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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. |
1. What amount of moneyshould Mohan invest in a bank in order to get? 1 323 in 2 years at 5% cornpoun bl |
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Answer» Amount=principle *(1+5/100)^21323=p*(105/100)^2(1323*100^2)/105^2=p1200=p |
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| 2. |
: What amount of money should Mohan invest in a bank in order to get13231n 2 years at 5% comannually?Find the cum ulu' 1 |
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Answer» 1323 = P(1+5/100)(1+5/100) 1323 = P*1.05*1.05 P = 1200 thank you |
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| 3. |
A moving boat is observed from the top of a 150 m high cliff moving away from thecliff. The angle of depression of the boat changes from 60° to 45° in 2 minutes. Findthe speed of the boat in m/h. |
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| 4. |
(1) A moving boat is observed from the top of a 150 m high clif moving away from ecliff. The angle of depression of the boat changes from 60 to 45° in 2 minutes. Findthe speed of the boat in m/h. |
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| 5. |
frommoving boat is observed from the top of a 150 m high cliff moving away tdliff. The angle of depression of the boat changes from 60째 to 45째 in 2 minutes. Fthe speed of the boat in m/h.CBSE 2 |
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Answer» Find the distance of boat from cliff when angle of elevation is 60° by taking tan60 = height of cliff /distance between boat and cliff it is found that it is 50√3 now in the same way taking angle of elevation as 45°find distance of boat when it is 45 °from the cliff. on finding distance = 150 m now find the distances between two position of boats which is 150-50√3 = 50(3 -1.732) = 63.4the boat travels 63.4 m in 2 min or 120 sec:. speed of boat = distance / time itis wanted m/hr:. answer should be multiplied by 3600=63.4×3600/120 =1902 m/hr |
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| 6. |
(1) A moving boat is observed from the top of a 150 m high cliff moving away from thecliff. The angle of depression of the boat changes from 60° to 45° in 2 minutes. Findthe speed of the boat in m/h. |
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| 7. |
11. What amount of money should Mohan invest in a bank in order to get1323 in 2 years at 5%compounded annually?t 404 compound intenest |
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| 8. |
AERCISE 9 (C)y should Mohan invest in a bank in order to get?! 323 in 2 yearsWhat amount of moneannually?1.at 5% compoundednts toき1352 in 2 years at 49/ |
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| 9. |
What is the smallest number by which 675 should be multiplied so that the product is a perfect cube?interest cube? |
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Answer» factors of 675 are :- 5*5*3*3*3 .... to make it a perfect cube it should be multiplied by 5.... so that it becomes 3375 which is cube of 15 |
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| 10. |
Ä°fthe functionf(x) satisfies limf(x)-2=Ď, evaluate limf(x).31. |
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| 11. |
f (x)-22,2-一= π , evaluate lim f (x)31. If the function ffx) satisfies lim.x→1 |
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| 12. |
ple 5: Find the positive value of x which satisfies the equation,\frac{x^{2}+5}{2-x^{2}}=-\frac{3}{2} |
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Answer» cross multiply this 2(x^2+5)=-3(2-x^2)2x^2+10=-6+3x^210+6=3x^2-2x^216=x^2x=4, -4Given x is positivetherefore, x=4 |
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| 13. |
Find the selling price if a profit of 5% is made on a cycle of Rs 900 with Rsover head charges.Find the cube root of 9261 by prime factorization methoo. |
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| 14. |
SURFACE AREAS AND VOLUMES (Mensuration)1974. A vessel in the form of an inverted cone, Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with waterup to the rim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped to the vessel, one-fourth of the waterflows out. Find the number of lead shots dropped in the vessel |
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| 15. |
2७७७० 22४ 22U kb ** २ हि RS S8Rby 00s 1 B R 2042 € BB B RS i |
