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. |
prl].fil-lryfind the values of xandy.21 I-11 10 |
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Answer» 2x-y=103x+y=5 Add 5x=15x=15/5=3 y=2x-10y=6-10=-4 |
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| 2. |
In Fig. 8.5. AABC is isosceles with AB = AC. Find the values of Xandy |
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Answer» We know that the sum of the interior angles of a triangle is 180 °.then, A+B+C=180° A+B+30°=180°A+B=150°so, A=B=75° (Given, A=B)find the value of x and y ,x=180°-75°=105° ....( from external Angle.) y=180°-75°=105° Hence, x=y=105°
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| 3. |
2.213 2.ind A |
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| 4. |
20. 7 If A and B are (-2, -2) and (2. - 4) respectively, find the coordinates of P such that%)APAB and P lies in the line segment AB. |
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Answer» AP=3/7AB(AB=AP+BP)AP=3/7(AP+BP)7AP=3AP+3BP4AP=3BPratio = 3:4=m1x2+m2x1/m1+m2,m1y2+m2y1/m1+m2 |
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| 5. |
6. * is a binary operation defined on Q. Find which of the following binary operations arecommutative and which of them are associative?(i) a* b a-b(iv) a* b (a -b)(ii) a* bab4(ii) a* b a+ b+ aba + b(v) a*b a+ ab(vi) a* b |
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Answer» Sir please tell me the answer of the (III) part |
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| 6. |
3.Find the smallest number exactly divisible by 12, 20, 24 and 32. |
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Answer» Smallest number exactly divisible by 12,20,224 and 32 is their LCM. Prime factorisation: 12 =2*2*320 =2*2*524=2*2*2*332=2*2*2*2*2 LCM is given by the product of prime factors, each raised by the highest exponent. As 2 occur maximum 5 times, 3 and 5 occur one time each. LCM =2*2*2*2*2*3*5 =480 Hence, the required smallest number is 480. |
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| 7. |
न प. ३ एम कर थे न22... 222. |
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Answer» its wrong answer is 242.2 it's wrong answers. its answers is 242.2 IT'S RIGHT ANSWER IS =1211/160=7.56875 7.56875 is the correct answer |
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| 8. |
P 72:५0" 222 10l S a2 AT AR(&) 22 («4 2...८८ 5 |
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Answer» sin3x=sin60cos30+cos60sin30sin3x=(√3/2)*(√3/2)+(1/2)*(1/2)=3/4 + 1/4=4/4=1 Sin3x=1Sin3x=sin903x=90x=90/3=30 Option b is correct |
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| 9. |
ii)given a" = 4, d = 2, S"=-14, find n and a |
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| 10. |
ii) given an-4, d-2. Sll_-14, find n and a. |
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Answer» an=a+(n-1)d=4a+(n-1)2=4 a+2n-2=4a+2n=4+2a+2n=6a=6-2nsn=n/2[2a+(n-1)d]=-14 n/2[2a+(n-1)2]=-14 an+n(n-1)=-14(6-2n)n+n²-n=-146n-2n²+n²-n=-14-n²+5n=-14n²-5n=14n²-5n-14=0 n²-7n+2n-14=0 n(n-7)+2(n-7)=0(n-7)(n+2)=0either, n-7=0or, n=7or, n+2=0or, n=-2∵, n can not be negative ;∴, n=7∴, a=6-(2×7)=6-14=-8∴, n=7 and a=-8 |
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| 11. |
28. Ifd is the HCF of468 and 222, find the value of integers xandy which satisfy d=468x + 22 |
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Answer» HCF of 468 and 222 468 = (222 x 2) + 24222 = (24 x 9) + 624 = (6 x 4) + 0 Therefore, HCF = 6 6 = 222 - (24 x 9)= 222 - {(468 – 222 x 2) x 9 [where 468 = 222 x 2 + 24]= 222 - {468 x 9 – 222 x 2 x 9}= 222 - (468 x 9) + (222 x 18)= 222 + (222 x 18) - (468 x 9)= 222[1 + 18] – 468 x 9= 222 x 19 – 468 x 9= 468 x -9 + 222 x 19 Hence, HCF of 468 and 222 in the form of 468x + 222y is 468 x -9 + 222 x 19 Like my answer if you find it useful! |
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| 12. |
10+ 29-10 = |
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Answer» 10+29=3939-10=2929 is answer bhai 10+29-3939-390 is answer 10+29-1039-10 =29ßø, thé ànßwèr is 29 |
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| 13. |
21- 118222 t 3ind the cn |
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| 14. |
draw And describe 3D shapes |
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Answer» This factsheet looks at three specificexamples of 3D shapes, defining them and giving a recognisable real lifeexample. This factsheet looks at cubes, pyramids and cylinders, but could be extended to look at othershapesincluding cuboid, sphere, cone, prism, etc. |
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| 15. |
Find the perimeter of these shapes : |
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Answer» 1 you will do construction join BD.after construction u will see that trapezium and triangle is formed and take length of BD be 5 cm. use formula of triangle and trapezium. then add all the values u will get the answer a) Perimeter = sum of all sidesPerimeter = (3+3+3+5+5) = 19 cm b) Perimeter = sum of all sidesPerimeter = 3 × 5.5 cm = 16.5 cm |
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| 16. |
