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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. |
2.0 is the centre of the circle and AB is a chord. AC is the bisector of <OAB,<OAB=56a)Prove that OC and AB are parallel.b)Find <ABC and <OBE,B |
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Answer» Given:OisthecentreandABisachord.ACisthebisectorof∠OABwhichis56°. ToProve:OC∥ABthenToCalculate:∠ABCand∠OBE. Solution:SinceACistheanglebisectorof∠OAB=56° ⇒∠OAC=∠CAB=562=28° Now,fromarcBC⏜ ⇒∠BOC=2∠CAB(Anglesubtendedbyanarconcentreisdoubletheanglesubtendedoncircumference) ⇒∠BOC=2×28°=56° Now,OA=OB(Radiusofthecircle)so,△OABisisosceleswithOA=OBso,∠OAB=∠ABO=56°Now,since,∠ABO=∠BOC=56°⇒Alternateinterioranglesareequal⇒OC∥ABNow,in△OBCOB=OC(Radius)⇒∠OCB=∠OBC⇒∠BOC+2∠OBC=180°⇒56+2∠OBC=180°⇒2∠OBC=180°-56°⇒2∠OBC=124°⇒∠OBC=124°/2⇒∠OBC=62°Now,∠OBA+∠OBC+∠CBE=180°(anglesonastraightline)⇒56°+62°+∠CBE=180°⇒∠CBE=180°-56°-62°⇒∠CBE=62°Now,Requiredangles∠ABC=∠ABO+∠OBC=56°+62°=118°∠OBE=∠OBC+∠CBE=62°+62°=124 |
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| 2. |
What is the full form of RCC |
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Answer» Please specify a field when asking questions.As I have read your previous question I the RCC there stands for Reinforced Cement Concrete. REINFORCED CEMENT CONCRETE |
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| 3. |
R(=St v 1), 5 s 1) |
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| 4. |
7. The denominator of a rational number is greater than its numerator by 8. If thenumerator is increased by 17 and the denominator is decreased by 1, the numberobtained isFind the rational number. |
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| 5. |
AnstberthejolloiwingihhotmorethuTowS.1. How did Vilasrao Salunkhe solve the water crisis in Naigaon? |
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Answer» Vilasrao Salunkhe took 16 hectares of uncultivable land on a Hillside and lease from the Temple Trust of Naya Gaon a drought prone village he and his family shifted to Pune city to live in a hut on the land with the help of final year of engineering students and retired engineers he raised bumps along Hillside to trap rainwater and stop soil erosion he also constructed percolation tank at the base of the hill and a well for drawing water further down water wash pump out of the well to irrigate the farm Area on the hill slope |
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| 6. |
water flows at the rate of 10 m per minute through a cylinder pipe 5 mm is is diameter how long world take to fill up chronicle glass |
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| 7. |
find the value of under route 5 of the power - 2 |
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Answer» (√5)⁻² = 1/√5*√5 = 1/5 |
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| 8. |
lll & humber lying between 2 and 6, (i) an odd numbet.(i) a prime minitecard is drawn from a well-shuffled dock of $2 gard, Find the probabiliy(B) tace card.?!(m) ared face cardof red color.(iv) thejack of hearts:,,(v) a spades--(v) the queen of diamonds n |
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| 9. |
4. In the given figure, if POR is a tangerit to the circle at Q. whose centre is O and ABchord parallel to PR such that BOR = 70, then find aAQB. |
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| 10. |
each of the following find an equivalent form of the rational numbetdenominatorsomOandand1112(11)7 8 14 and2021ANSWERS |
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| 11. |
circle is 1vzcA vessel in the form of an inverted cone of height 8cm and radius 5cm is filled with water onkoWhen lead shots of radius 0.5cm are dropped into tihe verzel, ene fourth of water flows ou:, firet thunumbet of lead shots dropped.trutht in niht fdes. Each student was given of cuboid e |
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Answer» Let radius of cone, R = 2.5 cm, radius of shots, r = 0.25 cm,height of cone, H = 11 cm, Number of lead shots = n.Volume of n shots = volume of water that flows outn×4/3πr^3 = 2/5×1/3πR^2Hn = (2/5×1/3πR^2H)/(4/3πr^3)= (2R^2H)/(5×4r^3)= [2×(2.5 cm)^2×11 cm]/[5×4×(0.25 cm)^3]= [(2×25×25×11)/100]/[(5×4×25×25×25)/1000000]= (22×10000)/(500) = 440. |
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| 12. |
A farmer connects a pipe of internal diameter 25 cm from a canal into acylindrical tank in his field, which is 12 m in diameter and 2.5 m deepIf water flows through the pipe at the rate of 3.6 km/hr, in how muchtime will the tank be filled? Also, find the cost of water if the canaldepartment charges at the rate of 0.07 per m3.ее[CBSE 2009C] |
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| 13. |
36.What least nuexactly divisible by 87?(A) 49(C) 29mber must be subtracted from 13601 to get a number(B) 23(D) 31 |
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| 14. |
The place nearer to railway routePattadakallu or caves of Badami1.[ |
