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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4. By using suitable identity, simplify (xy - yz)2...-.-2)2C |
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Answer» As(a-b)^2= a^2+b^2-2absox^2y^2+y^2z^2-2xy^2z |
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| 2. |
SECTION B7.Find the remainder when péx)r3x-22+x-7 is divided by+3)AD K AB16 |
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| 3. |
32/100000 |
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Answer» =0.00032 this is the answer 0.00032 is the correct answer Answer will be 0.00032 the answer is 0.00032 0.00032 the correct answer of the given question 32/100000=0.00032 is the correct answer =0.00032 is the correct answer |
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| 4. |
Evaluate :dx4+x² |
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Answer» the question is not clear 1/ we can write as2²+x ² in denominator and then use the formula for1/ a²+x² Here i hope u will understood thank u it's right answer is π/4 yadi eak sanku ki uchai and sautan kramsh :15cm and 500π cm3 hai tab sanku ke aadhar ki tirijya gyat kijiye π/8 is the currect answer your answer is pai by 8 |
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| 5. |
Jolliberis.Section BQ.21 Add the following.(1) (-4) & (p=9)(ii) (2a+3b) & (ba-4b)Q.22 The area of rhombus is 240 cm and one of its diagonal is 16 cm. Find other diagonal.0.23 write the pytogorean tripletifone number is 6.Q.24 Simplify using identity(-4) (-4,100.25 Solve using identities.(4x +972Q.26 Subtracts (2x2-9x-2) from (8x2 +11x-1)2 |
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| 6. |
\operatorname { cos } \frac { x } { 2 } - \operatorname { cos } 3 x \operatorname { cos } \frac { 9 x } { 2 } = \operatorname { sin } 5 x \operatorname { sin } \frac { 5 x } { 2 } |
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| 7. |
\int \frac { \operatorname { cos } x } { 1 + 9 \operatorname { sin } ^ { 2 } x } d x |
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| 8. |
\int _ { - \frac { \pi } { 2 } } ^ { \frac { \pi } { 2 } } \operatorname { sin } ^ { 9 } x d x = ? |
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| 9. |
. Evaluate:dx |
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Answer» no this is wrong |
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| 10. |
Evaluate :-dx+ 1x |
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| 11. |
\left. \begin{array} { l } { ( x + 1 ) ( x ^ { 2 } + 9 ) } \\ { \frac { \operatorname { cos } x } { \sqrt { 4 - \operatorname { sin } ^ { 2 } x } } } \\ { x ^ { 3 } } \\ \hline \end{array} \right. |
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| 12. |
42 \text { Find } \int \frac { \operatorname { sin } 2 x \operatorname { cos } 2 x d x } { \sqrt { 9 - \operatorname { cos } ^ { 4 } ( 2 x ) } } |
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| 13. |
SECTION A+22 +11.Differentiate/(x)with respect to. |
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| 14. |
4. Tie your answer sheets properlySection AIrP (x)2-2Zx+1, then find P(22) |
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| 15. |
56. A trader offers successive discounts of 20% &[ Ans : 32%)7. Akhil buys Jewellery worth Rs 50,000 from jaipur ai t Jaipur15% what is the total discount aWhat was his profit percent? [ Ans ; 209%l100 durnur and resells it in Delhi for Rs 61,200. If thea discount of 12% on thehichanning mall, the mall allowsR5 760, calculate the price at w? What is his discount |
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| 16. |
The value of a flat worth Rs 500000 is depreciating at the rate of 10% per annum. In how manyyears will its value be reduced to Rs 364500?a) 126.b) 2c) 3d) 4 |
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| 17. |
6. Mrs Saxena withdrew 100000 from her bank account. She purchased a TV set for338750, a refrigerator for 23890 and jewellery worth 35560. How much money was leftwith her? |
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| 18. |
sin e Then sin , x = θ, we havesin.' ( 2xv1-x, )sin'( 2 sin θ ./l-sin , θ )- sin ' (2sine cos8)- sin (sin20)- 22 sin xcos θ, then proceeding as above, we get. sını (2xJ1-r )=22-+tan-111=tan-1-4how thattan:roperty 5 (i). we have2-i2 11221520.tan+ tantan= tan2 11-Go sin/,-π < x <3t inthe simplestcos xpress tarnrite2cos-sin2sin xcos +sin2 -2sin cos |
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Answer» let y = sin x/(1-cos x) we need to find t such that tan t = y ..1 we know sin x = 2 sin x/2 cos x/2cos x = 1- 2 sin^2 x/2so 1-cos x = 2 sin ^2 x/2 now y = sin x/(1-cos x) = (2 sin x/2 cos x/2)/(2 sin ^2 x/2) so y = cot x/2 = tan (pi/2 - x/2) as cot a = tan (pi/2 -a) using 1 t = pi/2 - x/2 orarctan ( sin (x)/(1-cos x)) = pi/2 - x/2 |
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| 19. |
53. A person has assets worth Rs. 1,48,200.Hewish to divide it amongst his wife, sonanddaughter in the ratio 3:2:1 respectively.Fromthis assets the share of his son will be(a) Rs. 74,100(b) Rs. 37,050(c) Rs. 49,400(d) Rs. 24,700 |
