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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. |
uation for each of the following situationsa rectangle equals to the sum of twice the length and twice the breadth. (Take leng/and breadth as b) |
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Answer» Perimeter = 2*(l+b) where l is a length and b is a breadth. If you find this answer helpful then like it. |
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| 2. |
17. Find the least number which when divided by 20, 25, 35 and 40 leavesremainders 14, 19, 29 and 34 respectively.1.11:1. |
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Answer» 1394 is right answer of this question. |
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| 3. |
A rectangular paper of length 66 cm and breadth 14 cm is rolled into a cylinder along thelength. Find2017. 28929214the Total Surface Area of the cylinder.14777 |
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Answer» Length of Reactangular paper = 66 cmBreadth of Reactangular paper = 14 cm As Reactangular paper is rolled into cylinder along length then breadth of Reactangular paper will be equal to height of cylinder and length of Reactangular paper will be equal to circumference for circular end of cylinder. Let height of cylinder be hLet radius of cylinder be r So,2*pi*r = 66 cm2*22/7*r = 66r = 66/44 * 7r = 21/2 = 10.5 cm h = 14 cm Total surface area of Cylinder = 2*pi*r(r + h) = 66*(10.5 + 14)= 66*24.5= 1617 cm^2 |
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| 4. |
14. The polynomial p(x)x+3x-axt b when divided by (x - 1) and(x+1) leaves the remainders 5 and 19 respectively. Find the values ofsand b. Hence, find the remainder when plx) is divided by (t-2 |
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| 5. |
14. If α and β are the zeros of the quadratic polynomial f(x)-r-px+, prove that4222 |
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| 6. |
14. The polynomial p(x)-2+3x + b when divided by (x-1) and(x + 1) leaves the remainders 5 and 19 respectively. Find the valyes ofand b. Hence, find the remainder when plx) is divided by (x-2)1V1 |
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| 7. |
f ( i v ) 92 ^ { 2 } |
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Answer» 92^2=(90+2)^2=90^2+2*90*2+2^2=8100+360+4=8464 |
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| 8. |
14. The polynomial pa)--2x+3x-ax+ b when divided by (x -1) and(x + 1) leaves the remainders 5 and 19 respectively. Find the values of aand b. Hence, find the remainder when p(x) is divided by (x-2). |
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| 9. |
What per cent of 72 is 18? |
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| 10. |
(ख) » और )/ में एक ऐसा सम्बन्ध ज्ञात कीजिए कि बिन्दु (४, .) बिन्दुओं (3, 6)(-3, 4) से समदूरस्थ हो। हैLN e - T S - - - |
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| 11. |
places in he y A oybe dosoaEpn |
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Answer» plz send a clear pic. of your question |
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| 12. |
peDay: Sindy Sun Shine1). Sir (& J+cos (2)=?tlostnoet d none of these2) Toc la 7 |
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Answer» Answer: c)π/2 Explanation |
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| 13. |
17/ The length of a rectangle is 6 m less than twice its breadth. If the perimeter of the rectangle is 54 mfind its length and breadth |
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| 14. |
Example 13. If x cose +isine andcosp + i sin Ď then prove that\frac{x-y}{x+y}=i \tan \frac{\theta-\phi}{2} |
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| 15. |
DA/NA Solved Paper 2017 (U)8. If two fair dice are thrown, thenwhat is the probability that the sumis neither 8 nor 9?64 |
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| 16. |
If x2 = 11 + 2130, find :(ii)(1) *1(ii) x + x(iv) x - |
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| 17. |
29912992-928Ă84 |
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Answer» ? => =for both the places |
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| 18. |
Tuu the Value of a.14. The polynomial px)-r-2+3r-ax+ b when divided by (-1jand(x + i) leaves the remainders 5 and 19 respectively. Find the values of aand &. Hence, find the remainder when plx) is divided by (x-2), |
