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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. |
1One side of a parallelogram is 18 cm and its area is 153 cm2. Find the distance ofthe given side from its opposite side. |
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Answer» Area of parallelogram = base x height = 153 cm^2 18 X height = 153 height = 153/18 height = 8.5 cm HENCE, distance of the given side from its opposite side = 8.5 cm (ANS) 8.5 cm is the correct answer of the given question Hope it helps you is the correct answer of the given question |
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| 2. |
5 m-n 3m +4n then find the values of the following expressions\frac{m^{2}+n^{2}}{m^{2}-n^{2}} \quad \text { (ii) } \frac{3 m+4 n}{3 m-4 n} |
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| 3. |
m α n, n 15 when m(1) Find m when n 8725, Hence(2) Find n when m155 |
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Answer» m is proponational to nthen m = kn, where k is constantso when m = 25 then n = 15i) so k = m/n = 25/15 = 5/3so, m = (5×87)/3 = 145ii) when m = 135 then n = m/k = 135×3/5 = 81 |
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| 4. |
m α n, n = 15 when m = 25. Hence(1) Find m when n = 87(2) Find m when n = 155 |
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| 5. |
\begin{array}{l}{\text { 6. If } \frac{n !}{2(n-2) !} \text { and } \frac{n !}{4 !(n-4) !} \text { are in the ratio } 2 : 1} \\ {\text { find } n \text { . }}\end{array} |
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| 6. |
Q26. Let l, m , n and l+81, m + om, n + δη are dc" of two adjacent lines andδ¡n every smallangle between them then prove that(69)2 (δ1)24(δm)24(δη)2ORIf d.c are related as I+m+n-0 and I'+m2-n2-0 of two lines then find angle between them. |
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| 7. |
\frac { 9 ^ { n } ( 3 ^ { 2 } ) ( 3 ^ { \frac { - n } { 2 } } ) ^ { - 2 } - 27 ^ { n } } { 3 ^ { 3 m } \times ( 2 ^ { 3 } ) } = \frac { 1 } { 27 } , \text { then find the value of } m - n |
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| 8. |
11. A cirele of radius 2cmis cut out from asquare piece of an aluminium sheelof sao6 cm. What is the area of the left over aluminum sheet? (Take-3.14) |
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| 9. |
3 InFig 749,4 B<ZA and LCs LD. Show thatAD<BC |
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| 10. |
2 ABCDis a rhombus and P. Q. R and S are Owthe mid-points of the sides AB, BC, CDand DA respectively. Show that the quadrilateral PQRS is a rectangle. |
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| 11. |
Line Line n(Converse of comesponding angles axiom)result can be stated in the form of the following theoremorem 66 1 Lises which are parallel to the same line arepi The property above can be extended to more thas two linslet us solve some examples related to parallel lines |
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| 12. |
VINI14x + 1016 Find the value of x if lines |and m are parallel lines cutby a transversal n.18x - 26 |
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Answer» 4x+10=8x-26so 4x-36=0then 4x=36hence x=36/4x=9 |
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| 13. |
4. Prove that sin (n + 1) x sin (n + 2) x + cos (n + 1) x cos (n + 2)x = cos x |
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| 14. |
Simplify:\left(\frac{x^{3 n+1} x^{3 n-1}}{x^{2 n+1}}\right)^{2}, x \neq 0 |
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| 15. |
\begin{array}{l}{\text { 4. Starting from } \lim _{x \rightarrow a} \frac{x^{n}-a^{n}}{x-a}=n a^{n-1} \text { deduce }} \\ {\lim _{x \rightarrow 0} \frac{(1+x)^{n}-1}{x}=n}\end{array} |
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| 16. |
prove that sin(n+1)x. sin(n+2).x +cos (n+1)x cos(n+2)x =cosx. |
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| 17. |
Infig ABCDis asquare. Mis the mid point of ABand CMLPQ, Prove that CP- cQ. |
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| 18. |
3, Ramesh owns a plot worth 10,000. He sells itto Mukesh at a profit of 10%. After sometime,Mukesh sells it back to Ramesh at a loss of 10%,then what is Ramesh's total gain or loss?(a) loses 100(c) gains ? 100(b) loses 900(d) gains 1100 |
