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. |
implify and write in exponential form.0 (-2)-3x (-2) 4 (i) p3xp-10 |
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| 2. |
is an equivalcic Tum10. Give an example of a relation. Which is(1) Symmetric but neither reflexive nor transitive.(i) Transitive but neither reflexive nor symmetric.(ii) Reflexive and symmetric but not transitive.(iv) Reflexive and transitive but not symmetric.(V) Symmetric and transitive but not reflexive. |
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| 3. |
10. Give an example of a relation. Which isi) Symmetric but neither reflexive nor transitivea) Transitive but neither reflesive nor symmetrici) Reflexive and symmetric but not transitiveov) Reflexive and transitive but not symmetric(v) Symmetric and transitive but not reflexive |
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| 4. |
dd. Give an example of therelation which isO symmetric but neithero repleseive nor francatiur.Net Transative neitherreflexive nor symmetricReflexive and Symmetrie butnot transative,Reflexive and transative butnot symmetric8 gm metric and transativebut not Reflexive,s |
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Answer» you try magic anyone click on like button the magic any sound listening touch like button try |
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| 5. |
4/3/ 2Simplifyand express the result in the exponential form of x |
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| 6. |
'समद्विबाहु त्रिभुज है, जिसमें बराबर भुजाओं 402 और 48 परआकृति) । दर्शाइए कि ये शीर्षलम्ब बराबर हैं। |
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| 7. |
Q2B Solve.(1) Write the following equations in the form ax + bx + c = 0.(1) 2x = 5x - 6 (2) x(x + 2) = 5 |
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Answer» 1. 2x² - 5x + 6 = 02. x² + 2x - 5 =0 1) ax2+bc+c se compare karne pr...a=2 , b=-5 , & c=6 2) a=1 , b=2 & c=-5 1)2x^2=5x-62x^2+(-5)x +6=0here a=2,b= -5,c=62)x(x+2)=5x^2+2x+(-5)=0here a=1,b=2,c= -5 (1). 2x^2 + (-5x) + 6 = 0(2). x^2 + 2x + (-5) = 0 2x²=5x-6 2x²-5x+6=0 a=2,b=-5,c=6 2x²=5x-6 2x²-5x+6=0 a=2,b=-5,c=6. a=1,b=2,c=-5 is the best answer (1) 2x-5x+6=0 (2) x-2x-5=0 1... 2x²-5x+6=02..x²+2x-5=0 1. 2x²-5x+6=02. x²+2x-5=0 1. 2x^2-5x+6=02. x^2+2x-5=0 (1) equation in the form of a x^2 + bx + c = 0 a=2 'b=-5 c=6 is the correct answer ha 1st question=o&2nd question =0 (i)2x^-5x=6 (ii)x^+2x=5 (i) 2x^-5x=6. (ii)x^+2x=5 1)a=2,b=-5,c=61)a=1,b=2,c=-5Bro just compare it you will get the answer shree sridharacharya vidhi lagegi (1)2x^2-5x+6=0(2)x^2+2x-5=0 1) 2x*2 - 5x + 6 =0 (2). X*2 + 2x -5 = 0 a=1,b=2, c=-5 the correct answer 1. 2x²- 5x+6=02. x²+2x-5=0 is right answer |
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| 8. |
6.What is the last digit of 67T0 |
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Answer» The power of 6 any index repetition 6 i.e, (6)^any power ----- the last digit is 6 only. Example:i) 6^1 = 6 ii) 6 ^2 = 36 iii)6*^3 = 216. ..the last digit in the expansion of 6 ^100 is 6 |
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| 9. |
in what is the last digit of 5100 |
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Answer» the last digit of this question's answer is 0 the last digit is 0 is the right answer the last digit is the 0 0 is the right answer to your question the last digit number is 0 |
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| 10. |
Use Euclid's division lemma to show that the cube of any positive integers is of the form 9m, 9mt1, or 9m+s |
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Answer» Let a be any positive integer and b = 3 a = 3q + r, where q ≥ 0 and 0 ≤ r < 3 ∴ r = 0,1,2 . Therefore, every number can be represented as these three forms. There are three cases. Case 1: When a = 3q, Where m is an integer such that m = Case 2: When a = 3q + 1, a = (3q +1) ³ a = 27q ³+ 27q ² + 9q + 1 a = 9(3q ³ + 3q ² + q) + 1 a = 9m + 1 [ Where m = 3q³ + 3q² + q ) . Case 3: When a = 3q + 2, a = (3q +2) ³ a = 27q³ + 54q² + 36q + 8 a = 9(3q³ + 6q² + 4q) + 8 a = 9m + 8 Where m is an integer such that m = (3q³ + 6q² + 4q) Therefore, the cube of any positive integer is of the form 9m, 9m + 1, or 9m + 8. Hence, it is proved . Like my answer if you find it useful! |
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| 11. |
। यदि बिंदुएँ M और N के निर्देशांक क्रमशः (p-3, 11) और (6, 3) हों तो सिद्ध कीजिए|कि p = 24 अथवा -6, जबकि MN = 17 इकाइयाँ। |
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Answer» iska answer ya solution to tere book me hi diya hoga or bhai agar rewiew aaya to 5 star de dena meko |
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| 12. |
isThe sign of the product of two -ve integers(C) C |
