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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. |
The distance of the point (x, y, z) from the XYplane is |
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| 2. |
Draw a line segment XY = 7 cm. Take a point A outside XY Draw a line parallel to XY and passingthrough A. Find the distance between the parallel lines. |
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| 3. |
51. Find the angle between the planes 2x-3y+ 6z 9 and xy- plane. |
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Answer» 1 2 |
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| 4. |
Example 30 Find the coordinates of the point where the line through the pointsA (3.4.1) and B(5, 1, 6) crosses the XY-plane. |
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| 5. |
In the figure given below, ABC is anequilateral triangle with each side of length30 cm. XY is parallel to BC, XP is parallel toAC and YQ is parallel to AB. If XY XP YQis 40 cm, then the value of PQ is9. |
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| 6. |
all safety rules of the road for all |
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Answer» Know Your Signals. Stop, Look, And Cross. Pay Attention – Listen Don't Run OnRoads.. Always Use Sidewalks. Crossroads and Pedestrian Crossing. Never Stick Hands Outside The Vehicle. Never CrossRoadAt Bends. |
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| 7. |
22.Solve the pair of linear equations 7x-8y-1 1-0 and 8-7y-7-0. |
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| 8. |
following pairs of linear equations:5x-4y+8= 07x+6y-9= 0 |
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| 9. |
Solve the following pair of linear equations by substitution method.7x -15y 2 |
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Answer» Like if you find it useful |
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| 10. |
1Q. Find whether the following pair of linear equations has a uniqsolution. If yes, find the solution:7x-4y-495x-6y=57 |
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| 11. |
Q2. Solve the following linear equations() 2x+15=27i 7x=20-3x(iii) 3x+4=7 (x-2)(iv) 2x+3=16-(2x-3) |
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Answer» 1)2x=27-152x=12x=62)7x+3x=2010x=20x=2is the correct answer 7x+3x = 2010x = 20x = 2 1) 62)2is the right answer 1)2x + 15=27 2x=27-15 2x=12 X=63)3x+4=7(x-2) 3x+4=7x-14 14+4=7x-3x 18=4x x=18/4 (1). 2x+15=272x=27-152x=12x=12/2x=6(2).7x=20-3x 7x+3x=2010x=20x=2 2x =27-15=122).7x+3x equal to 20,10x=20X=2 2) 2 answer (3).3x+4=7(x+2)3x+5=7x-144x=19x=19/44}. 2x+3=16-(2x-3)2x+3=-32x+4834x=45x=45/34 maine 3 &4 kar siya he 2 is the right answer 2x=27-15=12x=12/2=6 7x+3x=2010x=20x=20/10=2 1) 2x=27-15 2x=12 x=6 2) 7x+3x=20 10x=20 x=2 is the correct answer |
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| 12. |
की . 8 =e 7% st क्र 18 W"A‘fl s 22770 .k twl&L meny Such chains o by Lppit ei b=z |
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Answer» Cost of one chair = 22770/18= 1265Chairs can be brought for rupees 10120= 10120/1265= 8 chairs |
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| 13. |
2. On comparing the ratios , and , find out whether the lines representing tefollowing pairs of linear equations intersect at a point, are parallel or coincident:() 9x+3y+12-07x+6y-9=0ii) 6r-3y+10 018x+6y +24 #0 |
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Answer» Thanks |
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| 14. |
On comparing the ratios", and find out whether the lines representing thea, b, c,following pairs of linear equations intersect at a point, are parallel or coincident:() 5x 4y+8=0(i) 9x + 3y + 12 = 07x + 6-9-018x+6y +24-0(ii) 6x - 3y + 10-02x-y+9=0 |
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Answer» guxygjzfizdzuxxhzgfhzoxfckgU, hvig😘😅😍😁😅🥰😅😇 please select the correct questions 1---- intersect at a point2---- parallel 3---- coincident bhai accept kar lo mai tmhara kar leta hu 1) they intersect 2) they are coincident 3) they are parrallel |
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| 15. |
2. On comparing the ratios--,-and-L, find out whether the lines representing thea2 b2 2following pairs of linear equations intersect at a point, are parallel or coincident:(ii) 9x + 3y +12=018x + 6y + 24 0(i) 5x-4y + 8 = 07x +6y-9 0(iii) 6x-3y +10:02x-y+9-0 |
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| 16. |
ind the rationo t to 108 (b) 98 to 63of the following:2to 121 km (d)ratin of the following.t0430 minutes to 45 minutes |
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Answer» (a) Ratio of 81/108 = 3:4(b) Ratio of 98/63 = 14:9(c) Ratio of 33/121 = 3:11(d) Ratio of 30/45 = 2:3 |
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| 17. |
13. In cleven hours C walks 121 km less than D does in twelvehours; and in five hours D walks 3ł km less than C does in sevenhours. How many km does cach walk per hour? |
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| 18. |
