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. |
5, 11 and respectively.13. Find the HCF of 85 and 153 and express it in the form 85x + 1534.14. If the HCF of 506 and 1155 is expressible in the form 506x + 1155 x (-7), findthe value of x. |
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Answer» According to Euclid's division lemmaa=bq+r, 0<=r<b85=51*1+3451=34*1+1734=17*2+017=[51-34*1]17=[51-{85-(51*1)}*1]17=[51-85*1+51*1]17=[51*2-85*1]17=[(-85*1)+51*2]17=85x+51yx = (-1), y = 2 |
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| 2. |
2Find the sum of the following series:34(i)++、/5 +19引而(upto 19 terms0 |
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Answer» thnxxxx |
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| 3. |
If cosec 0 = /10, then seco is equal to |
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Answer» ccccccccccccccccccccccccccccc cccccccccccccccccccc b jkkkkkkkkkkkkkkkkkkkkkki a aaaaaasaaaaaaaaaaaaaaaaaasssssas B Aaaaaaaaaaaaaaaaaaaaaaa answer of the question is option number- c Cccccccccccc"cccvvvvvvv c is answer because cosecQ is opposite of sacaQ this question is option number answer is -c Bbbbbbbbbbbbbbbbb (√10/3) b options is correct aaaaaaaaaaaaaaaaaaaa bbbbbbbbbbbbbbbbbbbbbbbbbbbbb By calculating the value of sec thita is eqaul to option B. so answer is B h²=p²+b²(√10)²=1²+b²b²=9b=3secA=√10/3 answer is 10√3 bro.thank,follow meplzzzzz option c is correct as sec = 1/cosec answer option c is the correct answer option cccccccccccccccccccccccccccccccccccccc cccccccccccccccccccccccccccccccccccccc BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB cosec¢= h/p= √10/1sec¢= h/b = √10/3 then correct answer is option B cccccccccccccccccccccccccccccccccc bbbbbbbbbbbbbbbbbbbb BBBBBBBBBBBBBBBBBBBBBBBBBBNN Bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb |
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| 4. |
17y - 3 = 48 |
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Answer» 17y-3=4817y=48-3y=45/17 17y -3=48 ,17y=48+3, 17y=51, y=51/17, y=3 17y=48+3y=51/17y=3 17y=48+317y=51y=51/17y=3 17y-3=48:- 17y-3=48 17y=48+3 17y=51 y=51/17 y=3 17y-3=4817y =48+317y =51y. =51/17y. =3 17y-3=4817y=48+317y=51y=51/17y=3 17y-3=4817y=51y=51/17 17y-3=48or 17y=48+3or 17y=51 y=51÷17 =3 17y-3=4817y=48+317y =51y. =51\17y. =3 17y-3=48 , 17y=48+3 ,17y=51 , y=51÷17 , y=3 17y-3=4817y=51y=51/17y=3 17y-3=48,17y=48+3=51,y=51/17=3 = y=3 17y=48+3then 17y=51now y=51/17and ans is 3y=3 17y-3=4817y=48+3y=51/17y=3 17y-3=48= 17y=48+3= 17y=51= y=51/17= y=3 ans... y=3 this is the write answer y=3 is correct answer 17y-3=4817y=48+317y=51y=51/17y=3 ans 17y-3=4817y=48+317y =51y=51/17y=3 17y —3=4817y=48+3y=51 /17y=3 17y -3 = 48 17y= 51 y=51/17so' y=3 17y-3=4817y. =48+317y. =51y. =51/17y. =3 Ans=3 17y=48+3=5117y=51y=3 17y-3=4817y=48+317y=51y=51/17 y=3 17y - 3 = 4817y = 48+317y = 51y = 51/17y = 3 17y-3=48,17y=48+3,17y=51,y=51÷17,y=3 17y=48-3y=41÷3y=17 17y-3=48...17y=48+317y=51y=51/17=3 so.... answer =3/1=3.. when we solve this we found answer is 3 17y-3=48 17y=48+3 17y=51y=51/17y=3 17y-3=48 , 17y=48+3 , 17y=51, y=51/17, y=3 17y-3=48; 17y=48+3; 17y=51; y=51/17 the value of y is 3 ,17y=48+3 ,17y = 51 , y=3 17y-3=4817y=48+3y=51÷17y=3 17y-3=48 17y=48+317y=51y=51/17y=3 17y - 3 =4817y=48+ 317y=51y=3 17-3=4817y=48+317y=51y=51/17y=3 17y=48+317y=51y=51/17=3 17y-3=48,17y=48+3,17y=51,y=51/17,y=3 17y=48+3y=51/17y=3 ans 17y - 3=48 +3 17y = 51 y = 51 ÷17 y = 3 y=3 is right answer of this question 17y=48+3y=51/17y=3 is correct answer 17y-3=48 17y=48+3 17y=51 y=51÷17 y=3 17y-3=4817y=48+317y=51y=51/17y=3is the best answer 17y-3+3=48+3, 17y=51,y=3 17y - 3 = 48 17y = 48+3 y. = 51/17 y. =. 3 17y-3=48:-17y=48+3:-17y=51:-y=51/17:-y=3 17y-3=48:- 17y-3=48 17y=48+3 17y=51 y=51/17 y=3 17y-3=48,17y=48+3,17y=51,y=51/17,y=3 17 ×3-3=48. So the value of y is 3 Answer is y=3 okay if you like my answer please like the button |
