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. |
20. Find the values of a and b so that the polynomial (t3- 10x2+ ax + b) isexactly divisible by (x -1) as well as (x-2) |
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Answer» If you find this solution helpful, Please give it a 👍 |
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| 2. |
24. (+) को सरल करने पर प्राप्त होगा।24.| को सरल करने पर प्राप्त होगा। |
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| 3. |
-3.32x-8 225(2) 5(3) 6(4) 7 |
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Answer» If you like the solution, Please give it a 👍 |
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| 4. |
show 7/4 on number line |
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Answer» This is the representation of 7/4 |
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| 5. |
N7. Locate V10 on number line. |
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Answer» We can do it by using PythagorasTheorem. We can write√10 =√(9 + 1) => √10 =√(3^2+ 1) Construction 1. Take a line segment AO = 3 unit on thex-axis. (consider 1 unit = 2cm) 2. Draw a perpendicular on O and draw a line OC = 1 unit 3. Now join AC with √10. 4. Take A ascenter and AC as radius, draw an arc which cuts the x-axis at point E. 5. The line segment AC represents √10 units. |
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| 6. |
0.5^(-2*x %2B 3)*4^(x - 1)=(1/8)^(-x) |
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| 7. |
⌠A solid cyUndeYdiameter 12CM aid he/ght |
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Answer» Given :Diameter of cylinder = 12 cmSo, the radius = 12/2 = 6 cmHeight of the cylinder = 15 mLet 'h' be the total height and 'r' the radius of the hemisphere respectively.Now,Radius of hemisphere = Radius of the coneFrom the given information.h = 3rVolume of cylinder = Volume of hemisphere + Volume of coneπr1²h = 12× (2/3πr³ + 1/3πr²h)⇒π(6)²*15 = 12π× {2/3r³ + 1/3r²(3r)}⇒ 36*15 = 12× (2/3r³ + r³)⇒ 36*15 = 12× (5r³/3)⇒ 540 = (60r³/3)⇒ 540 = 20r³⇒ r³ = 540/20⇒ r³ = 27⇒ r =∛27r = 3 cmNow, the radius of the hemisphere is 3 cm.Therefore, height of the toy = 3× 3 = 9 cm Like my answer if you find it useful! |
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| 8. |
13:22the arcs of same lengths subtendIn two circles,angles 65°their radii are:(A) 22: 13es,and 110 at the centre. The ratio of12) andanduniversal(1B) 13:22(D) of theseぎ:7(B) 24(A) 247(D) 25(C) 2424The value of sin x- x lies in 2nd qthen the value of tan x is:725The value of sinx-2477er of2425 |
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| 9. |
1)1 7 (x +4) + 8 (x+6) = 11(x+5) +15 (x +3)+ 4244. |
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| 10. |
49. (a - b)x +(a+b)y = a? - 2ab –b?/cove(a+b)(x + y) = a +b2.for 247 Cand |
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Answer» Given that (a-b) x + (a + b)y = a2 - 2ab - b2 -------------(1) (a+b) x+ (a+b)y = a2 + b2 -------------(2) Substracting (2) from (1) we get -2bx = -2ab =2b2 x = a + b Subsitute x in equation (2) we get y = - 2ab / ( a + b). |
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| 11. |
Find matrices A and B, ifT 6 -6and 2B + A =01]T3 2 571-2 1 -7 |24 - B=-42 |
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Answer» Multiply with -1.The sign for every element will modify. where is wrong in my answer please check |
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| 12. |
Which of the following pairs are co-primes?(a) 2&7-(b) 9&22 () 7& 24 |
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Answer» Two numbers are co prime when HCF is 1All three options are correct as thier HCF is 1 a) HCF ( 2 and 7 ) = 1 b) HCF(9,22) = 1 c) HCF (7,24) = 1 thanks |
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| 13. |
5-of 24 =81538.of ?77225(B) 7(C) 8(D) 15 |
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Answer» (B) 7 (5/8) × 24 = (15/7) × ? 15 = (15/7) × ? ? = 15 × (7/15) = 7 |
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| 14. |
सरल कीजिए24U_x-2510+-2624 7 |
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| 15. |
3x _ 42 x+1-1 . Mark the solution on the number line7. Solve4+14 |
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| 16. |
म्य प्र२।| 9. यदि 438 सन्तरों का मूल्य र 1384.08 हो,तो 8 दर्जन सन्तरों का मूल्य लगभग कितनेरुपये होगा?(a) * 500(b) 1300(C) 250(d) * 100 |