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Answer» उसने कुल 2.250+3.000+0.25=5.5तेल लिया |
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| 16. |
Q. A person can hit the target 3 out of 5, whereas another personthe probability of the target hit at r"can hit the target 2 out of 3. Find |
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Answer» Probability of A hitting= 3/5probability of another person = 2/3hitting the target by boththen probability= 3/5*2/3= 0.4 P(A) = 3/5 (probability of A hitting)P(B) = 2/3 (probability of B hitting) Probability of target hit when both try = P(A) * P(B)= 3/5 * 2/3= 2/5 |
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| 17. |
२६५५ +09 -18 - 0६) 8६] * ८८(3 b bk [ BB |
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Answer» 72 / [ 38 - { 30 - ( 31 - 60/4 * 5)}]= 72 / [ 38 - { 30 - ( 31 - 15*5)}]= 72 / [ 38 - { 30 - ( 31 - 75)}]= 72 / [ 38 - { 30 - ( -44) }]= 72 / [ 38 - { 30 + 44) }]= 72 / [ 38 - { 74 }]= 72 / [ -36 }]= -2 |
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| 18. |
/ €2 1beb db Bk Ik Lhke kbl 3k | Rk22 Bim b 35 220k S0 व: के हर b 2B कप ४ ७128 & BB (%) |
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Answer» क्षेत्र फल के बराबर की घास चर सकती है πr^2= 22/7*10.5*10.5346.5m^2 |
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| 19. |
ile debt?4. -A sum, lent at 18.5% for 4 years, earns thesam e interest as a sum ofき6400, lent at 5%for 4years, earns. Find the sum.2 |
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| 20. |
A iron right circular cone of diameter 8cm and height 12cm is melted and recast into spherical lead shots each of radius 4mm.How many lead shots can be made ? |
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| 21. |
19.An anti-aircraft gun can take a maximum of 4 shots at an enemy plane moving away from itThe probability of hitting the plane at the first, second, third and fourth shot are 0.4,0.3,0.2,and 0.1 respectively. What is the probability that the gun hits the plane? |
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| 22. |
By selling an article for Rs. 500, a profit 12 1/2 % is made. Find the cost price of the article. |
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| 23. |
5. An aeroplane can carry a maximum of 200 passengers. A profit of Rs 1000made on each executive class ticket and a profit of Rs 600 is made on eadteconomy class ticket. The airline reserves at least 20 seats for executive cHowever, at least 4 times as many passengers prefer to travel by economy clasthan by the executive class. Determine how many tickets of each type must besold in order to maximise the profit for the airline. What is the maximumprofit |
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| 24. |
Find the sum which earns an interest of 2,000at 5% p.a. for 4 years. |
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Answer» 10,000 is the best answer 10000 is the answerP=100xS.I/RxTP=100x2000/5x4=200000/20=10000 |
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| 25. |
Find the percent rate of interest at which Rs. 675 earns simple interest of Rs168.75 in 4 years? |
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| 26. |
J1. The students of a Vidyalaya were asked to participate in a competition for making anddecorating penholders in the shape of a cylinder with a base, using cardboard. Eachpenholder was to be of radius 3 cm and height 10.5 cm. The Vidyalaya was to supplythe competitors with cardboard. If there were 35 competitors, how much cardboardwas required to be bought for the competition?cnmhe |
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| 27. |
Bank PO(c) Rs. 35014. A certain amount earns simple interest of Rs. 1750 after 7 years. Had the ibaen z sr how much more intbrml woau d it have edfrneB(a) Rs. 35(d) Cannot be determined(b) Rs. 245(e) of these |
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| 28. |
A coin is tossed 5 times. Find the probability of getting (i) at least4 heads, and (ii) at most 4 heads. |
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Answer» when a coin is tossed 5 times; number of possible outcomes = n(S) = 2^5 = 32. Now, more than 3 heads mean: (4 Heads + 1 Tail) and (5 Heads + 0 Tail). Now, (4 Heads + 1 Tail) can be obtained from [(5C4)*(1C1)] = 5 outcomes Also, (5 Heads + 0 Tail) can be obtained from [(5C5)] = 1 outcome 1)(1+5)/32=6/32=3/162)31/32 |
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| 29. |