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| 5. |
Find the value of x + y, if 15x + 17y = 85 and 17x + 15y=75 |
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Answer» 15x + 17y = 85.....(1)17x + 15y = 75.....(2) Multiply eq(1) by 17 and eq(2) by 15 15*17x + 17*17y = 85*1717*15x + 15*15y = 75*15 Subtract these equations (17*17 - 15*15)x = 1445 - 1125(289 - 225)x = 32064x = 320x = 320/64 = 5 Put value of x = 5 in eq(1) 15*5 + 17y = 8517y = 85-75y = 10/17 X + Y = 5 + 10/17 = 95/17 |
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| 6. |
If 12x +17y= 48 and 17x + 12y= 68, then what is the value of x -y? |
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Answer» First Subtract Both the equations.17x + 12y =68-12x - 17y =-48___________5x -5y =205(x-y)=20x-y=20/5x-y=4 |
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| 7. |
lf l 2x + 17y = 48 and 17x+ 12y= 68, then what is the value of x-y? |
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| 8. |
age yo.2= qd = 82 and med 22=then find n=? |
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Answer» Solution 2^(x) = 4^(y) =8^(z)convert all base in same variablefrom this equation, we get 2^(x) = 2^(2x) = 2^(3x)y =x/2 and z=x/3put this value in second equation, we get 1/2x + 1/(4*x/2) + 1/(4*x/3)=4 1/2x + 1/2x + 3/4x = 4 by solving this we get, 7 = 16xx = 7/16 |
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| 9. |
in a hostel there is food provision for 200 students for 30 days . if 50 students left the hostel how long the provision lost for the remaining students. |
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Answer» Let the provision day to be last now xstudents at beginning 200and provision 30 daysbut 50 students left so obviously provision increase so its inverse variation.200×30=150×x6000=150xx=40 days |
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| 10. |
e salle ustalile in 3 hours?12. A garrison of 120 men has provision for 30 days. At the end of five days, five moremen joined them. How many days can they sustain on the remaining provision |
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Answer» There is provision for 120 men for 30 days After 5 days five men more joined, let for x more days they can sustain on provision Hence,120*30 = 120*5 + 125*x3600 = 600 + 125x125x = 3000x = 3000/125x = 24 Therefore for 24 more days they can sustain on provision |
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| 11. |
327. An athlete runs 200 metres race in 24 seconds. His speed is: (S.S.C. 2002)(a) 20 km/hr(b) 24 mn |
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| 12. |
3. A cheetah runs a distance of 200 metres in 10 seconds. What is the speed of the cheetah inD b. km/h? |
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| 13. |
Example 35. If the zeroes of the polynomial r 3x2 + x + 1 are (a - b), aMost Important] [CBSE 2010+b), then find 'a'and b |
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| 14. |
Example 6 Express the following in the form a + ib1-v2i(ii) i-35 |
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| 15. |
Example 6 Express the following in the form a + ib(i) 1-12i(ii) i-35 |
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Answer» hit like if you find it useful |
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| 16. |
11 ର ସଜ୍ଞା ନିରୂପଣ କର ।।ଯଦି 5x? + 17x+6= () ସମୀକରଣର ମୂଳଦୟ ୯ ଓ ୨ ହୁଏ ତେବେ ** B: ର ମୂଲ୍ୟ ନିରୂପଣ କର |
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Answer» please give me answers |
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| 17. |
15x 17y 2117x +15y 11 |