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Answer» 438 oranges price = 1384.08 one orange price=1384.08/438=3.16 rupies8 dursen = 12*8=96so 96 oranges price =96*3.16=303.36 rupies 438 ka price : 1384.08 to 1 ka : 1384.08÷438 to 8 dozen ka: 1384.08/438×8×12= 303.36 yani 300 12*8 = 96 so 96*3.16=303.36 rupees 438 🍊 orange=1384.0812×8=9696×3.16=303.36 rupeesanswer b. =300 wright |
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| 17. |
at must be added to cach of the numbers 2, 17,20. 125 to get the numbers which are inportion? |
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Answer» but the numbers are 2, 17, 20, 125 so how it can be 5, 12 and all |
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| 18. |
20. Ravi was asked to multiple a rational nur 2. By mistake he multiplied the manynumber by His answer wasore than the correct answer. Find the ratenumber. |
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Answer» Let rational number be x Then,x * 2/3 = 2x/3 x * 2/9 = 2x/9 2x/9 - 2x/3 = - 3 1/5 2x(1 - 3)/9 = - 16/5 -4x/9 = - 16/5 x = 16/5 * 9/4 x = 9*4/5 = 36/5 Therefore,Rational number = 36/5 |
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| 19. |
Circle the rational numbers and cross the ones which are not rational nurreasons also.1.782.3.4.465.6.1 |
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Answer» a)8/19b) is notc) 7/9d) is note)6/12f)8 /17 |
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| 20. |
. Find five rational numbers between:123 2and(ii)-2 and-1 |
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Answer» 3/5 and 2/33*3/5*3 and 2*5/3*5=9/15and 10/15hence 5 rational number are9.1/15,9.2/15,9.3/15,9.4/15,9.5/15 |
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| 21. |
thha7Omrettaxlanath12cm |
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| 22. |
find five rational numbers between 2/3 and 5/3 with method. |
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Answer» 2.1/3; 2.2/3; 3/3; 3.1/3; 3.3/3 |
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| 23. |
3. Find five rational numbers between 1 and 2. |
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Answer» thank u |
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| 24. |
3 52Find five rational numbers between and |
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| 25. |
6. In Fig. 7.21, ACAE, AB AD ándEAC. Show that BC = DE.わirl,, i,i 1:Ans ntto< BAD =29.D |
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| 26. |
Using appropriate properties find.2 3 5 3 1Write the additive inverse of eac |
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| 27. |
3. Write the following percentages in the simplest(1 mark each)form of the ratios:(i) 60 : 100(ii) 6.25 %Ans. (i)4. Convert the following ratios into percentages:(1 mark each)(i) 21 : 25(ii) 5 : 16Ans. (i) |
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| 28. |
515 913438 194 |
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| 29. |
43What should be added to 515 to get 125? |
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| 30. |
copoThe Rol37od |
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| 31. |
Find the derivative bf ysin x, with respect to x, rol ln si plll |
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Answer» Answer: Step one is to rewrite the function as a rational exponentf(x)=sin(x)^(1/2) Explanation: After you have your expression in that form, you can differentiate it using theChain Rule: In your case:u^(1/2)→(1/2)sin(x)^(−1/2)⋅d/dxsin(x) Then,1/2sin(x)^(-1/2)⋅cos(x)which is your answer |
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| 32. |
inl,he matio.of lanath 0 rol and i shadbeto lto nden |
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| 33. |
\left(x^{3}+8\right) \div(x+2) |
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Answer» thank you |
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| 34. |
63. नीचे दिए गए चित्र में प्रश्न चिह्न के स्थान पर कौनसा अंक आएगा?789 140(a) 1(c) 64(b) 3(d) 121 |
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Answer» (9-2)^2=49; (8-5)^2=9; (6-4)^2=4 then (7-6)^2=1 6-4=2x2=4,8-5=3x3=9,9-2=7x7=49,then 7-6=1x1=1 Ans. |
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| 35. |
10. Find the value of x for which7^{10} \div 7^{8}=\left(\frac{1}{7}\right)^{x} |
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| 36. |
\frac { x } { y } = ( \frac { - 2 } { 3 } ) ^ { 9 } \div ( \frac { - 2 } { 3 } ) ^ { 8 } , \text { find the value of } ( \frac { x } { y } ) ^ { 2 } |
