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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. |
oftheÄnnueit alongits length. Find theThe volume ofa cylinder is 6358 cm3 and its height is 28 cm. Find its radius and the cuvolumecurved surface320 cm2 and the radius of its base is 10ă~are |
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Answer» Answer:radius = 8.5csa of cylinder = 1496explanation: according to problemvolume of cylinder=6358πr²h=635822÷7×r²×28=6358r²×28=6358×7÷22r²=72.25r=8.5 csa of cylinder=2πrh=2×22÷7×8.5×28=1496 |
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| 2. |
1nterm of the |
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Answer» a=0d=4n=50an=a+(n-1)da50=0+(50-1)*4a50=196 |
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| 3. |
8. Write eight rational numbers between รป and |
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Answer» (3/11)×(3/3) =(9/33)and (6/11)×(3/3) =( 18/33) (9/33) 10/33 11/33 12/33 13/33 14/33 15/33 16/33 17/33 ( 18/33) |
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| 4. |
o- fono1nL h |
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Answer» area of parallelogram = b×h => QL×QR = QM × SR=> 8*6 = 9*QM=> QM = 48/9 = 16/3 cm |
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| 5. |
(b)IfAC=13cn, BC=5cm, find AB |
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| 6. |
Q15Draw a pair of tangents to a circle of a radius 5cm. Which are inclined to each other at angle70° |
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Answer» ans kya hai |
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| 7. |
write eight rational numbers between 3/11 and 6/11 |
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| 8. |
S-E-3St-C- Multiply on both Endas bis35 text =87610i 25 + 3t = 385-t3-a3234t-6.25 + 3t = 36- 26371) + 34:36672€ + 34:36St=36-6 |
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| 9. |
5.a circle with radius 5cm. find the length of a chordIsting at distance 4 cm from the centre. |
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| 10. |
AB and CD are two parallel chords of a circle of lengths 10 cm and 4 cm respectively.If the chords lie on the same side of the centre and the distance between them is 3 cm,find the diameter of the circle.910 ABC is an isosceles triangle inscribed in a circle. If AB AC 125 cm and11 An equilateral triangle of side 6 cm is inscribed in a circle. Find the radius of12 AB is a diameter of a circle. M is a point in AB such that AM - 18 cm and13 A rectangle with one side of length 4 cm is inscribed in a circle of diameter 5cm. FindBC 24 cm, find the radius of the circle.the circle.MB8 cm. Find the length of the shortest chord through M.the area of the rectangle. |
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| 11. |
en andtind iks vaue |
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Answer» i) 4(2x +3) - 5(1-2x)8x +12 - 5 +10x18x +7 when x = 418× 4 +7 = 79 ii) a = 4 ane b = 33(a²+ab) -4(ab-a²) +b²3a² +3ab -4ab +4a² +b²7a² -ab + b²7× 4² - 4×3 + 3²7× 16 -12 + 9109 |
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| 12. |
If a:5-:7 e:8, then the vaue of (a+b+e) sa:5 b:7 c:8, then the value ofi |
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| 13. |
(d) large and negagivei) The magnetic field at distance r from a straight long conductorcarrying I, is:(b) Monl(c) zero2r |
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Answer» The magnetic field at a distance r from a straight long wire will beOption D |
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| 14. |
1n the following figures, find the values of y and z.X+ 50x-50°5x + 82x + 10 |
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Answer» 1)as X+50+x-50 = 180 x= 90and then as we know that angles x-50= z and angle x+50= yso after calculation x= 90 degreez= 40 degreey= 140 degree please click the pic Properly for second question |
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| 15. |
9,/1n the following figures, find the values of y and :.x+50°-50°2x + 10 |
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| 16. |
J00,thellhdtheLCM2. If the quadratic equation kx2 -2kx 3-0 has equal roots, then find the value of k.0.3. Which term of the A D 1nof a and b. |
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Answer» When roots are equal then discrimanat is 0So,(-2k)² - 4 ×k × (-3) = 04k² +12k = 04k (k + 3) = 0k = 0 and -3 |
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| 17. |
47. If A(3, y) is equidistant from points P(8,-3) and Q(7,6), find the vaue of y andICBSE 2014]find the distance AQ |
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Answer» AP = AQUsing distance formula -(3-8)2+ (y+3)2= (3-7)2+ (y-6)2 25+y²+6y+9 = 16+y²-12y+36 18y = 52-34 y = 18/18 = 1 |
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| 18. |
Find the eight rational numbersbetween 2 and the |
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Answer» 2/8 it is write answer |
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| 19. |
(a) 28 m(b) 30 m(C)52IIlThe ages of A and B are in the ratio 4:3. After 6 years, their ages will be in tA's present age is(a) 12 years(b) 16 years(c) 20 years(d) 24 |
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| 20. |
Example 2: By selling 42 oranges, a person loses a sum equal to the selling price of eightoranges Find the loss per cent. |
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Answer» 42÷8×100÷8=75%75 is the loss percentage 100-75=25sorry 25 is the loss pec Sellingof an orange = Ptotal sale amount = 42 * PLoss amount = 8 * PCost of 42 oranges = 42 - 8 P = 34 P Loss % = 8 P / 34P * 100 = 400/17 % |
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| 21. |
in a circle of radius 5cm AB and AC are the two chords. AB=AC=6cm .find the length of the chord BC |
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Answer» AB and AC are two equal words of a circle, therefore the centre of the circle lies on the bisector of ∠BAC. ⇒ OA is the bisector of ∠BAC. Again, the internal bisector of an angle divides the opposite sides in the ratio of the sides containing the angle. ∴ P divides BC in the ratio = 6 : 6 = 1 : 1. ⇒ P is mid-point of BC. ⇒ OP ⊥ BC. In ΔABP, by pythagoras theorem, AB2= AP2+ BP2 ⇒ BP2= 62- AP2.............(1) In right triangle OBP, we have OB2= OP2+ BP2 ⇒ 52= (5 - AP)2+ BP2 ⇒ BP2= 25 - (5 - AP)2...........(2) Equating (1) and (2), we get 62- AP2= 25 - (5 - AP)2 ⇒ 11 - AP2= -25 - AP2+ 10AP ⇒ 36 = 10AP ⇒ AP = 3.6 cm putting AP in (1), we get BP2= 62- (3.6)2= 23.04 ⇒ BP = 4.8 cm ⇒ BC = 2BP = 2× 4.8 = 9.6 cm |