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Answer» 15x + 17y = 21........(1)17x + 15y = 11........(2) Multiply eq (1) by 17 and eq (2) by 15255x + 289y = 357255x + 225y = 165 Subtract eq(2) from eq(1)64y = 192y = 3 Put value of y in eq(1) 15x + 17*3 = 2115x = 21-5115x = - 30x = - 2 X=-2, Y = 3 |
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| 18. |
U CUL JUL. I'MCUI2. A rectangular ground is 90 m long and 32 m broad. In the middle ofthe ground there is a circular tank of radius 14 metres. Find thecost of turfing the remaining portion at the rate of 50 persquare metre. |
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| 19. |
- एक नगर में टैक्सी के भाड़े में एक नियत भाड़े के अतिरिक्त चली गई दूरी पर भाड़ा।सम्मिलित किया जाता है। 10 km दूरी के लिए भाड़ा के 105 है तथा 15 km के लिएभाड़ा में 155 है। नियत भाड़ा तथा प्रति km भाड़ा क्या है? एक व्यक्ति को| 25 km यात्रा करने के लिए कितना भाड़ा देना होगा? |
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| 20. |
Example 6 Express the following in the form a + ib(i)(ii) i-3511) 11-2i |
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Answer» hit like if you find it useful |
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| 21. |
WUNDExample 1: The base of a right triangle is 35 cmand its altitude is cm. Find the area of the triangle. |
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Answer» tell me the answer Area= 1/2 × base × altitudeSo, area of given ∆ is:- 1/2 × 7/2 × 4/7=> 1... Given,Base=7/2Altitude=4/7Therefore, area of the triangle=1/2×7/2×4/7 =2/2 =1 |
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| 22. |
MATHEMATICPA(vi Thètaxi charges in a city cónsšist of a fixed chargo-togetheravith ihs 1o5 and for a ofthe charge for thedistance covered. Fori a distance of 10 km, the charge paidlajourney of 15 km, the charge paid is Rs 155. What areeharge per km? How much does a person have to pay for tr velling a25 km?togetherwith0or andthe denominator |
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Answer» Letthe fixed chargefor taxi= Rs x Andvariable cost per Km= Rs y Total cost= fixed charge + variable charge Given that for a distance of 10 km, the charge paid is Rs 105 x + 10 y= 105… (1) x= 105 – 10 y Given that for a journey of 15 km, the charge paid is Rs 155 x + 15 y= 155 Plug the value of x we get 105 – 10 y + 15 y= 155 5y= 155 – 105 5y= 50 Divide by 5we get y= 50 / 5= 10 Plug this value in equation (1) we get x= 105 – 10 * 10 x= 5 People have to pay for traveling a distance of 25 km = x + 25 y = 5 + 25*10 = 5 + 250 =255 Answer pay for 25 Km is Rs 255 |
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| 23. |
44428+6273 |
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| 24. |
Two trains, one travelling 15 km/hr faster than the other, leave the same station at thesame time, one travelling east and the other west. At the end of 6 hours they are570 km apart. What are the speeds of each train?LINEAR COLLATIONS155 |
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Answer» Speed of slower train=xSpeed of faster train = x + 156{x +(x+15)}=570 speed units km/h 6 is hours, so distance will be km.divide by 6 and collect terms(2x+15)=95subtract 15 from both sides2x=80divide by 2x=40 km/h (slower)x+15= 55 km/h (faster)6 hoursslower train 6*40=240 kmfaster train 5+55=330Total is sum, or 570. |
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| 25. |
What is the SI system of unIS!Tanl-A car travels a distance of 270 kilometres in 412 hours. Find its speedhsstah runs a distance of 200 metres in 10 seconds. What is the speed of the cheta |
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| 26. |
Ariver 3 m deep and 40 m wide is flowing at the rate of 2 km per hourwill fall into the sea in a minute?9. |
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| 27. |
84-7[-11 x-4\{-17 x+3(8-9+5 x)\}] |