1.1#x is the binary operation on N defined asa * ba+ b - ab find 2 * 3 |
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Answer» right answer hai aapka -1 |
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| 17. |
a*b=a+2b for all a,b belongs to Q...binary operation is not commutative.prove that... |
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Answer» For commuative a * b = b* a ,let take a = 5 and b = -6a * b = 5 + 2 × (-6) = 5 -12 = -7b* a = -6 + 2×(5) = -6 + 10 = 4So, a * b is not equal to b* a, so not commuative. |
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| 18. |
ie opdration * given by x * уx+y-xy is a binary operation on Z, Q and R butnot on N |
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| 19. |
Let be the binary operation on N given by a b-L. C. M. of a and b. Find 12 20. |
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Answer» Given:a*b= LCM of a and bNow12 = 2 × 2 × 320 = 2 × 2 × 5 LCM = 2 × 2 × 3 × 5 LCM =60 This a*b=60 |
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| 20. |
(vi) given - Lu"Wii) given a = 8,0 = 62, S = 210, find n and d.14 find n and a |
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Answer» Sn=n/2(a+a+(n-1)d)an=a+(n-1)dhence210=n/2(8+62)n=420/70n=662=8+5*d54=5*dd=54/5 |
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| 21. |
(1x) a*b=la-bl7. Let * be a binary operation on Z defined bya* b= a + b - 4 for all a, bez(i) Show that '*' is both commutative and associative. |
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| 22. |
Let * be a binary operation on N given by a * b -HCF of a and b.Find the value of 22 4 |
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| 23. |
he set of all integers x for which 60 is a natural number. |
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Answer» full explain samajh nii Aya |
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| 24. |
Outer measures of a closed wooden boxthickness 1 cm are 32 cm Ă20 cm Ă 17 cm.its capacity.BJECTIVE ASSIGNMENN |
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Answer» thanks a lot |
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| 25. |
If d is HCF of 40 and 65, find the value of integers x and y which satisfy d=40x+65y |
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Answer» First we will find the hcf. Since 65>45 Therefore, 64=40×1+25 40=25×1+15 25=15×1+10 15=10×1+5 10=5×2+0 Since remainder is 0 Therefore hcf is 5 To do it in linear combination we have 5=15-(10×1) 5=15-(25-15×1) 5=40-25×1-(25-40×1-25)... And so on till we get 5=40(5)+65(-3) Now comparing 40x+65y with our ans we get that , x=5 and y=-3 |
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| 26. |
The difference between two positive integers is 36. The quotient when one integer isdivided by other is 4. Find the integers.3.(Hint: If one number is 'x', then the other number is 'x-36') |
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Answer» Thank you , yo man |
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| 27. |
[Zzz) dciu)the 10 ol Heart29. If d is HCF of 40 and 65, find the value of integers x and y which satisfy d = 40x + 65y. |
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Answer» HCF of 40, 65 = 40 = 2³ × 5 65 = 13 × 5 HCF = 5 So, d = 40x + 65y 5 = 40 × 5 + 65 × (-3) So, x = 5 and y = -3 ( You can use Euclidean division algorithm) |
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| 28. |
111+222=? |
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Answer» 333 is the correct answer 333 is the right answer 333 is answer the is 111+222=333 right answer 333 is correct answer. 333 is correct answer 111+ 222= 333 is correct answer 333 correct answer hai 111+222=333 is the correct answer 333 is correct hai bhai... 333 is right answer..... The right answer is 333 333 is the right answer 333 is the correct answer 333 is the right answer 333 is the right answer of 111+222 333 is right answer OK 333 is tha right answer 111+222=333 correct answer according to your question bhai The right answer (333) 333 is the right answer according to your question 333 is right answer.... 333 is the correct answer to your question 111+222=333 is right ans 333 is the correct answer 111+222=333 is the correct answer. 333 is the right answer 333 is the right answer bro... 333 is the right answer bro.... results of these number is 333 333 is correct answer |
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| 29. |
what is the shapes |
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Answer» Ans :- A shape is the form of an object or its external boundary, outline, or external surface, as opposed to other properties such as color, texture or material composition. |
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| 30. |
222+333 |
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Answer» the answer of your question is 555 आपके प्रश्न का उत्तर 555 |
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| 31. |
(1) Let S be a non-empty set and o be a binary operation on S defined byX ; X, y E S. Determine whether o Is conı mutative and associative. |