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Answer» caves of badami are the nearest to railway routes. |
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| 15. |
Datehave brought an article of Z 2000. He spent17200 on its rebuilt and Z 100 en colou41 * 1300. Find his gaitekloss bercent |
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Answer» There was no profit at all and no loss too. Solution- he brought the article at rs.1000 and he spent rs. 200 on its repair and rs 100 in colour and sold it in rs.1300 =1000+200+100=1300=1300-1300 which is equal to 0. Therefore ,it was no gain or loss. their is no gain no loss |
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| 16. |
A farmer connects a pipe of internal diameter 20 em from a canal into a cylindrical tank iher field, which is 10 m in diameter and 2 m deep. If water flows through the pipe at thrate of 3 km/h, in how much time will the tank be filled? |
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| 17. |
3. By what number should 1365 be divided to get 31 as quotient and 32 |
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| 18. |
By what number should we multiply -6/11 to get -32/11 |
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Answer» x*(-6/11)=(-32/11)so x=32/6=16/3 |
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| 19. |
By what number should 1365 be divided to get 31 asquotient and 32 as remainder? |
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| 20. |
1.By what rational number shouldbe divided so as to get the quotient as - 32 |
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Answer» Let rational number be x that divided by 11/7 to get quotient as - 33/24 Hence,11/7 ÷ x = - 33/24x = 11/7 ÷ - 33/24x = 11/7 * - 24/33x = - 8/7 Therefore, - 8/7 should be divided by 11/7 to get quotient - 33/24 |
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| 21. |
Find the number) By what number should 1365 be divided to get 31 as quotient and 32 asremainder? |
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| 22. |
Watelarea will it irrigate in 30 minutes, ll 8 CIl9 A farmer connects a pipe of intemal diameter 20 cm from a canal intoher field, which is 10 m in diameter and 2 m deep. If water flowsrate of3 km/h, in how much time will the tank be filled?talthrough the pipe at the13.5 Frustum ofa Conebiects that are formed when two hag |
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Answer» If you find this solution helpful, Please like it. |
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| 23. |
If dhe roots of ihe gquation 12x +t50 areal and dfi ferent Find m |
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| 24. |
2. Adding 8 to double of a number, we get 32. Find the number. |
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Answer» Let that nomber is x. From eqution,2x+8=32.So2x=32-8=24because side change karne pr sign change ho jate h.So 32-8=24 Let the number be x.So, we can say double of this number is 2 × x = 2xSo, we can formulate as -2x+8=32or, 2x= 32-8or, 2x=24or,x=24/2or,x =12So the number is 12. let x be the numberaccording to question equation is made is like : 2x+8= 32: 2x= 24: x= 12. |
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| 25. |
1. What is gender? |
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Answer» Ans :- Gendermeans 'type'. It is a word commonly used for a person's sex (male or female). When people use the wordgenderin this way, it is often because sex has many other meanings, making it hard to understand. |
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| 26. |
SUUCH0theTick() the correct options:1. Which of the following substances turn blue litmus red?(a) basic(b) acidic (c) neutral(d) all of these |
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Answer» Blue litmus paper turns red under acidic conditions and red litmus paper turns blue under basic or alkaline conditions, with the color change occurring over the pH range 4.5–8.3 at 25 °C (77 °F).Neutrallitmus paper ispurple. Blue litmuspaperturns redunder acidic conditions acidic is the right answer acidic is the correct answer of the given question acidic is correct answer Acidic substance is correct answer |
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| 27. |
4 The lengths of the diagonals of a rhombus are 1s ein and 12 cm Then, ihe length of the sde of the rhombus Is(d) 20 cmtal 9 cm(b) 10 cnm(c) 8 em11 1B0 is ngt similar to A DEF, then which of the following is not irue? |
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| 28. |
ESTIONSthat is the purpose of preparing Bank Reconciliation Statement? |
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| 29. |
9 pgr (22 q - 3‘:” r 1 |
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Answer» 9pqr(2p^2 q - 3q^2 r)18p^3 q^2 r - 27p q^3 r^2 |
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| 30. |
Change the following products into sum or difference of t-ratios:()2sin 3θ cos θ(ii)sin 5θ sin 3θ |
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| 31. |
