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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. |
Evaluate the following absolute value expressions.a. I-100) -98c. /-13 +10b.) 51 2-8d. 14-1-10+3 |
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Answer» 1)100-98=22)5|-6l=5*6=30 3)13+0=134)14-|-7|14-7=7 values inside mod are always taken positive |
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| 2. |
...... so thel on Jun(1) Given a G.P. with a = 1, r=2. Find S20-5.andthterm aa |
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| 3. |
14. Two concentric circles have radii of 98 cm and 126 em respectively. By how much is thecircumference of second circle more than that of the first? |
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| 4. |
24 and 32aiDecimals auQuest fund the All and un of 24nur answers using the equationut of the numbers.the equationHA erdues |
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| 5. |
2.Which numbers will come in the blanks(a) 8, 22, 16, 14, 32, 64 1760) 98(ii) 88(iii) 68 |
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Answer» 88 is the answer.keep track of alternative terms.and change 14 ro 44.8+8=1616+16=3232+32=64and22+22=4444+44=8888+88=176. |
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| 6. |
EXERCISE 1.3following in decimal form and say what kin\begin{array}{l}{\text { (ii) } \frac{1}{11}} \\ {\text { (v) } \frac{2}{11}}\end{array} |
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Answer» 1/11=0.092/11=01818 thank |
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| 7. |
4*x^2 - 9*x=100 |
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Answer» 100 is the correct answer |
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| 8. |
Exercise 1A1. Express(i) - 44as a rational number with denominators:(ii) - 110(11) 209 |
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| 9. |
the vertical angle is twice the measure of each base angle of an isosceles triangle, find the measure ofeach angle. |
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| 10. |
If an angle is 6° less than twice its supplemehow much does each angle measure? |
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Answer» Let one angle be xthen acc to your question second angle=2x-6and as they are supplementary angles so their sum is 180so x+2x-6=1803x=186so x is 62therefore one angle is 62 and other becomes 62*2-6 that's 118 |
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| 11. |
25. A train speeds past a pole in 15 seconds and a platform 100 m long in 25 secondsi the train.Findthe |
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| 12. |
dimellsionlength of a rectangular field is twice its breadth. If the perimeter of the field is 228Themetres, find the dimensions of the field.innalo15 less than twice the first angle. The third angle is 20 |
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Answer» thanks 2x=238=76 meters gsjsnbsjsnsbsb after meters is the last Word |
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| 13. |
An obtuse angle of a parallelogram is twice its acute angle. Find the measure of each angle of the parallelogram. |
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Answer» in a parallelogram opposite side are parallelthere for sum of interior angle is 180and sum of all angle 360by the given conditionx+2x= 180 (let acute angle be x)3x=180x=60 therefore 60, 120, 60, 120 |
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| 14. |
The measure of an angle is twice its complement. What is the measure of the angle. |
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| 15. |
9. A train, 100 m long, is running at a speed of 54km/hr. If it crosses a bridge in 12 seconds, find thelength of the bridge. |
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| 16. |
An angle which is greater than 180° but less than 360° iscalleda) reflex anglec) supplementary angle d) Straight angleb) complementary angle |
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Answer» Na angle which is greater than 180 but less than 360 is called reflex angle. grater that 180 but less than 360 is called reflex angel |
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| 17. |
the vertical angle is twice the measure of each beach angle.angle is twice the measure of each base angle of an isosceles triangle, find the measure of |
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| 18. |
Each of the two equal angle of an isosceles triangle is twice the third angle .find the angle of the triangle. hint.let the third angle be x.then 2x+2x+x=180 |
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Answer» thx you thx |
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| 19. |
The supplementary angle of an angle is four times of its complementary angle. Find the angle. |
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| 20. |
allall8An angle is four times of its complementary angle. Findan angle and its supplementary angle. |
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Answer» let the angle be xx, its supplement is 90-xso we have 4x = 90-x5x = 90x = 18so supplement is 180- 18 = 162 |
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| 21. |
If an angle 5 times of its supplementary angle, Find the measure of pair angle |
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Answer» Let angle be "x".Complement = 90-x Equation:x = 5(90-x)x = 450 - 5x6x = 450x = 75 degrees |
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| 22. |
An angle which is greater than 1800 but less than 3600 iscalleda) reflex anglec) supplementary angle d) Straight angleb) complementary angle |