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| 32. |
Faliate -22-222 |
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Answer» let x =√-2+2√-2+2√....∞here √-2+2√ is repeating so it can be substituted as x so, x = √(-2+2x) => x²= -2+2x so, x²-2x+2 = 0 => x = 2±√4-4.(2)/2 = 1±2i the value of x = 1-2i , 1+2i. |
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| 33. |
1. Let * be a binary operation on N given by ab HCF (a, b) a, b eN. Write the value of 22* 4. |
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| 34. |
7. Let * be a binary operation on Z defined bya*b = a +b - 4 for all a, bez(i) Show that '*' is both commutative and associative.CAT:1:1 |
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| 35. |
Show that G = {1,-1,1,-i} where i = -1 is an abelian group withrespect to multiplication as a binary operation.Prove that every field is an integral domain .But the converse is nottrue. |
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Answer» yes it is a binary operation |
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| 36. |
If a binary operation is defined by a * b=a^{b}, then 3 * 2 is equal to |
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Answer» thanx bro |
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| 37. |
डूह़ानखत्5 :u9aZ 4 84abt 36 b[Tor SRk L, |
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| 38. |
15. The shaded area in Fig. 17.19 between thecircumferences of two concentric circles is346.5 cm2. The circumference of the inner circle is88 cm. Calculate the radius of the outer circle.(Take 22)(ICSE 1995)-π =Fig. 17.19 |
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| 39. |
2*desunt.5 and 6nationallünumbent betweenso and |
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Answer» 5.1 5.2 .5.3 5.4 5.5 |
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| 40. |
8. If d is the HCF of 468 and 222, find the value of integers x and y which satisfy d-468r+222 |
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Answer» HCF of 468 and 222 468 = (222 x 2) + 24222 = (24 x 9) + 624 = (6 x 4) + 0 Therefore, HCF = 6 6 = 222 - (24 x 9)= 222 - {(468 – 222 x 2) x 9 [where 468 = 222 x 2 + 24]= 222 - {468 x 9 – 222 x 2 x 9}= 222 - (468 x 9) + (222 x 18)= 222 + (222 x 18) - (468 x 9)= 222[1 + 18] – 468 x 9= 222 x 19 – 468 x 9= 468 x -9 + 222 x 19 Hence, HCF of 468 and 222 in the form of 468x + 222y is 468 x -9 + 222 x 19. |
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| 41. |
6. If P(x, y) is a point equidistant from the pointsA(6-1) and B(2, 3), show that x-y3. |
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| 42. |
If 2-3-6 then show that c - aa+b |
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| 43. |
2×222 |
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Answer» 444 is the right answer 444 is right answer........ 2 × 222 = 444 is your answer of the following question . 444 is the right answer |
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| 44. |
222*2 |
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Answer» 222 ×2=444 222×2=444 |
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| 45. |
SUBJECTIVE TYPE QUESTIONS1.What number should be added toüSO11as to get26?33 |
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| 46. |
Factor the following p^3 + 27 |
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Answer» p³+3³ a³+b³= (a + b) (a² - ab + b² ) = (p+3)(p²-3p+9) |
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| 47. |
EXEROISE 3,4Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainteeach of the following:p(x) -- 3x2 + 5x -3, g(x)-x-2 |
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| 48. |
Findp(0), p(1) and p(2) for each of the following polynomialii p(x)3 |
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| 49. |
Q.1 Define binary operation. |
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Answer» Inmathematics, abinary operationordyadic operationis a calculation that combines two elements (calledoperands) to produce another element. More specifically, a binary operation on a set is a binary operation whose two domains and the codomain are the same set.is the best answer
= A system in which information can be expressed by combinations of the digits 0 and 1. please like my answer ☺☺☺😊😊😊😊☺☺☺😊😊 The binary number system consists of only two digits, i.e., Zero and one.since this system uses two digits it has the base 2. binary operation= contain two numbers=0, 1 In mathematics, a binary operation or dyadic operation is a calculation that combines two elements to produce another element. More formally, a binary operation is an operation of arity two. More specifically, a binary operation on a set is a binary operation whose two domains and the codomain are the sameset |
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| 50. |
find the common difference and write three more terms3,3+√2, 3+2√2,3+3√2 |
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Answer» Terms are in AP d = 3 + √2 - 3 = √2 So, next three terms are 3+4√2, 3 + 5√2, 3 + 6√2 |
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