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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. |
ABC is a triangle in which LB 2 LC. D is a point on BC such that ADbisects (BAC and AB-CD Prove that LRAC = 72°. |
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| 2. |
Iwo adjacent angles of a parallelogram areand (3x-5)o. The value of x is |
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Answer» (2x+25)+(3x-5)=180[sum of adjacent sides of ||gm is 180.]-> 5x+20=180-> 5x=160-> x=32 NOW,... (2x+25)=(2*32+25)=89(3x-5)=(3*32-5)=91 TO check-89+91=180 |
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| 3. |
19. A diagonal of a quadrilateral is 26 cm and the perpendiculars drawn to it from the oppostevertices are 12.8 cm and 11.2 cm. Find the area of the quadrilateral. |
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Answer» *72* is the largest size |
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| 4. |
E is the mid-point of side BC of a ΔABC, such that the perpendicular from E on the sides AB and AC are equal. Show that AE bisects Angle BAC |
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| 5. |
Fig. 11.33ABCD is a parallelogram. AP bisects ZA and CQ bisects C. P lies on CD and olies on AB. Show that-(i) AP CQ(ii)AQCP is a parallelogram. |
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Answer» can you give me a detailed and proper solution |
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| 6. |
le23sp is a pointe elintant from two lines lend m intersecting atpuntEvaExample 8:238). Show that the line AP bisects the angle betwcen them |
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| 7. |
AC. ProveIn AABC, D is any point in the interior of AABC such that DBC <DCB and ABthat AD bisects <BAC.CB and AB |
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Answer» Given ∠DBC = ∠DCB .....(1)so, BD = DC .....(2) Given : AB = ACSo, ∠ABC = ∠ACB ....(3) Consider (3) - (1)So,∠ABD = ∠ACD .....(4) In ∆ ABD and ∆ ADC,AB = AC∠ABD = ∠ACD from (4)BD = DC from (2) By SAS rule ∆ ABD and ∆ ADC are congurent so ∠BAD = ∠CAD .So, AD bisect ∠ BAC Thx |
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| 8. |
1, tanl°tan2°tan3°tan 4° ... (870 89% का मान होगा : . (b) 0. © L |
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Answer» Let's take tan 89 and tan 1 in the first case and Let's take Tan 2 and tan 88 in 2nd case:-By the Problem,[1st case]:-=) tan(90-89)tan89=) cot89 x tan89=) 1/tan89 x tan89 [tan89 will be canceled onboth the sides by multiplying]=) 1. Ans. By the Problem,[2nd Case]:-=) tan(90-88) tan88=) cot88 x tan88=) 1/tan88 x tan88 [tan 88 will be canceled onboth the sides by multiplying]=) 1.Ans. Therefore, if we go on doing this for every ratios...we will come to the answer 1 for each case.Hence, Answer = 1. |
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| 9. |
(c) 3The value of (sin? 10 + sin? 3° + sin sºsin-85° + sin 870-sin89°) |
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Answer» (sin^2 1° + sin^2 3° + sin^2 5° + sin^2 85° + sin^2 87° + sin^2 89°) Using, cos(90 - x) = sin xsin^2 x + cos^2 x = 1 = (sin^2 1° + sin^2 3° + sin^2 5° + cos^2 (90 - 85) + cos^2 (90 - 87) + cos^2 (90 - 89)) = (sin^2 1° + cos^2 1° + sin^2 5° + cos^2 5° + sin^2 3° + cos^2 3°) = 1 + 1 + 1 = 3 |
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| 10. |
2000 from a bank for 2 years at 12% per annum and? 3000 frorn his friend for2Sunil borrowedyears at 15% per annum. How much total interest did he pay?3, |
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Answer» 690 is the total intrest I = P*R*N/100so I1+I2=2000*12*2/100 + 3000*15*2/100=480 + 900 = 1380 |
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| 11. |
A diagonal of a quadrillateral is 26 em and the perpendiculars drawn to it from the opposttevertices are 12.8 cm and 11.2 cm. Find the area of the quadrilateral.19. |
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| 12. |
Use Euclid's division algorithm to find H.C.F. of 870 and 225. |
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| 13. |
Ravi's car travels 174 km on 120 litre of petrol. How much petrol is needed for travelling870 km? |
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| 14. |
olve the following questions: (Any iwo)) If 3x +5y 9 and 5x +3y 7, then what is the value of (x + y)? |
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| 15. |