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Answer» Cost of plot = 10,000 Mukest get plot at price= 10000(1 + 10/100)= 10000(11/10)= 11000 Mukesh sold plot to Ramesh at price= 11000(1 - 10/100)= 11000(9/10)= 9900 Loss for Ramesh= 10000-9900= Rs 100 |
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| 19. |
cooperativeHow is Mukesh different from the other childrenf Firozabad? Why is the author cheered when she looks |
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Answer» Mukesh is quite different from other bangle makers of Firozabad because he has the courage to take initiative and break from the traditional family occupation. He has strong will power also. He insists on being his own master by becoming a motor mechanic. |
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| 20. |
MATHEMAS8 cm16. Calculate the area of the designed region inFig. 12.34 common between the two quadrantsof circles ofradius 8 cm each.90°8 cm8 cm8 cm |
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| 21. |
Mukesh bought a table for 3250 and paid 350 for its transportation. Then, he sold it for 4000.Find his gain or loss percent. |
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| 22. |
10. Write the terminating decimal numeral forgiven rational numbers.the repeating decimal for each of |
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Answer» (iii) 17/32 is the answer i) 1.75ii) 0.58iii) 0.53125 1)7/4-1.752)29/50-0.583)17/32-0.53125 |
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| 23. |
2. Identify the rational numbers from the given numbers :-13)-12( 5 3) 1 1212 |
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Answer» except b and d all are rational as any number divided by zero is not defined hence it is not a rational number thanks...what about..a, c,e , f those are all rational number..in p/q form I can't do any of this solution so plzz..do that and send..haha |
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| 24. |
8 cm16. Calculate the area of the designed region inFig. 12.34 common between the two quadrantsof circles of radius 8 cm each.908 cm8 cm90°8 cmFig. 12.34125 Summary |
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Answer» thanks |
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| 25. |
Consider thr sequence defined by 4" = ar' + bn + c. Ifa,-3,4. = 13 and 47 = 113, show that3. 17", 87" + 115. |
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| 26. |
â Y defined by f(x) = x,Prove that the function, f: N |
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Answer» post complete question |
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| 27. |
Using Theorem 6.1, prove that a line drawn throughthe mid-point of one side of a triangle parallel toanother side bisects the third side. (Recall that youhave proved it in Class IX) |
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| 28. |
Show that the sequence defined by a,51-7isanA.P,finditscommo22is ot an A P |
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| 29. |
Write the first four terms of the sequence defined by the recursionformula.di = 4An = 32n-1 +204.14, 38, 11004.14, 44, 134O 4, 10, 28,8204,12, 36, 108 |
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| 30. |
) Find the common difference of an A.P whose first term is 5 and the sum of firstfour terms is half the sum of next four terms. |
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| 31. |
If the sum of first four terms of an AP is 40 and that of first 14 terms is 280.Find the sum of its first n terms. |
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Answer» Sn = sum of n terms of an A.P. = n/2 [ 2a + (n-1)d] A/Q S₄ = 40 = 4/2 [2a + 3d] = 2a + 3d = 20 ...........(1) and S₁₄ = 280 = 14/2 [2a + 13d] = 2a + 13d = 40 .........(2) solving (1) and (2) gives a = 7 and d= 2 so Sn = n/2[ 2(7) + (n-1)2] = 7n + n² - n = n² + 6n |
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| 32. |
A P if the 12h term is-13 and the sum of its first four terms is 24. Find thesam of its first 10 terms |
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| 33. |
s et <1 SbďŹ/n 10 +14+...+84ORIl T |
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Answer» Please hit the like button if this helped you |