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Answer» An angle which is greater than 180 but less than 360 is called reflex angle. |
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| 23. |
The measure of two angle are in the ratio7:8 and the supplementary angle:What are their measure in degrees.aycer |
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Answer» 7 duwtsoytgwhfw nhwgdwiey kejehehjeoudbee let the angles be 7x and 8xThen its supplementary angle be 180According to the question,7x+8x=18015x=180x = 180÷15x=12the first angle will be 7x=7×12=84the second angle will be =8x=8×12=96 84°and 96°are the correct answer |
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| 24. |
the value of xo if its supplementary angle is three times its complementary angle. |
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Answer» thank u so much |
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| 25. |
3) Supplementary angle of 50 degree is |
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Answer» When two angles are supplementary then their sum is 180°so here supplement of 50° be let xx + 50° = 180°x = 180° - 50° x = 130° |
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| 26. |
6A man walks dikw in a dayHow much distanceWeekwill he cover in a |
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Answer» A man cover distance in one day =11/2 km One week=7 days so A man cover distance in days=11/2×7=77/2km 77/2km is the correct answer 11/2 km in a day.so in a weekhe cover distance =11/2×7 = 5.5×7=38.5km ....ans answer is 371.5..... 77/2 is the correct answer of the given question |
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| 27. |
ll portionlte area of the f(Use : π-22/7) . INCERTr cone mounted on a hemisphere of adius oyormed. CBSE 2006and height 15 cm is melted and recast intocm.he height of the toy is 12 cm, find the number of toyscontainer open at the top, is in the form of a frustum of a cone of height 24 cm wisi of its lower and upper circular ends as 8 cm and 20 cm respectively. Find vof milk which can completely fill the container at the rate of R 21 per litehape of a right circular cone(Use T22/7) ICBSE 20 |
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| 28. |
27. Prove that the lengths of the tangents drawl Holll a28. A container open at the top, is in the form of a frustuim of a cone of height 24 em with radi of its lowerand upper circular ends as 8 cm and 20 cm respectively. Find the cost of milk which can completely filthe container at the rate of 27 per litre. IUse π- |
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| 29. |
16. The slant height of a bucket is 26 cm. Thediameter of upper and lower circular endsare 36 cm and 16 cm. Find the height ot[CBSE 2012]the bucket.2uce |
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Answer» Here, l = 26 cm, upper radius = 18 cm, lower radius = 8 cm d = difference in radius = 18 - 8 = 10 cm. Let h be the height of bucket h=√l^2-d^2h=√(26)^2-(10)^2h=√676-100=24cm |
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| 30. |
583.50, find theA store has 432 dresses for girls. If the cost of each dress iscost of all dresses. |
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Answer» multiply 432 and 583.50you will get 252,072 |
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| 31. |
bucket open at the top is of the form of a frustum of a cone. The diameters ofit 's upper and lower circular ends are 40cm and 20 cm respectively. If total17600 cm3 of water can be filled in the bucket, find its total surface area. (Use T29.A |
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| 32. |
ve the following equations and verify your answers.5. Solve the fol(2) / 1 + 2 =127y-36y +1(d) 2(63 y) = 5 (2y + 1).(h) 0.6x + 0.8 = 0.28x + 1.16Un numbers is 23. Find the numbers. |
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Answer» x+2x=483x=48X=48/3X=16 |
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| 33. |
mbhav bought a book for 89.75, a pen for t 25.00 and a file for200 to the shopkeeper. How much money should he get back?45.25. He gave6 The cost of 3 dresses is880. How much will 1 dress cost? If Neha buys 2 dresses, howmuch will she have to pay? |
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| 34. |
ISonam runs at a speed of 25 km/hr, how long will she take to run a 800-metrerace ? |
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Answer» t=d/s1 km=1000mt=800/25000=8/250 h =(8×3600)/250 s=115.2s wrong answer in seconds it is correct answer wrong answer we find answer in minutes ans is 5.76 minutes no answer is 5.76 minutes |
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| 35. |
17. A train of length 150 m, takes 10 sec to pass over anothertrain 100 m long coming from the opposite direction. Ifthe speed of first train be 30 km/hr., what will be thespeed of second train?(A) 36 km/hr(C) 25 km/hr(B) 75 km/hr(D) 60 km/hr |
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| 36. |
18+9825. A train 360 m long is running at a speed of 45 km/m. What time will it taketo crosss a 140 m long tunnel? |
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Answer» Speed = 45 Km/hr = 45*(5/18) m/sec= 25/2 m/secTotal distance = 360+140 = 500 meter Time = Distance/speed= 40 seconds |
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| 37. |
A train 100 m long, running at36 km/h, takes 25 s to pass abridge. The length of the bridge is |
