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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. |
3. Define: parallel lines |
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Answer» In geometry,parallel linesarelinesin a plane which do not meet; that is, twolinesin a plane that do not intersect or touch each other at any point are said to beparallel. By extension, alineand a plane, or two planes, in three-dimensional Euclidean space that do not share a point are said to beparallel. |
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| 2. |
Define the parallel lines. |
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Answer» n geometry,parallel linesarelinesin a plane which do not meet; that is, twolinesin a plane that do not intersect or touch each other at any point are said to beparallel. By extension, alineand a plane, or two planes, in three-dimensional Euclidean space that do not share a point are said to beparallel. two lines are said to be parallel if they do not intersect each other when produced from both sides. Two lines whose ends don't meet and having same distance between them are called parallel line ex the track of train two lines in a plane never meet and the distance between two lines same at anywhere Parallel Lines are those lines whose ends never meet. They also said to be parallel if they also have same distance between them. For Example-Tracks of train lines which do not intersect are parallel lines Parallel Lines means two lines which are not equal to each other Parallel linesare two lines that are always the same distance apart and never touch. In order for two lines to be parallel, they must be drawn in the sameplane, a perfectly flat surface like a wall or sheet of paper.Parallel lines are useful in understanding the relationships between paths of objects and sides of various shapes. For example, squares, rectangles, and parallelograms have sides across from each other that are parallel. two lines are said to be parallel if both sides are same at anywhere the lines which do not intersect or meet at a point parallel lines are two or more lines that never intersect. example of parallel lines are all around us,in the two sides of this page and in the shelves of a book case |
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| 3. |
2. Define: (1) Parallel lines (2) Square |
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Answer» parallel line : two lines which do not meet each other are called parallel line. Sqaure : A quadrilateral with all sides are equal. |
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| 4. |
1. Compareand ? |
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Answer» 52<77 4/7<11/13 the correct answer of the given question 52<77 is the right answer of this question 52<77 is correct answers. 11/13 is the greatest number 11/3 > 4/7 is the best answer. 52/91<77/91 is the best answer |
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| 5. |
1. Define the following:(i) Parallel linesiv) Radius of a circle. |
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Answer» 1. In geometry,parallel linesarelinesin a plane which do not meet; that is, twolinesin a plane that do not intersect or touch each other at any point are said to beparallel. By extension, alineand a plane, or two planes, in three-dimensional Euclidean space that do not share a point are said to beparallel. 2.In classical geometry, aradius of a circleor sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. The plural ofradiuscan be eitherradii(from the Latin plural) or the conventional English plural radiuses define the following terms perpendicular lines |
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| 6. |
Compare 3 7 |
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Answer» To compare, √5/3 and 3/√7 Now cross multiply them √35 and 9So, we know √35 < 9 Therefore 3/√7 is greater than √5/3 |
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| 7. |
Compare the following |
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Answer» 4/11 is greater than -5/11 4/11, -5/11:; -5+4/11=-+/11; 4-(-5)/11=9/11 4/11 > -5/11 is the right answer 4 /11 is greater than -5/11 4/11 is greater than-5/11 4/11 is greater than - 5/11 4/11 > (-5)/11 is the answer. (4-5)/11-1/11is correct answer the correct answer is(4-5)/11 -1/11 of the following question {4-5}/11=-1/11answer 4/11,-5/11:,-5+4/11=-+/11;4-(-5)/11=9/11 |