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Answer» As both integers are negative sign of their products will be + ve |
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| 13. |
o ५. T N S¥ 9T § I wrhont 3 gaer sgagn LMNp थि“LP +MN P ८ N |
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| 14. |
5. What is the last digit of 72015?(B) 3,(C) 7,(D) 9. |
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Answer» Let us take a look at the last digit of the first powers of 7. 7^1=771=7-> 7 7^2=49-> 9 7^3=343-> 3 7^4=2401-> 1 7^5=16807-> 7so unit digit will be 7 as 7^5 unit digit is 7 so 7^15 is the multiple of 5 hence it will have same value |
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| 15. |
2. The last digit of 33114 1, isa) ob) 4c) 8d) 2 |
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| 16. |
> a-l, fora, b e A. is the definition for(a, be R and (b. a) eRl) Identify2) Reflexive3) Symmetric4) Anti-Symmetric |
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Answer» the given symetric relation |
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| 17. |
(iii)12 ÷ (-3) == 85(ix)× (-8) × 3 =-48 |
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| 18. |
EXERCISE 1.1Use Euclid's division algorithm to find the H(i)135 and 225(ii)1 96 and 38220 |
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Answer» not good explanation |
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| 19. |
(iii) 12 ÷ (-3) = ..(vi)-85(ix) × (-8) × 3 =-48ー85 |
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| 20. |
402 |
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Answer» 40° , opposite side makes equal angle opposite to it. according to the property, angles opposite to equal sided are equal. value of x would also be 40° |
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| 21. |
5, 41, 149, 329, ?(a) 581(c) 501(b) 831(d) 402 |
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Answer» 581,as 5+6*6 ,5+12*12,5+18*18,5+24*24 5+6*6,5+12*12,5+18*18,5+24*24 |
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| 22. |
2. The last digit of 33 +1, is4ka) 0b) 4c) 8d) 2 |
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| 23. |
Q.5Express y=-3x in the form of ax + by + c = 0. |
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Answer» y = - 3x In the form of ax + by + c = 0can be written as 3x + y = 0 Here, a = 3, b = 1, c = 0 |
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| 24. |
1 Which of the following figures lie on the same base and between thesamne parallels. In such a case, write the common base and the twoparallels. |
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| 25. |
EXERCISE-13.1Which of the following figures lie on the same base and between the same parallels?In such a case, write the common base and the two parallels1. |
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Answer» no.... this is not question |
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| 26. |
ХУExpress the equation + 6-1 in the form of ax + by +c=0and indicate the values of a, b, and 'c |
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| 27. |
Which of the following figures lie on the same base and between the same parallels.such a case, write the common base and the two perallelsC/ DSDcR(IViv)tvi)Fig.9.8 |
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| 28. |
EXERCISE. 9.1Which of the following figures lie on the same base and between dieparallels. In such a case, write the common base and the two paraOAPBMNR&(1) CSBPACS DCR0(v)(iv)Between the same Parallelswo parallelograms |
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| 29. |
Which of the following figures lie on the same base and between the same parallels.In such a case, write the common base and the two parallels.1P BMN(iii)B AB P A B QC DCS D C R(iv)(vi)Fig. 9.8 |
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| 30. |
Rewrite the equation in Ax + By C form.Use integers for A, B, and C. |
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Answer» Form Ax + By = C Given : y - 4 = -6( x - 3) y - 4 = -6x + 18 6x + y = 22 |
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| 31. |
Write each of following in the form ax + by +c = 0, and indicate the values of a, b, cin each case(a) $\frac{x}{2}-\frac{y}{3}=5 \quad$ (b) $2 y-3=\sqrt{2} x$ |
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Answer» Form ax+by+c = 0 a) x/2 - y/3 = 5Multiply by 66(x/2 - y/3) = 153x - 2y - 15 = 0a = 3b = -2c = -15 b) √2x -2y + 3 = 0a = √2b = -2c = 3 |
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| 32. |
lt. lasts-or-2 ha u z s .40 minuteshihen l the film end |
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Answer» Starts at 9: 30 PMEnds at = 9: 30 + 2: 40 = 12: 10 a. m. tq Sir start 9:30pmend 9:30+2:40 = 12: 10 am |