3. Muhammadbhai took a loan of 60o,o00 at9% ratehouse,If Prafulchandra took the same amount at same rateof compound interest and for the same time periodof simple interest for 3 years to repair hiswho will pay more interest and how much? |
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| 32. |
24, in the figure Δ ABC s drawn to circumscribe a circle of radius 4 cm such thatthe segments BD and DC are of lengths 8 cm and 6 cm respectively Find thesides AB and AC. |
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| 33. |
A triangle ABC is drawn to circumscribe a circleof radius 4 cm such that the segments BD andDC into which BC is divided by the point ofcontact D are of lengths 8 cm and 6 cmrespectively (see Fig. 10.14). Find the sides AEand AC |
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| 34. |
n Fig. 3, a right triangle ABC, circumscribes a circle of radius r. IfAB and BC are of lengths 8 cm and 6 cm respectively, find thevalue of rt, 3 |
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Answer» Like my answer if you find it useful! |
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| 35. |
A triangle ABC is drawn to circumscribe a circleof radius 4 cm such that the segments BD andDC into which BC is divided by the point ofcontact D are of lengths 8 cm and 6 cmrespectively (see Fig. 10.14). Find the sides ABand AC. |
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| 36. |
eoTICIISTTIaxIrnumhe perimeter of a triangle is 8 cm. If one of the sides is 3 cm, what are the other two sides fornaximum area of the triangle.[Ans.: 5/2 cm each] |
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| 37. |
4. The cost of 11 sofa sets of the same kind is 66,000. Whatamount will a tent house manager pay for 6 such sofa sets? |
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Answer» 1 sofa price = 66000 ÷ 11 = 60006 sofa = 6 × 6000 = 36000 |
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| 38. |
Category: MathematicsO 6/5O 4/3O 1/30 9/4 |
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Answer» 6 কোথা থেকে এসেছে |
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| 39. |
2.8) Find the area of triangle whose sides are 14 cm, 15 cm & 17 cm |
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Answer» semiperimeter s=(14+15+17)/2=46/2=23cmarea=root(23*(23-14)*(23-15)*(23-17)) =root(23*9*8*6) =root(23*9*16*3) =12root(69) |
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| 40. |
1. What will be the area of a triangle whose sidesare 13 cm, 14 cm and 15 cm? |
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| 41. |
3.2 The sides of a triangle are of lengths 8 cm, 15cm, 17cm. Find the area of the triangle |
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| 42. |
2.8-find the area of triangle whose sides are 14 cm, 15 cm & 17 cm |
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Answer» re |
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| 43. |
10. Mrs Sinha bought 4 litres of milk in the morning. There was litres left in the evening. How much milk waused during the dayInteractive Mathematics664 |
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| 44. |
p2_1prove that = sinoIf sec 0 + tan 0 = P then, prove that p + 1 |
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Answer» you may find in xam idea |
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| 45. |
p,Prove that |
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Answer» Lhs =cos 24+cos 55+cos 125+cos 204+cos 300= cos 24 +cos 55 +cos (180-55)+cos (180-24)+cos(270+30)= cos 24 +cos 55-cos 55-cos24+sin30=sin 30=1/2=rhs |
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| 46. |
Example-14 In right Δ ABC rightangled at C, AB = 10 units, BC = 8 units andZ ABC 0. Verify the identities(i) cosec-8-cor θ = 1(ii) 1 + tan2 θ = sec2 θ |
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| 47. |
find the area Triangle whose sides are 14 cm 15 centimetre comma 17cm |
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| 48. |
Example 8 : Find the roots of the equation 5r - 6x - 2 = 0 by the method of completingthe square. |
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Answer» 5x^2-6x-2=x^2-6/5x-2/5=x^2-2(3/5)x-2/5=x^2-2(3/5)x+(3/5)^2-(3/5)^2-2/3=(x-3/5)^2-9/23-2/5=(x-3/6)^2=14/25;; (x-3/5)=V14/5; x=3+-V19/5 |
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| 49. |
Example 8: Find the roots of the equation 5x-6x-2-0 by the method of completingthe square. |
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Answer» Thankyou The equation is 5x²-6x-2 = 0 => (√5x)²-2*(√5x)*(3/√5) +(3/√5)² = 2+(3/√5)² => (√5x-3/√5)² = 2+9/5 => (√5x-3/√5)² = √19/√5 => √5x -3/√5 = +√19/√5, -√19/√5 or√ 5x = (+√19/√5+3/√5, -√19/√5 +3/√5 so x =( 3+√19)/5 , (3-√19)/5 |
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| 50. |
In figure 2, AB is a straight line. Find x.आकृति 2 में, AE एक सरल रेखा है * का मान(10) |
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Answer» 7x+10+3x= 180 (linear pair) 10x+10= 18010x = 180-1010x = 170 x = 17 17 is the correct answer |
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