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| 8. |
1. Compareand |
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Answer» 5/4>9/21 is the right answer 5/4>9/21 is the right answer 5/14 and 9/21LCM of 14 & 21 is 425×3/14×3 and 9×2/21×215/42 and 18/4215/42 < 18/425/14 < 9/21 The right answer is 9/21>5/14 5/4>9/21 is correct answer.Plz like my answer. 5/14and9/21 Final result : 5and9 ————— 294 Reformatting the input : Changes made to your input should not affect the solution: (1): "d9" was replaced by "d^9". Step by step solution : Step1: d9 Simplify —— 21 Equation at the end of step1: 5 d9 ((—— • a) • n) • —— 14 21 Step2: 5 Simplify —— 14 Equation at the end of step2: 5 d9 ((—— • a) • n) • —— 14 21 Step3: Final result : 5and9 ————— 294 9/21>5/14 is the answer. |
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| 9. |
(2) Compare and |
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Answer» 4/5 and 5/64/5 = 0.85/6 = 0.8333so5/6 > 4/5 |
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| 10. |
\frac { 4 ^ { n + 1 } \cdot 2 ^ { n } - 8 ^ { n } } { 2 ^ { 3 m } } = \frac { 3 } { 8 } , \text { prove that } n + 1 = m |
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Answer» incomplete solutions,in this we have to prove n+1=m thanks |
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| 11. |
*__ सूत्र एकाधिकेण पूर्वण द्वारा गुणा कीजिये - 103 » 197. |
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| 12. |
(197)- प्र. 11.tanका मान ज्ञात कीजिए। |
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Answer» √ 3 is the correct answer of the given question π\3 is correct answer 5.4413980927 correct and hoga |
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| 13. |
1. Simplify the following:a, 5x5b. 193Ă197 |
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| 14. |
-5. In Fig 7.51, PR > PQ and PS bisects 2 QPR. Provethat ZPSR > 2 PSQ.*ThesFig. 7,51 |
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Answer» Given: PR > PQ & PS bisects ∠QPR To prove: ∠PSR > ∠PSQ Proof: ∠PQR > ∠PRQ — (i) (PR > PQ as angle opposite to larger side is larger.) ∠QPS = ∠RPS — (ii) (PS bisects ∠QPR) ∠PSR = ∠PQR +∠QPS — (iii) (exterior angle of a triangle equals to the sum of opposite interior angles) ∠PSQ = ∠PRQ + ∠RPS — (iv) (exterior angle of a triangle equals to the sum of opposite interior angles) Adding (i) and (ii) ∠PQR + ∠QPS > ∠PRQ + ∠RPS ⇒ ∠PSR > ∠PSQ [from (i), (ii), (iii) and (iv)] |
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| 15. |
mate theal meuthe following and then1. Round on the numbers to nearestencompare the lineThe sum of 373,412 anddifference of 51.50,704 and 3.22.353 |
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Answer» 3,73,412+324,537=6979549 51, 72, 412 + 322,352=5494764 3,73,412+324,537=6979549 373412+324537=6979549 is the sum 373412+324537=6979549 |
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| 16. |
| 5, एक बेईमान व्यापारी सामान खरीदने वक्त5% का धोखा करता है तथा बेचने वक्त10% का धोखा करता है, तो व्यापारी कोकितने प्रतिशत का लाभ प्राप्त होता है?MATE |
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Answer» let shopkeeper purchase 100x kg material at 100 rs but 5% cheating he pay 100 rs for 105 kg materialin selling time he cheating 10% mean he sell 90x kg material for 100 rs 90x kg cost (sp) = 100 rs1 kg cost = 100/90x105xkg sp = 105x×100/90x=116.66₹so profit = 116.66-100= = 16.66% shopkeeper material rs.100; cheating 5°\•, he pay 105kg material; 90x kg material for 100 rs. 105x100/90=116.66; so profit =116.66 -100=16.66\°\° |
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| 17. |
no2 Hema Rent Rs: 40980 to lankal at theMate of 657. Per annum compoundintenst. Find the amount payable byLankaj its Hema after 3 Years o |
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| 18. |
(1) 15010. The greatest 4 digit number, such that when it divided by 15, 18, 21(4) 6575t4s to e Rs and 10s roleaves remainder 5 in each case is(1) 7565(2) 7556(3) 5756 |
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Answer» Answer: 1)7565Explanation |
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| 19. |