pnuionm22by14m.Findtheheightof the platform.. Iwo cubes of volume 64cm2 are joined end to end. Find the volume of the sphere. |
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Answer» Like if you find it useful |
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| 16. |
20. The outer and the inner circumference of two concentric circles are 880 cm and 3082. Iwo croangles tof lenrespectively. Find the difference between their radii.cm |
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Answer» hit like if you find it useful |
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| 17. |
How much is the simple interest earned on R 75 for 3 months at 8 p.c.p.a.?(1) 1.05 (2) 18 (3) 15 (4) 1.503. |
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Answer» Principle is Rs 75Rate is 8% p. aTime is 3 monthsSo, Simple interest = P*R*T /100S. I. = 75 * 8 * 0.25 /100S. I. = 150/100S. I. = Rs 1.50 |
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| 18. |
Show that the perpendiculars drawn from the vertices of the base of an isosceles triangle to the opposite sides are equal. |
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| 19. |
8. If AP bisects angle BAC and M is any pointon AP, prove that the perpendiculars drawnfrom M to AB and AC are equal. |
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| 20. |
Which is the greatest among\sqrt{2}, \sqrt[3]{4} \text { and } \sqrt[4]{3} |
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| 21. |
Prove that the length of the perpendicularsdrawn from vertices of equal angles of anisosceles triangle to the opposite sides are equal. |
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| 22. |
Which is the greatest among \sqrt{2}, \sqrt[3]{4} \text { and } \sqrt[4]{3} ? |
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| 23. |
Which is the greatest among \sqrt { 2 } , \sqrt [ 3 ] { 4 } \text { and } \sqrt [ 4 ] { 3 } |
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| 24. |
tnat.8. If AP bisects angle BAC and M is any pointon AP, prove that the perpendiculars drawnfrom M to AB and AC are equal. |
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| 25. |
. 4.PORS is a parallelogram, and PI and RM areand Rperpendiculars drawn from the vertices Pof the parallelograim on diagonal sQ. Show that |
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| 26. |
27. The probabilities of a problem being solved23by two students are Then the probabilityof the problem being solved is23 (b)43 (d) 1 |
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Answer» first case if both will solvethen 23/90=25 percentageif one will solve then probability 23/90(1-23/90)+(1-23/90)*23/90+23/9023/90*67/90+0.250.38+0.250.63 |
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| 27. |
fone diagonal of a quadrilateral is 40 cm, and perpendiculars drawn to it fromThe lensre 12 cm and 9 cm. Find the area of the quadrilateral.care IE |
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Answer» Let abcd is the quad.Then ac=40Broke the quad. into two ∆So ar(abc)=0.5*40*12=240cmAnd ar(ADC)=0.5*40*7.5=180cmAr(abcd)=240+180=420cm |
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| 28. |
Sandeep borrowed 3000 for 4 years and 800 for 2 years ftat the same rate of interest. The total interest earned by SoFind the rate of interest. |
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Answer» 2880=(3000×4×r)/100+(8000×5/2×r)/1002880=120r+200r=320rso r=2880/320=9% |
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| 29. |
89 : The line segment joining the mid-points of two sides of a triangto the third side. |
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| 30. |
The line segment joining the mid-points of two sides of a triangle is parallel to the third side |
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| 31. |
95. The H.C.F. of two numbers is 12 and their difference is also 12. Thenumbers are |
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Answer» Let numbers be12xand12ywherexandy are both co-prime numbers. ∴|12x-12y|=12 =>12|x-y|=12=>|x-y|=12/12=1 So there can be many possibilities, x = 2 , y = 1So they can be 24 and 12. x = 3 , y = 2So they can be 36 and 24. x = 5 , y = 4So they can be 60 and 48. |
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| 32. |
. Are the numbers 12, 18, 26, 39 in proportion ? |