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| 28. |
How will you show that (17x 11 x 2)+ (17 x 11 x 5) is a composite inExplain |
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Answer» (17×11×2) + (17×11×5) = (17×11)(2+5) =(17×11×7) is the number. So, the number is divisible by 17, 11 and 7, and thus, obviously, it's composite. |
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| 29. |
r1,11-2:3:5, then x:y:z-?30.x y za) 2:3:5b) 15:10:6c) 5:3:2d) 6:10:15 |
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| 30. |
Find the value of84-7[-11 x-4\{-17 x+3(8-9-5 x)]] |
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| 31. |
\frac { ( 2 x + 3 ) - ( 5 x - 2 ) } { 6 x + 11 } = \frac { 2 } { 17 } |
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| 32. |
3 ( 5 x - 7 ) - 2 ( 9 x - 11 ) = 4 ( 8 x - 13 ) - 17 |
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Answer» thanks |
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| 33. |
43. If α, β are the roots of x2 + pr +1roots of x 0, then0 and γ, δ areCl-(a) p2-q1(d) none of these. |
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| 34. |
6172 7 6273 % ;The value of pr=1 % P 18 |
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| 35. |
7] Using the properties of determinant, prove thatp +pq prpr qr r2 +1Or |
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Answer» this is not my answer |
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| 36. |
3. 73 km 155 m + 24 km 19 m + 31 km 90 m |
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Answer» 73 km 155 m + 24 km 19 m + 31 km 90 m= ( 73 + 24 + 31) km (155 + 19 + 90) m= 128 km 264 m PLEASE HIT THE LIKE BUTTON |
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| 37. |
2. An athlete runs 200 metres race in 24 seconds. His speed is:(b) 24 km /hr(S.s.C. 2002)(a) 20 km /hr(c 28.5 kn /hr |
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Answer» u r rt |
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| 38. |
Consider the adjoining figure. PQR is an isosceles triangle inwhich PQ = PR. PQ is produced to S and PR is produced to T suchthat QS = RT. Prove that QT = SRT. |
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| 39. |
(1) The mean the mars. Secured by 25 students Sectori Ain 41that of 95 Studer Section 51 and ThatStudeman 6 Secrom c L 53. Find the combined means4 Students of three section of cb ..class30the |
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Answer» ection A: Number of students = 25 Mean marks = 47 We know that,Sum of observations = Mean × Number of observations ∴ Sum of marks obtained by students of section A = 47 ×25= 1175 Section B: Number of students = 35 Mean marks = 51 ∴ Sum of marks obtained by students of section B = 51 ×35 = 1785 Section C: Number of students = 30 Mean marks = 53 ∴ Sum of marks obtained by students of section C = 53 ×30 = 1590 Now, sum of marks obtained by all students of three sections = Sum of marks obtained by students of section A + Sum of marks obtained by studes of section B + Sum of marks obtained by students of section C = 1175 + 1785 + 1590 = 4550 Total number of students = 25 + 35 + 30 = 90 Mean marks scored by 90 students =sum of marks scored by 90students ÷90 =4550/90 =50.6(approx) |
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| 40. |
11. In the given figure, sides AD and ABof cyclic quadrilateral ABCD areproduced to E and F respectively.If <CBF = 130° and LCDE = n", find thevalue of x. |
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| 41. |
AD is a medianand E is the mid point of AD. IF BE is producel to meet ACisAFACOR |