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| 19. |
14. lf 3x + 4y = 16 and xy=4; find the value of92 + 169 |
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Answer» 3x+4y=16 Squaring on both sides (3x+4y)^2=256 (3x)^2+(4y)^2 +24xy=256 9x^2+16y^2+96=256 Answer is 160 Not understanding |
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| 20. |
2. Find () 922(ii) 3252 |
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Answer» (i) 9^3/2=9×9^1/2 =9×3=27 (ii) 32^2/5=32^1/5×32^1/5 1/32^5×1/32^5 now u can solve using calculator for correct answer |
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| 21. |
ua r (Performance Rating))-l AiurlafenRRlOlrt5 12 15820 1822 2580 82 8581 90 90 95 97 |
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Answer» Apologies but we are currently taking questions in English only. |
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| 22. |
1 Solve : -+ 1 = 13 15 |
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Answer» x=1/5 is the correct answer |
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| 23. |
Ravinder goes to market with 5 800He buys Ua Chair for 2 135, a pour ofshoes dos 299 Outensils for $286.How much money is left with him? |
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Answer» total money Ravinder has = 800rscost of chair = 135 800-135=665 cost of shoes 99rs 665-99= 566rs cost of utensils= 356 566-356 = 210 210rs is left with him Ravindra left with 210/- ravindra goes to market with $800he buy a chair - $135a pair of shoes for-$99utensils for -$356(135+99+356) 590 |
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| 24. |
1.Solve: |
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| 25. |
Pe 00t7.Five dice are thrown simultaneously. If the occurrence ofered a success, find the probability of atmost 3 successesan e |
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| 26. |
Find answers to the following. Write and indicate how you solved6 ua ln4Is equal to ?(b) Is 16 equal to ?4164(c) Is 5 equal to (d) Is 15 equal to30 |
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Answer» thank you |
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| 27. |
price of the artDlEadth. If the perimeter of the teld breadthetres less than twice the third sual sides of a triangle are each 5uaof the triangle is 55 metres, find the le |
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| 28. |
Example 22 : Change into per centa) 3/5 b) 13/18 |
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Answer» 3/5×100=60%13/18×100=650/9=72.22% |
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| 29. |
2tan xExample 22 Find the derivative ofx cos xsinx5 |
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| 30. |
Example 1: Find+|ii |(11)7(21)(,22 |
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Answer» Please hit the like button if this helped you |
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| 31. |
Find the rank of the matrix A = \left( \begin{array} { c c c c } { 1 } & { 1 } & { 1 } & { 1 } \\ { 1 } & { 3 } & { - 2 } & { 1 } \\ { 2 } & { 0 } & { - 3 } & { 2 } \end{array} \right) |
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| 32. |
1111c-ba-cc-a |
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| 33. |
\left| \begin{array} { c c c } { x + a } & { b } & { c } \\ { a } & { x + b } & { c } \\ { a } & { b } & { x + c } \end{array} \right| = x ^ { 2 } ( x + a + b + c ) |
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| 34. |
a +b B+07 T2ab 26c7La te a +b Elac -2 ab |
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| 35. |
1Solve for x:(a+b+x)ab x |
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Answer» Like if you find it useful |
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| 36. |
a(x+y)+b (x-y)=a^2-ab+b^2;a(x+y)-b(x-y)=a^2+ab+b^2 |
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Answer» Given: a(x+y) + b(x-y) = a² - ab + b² ..(i)., a(x+y) - b(x-y) = a² + ab - b² ...(ii) _____________________________________________________________ To find, The values of x and y. _____________________________________________________________ Adding both the equations, We get, => a(x + y) + b(x - y) + a(x + y) - b(x - y) = a² - ab + b² + a² +ab - b² => 2a(x + y) = 2a² => x + y = a ...(iii),____________________ Subtracting (ii) from (i), => a(x + y) + b(x - y) -(a(x + y) - b(x - y)) = a² - ab + b² - (a² + ab -b²) => a(x + y) + b(x - y) - a(x - y) + b(x - y) = a² - ab + b² - a² - ab + b² => 2b(x - y) = -2ab + 2b² => 2b(x - y) = 2b² - 2ab => 2b(x - y) = 2b(b - a) => x - y = b - a ..(iv) _______________________ Adding (iii) & (iv), We get, => (x + y) + (x - y) a + b- a => 2x = b=> x = b/2 substitute value of x in (iv)y= a - b/2 |