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Answer» Yea they are in same proportionas12/18= 6/9= 2/3and26/39= 2/3so yesthanks |
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| 33. |
The HC.F of iwo numbers is 12 and their difference is also 12. Thenumbers areA) 66, 78(C) 94, 106(B) 70, 82(D) 84.96 |
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Answer» HCF is 12 so numbers should be multiple of 12 and difference is 12 so only possible pair among options is 84 and 96. |
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| 34. |
26. 24, 36 और 40 का ल० स० निकालिए -(a) 120 (b)240 (c) 360[RRB मुम्बई (Group 'D')-2003](d) 480 । |
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Answer» 360 is the right answer 360 is the correct answer of the given question 2|24|36|402|12|18|202| 6 | 9| 103| 3 | 9| 53| 1| 3| 55| 1| 1| 5LCM =2×2×2×3×3×5=360 360 is the answer..... 360 is the right answer. plz like my answer 360 is the correct answer |
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| 35. |
Are the numbers 12, 5 and 13 form a Pythagorean Triplet? |
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Answer» Yes they doas12^2+5^2= 13^2= 144+25= 169 |
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| 36. |
The greatest decimal among 3.109, 3.019,3.099and3.19 |
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Answer» Out of these numbers, 3.19 is the greatest. PLEASE HIT THE LIKE BUTTON |
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| 37. |
41 I3. The greatest among 41, 82, 36, 43, is |
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Answer» The greatest number among 41 82 36 43 is 82. |
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| 38. |
व कर लिन को & W 0 CRMTF 4 e A1. .... द्विधात समीकरण (» + 5)4 > 2 (5: - 8) F1 HEHH (discriminant) fafam |Write the discriminant of the quadratic equation (x + 5)% =2 (5x-3), |
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| 39. |
दड्े [2५ IPRRLIC kB12 112 2P I %8 RIS ‘I3 0000/ Lmikaic | 2312 1 "G |
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| 40. |
10. Mr. Britto deposits a certain sum of money eachmonth in a Recurring Deposit Account of a bank. Ifthe rate of interest is 8% per annum and Mr. Brittogets 8088 from the bank after 3 years, find thevalue of his monthly instalment. aCSE 2013)Hint. Type Solved Ex. 4]Mohfor 213.120 |
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Answer» Like my answer if you find it useful! |
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| 41. |
1. Find the vector in the direction of the vector i - 2 j that has magnitude 7 u |
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| 42. |
5. Find the area of a quadrilateral one of whose diagonals is 40 cm and the lengths of thperpendiculars drawn from the opposite vertices on the diagonal are 16 cm and 12 cm. |
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| 43. |
2. What will be the simple interest earned on an amount of Rs. 16,800 in 9 months athe rate of 6-% p:a. ?(a) Rs. 787.50 (b) Rs. 812.50 (e) Rs. 860(d) Rs. 887 |
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| 44. |
The perimeter of a rhombus is 180 cm and one of its diagonals ls 12 ll.Tliof the other diagonal and the area of the rhombus.3. |
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| 45. |
Find the area of the fig., formed by joining mid points of adjacent sides of a rhombus withdiagonal 12 cm and 16 cm |
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| 46. |
-CONILIULUI 1110017. Find the least square number which is exactly divisible by each of the numbers 6, 9, 15and 20. |
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| 47. |
9. Find the least number which is exactly divisible by each one of the numbers 12, 16 and 24.-Lanthanne of 15 20 and 20toner |
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Answer» 48 will be the right answer of this question 12/2=6/2=3; 16/2=8/2=4/2=2; 24/2=12/2=6/2=3; 3x3x2=18 |
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| 48. |
240()360() 440 i |
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| 49. |
Question 12:Let f: X - Y be an invertible function. Show that the inverse of f1 is f, i.e.,(F1)-1 = f. |
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| 50. |
ika Golden Solved Question Bank(Check the continuity of the function defined asunder atx-J.)x+3f(x)-2x36x +2 x23 |
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