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. |
11. Find the smallest number by which 8,820 should be dívided to makeit a perfect square. Find the square root of the perfect sqobtained.uare so |
| Answer» | |
| 2. |
facto use1 |
| Answer» | |
| 3. |
1. Find Ahecube root of the following numbers using prime factorizatio(a)/91125 (b) 531441 (c) 250047 (d) 551368 |
| Answer» | |
| 4. |
11. Find the smallest number by which 8,820 should be divided to makeit a perfect square. Find the square root of the perfect square soobtained. |
| Answer» | |
| 5. |
Find the smallest number by which 235445 must be divided so that it becomes aperfect square. Also, find the square root of the perfect square so obtained. |
|
Answer» Prime factorization of 235445 is 7 * 7 * 31 * 31 * 5 Since the prime factor 5 does not occur in a pair, so 235445 is not a perfect square. In order to make it a perfect square, it must be divided by 5. So, 235445/5 = 47089 Square root of 47089 = 217 * 217= 217 |
|
| 6. |
Check whether-150 is a term of the AP 11,8, 5,2 |
| Answer» | |
| 7. |
Check whether-150 is a term of the AP: 11,8, 5,2 |
| Answer» | |
| 8. |
Find the smallest number by which 180 must bemultiplied so that it becomes a perfect square. Also,find the square root of the perfect square so obtained. |
|
Answer» It should be multiplied by 5 Is my answer right ? |
|
| 9. |
Find the smallest number by which 1100 must be multiplied so that the productbecomesobtained.a perfect square. Also, find the square root of the perfect square so |
|
Answer» Factors of 1100 are, 1100=5*5*2*2*11 Since, 11 does not forms a pair therefore 11 should be multiplied to 1100 to make it a perfect square. 1100*11=12100 Now, 12100=5*5*2*2*11*11 √12100=5*2*11 √ 12100=110 |
|
| 10. |
120909556736177 Find the smallest number by which 252 must be multiplied to get a perfect square. Also find thesquare root of the perfect square so obtained. |
| Answer» | |
| 11. |
Complete the prime factorisation tree.= (2) Ă (48 |
| Answer» | |
| 12. |
AOx. 40° C |
|
Answer» x=90°y=50°z=50°these are the answers x=90y=45 z=44:is the best answer |
|
| 13. |
oxFinel the Damein Ro |
| Answer» | |
| 14. |
Express 11025 as the product of prime factor |
| Answer» | |
| 15. |
के. ox—2. 32¢=8 255 NI |
|
Answer» Laws of indicesa^m*a^n=a^m+na^m/a^n=a^m-nhence2^x/2^2*3^2x/3^6=36now2^x/4*9^x/3^6=362^x*9^x=36*4*3^618^x=104976now 18^4=104976hencex=4 |
|
| 16. |
(a) 2433. Find the cube root of the following numbers using prime facto(b) 4913(a) 2744using prime factorisation :(c) 91125 |
| Answer» | |
| 17. |
The forcmola ox tan-26 |
|
Answer» tan2theta= 2 tan theta/ 1-tan^2 thetathis is the formula |
|
| 18. |
1. Check whether the following are quadratic equations:2xi(x+1)2 = 2(x-3)(x- 3) |
| Answer» | |
| 19. |
2. Find the smallest number by which 1100 must be multiplied so that the productbecomes a perfect square. Also, find the square root of the perfect square soobtained. |
|
Answer» 1100×11=12100110 is the square root of 12100. |
|
| 20. |
Check whether- 150 is a term of the AP: 11,8,5,2... |
|
Answer» a = 11 d = 8 - 11 = -3 suppose -150 is nth term of AP -150 = a+(n-1)d -150 = 11 + (n-1)(-3) -161 = (n-1)(-3) so n-1=161/3 so n = 164/3 which is not possible so -150 is not a term. |
|
| 21. |
Check whether 150 is a term of the AP 11.8. 5.2 |
| Answer» | |
| 22. |
2325 + 142x 120 का गुणनखंडन कीजिए) |
| Answer» | |
| 23. |
2.Find the smallest number by which 1100 must be multiplied so that thebecomes a perfect square. Also, find the square root of the perfect someobtained. |
|
Answer» The no. is 11.1100×11=12100 which is a perfect square.sq. root of 12100 is 110. |
|
| 24. |
2.Stag aFind the smallest number by which 1100 must be multiplied so that the prodbecomes a perfect square. Also, find the square root of the perfect squaeobtained. |
|
Answer» sir that no. is not,180 it's 1100 We have to find a no. by which 1100 must be multiplied so the product obtained is a perfect square.that no. is 11let's see:-1100×11=12100.√12100 is 110. |
|
| 25. |
24. Factorise:x323x2+142x 120 |
| Answer» | |
| 26. |
\operatorname { sin } ^ { 2 } 126 ^ { \circ } - \operatorname { sin } ^ { 2 } 60 ^ { \circ } |
|
Answer» 1 2 3 |
|
| 27. |
-154*x^2 %2B 4*x^2 %2B 126=0 |
|
Answer» Use quadratic formula with a=4, b=-154, c=126. x=−b±√b2−4ac/2a x=−(−154)±√(−154)2−4(4)(126)/2(4) x=154±√21700/8 x=774+54√217orx=774+−54√217 |
|
| 28. |
के अर फिके न क न |
|
Answer» Applying BODMAS= 40+20-3060-3030 |
|
| 29. |
का. Product ०1 the zeros of 442 8u iकैप + 80 व '[नाएकंश्िव भूवनकन इन |