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| 37. |
5.1 × 5.2 solve the questoin by using identies (x+a) ( x+ b)= x2 + ( a + b) x+ ab |
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Answer» 5.1 × 5.2= (5+0.1)×(5+0.2) =(5)²+5(0.1+0.2)+0.1*0.2 = 25+ 1.5 + 0.02= 26.52 thank you for posting me the answer |
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| 38. |
factorise: ab(x*x+y*y)-xy(a*a+b*b) |
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| 39. |
x - \frac { 1 } { x } = 5 , \text { find } ( a ) x ^ { 2 } + \frac { 1 } { x ^ { 2 } } ( b ) x ^ { 4 } + \frac { 1 } { x ^ { 4 } } |
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| 40. |
( x x ) \frac { a } { x - a } + \frac { b } { x - b } = \frac { 2 c } { x - c } , x \neq a , b , c |
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Answer» a / (x - a) + b / (x - b) = 2c / (x - c)=> [a(x - b) + b (x - a)] / (x - a) (x - b) = 2c / (x - c)=> [(a + b) x - 2ab] (x - c) = 2c [x^2 - (a + b)x + ab]=> (a + b) x^2 - [2ab + c(a + b)]x + 2abc = 2cx^2 - 2c(a + b)x + 2abc=> (a + b - 2c) x^2 = (2ab + ac + bc - 2ca - 2bc) x=> (a + b - 2c) x^2 = (2ab - ca - bc) x=> x = 0or x = (2ab - ca - bc) / (a + b - 2c) Please like the solution 👍 ✔️ |
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| 41. |
\frac { x ^ { a ( b - c ) } } { x ^ { b ( a - c ) } } \div ( \frac { x ^ { b c } } { x ^ { a c } } ) = 1 |
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| 42. |
Example 7 Prove that12 + 22 +... n,ne N |
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| 43. |
Jot k77नेक e - o} ad k=7 |
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| 44. |
Example 6: Divide 22 +3x + 1 by x+ 2. |
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| 45. |
The value of k for which (x + 2) is a factorof (x + 1)+ (3x + k)3 is(A)7(C)-11.(B) 7(D)-6- 3(7/3) |
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Answer» x+ 2 is factor of polynomial p(x) = (x+1)^7 + (3x+k)³thenp(-2) = 0so(-2+1)^7 + (-6+k)³ = 0(k-6)³ = 1take cube root on both sidesk-6 = 1k = 7option (B) is correct Can you answer this question also |
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| 46. |
Gri) (x + 7)2 = x2 + 14x + kk |
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Answer» (x+7)(x+7) = x*x + 14x + 49 so k = 49 |
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| 47. |
EXAMPLE22: Two buildings of height 18 mand 13 m are built at a distance of 12 m. Findthe distance between the rooftops of the twobuildings. |
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Answer» Here, ED is parallel and equal to BC To find the distance between their tops, we will have to find AD Here as ED is parallel to BC, angle AED=90 According to the Pythagoras theorem,AE^2 + ED^2 = AD^2=>25+144=AD^2=>169=AD^2=>13=AD friends, there is ED|| BC. Now we have find AD.so the angel AED= 90°.Then According to Pythagoras theorem.,, and answer isAD=13. |
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| 48. |
3. Solve for x:=-+-+-. a + b +x0, a, b, x0.a+b+x a b x4.+EM.3Solve for x: |
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Answer» 3)1/a+b+x = 1/a + 1/b + 1/c 1/a+b+x = bx+ax+ab/abx abx = 3abx + a2x +b2x + a2b+ab2 x2 ( a+b) + x( a2 + b2 +2ab ) + ab( a+b) =0 x2 ( a+b) + x(a+b)2 + a2b+ ab2 = 0 D = b2 - 4ac = (a+b)4 - 4 ( a+b) ( a2b+ab2 ) = a4 + b4 + 4a3b + 4ab3 + 6a2b2 - 4a3b - 4ab3 - 8a2b2 = a4 + b4 - 2a2b2 = (a2 - b2)2 x = -(a+b)2 (+or -) root of (a2-b2)2 / 2(a+b) = -a2 - b2 -2ab +a2 -b2/a(a+b) = -2b2 - 2ab/2(a+b) = -2b(a+b)/2(a+b) = -b similarly the other root is -a |
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| 49. |
(a) Solve:a) Solvex- a b x abx-a-b-x-a-b(x#0, x*a + b)(b) |
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| 50. |
X-D45 If y = v(a - x)(x - b) = (a - b)tan ) thenay is equal toa. Na - x)(x - b)-te b. Ta - x)(x-b)a - X|x-blx-bVa - X |
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