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Answer» x/y = (-2/3)^9÷ (-2/3)^8 = (-2/3)^(9-8) = -2/3 so (x/y)² = (-2/3)² = 4/9 |
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| 37. |
sin (22+5).Differentiate the function with respect to x. |
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| 38. |
4911 64863 ?101212a) 43c) 41b)49d)47Prudence |
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Answer» 41 is the best answer |
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| 39. |
49311 646081063 ?12 12a) 43c) 41b) 49d) 47 |
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Answer» 49 is correct answer This is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spamThis is spam 49 is correct answer |
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| 40. |
Ankit sold two Jeans for? 990 each. On10%. Find his gain or loss per cent in the whole transaction.one he gains 10% and on the other he los |
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| 41. |
& Ankit sold two jeans for 990 each. On one he gains 10% and on the other he lost10%. Find his gain or loss per cent in the whole transaction. |
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| 42. |
13. By selling 144 hens. Mala lost the S.P of 6 hens. Find her loss?14. A shopkeeper sold two pairs of jeans for 720 each gaining 20% on one and losing 20% on theisFind his gain or loss%.at 15% gain. But he had to sell the |
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Answer» let the selling price of each hen=xTotal selling price=144xloss=6xToatal cost price=144x+6x=150xpercentage loss=(6x÷150x)×100 =(6/150)×100= 4% 2. |
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| 43. |
Hemabought two pairs of jeans for R 725 each.She sold one of them at a gain of 8% and theother at a loss of 4%. Find her gain or loss percent on the whole transaction. |
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| 44. |
29. Hema bought two pairs of jeans for725 eachShe sold one of them at a gain of 8% and theother at a loss of 4%. Find her gain or loss percent on the whole transaction.20 Sal |
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Answer» answer is clearly so plzzzzzzz send me answer clearly plzzzzzzz |
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| 45. |
Find the equations of tangent and normal to the curve xy = 10Vh T |
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Answer» Equation of tangent is given by = (y-y1)= M(x-x1)M=dy/dx of the curvexy=10y=10/xdy/dx = (-10/x^2 ) at x = 2M= -10/4=-5/2 so we get the slope nowy1=5 x1 =2y-y1=m(x-x1) be equation of tangenty-5=-5/2(x-2)y+5/2x -10 = 02y + 5x - 20 =0 is the equation of tangent now for equation of normalwe need Mn by using this equationM*Mn = -1Mn *-5/2 =-1Mn =2/5 for equation of tangenty-y1 =Mn (x-x1)y-5 = 2/5(x-2)y-2/5 x -5 + 4/5 = 05y - 2x -21 = 0 be the equation of tangent |
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| 46. |
show that the length.of the subnormal at any point on the curve xy=a2 vanes as the cube ofthe ordinate of the point. |
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Answer» Since, length of subnormal is directly proportional to cube of y, hence, it is directly proportional to cube of abscissa. it is right.thanks a lot |
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| 47. |
Express the following in the form , where p and q are integers and q*0.1) 06(m) 0.47(ii) 0.001 |
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| 48. |
ख) द्विघात समीकरण x--x-6 के शून्यक होंगे।(अ) 2,3(ब)-2.3 (स) ---2-3(द) 2-3 |
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Answer» x=2, 3 is the correct answer me x= -2,3 is the correct answer of the given question x^2-x-6x^2-3x-2x-6x(x-3)+2(x-3)(x-3)(x+2)x=-2,3 (b)-2;3 is correct answer 2 h iska answer sahi -2. 3 is the correct answer option (2) -2,3 is the right answer according to your question tHe x value of (-2 ,3 ) please like my answer The roots of x are -2,3 option 2 is the best answer me please (A )2,3 this is right answer x=2, 3 is the correct answer. x= -2 ,3 is the correct and verified answer |
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| 49. |
0i) Prove that curve y =x^3 and xy-=k cuts at right angle them 3k =1 |
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| 50. |
DELTA N |
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Answer» 2x +3y = k=> 2(2) + 3*(1) = k=> k = 4+3 = 7 thanx |
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