and evaluate it for a = 2 and |
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Answer» 24ab( a^2+b^2); 24(2)(1/2)(2^2 + (1/2)^2) = 24(4+1/4)=24(16+1/4)= 24(17/4)= 6(17)= 102 |
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| 31. |
If x :y= 3:4 find (3x+ 4y):(5x+ 6y) |
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Answer» x:y = 3:4 suppose x=3k and y=4k (3x+4y):(5x+6y) = (25k):(39k) = 25:39 kaha 25k:39k aya |
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| 32. |
If (2x +3): (5x + 4) is the triplicate ratioof 3:4, find the square of x |
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Answer» 2x+3/5x+4= 3^3/4^32x+3/5x+4= 27/6427(5x+4)= 64(2x+3)135x+108= 128x+192135x-128x= 192-1087x= 84x= 12 x^2= 144 please like the solution 👍 ✔️and check previous Answer as well |
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| 33. |
If the 10th term of an A.P. is 52 and the 17th term is 20 more than the13th term, find the A.P. |
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| 34. |
CBSE 2006016 if the 10th term of an AP is 52 and 17th term is 20 more tha itsCRSE 20000term, find the AP. |
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Q40. Divide: 7x2xyz2+xyz) by 4 (xy'2)-2+ă2.3.2 |
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17. If the 10th term of an AP is 52 and the 17th term is 20 more than the 13th[CBSE 2006C]term, find the AP. |
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| 37. |
16. If the 10th term of an AP is 52 and 17th term is 20 more than its 13thICBSE 2009C, 2017term, find the AP |
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| 38. |
An electric heater draws a current of 10 A from a 220 V supply. What is the cost of using the heater5 hours per day for 30 days if the cost of I unit is 2.5040. |
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Answer» P=VI= 220*10= 2200 E=P*T=2200*5= 11 KWH 11*30 = 330330* 2.50= RS.825 |
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| 39. |
निम्नलिखित को(i) 0.3के रूप में व्यक्त कीजिए जहाँ p और 4 पूर्णाक हैं तथा q40 है।(i) 0.47 (i) 1.27 (iv) 1.235 |
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| 40. |
Q40Find a quarter of40% ofthe square of40.(A) 120(C) 160(B) 140(D) 180 |
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Answer» Please hit the like button if this helped you 1/4 of 40x of (40)²=1\4×40/100×(40)²=1/4×4/100×40×40=40×40/100=16 the correct answer is. 16 |
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| 41. |
If(2x+3): (5x+ 4) is the triplicate ratioof 3 :4, find the square of x.Q40 |
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Answer» 2x+3/5x+4= 3^3/4^32x+3/5x+4= 27/6427(5x+4)= 64(2x+3)135x+108= 128x+192135x-128x= 192-1087x= 84x= 12 x^2= 144 |
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| 42. |
alesyithesised inHow does Amoeba obtain it's food? |
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Answer» Amoebatakes infoodusing temporary finger-like extensions of the cell surface which fuse over thefoodparticle forming afood-vacuole as shown in figure. Inside thefoodvacuole, complex substances are broken down into simpler ones which then diffuse into the cytoplasm. |
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7.A farmer fenced the plot belowusing 3 strands of wire. Whatlength of wire does he require inmetres?(7x) m(2x + 6) m(8x - 12) mA. 105C. 198B. 75D. 35 |
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Answer» As its a rectangleside ( opposite) will be equalnow 2x+6= 8x-12x= 3now perimeter= (21+21+12+12)= 68length of wire= 3 strands= 3*68= 198please like the solution 👍 ✔️ |
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| 44. |
A farmer fenced the plot belowusing 3 strands of wire. Whatlength of wire does he require inmetres?7.(7x) m(2x + 6) m(8x 12) mA. 105C. 198B. 75D. 35 |
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Answer» in a rectangle, opposite sides are equal. 2x+6 = 8x-12 6x = 18 x = 3 So length = 2x+6 = 2*3 + 6 = 6+6 = 12 m breadth = 7x = 7*3 = 21 m Like my answer if you find it useful! |
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| 45. |
Q40 The sufice area of the mctallic sphere is 616 em'. It is melied andrecast into a cone of height 28 cm. Find the diameter of the base |
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obtain a perfect squas4. Find the least number which must be added to 6203 to obtain a perferAlso, find the square root of the number so obtained. |
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| 47. |
Velocity of a Car varies withtime a, V- 3 t - 4 mlsFind acceleation at t 3 Sec(A) 23m/s、(C) 15 m/s^2(B)8 m/s^2(D,)- 18 m/s^2 |
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Answer» v=3t^2-4here t=3secv=3(3)^2-4=27-4=23 m/s^2 |
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Il.A TV tower stands vertically on a bankof a canal. F.om a point on the otherbank dire dy opposite the tower, theangle of elevation of the top of thetower is 60°. From another point 20 maway from this point on the line joingthis point to the foot of the tower, theangle of elevation of the top of thetower is 30° (see Fig. 9.12). Find tl cheight of the tower and the wid: ofthe canal.30°60←20m--mm-ナCFig. 9.12 |
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| 49. |
. यदि शीर्ष (2,-6), (54) और (4) वाले त्रिभुज का क्षेत्रफल 35 वर्ग इकाई हो नकामान है।(A) 12 (B) -2 (C) -12-2 (D) 12-2 |
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Answer» bhai pic clear send karo Hi Manoranjan, Here is the answer to your question. |
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| 50. |
का- यदि शीर्ष (2, -6), (5,4) और (k, 4) वाले त्रिभुज का क्षेत्रफल 35 वर्ग इकाई हो तोमान है।(A) 12(B) -2(C) -12, -2(D) 12,-2 |
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