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Answer» 2/6 * 148200= 148200/3= 49400option c operation (c)is the correct answer option, c rs 49,400is the right answer option, c 49,400 is the right answer the correct answer is operation c |
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| 20. |
How much chicory at Rs. 4 a kg should be added to 15 kg of tea at Rs. 10 a kg so that themixture be worth Rs. 6.50 per kg?(A) 15 kg(B) 18 kg(C) 12 kg(D) 21 kg |
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Answer» 21kg is the correct answer option (D) is the right answer. option d is the correct answer of the given question opction D is right answer 21kg is the correct answer 21kg is the best answer Option D is the right answer |
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| 21. |
LUIINCULAsin x + cos X तो dy का मान निकालें।11. यदि y =sinx - cosx |
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| 22. |
Evaluatedx11-sin x |
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Answer» tanx +secx +c is the right aswer |
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| 23. |
sin x cos x65.find |dxsinx cosx[2017 O.D set-11 1 mAns log sin 21+C |
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Answer» (Sinx -cosx)^2 = sin^2x + cos^2x -2sinx.cosx =1-2sinx.cosx =1-sin2x Sin^2x -cos^2x =-cos2x Integration -cos2x/(1-sin2x) 1-sin2x = t -2cos2x dx =dt Integration (-cos2x /t ) × dt/-2cos2x Integration 1/2 (1/t dt) =1/2 log|t| + log c log (1-sin2x )^1/2+logc log [(1-sin^2x)^1/2 ×c] |
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| 24. |
\operatorname lim _ x \rightarrow 0 \frac \operatorname sin 11 x 9 x |
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Answer» It's a 0/0 form so diffrentiated both numerator and denominator = 11cos(11x)/1now putting limit= 11cos(0)= 11 |
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| 25. |
(a) Write four negative integers greater than-20.(b) Write four integers less than-10. |
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| 26. |
(a) Write four negative integers greater than-20. |
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| 27. |
B.(a) Write four negative integers greater than-20. |
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| 28. |
o. The difference between two positive integers is 50 and the ratio of these integers is 1: 3. Find theseintegers |
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Answer» Let the two numbers be x and yx - y = 50y/x = 1/33y = x3y - y = 502y = 50y = 25x = 3(25) = 75 |
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| 29. |
The difference between two positive integers is 50 and the ratio of these integers is 1:3. Find theseintegers. |
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Answer» let x be included in this ratio3x-x=502x=50x=251st integer=252nd integer=25×3=75 |
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| 30. |
Two positive integers are in the ratio 3:7 and their sum is 70integers.. Find |
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Answer» Numbers are in 3:7 ratio suppose numbers are 3x and 7x 3x + 7x = 70 10x = 70 x = 7 numbers are 21 and 49. If you find this answer helpful then like it. |
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| 31. |
the difference between two positive integers is 30.the ratio of these integers is 2:5find the integer |
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Answer» 1st positive integer=2x2nd " " =5xA/Q5x-2x=303x=30x=30÷3x=101st integer=2x=2×10=202nd integer=5x=5×10=50 |
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| 32. |
B) Sum of the squares of two consecutive positive integersis 613. Then find the two integers. |
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| 33. |
The difference between two positive integers is 36. The quotient when one integer is divided by theother is 4. Find the two integers. |
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| 34. |
1. Let x be a rational number whose decimal expansionterminates. x is expressed in the form where p and q co-prime. Then prime factorisation of q is (m, n are non-negativeintergers) |
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Answer» prime factorization of q =2^m 5^n thanks |
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| 35. |
fraction is equivalent to .Find the raeuo.9. The difference between two positive integers is 50 and the ratio of these integers is 1 : 3. Find thesethe digits exceedsintegersoshoin |
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| 36. |
43After how many digits decimal expansion of rational number 723 terminates22x53 |
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Answer» Decimal expansion = 43/4*1250.086 after decimal three digits are there |
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| 37. |
10. Write the decimal exapansion of the Rational Number without actual divisiondurt of whose zeros are -3 and 2 Te |