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Answer» 36kmph x 25 x 5/18( to change it in to m/second) 250 meter= total distance250 meter= length of train + length of bridge250-100 = 150 m = length of bridge Thank you. |
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| 38. |
7. A train 100 metres long running at 36 km/h takes 25 seconds to pass a bridge. What is the lengthof the bridge? |
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Answer» where is the answere |
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| 39. |
The speed of a Garden-Snail is 50meters per hour and that of the Cheetah is 120ters per hour. Find the ratio of the speeds. |
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Answer» Speed of snail = 50 meter per hr or 0.05 km per hr Speed of cheetah = 120 km per hr Time = 1 hr or 60 min To find ratio between the speed of the cheetah and snail : Cheetah : snail 120 : 0.05 2400 : 1 So for every 2400 meter covered by the cheetah the snail would have covered only 1 meter |
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| 40. |
Solve the following numericals.I. A snail covers 1 metre in 10 seconds. What is the speed of the snail in km/h?2. A superfast train moves with a speed of 120 kilometres per hour. What is the distance travelledby the train in one minute? |
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Answer» distance travelled by snail=1mtime taken by snail =10swe know, speed=distance travelled/time taken:.speed of snail=DT/TTfor this first we have to convert the distance into km and time into hourSo, 1m=1/1000m =0.001kmnow, 10s=10/60 =0.16hnow, the speed of snail=0.001/0.16 =0.006km/hans) speed of snail in km/h is. 006km/h |
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| 41. |
Mohan runs with a speed of 5 kilometres per hourof 100 metres per minute. Wir Saban in 5 minutes?Solution:whereas Sohan runs with aho runs faster? How much distance will be coveredMohan's speedE |
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| 42. |
A train 120 m long is running at 54 km per hour. In how much time will it pass a bridge 180 mlong?19. |
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Answer» to cover whole bridge train need to cover 120+180 = 300 m = 0.3km time taken to cover = distance / speed = 0.3/54*3600 seconds = 20 seconds |
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| 43. |
A man walks one and a half kilometres in one hour. Howmany kilometres does he walk in one and a half hours at thisspeed? |
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Answer» Let r = the rate the man walked then (r+.5) = 1 hr less rate and (r-1) = 3 hr more rate let t = time he actually walked then (t-1) = time taken at the faster speed and (t+3) = time at the slower speed Distance for all three situations is the same (dist = rate * time): So, rt = (r+.5)(t-1) rt = rt - r + .5t - .5 rt - rt + r - .5t = -.5 r - .5t = -.5 (1) Also, for the slower speed case, rt = (r-1)(t+3) rt = rt + 3r -t - 3 rt - rt - 3r + t = -3 -3r + t = -3 (2) multiply the 1st equation by 2 and add to the above equation 2r - t = -1 -3r + t = -3 ---------------eliminates t -r = -4 r = 4 km/h is the actual walking rate Find t using: r -.5t = -.5 4 - .5t = -.5 -.5t = -.5 - 4 -.5t = - 4.5 t = 9 hrs actual time Hence, Dist = r*t 4 * 9 = 36 km |
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| 44. |
5. An aeroplane covers 3081 km in 6 hours. Find the speed of the aeroplane. |
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Answer» Distance - 3081 kmTime - 6.5 hoursSpeed - distance / time= 3081/6.5=474 km/ hr 474 km/hr is correct answer. |
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| 45. |
An aeroplane covers 1485 Km in hour how much distance will it cover in 72 hours |
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Answer» 1485*72. = 106920 km in 72 hrs. the aeroplane will travel 106920 km |
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| 46. |
heightof3000meres,4. An aeroplane flying horizontally 1 km above the ground is observed at an eof 60°. After 10 seconds, its elevation is observed to be 30°. Find the speedaeroplane in km/ hr |
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| 47. |
6. How can salicylic acid be prepared from phenol? (Give 2 separate reactiUIts)7ut of o- and p-nitrophenol which is more acidic and why? |
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Answer» Salicylic acidhas a structure consisting of a benzene ring, with COOH and OH groups in position 1 and 2 respectively. step 1: it is done by kolbe's reaction. for this, add NaOH to thephenolto convert it into phenoxide ion. |
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| 48. |
One litre of petrol costs 63 - What is the cost of 34An aeroplane covers 1020 km in an hour. How much distance willne metre of cloth? |
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Answer» distance covered by the aeroplane is 4250 km |
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| 49. |
20. A SCUOLLI LUSS JUT23. 110WUCI WTUI un vous23. An aeroplane covers 1485 km in 1 hour. How much distance will it cover in 72 hours?.11 |
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Answer» 1485 x 72 the answer is 106920 |
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| 50. |
Out of 25.25 metres of cloth. Vimal stitched five dresses of equal size. If each dress required 4.4 metres of cloth, how many metres of cloth is left with her? |
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Answer» total cloth = 25.25 metrevimal stiched five dresses = sototal cloth material used = 5* 4.4= 22metreremaining cloth = 25.25-22.00= 3.25 metre |
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