g. In the natural numbes form yo to 250 bowmenydivisiable byn |
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| 19. |
19. The diameter of the wheel of a car is 77 cm. How many revolutions will it make to travel121 km? |
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| 20. |
19. The diameter of the wheel of a car is 77 cm. How many revolutions will it make to trae121 km? |
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Answer» thank you for your time and consideration and I will have a great time in a few years ago by you and the future of our lives are not in a few years back when I get the future of our clients are from the question |
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| 21. |
Fard o कट umbey - 0F 4 g"’m&" .Hmfijl‘zfifiod of 524, a3 o) न |
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Answer» √(529)=√(23x23)=23 no. of digits=2 |
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| 22. |
uso. A motor boat can travel sokes nostresand 28 km downstream in a Thows. Itcan pres travel o 1 km na team and satanLin 5 hours. Find the speed of bont in IRLwater and the speed of stream |
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Answer» let the speed of the boat be x and the speed of stream be y 30/x-y + 28/x+y =7 21/x-y + 21/x+y=5 therefore 1/x-y=a,1/x+y=b 30a+28b=7...(1)×21 21a+21b=5.....(2)×30 630a+588b=147 630a+630b=150 (1)-(2/ -42b=-3 b=1/14 substituting the value of b in(1) a=1/6 a=1/x-y 1/6=1/x-y x-y=6...(.3) b=1/x+y 1/14=1/x+y x+y=14......(4) (3)+(4) 2x=20 x=10 x+y=14 y=14-10=4 therefore speed of boat is 10km/hr and speed of stream is 4km/hr |
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| 23. |
In every gram of gold, a goldsmith mixes 0.25 grams of silver and 0.05 grams of copperWhat is the percentage of gold, silver and copper in every gram of gold? |
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Answer» 0.25=silver0.05=copperso 0.7=goldso gold percentage=0.7/1*100=70%so copper percentage=0.05/1*100=5%so silver percentage=0.25/1*100=25% |
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| 24. |
if a man sell a pen in 524 rs and got a profit that is equal to loss of he sells that pen at cost of 452 find its CP |
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| 25. |
In every gram of gold, a goldsmith mixes 0.25 grams of silver and 0.05 grams of copper.What is the percentage of gold, silver and copper in every gram of gold? |
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| 26. |
gram of gold, a goldsmith mixes 0.25 grams of silver and 0.is the percentage of gold, silver and copper in every gram of geveryhat |
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| 27. |
A goldsmith mixes gold and copper in the ratio 72 to prepare an ormament If the omament weighs 45gms, find the weight of gold and copper in it. |
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| 28. |
15. Places A and B are 100 km apart on a highway. One car starts from A and another from B atthe same time. If the cars travel in the same direction at different speeds, they meet in5hours.If they travel towards each other, they mect in 1 hour. What are the speeds of the two cars? |
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| 29. |
e"+ax+b is a solution of the differential equationa solution2025. Show that y -1 |
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| 30. |
- दी हुई समांतर " गजo aEEim’d श्रेढ़ी के प्रथम चार पद लिखिए, जबकि प्रथम पद ८ और सा!s हा ही (ia=-2,d=0 (iii) a-V) a=—1,4- 5 (४) a=-125,d =— 025 bB a 2 |
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Answer» i) 10,20,30,40 ii) -2,-2,-2,-2 iii) 4,1,-2,-5 iv) -1,-1/2,0,1/2 v) -1.25,-1.5,-1.75,-2.0 If you find this answer helpful then like it. |
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| 31. |
1/3 part of a certain amount was given to Johnand rest to Mary. If Mary got 524, what didJohn get ? |
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Answer» John will get 1/3 rd of ₹524(1/3) × (524)= ₹174.6 |
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| 32. |
Find the radian measures corresponding to the following degree measns(025()430 (ün 240(iv) 520 |
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| 33. |
ln every gram of gold, a goldsmith mixes 025 grams of silver and 0.05 grams ofcopperWhat is the percentage of gold, silver and.copper in every gram of gold? |
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| 34. |
O, HEYRAAUTL ARSI T S U X =555 uil शड़ाय o, T ! हि हे s१०५ गालiवर्जन 100 विद्यार्थशिज जणशितमां 100 ooL |
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| 35. |
है 5, _5०25.5/505 & W |
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Answer» sin^2 45 +cos ^2 45 =(1/√2)^2 + (1/√2)^2 = (1/2)+(1/2)=2/2=1Now LHS=RHSLike if you find it useful |
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| 36. |
0. One number is 7 times another number. If 14 is added to the sum of the numbers, the result is 38. Find the numbers1 Tehnic 7 anre older than his sister and the sum of their ages is 21 years Find their ages |