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| 33. |
29. The value of 335; when b- 7is |
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| 34. |
The value of (S+7)x 7is(a) 84(c) 8(b) 36(d) 35 |
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Answer» option C is the correct option thanks |
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| 35. |
357on of Fractions :e value of12 3 8 |
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| 36. |
9. Use H.C.F. to show that 357 and 1625 are co-primes. |
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| 37. |
10. If f(x) 4z3 3z2 +3z +4 then z.f()r -A) f(-z)B)f(E)D) f() |
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Answer» f(1/x) = 4(1/x³) + 3(1/x²) +3(1/x) +4 x³.f(1/x) = 4 + 3x+3x²+4x³ = f(x) option D |
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| 38. |
8In the given figure, if / || n, find the value of357CO402 |
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Answer» X+35+40= 360X = 360-75X= 285 x+35+40=360x=360-75x=285 |
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| 39. |
The last digit in the expansion of } ( 357 ) ^ { 2010 } is (A) 7 (B) 9 (C) 3 D) 1 |
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| 40. |
9- Prove.trails theorem. thails |
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Answer» ProofonThales theorem: If a line is drawn parallel to one side of a triangle and it intersects the other two sides at two distinct points then it divides the two sides in the same ratio. Basic Proportionality Theorem (Thales theorem): If a line is drawn parallel to one side of a triangle intersecting other two sides, then it divides the two sides in the same ratio. In ∆ABC , if DE || BC and intersects AB in D and AC in E then AD AE ---- = ------ DB EC Proof on Thales theorem : If a line is drawn parallel to one side of a triangle and it intersects the other two sides at two distinct points then it divides the two sides in the same ratio. Given :In ∆ABC , DE || BC and intersects AB in D and AC in E. Prove that :AD / DB = AE / EC Construction :Join BC,CD and draw EF ┴ BA and DG ┴ CA. |
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| 41. |
प्रश्न 7. फलों की आयताकार क्यारी का परिमाप76 मीटर तथा क्षेत्रफल 357 वर्गमीटर है। क्यारी कीलम्बाई तथा चौड़ाई ज्ञात कीजिए। |
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Answer» परिमाप = 2(l+b) = 76 l+b = 38 क्षेत्रफल = l*b = 357 l(38-l) = 357 38l - l*l = 357 l*l - 38l + 357 = 0 (l-21)(l-17) = 0 l = 21 b=17 l = 17 b = 21 |
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| 42. |
3The price of 357 mangoes is 1517.25. Whatwill be the appropriate price of 49 dozens ofsuch mangoes? |
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| 43. |
N i o . ;-»A‘#iv»"i"“/ 7BN 7 g dauans. |
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Answer» 40 is not a perfect square.So the nearest perfect sqaure is 49, adding 9 makes it whole square. |
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| 44. |
Which of the following figures lie on the same base and betnesen the same parallels?In such a case, write the common base and the two parallelsPl |
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Answer» no gud answer |
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| 45. |
1) Write each of the following equations in the form ax + by + c = 0 and indicate the values of ab and c in each case:(1) 2x + 3y = 4.37X-4 = 344 = 5x-3y(iv) 2x=y |
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Answer» a=5,b=-3,c=-4 is the right answer |
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| 46. |
4. Simplify and write in exponential form:i) 2-415-3 4625(i) (81JHEHE)252 x 10-4 |
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Answer» tnx |
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| 47. |
2.At the end of 1 year on1,800 at 8% per annum compounded quarterly. |
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| 48. |
If A = diag[ a,b,c,], then prove that An-dagi an, bn, c",], for all n E N. |
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| 49. |
an+1 + bn+1 .For what value of n,is an A.M of"a' and 'b". |
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Answer» Arithmetic mean of a and b is=[a+b]/2thus[a+b]/2=[a^n+1+b ^n+1]/a^n+b^n[a+b]/2=a^n*a+b^n*b/a^n+b^n (ax+y=ax*ay)Then by cross multiplication we geta^na+a^nb+b^na+b^nb=2a^na+2b^nba^nb+b^na=a^na+b^nba^nb-a^na=b^nb-b^naa^n(b-a)=b^n(b-a)a^n=b^na and b can only be = if n=0 (x^n=1)thus n=0 this ^ symbol means |
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| 50. |
At the end of 1 year on Rs. 1800 at 8% per annum compounded quarterly. |
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