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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. |
US CHUISLIJOJ JL.21. Length of a rectangle is 16 cm less than twice its breadth. If the perimeter of the rectangle is 100 cm, findits length and breadth. |
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Answer» Let the breadth be bLength is 2b - 16 Perimeter of the rectangle = 2( l + b) = 100 cm=> 2 ( 2b - 16 + b) = 100=> 3b - 16 = 100/2=> 3b - 16 = 50=> 3b = 66=> b = 22 cmlength = 2 x 22 - 16 = 44 - 16 = 28 cm Hence, length = 28 cm and breadth = 22 cm |
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| 2. |
between the zeroes and coern enlts.Draw the graph for the equations x - y +1 0 and 3x +2y - 12 0. Determinethe coordinate ofthe vertices formed by lines and x axis. |
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Answer» The coordinates are (4,0) and (-1,0). |
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| 3. |
(2) Add the given polynomials.(i) x3-2x2-9;5x3 + 2x + 9 |
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Answer» Add the terms having same order. (1+5)x^3 +(-2+2)x^2-9+9 = 6x^3. |
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| 4. |
two points ot interseuliuTwo chords AB and CD of lengths 5 cm and 11 cm respectively of a circle areto each other and are on opposite sides of its centre. If the distance betweenn.2.e are paraleCD is 6 cm, find the radius of the circle. |
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| 5. |
Area of trapezium is 300m the perpendicular distance between two side is 15 and one parallel side is 16 find the length of parallel side |
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| 6. |
meter of the plotperimeter o- 2 Length + Breadth]Length of their needed275m5275 x 5 +6370much morekeep for her7. What remalength 23will be for8. A bottle18 suchper litre9. An aerogdistance1375 + 882 m702 x 2257 m - 2257 m70Answer10. How malitres of11. ShielaExercise 151. Calculate the bus fare for 560 km at 15, paise per kilometre.2. A coolie works for 8 hours per day. How many hours of work doshe put in a month of 31 days?3. What is the total weight of 25 books, each of which weighs 1kg?metrefor onecloth?12. The le275 m13. One-is 4504. A cake weighs 2 kg. Find the weight of 30 such cakes. Find the totacost of cakes at Rs 26 per kg5. A man gives away of his property to his son and of the remaindeto his daughter. The remaining property goes to his wife. Find theshare of the property of the wife.al townC24 A macloth6. Marry had Rs. 60. She shares of her money with her 6 friends. Honleft |
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Answer» Rohit spent rupees 1467 in january's.he spent rupees 2310 February.how mush did he spent in both the month altogether |
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| 7. |
Example 1 The area of a trapezium shaped field is 480 sq m, the distance between twoparallel sides is 15 m and one of the parallel side is 20 m. Find the other parallel side. |
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| 8. |
In a rhombus, if diagonals are 30 cm and 40 cm, find its perimeter. |
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Answer» Diagonal 30cm = 15cm+15cm (Legs of right triangle within rhombus) Diagonal 40cm = 20cm+20cm (Legs of right triangle within rhombus) We have to find the side of rhombus using pythagorean theorem, Formula to find perimeter, p = 4s s = side of rhombus, 15^2 + 20^2 = s^2 225 + 400 = s^2 625 = s^2 s = 25 Now perimeter of rhombus, = 4*s = 4*25 = 100 Therefore result of perimeter is 100cm |
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| 9. |
The area of a trapezium shaped field is 480 m2, the distancesides is 15 m and one of the parallel side is 20 m. Find the other parallel side. |
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Answer» thank you |
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| 10. |
3 parallel side t a 1sapesiurm ane scrolocm,distane between ther s scn Jind |
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| 11. |
Paras makes a cuboid of plasticine of sides 21 cm, 18 cm, 14 cm. How many such cuboids will heneed to form a cube? |
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Answer» volume of cube=lbh=21*18*14=5292cm^3for cube it is l^3hencecube root of 5292=17.92hence 17 cubes will form full solution |
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| 12. |
Which ofthe given lines are parallel toeach other? Give reasons(4)A. dB. |
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Answer» A. a || b, c || d B. r || s || t |
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| 13. |