|
Answer» 4u(u+2)u= 0u+2= 0u= -2product = (-2)*(0)= 0 |
|
| 30. |
Find the square root g each.the following members by using themethod of prime facto usation11025 |
| Answer» | |
| 31. |
32क -॥-२०बालन न न भ24 257ठाघ का न०'अरे तो चारो तो& ।५॥** |
|
Answer» 15000 |
|
| 32. |
19. Mohit, standing in the midst of a field, observes a flying bird in his north at an angleolevation of 30° and after 2 minutes he observes the bird inof 609. If the bird flies in a straight line all along at a height of 50 3 metres, let us find itsspeed in kilometre per hourevationhis south at an angle of el |
|
Answer» tan30=50√3/x 1/√3=50√3/x 150=x √3=50√3/y y=50 total distance covered =x+y=200m .2km time=2/60hr speed=6km/hr |
|
| 33. |
6. Check whether - 150 is a term of the AP: 11,8,5,2 |
|
Answer» Here, a = 11 d = 8 - 11 = - 3 Let - 150 be the nth term of the given A.P. We know that, an = a + (n - 1)d ⇒ - 150 = 11 + (n - 1) - 3 ⇒ - 150 = 11 - 3n + 3 ⇒ (- 150) + (- 14) = - 3n ⇒ - 3n = - 164 ⇒ 3n = 164 ⇒ n = 164/3 So, it is clear that n is not an integer. Therefore, - 150 is not a term of the given A.P. |
|
| 34. |
icnCiS6Check whether- 150 is a term of the AP: |
|
Answer» For an AP 11, 8, 5, 2.... First term a = 11, Common difference d = 8-11 = - 3 Ley - 150 is nth term of an APThen,-150 = a + (n-1)d-150 = 11 + (n-1)*(-3)-161 = - 3n + 3n = 164/3n = 5.43 If - 150 is term of an AP then value of n should be positive integer. Which is not true in this case. Hence, - 150 is not a term of an AP |
|
| 35. |
6 Check whether 150 is a term of the AP: 11, 8, 5,2. |
|
Answer» Thanks |
|
| 36. |
6. Check whether- 150 is a term of the AP: 11, 8,5,2..the 16th term is 73 |
| Answer» | |
| 37. |
DateUnit 6: Squares, Cubes and RootsHWSH - 4A1. Find the least number by which 180 should bemultiplied to make it a perfect square1234562. Find the least number by which 1200 must be divided tomake it a perfect square. |
|
Answer» hxhdhddhdhdhsxhshshsshshshsjssjsjjzsjksizoxoxxoxoxo bdndjdjxjdxhxjhshshdxgdgehdhxhxhss 1200 = 2*2*2*2*3*5*5 since only 3 is not in pair.hence 3 is the required number by which 1200 should be decided to make it perfect square .. 1200/3 = 400 A perfect square for 2nd question answer is 3....as if it divided by 3 then 400 is quotient.. which is a perfect square of 20 1200/2=600/2=300/2=150/3=50/5=10/5=2 1200/2=600/2=300/2=150/3=50/5=10/5=2 |
|
| 38. |
sec 4A cosec (A - 20°), where 4A is an acute angle, find the value |
| Answer» | |
| 39. |
Two people are standing on the same side of a building at a distance of 20 m apart one behindc other. They observe an angle of deviations of the top as 30° and 45°. Find the height otbuilding. |
| Answer» | |
| 40. |
2. 42 + 92 + 1622 + 12xy — 2yz ~ 1625 -4 waua पायेव “ले 2y |
| Answer» | |
| 41. |
2 Factorise -2 142x 126 |
| Answer» | |
| 42. |
2Factorise : 2x -7x-15 |
| Answer» | |
| 43. |
5. FactoriseOX-2-2 |
|
Answer» we will have no time x^3 - 2x^2 - x + 2= x^3 - x^2 - x^2 + x - 2x + 2= x^2(x - 1) - x(x - 1) - 2(x - 1)= (x - 1)(x^2 - x - 2)= (x - 1)(x^2 - 2x + x - 2)= (x - 1)(x(x - 2) + 1(x - 2))= (x - 1)(x + 1)(x - 2) |
|
| 44. |
(x+1)^2-(y-1)^2.factorise it |
|
Answer» Please post complete question by image for easyness |
|
| 45. |
Factorisex^{3}-2 x^{2}-x+(2) |
|
Answer» How can we take common in this question plz answer |
|
| 46. |
Factorise: \sqrt{2} x^{2}+3 x+\sqrt{2} |
| Answer» | |
| 47. |
अभ्यास 5(d)1. निम्नांकित व्यंजकों में (a-2ab + b)प्रकार के व्यंजकों को छाँटिए(i) 81 -72ab +16b(ii) 16b-20by + 25y(ii) 25x -10xy +9(iv) - 30xy + 9y2. निम्नांकित के गुणनखंड कीजिए।(i) 4x-12xy + 9y(ii) 9x-6x +1(ii) 25x-60x + 36(iv) 49x-56x + 16(v) -12xy + 360 |
| Answer» | |
| 48. |
A boy observes that the angle of elevation of a bird flying at a distance of 100 m is 30°. At some distancfrom the boy, a girl finds the angle of elevation of the same bird from a building 20 m high is 45 . Finthe distance of the bird from the girl. |
|
Answer» please like my answer if you find it useful |
|
| 49. |
A boy observes that the angle of elevation of a bird flying at a distance of 100 m is 30°. At some distancefrom the boy, a girl finds the angle of elevation of the same bird from a building 20 m high is 45e. Findthe distance of the bird from the girl. |
|
Answer» thanqs |
|
| 50. |
-19x/2-3/2=-27/5-23x/2 |
|
Answer» -1.95 is the best answer -1.95 correct answer for this question x= -1.95 is the correct answer of the given question -1.95 is the correct answer -1.95 is correct answer -1.95 is the right answer -1.95is the correct answer -1.95 is correct answer. |
|