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Answer» 7x+14=38 7x=38-14 ×=24÷7 x=3.42 3.42 is the right answer 7x+14=38 , 7x=38-14 = x=24÷7=3.42 this is right answer correct answer is 3.42 let the numbers be x and y.Given x=7yATQ x+y+14=38x+y=38-14x+y=24 [At x = 7y] 7y+y=248y=24y=24÷8y=3 x=7yx=7*3x=21So the two numbers are 21 and 3. 7x+14=387x=38-147x=24x=24/7x=3.42is correct answer. 3•42 is correct answer 3.42 is correct answer. |
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| 37. |
Renu is 6 years older than her younger sister. Afer 10 years, the sum of their ages will be 50 years. Find theirpresent ages. |
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Answer» let age of Renu be xthen age of her sister=x-6after 10 year, age of Renu=x+10age of her sister=x-6+10=x+4then, (x+10)+(x+4)=502x+14=502x=50-14=36x=18.....(present age of Renu)x-6=12.....(present age of sister) |
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| 38. |
Inabank, principal increases continuously at the rate of 5 % per year. An amountof Rs 1000 is deposited with this bank, how much will it worth after 10 years( 1.648).21. |
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| 39. |
e. 6060 + 505 |
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| 40. |
3. The difference in the place values of 5 is 470515 isa. Ob. 505C. 495 |
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Answer» The last digit place value is unitsand the next is 100hence500-5=495 |
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| 41. |
111) tThe values fksacof the folloving quadrthey have twthe following quadratic equations, so thatthey have twoequal roots.(x-2) + 6 = 000 |
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| 42. |
Sol, sin θ + cos θ = V2sin (9in θJ2 cos θ-cos θ-2V2+1cot θWithout using trigonometric tabl1. Sin 16°cos 74tan 38cot 52°2. () sin 67° +sin2 23°(iii)(iv)cos(i) Sin 490)2 |
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Answer» sin16/cos74=sin(90-74)/cos74=cos74/cos74=1tan38/cot52=tan(90-52)/cot52=cot52/cot52=1sin^2(67)+sin^2(23)=sin^2(90-23)+sin^2(23)=sin^2(23)+cos^2(23)=1 |
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| 43. |
A fun park had 90148 visitors in a month. Of these 56921 visitors visited onSaturdays and Sundays. Estimate the number of visitors who visited the funpark in the first five days of the week by rounding to nearest ten-thousands. |
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Answer» No if visitors in weekdays = 90000-60000 = 30000 visitors |
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| 44. |
x uus |
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Answer» Given 2x^5 = 486=> x^5 = 486/2 = 243 so x = (243)^(1/5) = 3. |
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| 45. |
1(i)r + y = 5,2x +2y 10 |
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Answer» x+y=5lets multiply it by 2so 2x+2y=10so both the lines are parallel. what |
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| 46. |
O=1+Ag+x/-0=61-Ag-x¢ g |
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Answer» 3x - 5y = 19.....(1)x = (5y + 19)/3-7x + 3y = - 1....(2) Put value of x in eq(2)-7*(5y +19)/3 + 3y = - 1-35y - 133 + 9y = - 3-26y = 130y = 130/-26 = - 5 Put value of y in eq(1)3x - 5*(-5) = 193x = 19 - 25x = - 6/3 = - 2 |
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| 47. |
L= 0 + ŕ¤ŕ¤Ťg = Ag + 17 |
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| 48. |
(A) Mother's sister(C) Mother-in-law\B) Grandmother(D) Sister of father-in-law55. Find correct replacement for "?"18 | 24 | 3212 14 163?72 | 112 | 128(A) 2(B)304(D)556. Find the wrong term.4.1 74 9 9 13 16 |
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Answer» 3 24 ÷ 3 × 14 = 112(column wise)set 118 ÷ 3 × 12 = 72set 232 ÷ 4 × 16 = 128 the correct replacement of is 2 |
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| 49. |
16. If A(5,-1), B(-3,-2) and C(-1,8) are thecoordinates of the centroid. OR2) and C(-1.8) are the vertices of a triangle ABC. Tind the length of median therongh A andtabeively,P(X,Y) İs any point in |
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Answer» The vertices of a triangle are A(5,- 1) , B(-3, -2)and C(-1, 8). Let D the mid point of BC. Then the coordinates of D is (-3-1/2,-2+8/2) = (-2,3). Length of the median is AD = sqrt[(-2-5)^2 + (3+1)^2] = sqrt(49 + 16)= sqrt(65) Coordinates of centroidx = (5-3-1)/3 = 1/3y = (-1-2+8)/3 = 5/3 |
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| 50. |
The present age of a brother is 5 years more than thattheir present ages is 21 years, the present age of the sister isa 8 yearshis sister. If thesum of13 years(c) 14 years(d) 1 years |
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Answer» Let the present age of the sister be a years.Present age of brother= (a+5)yrsSum of their present ages=21According To Questiona+(a+5)=212a+5=212a=21-52a=16a=8Answer-> Present age of the sister is 8 years |
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