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| 22. |
Question numbers 1 to 4 carry one marks eachA square and a rhombus are on same base and between same parallels. What isthe ratio of their areas ? |
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Answer» thank you |
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| 23. |
Complete the following table referring to cylinders :RadiusHeightVolume/ cm3.5 m7 cm3 cm154 m36358 cm3 |
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| 24. |
The value of 'c' in Lagrange's mean valuetheorem for f(x)=\log (\sin x) \text { in }\left[\frac{\pi}{6}, \frac{5 \pi}{6}\right] is |
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| 25. |
Find the equation of the circle concentric withr x-6 -3-0 and which touchesy |
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| 26. |
The value of 'c' in Lagrange's mean valuetheorem for f(x)=l x^{2}+m x+n,(l \neq 0) on[a,b] is |
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| 27. |
A value of 'c' for whicht he conclusion of Mean value theorem holds for the function f(x)=logex on the interval [1, 3] is |
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Answer» bhai meko aata to bata detta improve your writing please Thanks |
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| 28. |
11.Find (a + b)" _ (a _ b)". Hence, evaluateG/3+12)4-G/3-Y2)4 . |
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| 29. |
4. In Î ABC, m<A+m1/ C = mZB and AC : AB = 25:24. If BC = 21,ind the area ofÎ ABC. |
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| 30. |
value theorem for the function f (x) r-5 x2-3 x 1n [1,3]2 |
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| 31. |
21. A certain number between 10 and 100 is eight times the sumof its digits, and if 45 be subtracted from it the digits will be reversed:ind the number. |
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| 32. |
13. Two chords AB and CD of a circleCrintersect each other at P outside thecircle. If AB 6 cm, BP 2 cm andPD 2.5 cm, find CD. |
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| 33. |
17. In a circle, two chords AB and CD intersect ata point P inside the circle. Prove that |
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| 34. |
BC2(ii) AC2+AB-2AD +2ove that the sum of the squares of the diagonals of parallelogram is ethe squares of its sides.ig. 6.61, two chords AB and CD intersect each other at the point P |
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Answer» like my answer if u find it useful |
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| 35. |
5. If the difference between the circumference and radius of a circle is 37 cm, then the area of the circle is(use T-22/7 )a) IIl 2b) 148 cm2c) 259 cmd) 154 cmemm |
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| 36. |
EXERCISE 3 (D)A company exported 900 bicycles. The price of each bemtotal price of the bicycles exported?!being 8,550, what will be thent A Charitable |
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Answer» Total price of the bicycle is 900*8550=76950 rs Answer = 76950 rs |
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| 37. |
The area of a circular plate is 154 square cm. Find its circumference. |
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Answer» Like if you find it useful |
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| 38. |
EXERCISE 3(4 Marks Question1. A={a, b, c, d, e, B={b, d, f, g). Verify thatn(A B)=n(A)+n (B) = n(AoB). |
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| 39. |
Exercise 1.21. Subtract02 from 3mm from 3-3. From-4 |
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Answer» Give me answer |
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| 40. |
Factorise:(i) 49a2 +70ab + 25b225 , y24 |
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| 41. |
Find the equation concentric with x2 + y2-4-6y-3 = 0 and which touches y-axis. |
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| 42. |
2. If R(x, y) : r2 + y24 ; x, y e'l is a relation on Z, write the domain of R. |
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Answer» Will it go upto infinity? Thanks |
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| 43. |
Verify Rolle's theorem for the following functionsand the intervals:3.f(x)= sin 2x on | 0, |
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Answer» samaj mein nahi aaya please tell me another answer |
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| 44. |
2(c) (2ind the value ofx4y.z" İn given fgi120 |
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Answer» x ,y , z will be angles of triangle due to vertically opposite angletherefore x+y+z = 180, which is sum of angles of triangle |
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| 45. |
Verify Lagrange's mean value theorem for the function f(x)-x-5x-3 x in [1, 3] |
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Answer» thanks you |
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| 46. |
EXERCISE 3(4 Marks Questions)1. A={a, b, c, d, e, B={b, d, f,g). Verify thatn(A B)= n(A) + n(B)- n(A B).Verification : |
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| 47. |
Find 30 % of 86.ind 21% of 200hat is 80% of 120 |
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| 48. |
ind the domai n1 |
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Answer» so the domain is all real numbers. |
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| 49. |
YUkt 4 g 7 eनए हु IR घप |
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Answer» nice questions.the question is very easy 18 is the right answer of 18 is the right answer 18 is a. correct answer 18 achar pad hai , this is the right answer your question please like mY answers answers 18 is the correct answer 18 variables are rhere in tge question 18.......................... |
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| 50. |
Find the volume of a sphere whose surface area is 1 |
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