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Answer» Given:AD is the median of triangle ABC. E is the mid point of AD.BE produced meet ad at F. to prove:AF=1/3AC. Construction:From point D draw DG parallel to BF. Proof: so by Convere of mid point theorum we get F as the mid point of AG⇒AF=AG(1) similarly we have G as the mid point of CF⇒FG=GC(2) from 1 and 2 we get AF=FG=GC (3) now AF + FG + GC =AC From (3) we getAF+AF+AF=AC 3(AF)=AC AF=1/3AC Like my answer if you find it useful! |
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| 42. |
guror Is bler diagonal.11. In the adjacent figure, PQ | | SR and PS-PR, find α and β30° |
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| 43. |
PQRS is a trapezium with PQ SR. Diagonals PR and SQ intersect at M. ΔΡ MS-aQMR. Prove thatPS QR |
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Answer» Given ΔPMS andΔQMR are similar. So the ratios of corresponding sides are: PM/ MR = QM / MS = PS/ QR We have thatAr(ΔPSR) = Ar(ΔQSR) , as the altitude and base are equal. Hence Ar(ΔPMS+ΔMSR) = Ar(ΔQMR +ΔMSR)Hence Ar(ΔPMS ) = Ar(ΔQMR) The ratio ofareas of similar triangles = square of ratio of corresponding sides. If the areas of similar triangles are equal, it means the correspondingsides are equal. Hence, PS = QR |
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| 44. |
15 cm8. In Fig. 15.6, PQ and SR are parallel sides of a trapezium PQRSand ZPSR = 90°. Given that PQ = 15 cm, SR = 40 cm and thediagonal PR-41 cm, calculate the area of the trapezium.41 cm40 emFig 15.5 |
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Answer» Length of parallel sides=15 cm and 40 cmTo find height...by Pythagoras theorem..c^2= a^2 + b^241^2= a^2 + 40^21681-1600= a^281=a^2a=9so, the height of the trapezium is 9cm.Area of trapezium= 1/2 *h*(a+b)=1/2*9*(15+40)=4.5*55=247.5cm^2 7rdttidtigiitxugyixytxtcuvhv |
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| 45. |
कि by A2 B2t g <22, Frod fhe: |
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| 46. |
5.In ÎABC, it is given that DEBC. IfAD = 3 cm, DB = 2 cm and DE = 6 cm, then find BC. I |
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Answer» Given: ABC is a triangle , DE parallel BC and AD= 3 cm, DB=2 cm and DE=6 cm To find: AE sol: Since DE parallel BC angle ADE= angle ABC (corresponding angles) and angle AED = angle ACB Triangle ADE ≈ triangle ABC ( by AA similarity) therefore , AD/AB=DE/BC=AE/AC (1) From (1) AD/AB=AE/AC 2/5=x/18 2×18=5x 36=5x x=36/5 x=7.5cm ∵ AE = 7.5 cm |
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| 47. |
Fhe value of (256)0.16 x (256)009 |
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Answer» Thanks |
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| 48. |
にplice10. A dealer sold to TV for4000 each, neither losing nor gaining in the deal. If he sold one TV at again of 25%, find the loss/gain percent in other. |
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Answer» C.P. of two TV = Rs. 8000 S.P. of tv horse = Rs. 4000 Gain = 25% ∴ C.P. of this tv = Rs (100/125) x 4000 = Rs.3200 C.P. of another tv = Rs. (8000 - 3200) = Rs. 4800 S.P. of this tv = Rs. 4000∴ Loss% = (800/4800) x 100 % = 162/3% |
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| 49. |
Sa4.4. In a triangle ABC, right-angled at B, AB =2 cm. Apoint D lies on BC such that BD =1 cm andAD = BC. Find AC. |
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Answer» AC= 3cm is the correct answer |
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| 50. |
llepriceof10. A dealer sold to TV forて4000 each, neither losing nor gaining in the deal. If he sold one TV at again of 25%, find the loss/gain percent in other |
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Answer» C.P.=2*4000=8000now he sold one with 25% gain so S.P. of that TV is 5000so S.P. of another TV must be 3000so that will be loseso lose percentage is 1000/4000*100=25% |
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