Find the perimeter of the rectangwhose length is 40 cm and a diagonal41 cm: |
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| 14. |
EXERCISE-2.11. Find the degree of each ofthe polynomials given below(vi)5t_:3 |
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Answer» Degreei) 5ii) 2iii) 0iv) 6v) 2vi) 1 |
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| 15. |
plesSide of a square is 14.5cm. What is its perimeter?-4 x Side |
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Answer» Perimeter of square is 4 × side Given side is 14.5 cm Perimeter of square is 4 × 14.5 cm=58 cm Please hit like... |
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| 16. |
10. A wall 15 m long, 30 cm wide and 4 m high is made of bricks, eachmeasuring (22 cm × 12.5 cm × 7.5 cm). If of the total volume of thewall consists of mortar, how many bricks are there in the wall?12 |
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| 17. |
\tan ^ { 2 } \theta + \tan ^ { 4 } \theta = \sec ^ { 4 } \theta - \sec ^ { 2 } \theta |
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Answer» thanks |
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| 18. |
Prove tht the langenits ia5. Prove that the perpendicular at the point of contact to the tangent to a circlethrough the centre.ISndistance 5 cm from the centre of the circle is |
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Answer» Let , O is the centre of the given circle. A tangent PR has been drawn touching the circle at point P. Draw QP ⊥ RP at point P, such that point Q lies on the circle. ∠OPR = 90° (radius ⊥ tangent) Also, ∠QPR = 90° ∴ ∠OPR = ∠QPR Now, above case is possible only when centre O lies on the line QP. Hence, perpendicular at the point of contact to the tangent to a circle passes through the centre of the circle |
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| 19. |
Prove that 4(BL^2 + CM^2) = 5 BC^2 |
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| 20. |
10. A wall 15 m long, 30 cm wide and 4 m high is made of bricks, eachmeasuring (22 cm × 12.5 cm ×75 cm). If of the total volume of thewall consists of mortar, how many bricks are there in the wall?12 |
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| 21. |
\operatorname { sec } ^ { 2 } A - \operatorname { sec } ^ { 4 } A - 2 \operatorname { cosec } ^ { 2 } A + \operatorname { cosec } ^ { 4 } A = \operatorname { cot } ^ { 4 } A - \operatorname { tan } ^ { 4 } A |
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Answer» not able to understand Rearrange the terms : 1st step Use identity: 2nd step |
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| 22. |
The radius of a circular garden is 4.2 km. Find thecost of wiring its circumference at 15 paise per meter? |
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Answer» Circumference of circle= 2πr= 2*3.14*4.2*100026376mnow cost= 26376/15= 1758.4 rupees |
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| 23. |
Hence, ils Volumm is 12cma of a trapezium is 384 cm. Its parallel sides are in the ratio 3 : 5 and tn them is 12 cm. Find the length of each parallel side. |
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Answer» Given > height of trapezium = 12cmLet the common multiple be x ; thenthe sides will bea = 3xb = 5x Area of trapezium = (1/2)×(sum of parallel sides)×h384 = (1/2)×(3x+5x)×128x = 64x = 8 The length of the smaller side= 3x= 3×8= 24 cm |
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| 24. |
A wall 15 m long, 30 cm wide and 4 m high is made of bricks, eachmeasuring (22 cm x 12.5 cmx7.5 cm). If 12 of the total volume of thewall consists of mortar, how many bricks are there in the wall? |
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| 25. |
10. A wall 15 m long, 30 cm wide and 4 m high is made of bricks, eachmeasuring (22 cm X 12.5 cm X7.5 cm). If 1 of the total volume of thewall consists of mortar, how many bricks are there in the wall? |
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| 26. |
The area of a trapezium is 228 sq. cm. If its height is 12 cm and one of the parallel sides is 12 cm, find the other parallel side. |
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| 27. |
s Prove the identexpressions are defined.lowing identities, where the angles involved ace acute anges for whichs1-cos θcot θ)--1 + cos θ-1+an A = 2 sechco s A(cosec θ _ coter= 14 cosea) lcosAA.coinA. = 2seaACos A |
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| 28. |
2., We have learnt how to find perimeter and area of a square and rectangle in the earierclass. They are:a)perimeterof a square = 4 x sideerimeter of a rectanglee) Are of a square side2 x (length+ breadth)sidea of a rectangle length x breadth |