Find the value of K' if 4x³ -2x² + kx +5 leaves remainder 10 when divided by 2x + 1. |
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Answer» k = -12 Thnq |
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| 20. |
9. The difference between two angles is 20°. If thesangles are complementary, find the angles |
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| 21. |
(d) of thesch) |
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| 22. |
9 In the given figure, if AC-BD, thes prove that AB-CD. |
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| 23. |
cos-1 (2r -1)-(A) 2 cos-1x (B) cos(C) 2cos-1/(D) of thes |
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Answer» Let x=Cos^2t NowCos^-1(2Cos^2t-1)= Cos^-1(Cos2t)=2t =2Cos^-1√x option c |
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| 24. |
103*197 |
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Answer» The answer is 103*197=20991 103X197= 20291 is the right answer 20291 is the right answer of the following 20291 is the correct answer of the given question 103*197=20991 answer h 103×197= 20291 is right answer 20291 is the correct answer 20291 is the right answer of the following |
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| 25. |
matic progress.IF x +12,2x 15, 2x + 10 are in AP then find x. |
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| 26. |
Challenge!What should be added to4) (+6) to get the productx-3) (8) |
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Answer» 5+3=65×2+09/76÷3=2×1+3344÷6=627 5+3=65×2+9/76÷3=2×1+3344÷6=627 is your answer 627 is the best answer for the question |
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| 27. |
1. In a class, there are 9 rows of benches. If the total number of benches is 756, findthe number of benches in each row. |
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Answer» 84 is the correct answer of the given question No. Of rows =9No.of benches=765So.no.of benches in 1 row=765/9=85 benches 84 is the answer of the following 84 is the correct answer 84 is the right answer |
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| 28. |
4In a class, thereIn a class, there are x rows. In each row there are y benches and in each bench z number of students sit.Determine, how many students sit in that class.Area of a triangle is one-half the product of its base and height. If the base of the triangle is x cm andheight is two-third of its base, then find the area of the triangle.The population of a certain species of insect is a now. It is doubled after 2 days. What will be its populationafter 8 days? |
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| 29. |
Which term of the AP: 3. 15, 27, 39,will be 132 morethanits54thterm?nlan olie hetween 10 and 250? |
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Answer» For an AP 3, 15, 27, 39a = 3, d = 15-3 = 12 nth terman = a + (n - 1)da54 = 3 + 53*12a54 = 639 Let mth term of an AP= 639 + 132 = 771 Then,771 = 3 + (m - 1)*12771 = 3 + 12m - 12771+9 = 12m780 = 12 mm = 780/12 = 65 Therefore 65th term is 132 more than 54th term |
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| 30. |
SOIVEUare men,are womenA housing estate has 720 residents.12O residents. Of thesrest are children. Find the nuwhildren in the housing estat |
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Answer» there are 570 children in the housing estate 5 70 is the right answer 570 is the correct answer of the given question |
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| 31. |
11 A housing society constructed 197 houses. If the cost of construction for each house is*450000, what is the total cost for all the houses? |
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| 32. |
SECIION10. Find the value of k, if the points p (2, 4) is equidistant from the point A (5, K) and B(k, 7), |
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| 33. |
Challenge round4and z ,evaluate:34(i)xy +yz +xz |
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| 34. |
for 36 children's 18 benches are required for 1356 children's how many benches are required? |
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| 35. |
Draw a neat sketch of vernier calipers and label the partsOR |
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| 36. |