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Answer» 35/50 =35/2*5^2 =35*2^2*5^2/2*2*5^2 =35*4*25/2^2*5^2 =3500/10^4 =0.35 |
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| 38. |
21. The smallest rational number by which should be multiplied so that its decimaexpansion terminates after one place of decimal, isW 103(d) 30 |
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| 39. |
15) Which one of the following is a correct statementecimal expansion of a rational number is terminatingb) Decimal expansion of a rational number is non-terminatingc)Decimal expansion of an irrational number is terminatingd) Decimal expansion of an irrational number is non-terminatingnd non-repeating.. |
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| 40. |
g o था s & 1) oWB2 D gis ™ o मे कर है oyC TR AT T |
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Answer» it is not clear image |
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| 41. |
Write the number of elements in set AA = {3, 5,9} |
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| 42. |
EXERCISE 13.1ps box 1g 125n wide sod àS con deep is to be maske t is opened ar thewe bossus he hikeisof the plastis sheet, determinesthe aoea e İthe sheet aeganedfor making tlie boshes sheet forse' coss 220 |
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| 43. |
1. Why did the Indians boycott the Simon Commission? |
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Answer» due to their brutal behaviour towards indians TheIndian Statutory Commission, commonly referred to as theSimon Commission, was a group of seven British Members ofParliamentunder the chairmanship ofSir John Simon. The commission arrived inBritish Indiain 1928 to study constitutional reform in Britain's largest and most important possession. One of its members wasClement Attlee, of the Labour Party, who became committed to Indian independence by 1934 and achieved that goal asPrime Ministerin 1947 in the .granting of independence to India and Pakistan.[1] At the time of introducing theMontagu–Chelmsford Reformsin 1919, the British Government declared that a commission would be sent to India after ten years to examine the effects and operations of the constitutional reforms and to suggest more reforms for India.[2]In November 1927, the British government appointed the Simon Commission to report on India's constitutional progress for introducing constitutional reforms, as promised. The Commission was strongly opposed by many in India . It was opposed by Nehru, Gandhi, Jinnah, theMuslim LeagueandIndian National Congressbecause it contained seven members of the British Parliament but no Indians. Indians saw it as a violation to their right of self determination and insult to their self respect. Prominent Indian nationalistLala Lajpat Railed a protest inLahore. He suffered a police beating during the protest, and died of his injuries on 17 November around 1928. |
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| 44. |
m the lankse hes psint on a cinle is at the same distance from the(b) A diameter =radius |
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Answer» Every point on a circle is at the same distance from the centre. A diameter = 2 × radius |
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| 45. |
3. Ais a combination of one whole number and oneproper fraction. |
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Answer» Amixed numberis a combination of a whole number and a proper fraction.example are:2 1/2 |
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| 46. |
at is the total number of proper subsets of a set consisting of selements? |
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Answer» All sets are proper subsets except the set that contains all of the elements. The number of subsets is always 2^n where n is the number of elements in the set; in this case 5. There should be2^5=32 subsetsincluding the empty set and the set itself. |
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| 47. |
In ΔPQR, right angled at Q, PR+QR-25cm and PC-5cm. Find the values of sinP,cos P and tanP. |
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| 48. |
If q sin θp, find the value of sin θ + cos θ in terms of p and q.5sin A-2cos A |
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| 49. |
The number of the proper subset of ta, b, c} is:2(b) 8(d) 7 |
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Answer» { a, b, c} Number of proper subsets = 2ⁿ n is number of elements in set 2³ = 8 b) is correct |
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| 50. |
\left. \begin array l \angle P %2B \angle Q = 90 ^ \circ \text then show that \\ \sqrt \frac \operatorname sin P \operatorname cos Q - \operatorname sin P \operatorname cos Q = \operatorname cos ^ 2 P \end array \right. |
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Answer» sqrt(sin P/cos Q) - sin P cos Q= sqrt(sin P/cos(90-P) - sin P cos Q= 1 - sin P cos (90-P)= sin^2 P + cos^2 P - sin P sin P= sin^2 P + cos^2 P - sin^2 P= cos^2 P |
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