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Answer» These are the formulas for area and perimeter.What is your doubt here? plize ans ... |
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| 29. |
Area of square having perimeter 40 cm is_____m^2 |
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| 30. |
by Pythagoras theotem,A54IfBDADthenAR is 5 cm,is 4 cm andis 5 cmprove thatL'AB* + BDcm=AD? |
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| 31. |
BD 8 cm and AD 4 cm Find CD. |
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Answer» Given∠ABC=90°,BDis perpendicular toAC,BD=8,and, AD=4, as shown in the diagram. Let∠ACB=x,⇒∠CBD=90−x ⇒∠ABD=x,⇒∠BAD=90−x ⇒ΔABC,ΔADB,andΔBDCare similar ⇒BD/CD=AD/DB ⇒8/CD=4/8 ⇒CD=8×8/4=16 |
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| 32. |
14.The median ofthe given setorscores is 40 and its mean is 39,Find themode of the same scores. |
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Answer» Mode= 3 median+ * 2 mean = 3*40 - 2*39 =42 |
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| 33. |
In the figure, ABCD is a parallelogram withDE _L AB. IfAB is 15 cm and AD= 10 cm and the area ofparallelogram is 120 cm2, find AE |
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Answer» thank you |
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| 34. |
esdes of a triangle are 12cm, 35cm and 37cm.Find its area.t Th |
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| 35. |
13. A lane 150 m long and 9 m wide is to be paved with bricks, each measuring 22.5 cm by7.5 cm. How many bricks are required? |
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| 36. |
Z. A lane, 150 m long and 9 m wide,is to be paved with bricks, each measuring 22.5 cm by7.5 cm. Find the number of bricks required. |
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| 37. |
7. A lane, 150 m long and 9 m wide, is to be paved with bricks, each measuring 22.5 cm b7.5 cm. Find the number of bricks required. |
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| 38. |
lane, 150 m long and 9 m wide, is to be paved with bricks, each me7.5 cm. Find the number of bricks required. |
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| 39. |
2Perimeter of a rectangle is 2 m less than of the perimeter of a square. If the perlmelf the square is 40 m, find the length and breadth of the rectangle given that the breadtof the length. |
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| 40. |
2. Find the perimeter and area of a quadrilateral15cm,ABCD in which BC-12cm, CD-9cm, BDDA = 17 cm and ABD = 90°. |
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| 41. |
2.A rectangle is 16 m by 9 m. Find a side of the square whose area equals the area of therectangle. By how much does the perimeter of the rectangle exceed the perimeter of thesquare? |
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| 42. |
2. A rectangle is 16 m by 9 m. Find a side of the square whose area equals the area of therectangle. By how much does the perimeter of the rectangle exceed the perimeter of thesquare? |
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| 43. |
find the probability of drawing ace co.Spade or both of them from deck of cards |
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| 44. |
2.The perimeter of a square in 20cm. find the area. |
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| 45. |
12. Given Mean 40, find the missing observation in the foHowing da35, 45, 50,-, 38, 42 |
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Answer» Mean=sum/total number of observationslet three missing observation be xsum= 35+45+50-38+42+x sum=134+x 40=(134+x)/640 x 6 = 134+ x240 - 134 = xx = 106 thank you so much |
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| 46. |
uadrilateral ABCD in which AB 3.4 cm.CD -3 cm, DA -5.7 cm, AC8cm- 5.7 cm,and BD4 cm. |
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| 47. |
Find the ratio of:a. 10 m to 25 cmd. 3.2 m to 56 mExpress the followa. 2 hr to 300 min |
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Answer» (a)=10:25=10÷25=2÷5ans=2m:5cm (d)=3.2:56=32÷560=16÷285ans=16m:285m |
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| 48. |
24. Show that a diagonal divides a parallelogram into two triangles ofequal area. |
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| 49. |
Show that the median of a triangle dividesit into two triangles of equal area. |
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| 50. |
The curved surface area of a cylinder is 1760 sq cm. Its volume 12320 sq cm. Find its Radius. |
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