CD at F. Show that ΔΑΒΕ ~ Δ CFB9. In Fig. 6.39, ABC and AMP are two righttriangles, right angled at B and Mrespectively. Prove that:(i) A ABC A AMPСА ВСPA MP |
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| 37. |
- Find the least number which when divided by 16, 36 and 40 leaves 5 as remainder ineach case. |
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| 38. |
8.Without actual division check whether 77/210 is terminating or non-terminating. |
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| 39. |
MKILL TESTBotve the following questions with the kelp of thie neureiz ms m1Gdn 1smKitcheni a mMeetingHall12 m30 m4 m Bedroom10 m(a)What is the area of kitchen ?(b)What is the area of bedroom? |
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Answer» kitchen part is recatngluar in shape so area is L×B = 6 × 7 cm² = 42 cm² |
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| 40. |
open challengeSolve if u aregenius5-5X5 +599.4 Fail |
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Answer» the best answer is the 15 5-5x5+5=? 5-(25)+5 = 5-30 = -25 However my friends say it's -15 5-5x5+5=? 5-(25)+5=-20+5 =-15 5-5×5+5=5-25+5=10-25=-15 is the right answer -5 is the right answers - 15 is the correct answer -15 is correct answer -15 is the right answer 15 in right answer -15 is right answer...... -25 is the right answer -15 is the correct answer answer is -15 the correct Q)5-5*5+5 the question is right answer -15 25 is the right answers -15 is the best answer 👍 -15 is the right answer Ans)there are following answer of this question a)5b)-15(this is correct answer according to BODMAS rule) 10 is correct answer -25according to BODMAS rule 15 is right answere the question is write answer -15 25 is the right answer 5 Answer is the correct answer -15 is the correct answer as5-5 x 5+5=5-25+5=5-20=-15 (solve according to BODMAS ) 15 is thins answers my best 25 is right answer , -15 is right answeraccording to the Bodmas rule _15 is the correct answer "-15" is the right answer |
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| 41. |
tile is 15 cm long and 10 cm wide. The four walls of theif the length and breadth of each wall is 440 cm and 750 cm, how many tesrequired to tile the entire kitchen?kitchen need to be tiled.will beido ind its area. |
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| 42. |
In figure, triangleABCĂsright-angled at B. Given thatAB+9an,AC=ismandD, E are the mid-points of the sides AB andACrespectively, calculate() The lengthof BC15.(i) The area of & ADE |
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| 43. |
7)Explain Î AMPAASK) |
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| 44. |
195 amp.कि बैटरी 2 घण्टे चलती है तो 200 amp. कि बैटरी कितने घण्टे चलेगी ? |
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Answer» 195 ampbattery - 2 hours1 amp = 2/195= 0.01 hour200 amp = 200*0.01= 2 hour |
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| 45. |
v b| bbb सिर 1w I’J— + AL BT = I‘% . |
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Answer» (a+1/a)^3= a^3+1/a^3+3(2)8-6= 2a^3+1/a^3 = 2 |
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| 46. |
Q22. With neat sketch explain the operation ofop-amp Integrator circuit. |
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| 47. |
QR QT4. In Fig. 6.36, QS PR and 21- 22. Showand一_that Δ PQS ~ Δ TQR.2d T are noints on sides PR and QR of |
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| 48. |
QR QTFig. 6.36, Os PR and 1-42. Showthat Δ PQS ~ Δ TQR. |
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Answer» SOLUTION: In ΔPQR, ∠1 = ∠2∠PQR = ∠PRQ [GIVEN]∴ PR = PQ ……………..…(1) [Sides opposite to equal angles of a triangle are also equal]Given: QR/QS = QT/PRQR/QS = QT/PQ QS/QR = PQ/QT…... …(ii) [Taking reciprocals] [From eq (i)]In ΔPQS and ΔTQR,QS/QR = PQ/QT [From eq (ii)] ∠PQS = ∠TQR [ common]∴ ΔPQS ~ ΔTQR [By SAS similarity criterion] Hence, proved |
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| 49. |
व की. % o| Disjide 12 1w 6 =81 —7XE T | |
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Answer» 3x^2=9+183x^2=27x^2=9x=+-3 |
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| 50. |
. Is W a subspace of IR?Consider the subset W =(x, y) = x + y = 1) of RWhy? |
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