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| 34. |
0)+—=2e Oy1 1 sही etB 2y 0 |
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Answer» 1/2x + 1/3y = 2 1/3x + 1/2y = 13/6 1/6x + 1/9y - 1/6x - 1/4y = 2/3 + 13/12 -5/36y = 21/12 y = (-5×12)/(36×21) = -5/63 1/2x - 5/189 = 2 1/2x = 2 + 5/189 = 383/189 x = 189/766 |
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| 35. |
\pm \sqrt{100 y^{8}} |
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| 36. |
The volume of spherical balloon being inflated changes at a constant rate. Ifinitially its radius is 3 units and after 3 seconds it is 6 units. Find the radius ofballoon after seconds. |
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| 37. |
3-Write any 5 rational numbers between |
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Answer» answer to your 2 is best rational 6 and 8 cm is 24 then five rational are -4/24,-3/24,-2/24,-1/24,1/24 6 and 8cm is 24 then five rational are |
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| 38. |
Write the rational numbers -8' 8 5 14 7 with positive numerators. |
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| 39. |
3. यदि 4tan 8 =5, तो2 sin 8 +2cos8 का मान होगा6 cos 0 - 3 sin e(a) 25(८) 18(d) 2७) ।13 |
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Answer» tan theta = sin theta/cos theta=5/4sin theta=5,cos theta=4=2(5)+2(4)/6(4)-3(4)=18/12=3/2 |
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| 40. |
है “सा e% 3 45in0 —cosO+1g 4tan O =3 2 1 | el ) का मान ज्ञात कींजि4 अं 09+ 0086 - |व. s, ४ q |
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| 41. |
९.2 456८ A-4tan’ 4 (78° |
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Answer» 4(sec^2x-tan^2x)4(1)=4 |
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| 42. |
5cos? 60° +4sin’30° 4tan” 45°sin®30° +cos” 45° |
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| 43. |
. The force exerted to pull a cart is directly proportional to the acceleration producedin the body. Express the statement as a linear equation of two variables and drawthe graph of the same by taking the constant mass equal to 6 kg. Read from thegraph, the force required when the acceleration produced is (i) 5 m/sec(ii) 6 m/sec |
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Answer» thanks again for your help |
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| 44. |
ax which tth |
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Answer» Compare x² - 2px + 1 = 0 with ax² + bx + c = 0., a = 1 , b = - 2p , c = 1 , If roots are not real then discreaminant < 0 b² - 4ac < 0 ( - 2p )² - 4 × 1 × 1 < 0 4p² - 4 < 0 4p² < 4 p² < 4/4 p ² < 1 p < ± 1 Therefore , If p < ±1 then the equation has no real roots. Like my answer if you find it useful! |
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| 45. |
144252630*(qquad*text) |
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Answer» Hcf=144÷252=108÷144=36÷108=3; 252÷630=25÷252=2(remainder) |
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| 46. |
x ^ { 2 } + \frac { 1 } { x ^ { 2 } } = 66 \text { show that } x - \frac { 1 } { x } = \pm 8 |
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Answer» I have answered briefly |
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| 47. |
mc,2. Write four more rational numbers in each of the1 -2-35 10 15 20 |
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Answer» the four more rational numbers are -15/25 , -18/30 , -21/35 , -24/40 2) the four more rational numbers are-4/16 , -5/20 , -6/24 , -7/28 |
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| 48. |
1. What is a rational number. And write 5 rational numbers betweenand;WWWWWW |
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Answer» volume of cube = 6×6×6=216 |
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| 49. |
(x) given /-28, S 144, and there are total 9 terms. Find a |
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Answer» Like if you find it useful s=n/2(a+l) 144=9/2(a+28) 144*2/9=a+2832-28=a4=atherefore a=4 |
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| 50. |
(ix) given a 3, n 8, S 192, find d(x) given1-28, S-144, and there are total 9 terms. Find a. |
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