EXERCISE BAdd the following.(a) 13xy,26xy,-14xy(b) -3pqr,17pqr,29pqr(c) 8a + b,37b + a,15a + b(d) (6x +4yz +16za), (25x - 2yz +11za) |
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| 30. |
14. A can hit a target 4 times in 5 shots, B 3 times in 4 shotsThey fire a volley. What is the probability that two shots at least hit.twice in 3 shots. |
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Answer» A's prob of hitting shot = 4/5B's prob of hitting shot = 3/4C's prob of hitting shot= 2/3probability that atleast two shots hit = 4/5 * 3/4 + 3/4*2/3 = 2/3 * 4/5 = 3/5 + 1/2 + 8/15 = 49/15 |
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| 31. |
Construct an m * n matrix A = [aij], where aij is given by(i) aij=(i-2j)²/2 with m=2,n=3(ii)aij= |3i-4jl/4 with m=3,n=4 |
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| 32. |
8.二f(x) =(1 + tanx)aij (4) |
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| 33. |
LNt 1Dl BIE Ll [k S0} PR kR b 2k ] b i B2 3015 '1D8 e [k S Wik S bk 13 Wik kb BB b (k) 09 f Bl bk S (B 0 T |
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Answer» चाल बराबर दूरी / समयमाना चाल x किलोमीटर प्रति घंटा है Let the original speed of the train be x km/h.Time taken to cover a distance of 360 km = 360/x hours. दूरी कवर करने में लगा समयNew speed of the train = (x+5) km/h.Time taken to cover a distance of 360 km at new speed = 360/x+5 hours.Since, the train takes 1 hour less time,∴ 360/x - 360/ x+5 = 1⇒360 (x+5-x)/x(x+5) = 1⇒360 (5) = x² + 5x⇒1800 = x² + 5x⇒x² + 5x - 1800 = 0⇒x² + 45x - 40x - 1800 = 0⇒x (x+45) - 40( x +45) = 0⇒(x+45) (x-40) = 0⇒x = (-45), 40But since speed cannot be in negative.∴ x = 40 km/hr.Hence, the original speed of the train is 40 km/h. |
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| 34. |
aeroplane can carry a maximum of 200 passengers. A profit of Rs 1000 isnade on cach executive class ticket ánd a profit of Rs 600 is made on eacheconomy class ticket. The airline reserves at least 20 seats for executive class.However, at least 4 times as many passengers prefer to travel by economy classthan by the executive class. Determine how many tickets of each type must besold in order to maximise the profit for the airline. What is the maximum profit?so |
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| 35. |
14. A can hit a target 4 times in 5 shots, B 3 times in 4 shots C twice in 3 shots.They fire a volley. What is the probability that two shots at least hit. |
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Answer» A's prob of hitting shot = 4/5B's prob of hitting shot = 3/4C's prob of hitting shot= 2/3probability that atleast two shots hit = 4/5 * 3/4 + 3/4*2/3 = 2/3 * 4/5 = 3/5 + 1/2 + 8/15 = 49/15 |
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| 36. |
Find the four numbers in A.F, whose sum is 50 and in which the greatest number is 4 times theleast.25. |
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| 37. |
5. An aeroplane can carry a maximum of 200 passengers. A profit of Rs 1000 isexecutive class ticket and a profit of Rs 600 is made on eacheconomy class ticket. The airline reserves at least 20 seats for executive classHowever, at least 4 times as many passengers prefer to trayel by economy classthan by the executive class. Determine how many tickets of each type must behat is the maximum profit?sold in order to maximise the profit for the airline. Wh |
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| 38. |
Find the acute angle between the lines ax + by c0 and (a + b)x (a bly where (a bl |
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| 39. |
of afind the valueand b if5tJM at Jib.3-2 J1 |
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| 40. |
all-dhe-Jatte.ĺa.wandScience}15 R.EU15--BEU-b1_A,3 ?ěal |
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Answer» U = { S, I, E, N, C }A = {I, E}B = {S, C, N }i) yes A is subset of U as every element of A is element of U ii) Yes B is subset of U |
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| 41. |
Al लालि. (उर्लनकल, न". 280 35 )= 15 |
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Answer» x-380-x/20= 76x-x/20= 380+7619x/20= 45619x= 456*20x= 456*20/19x= 480 |
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| 42. |
a:b 2:3, dlcil.alus 6.14 |
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| 43. |
20. If € = 60°, verify the following:(9) sin e-(i) sin 0 =tanJ1 + tan? 0(ii) tan 6 =11- cos? 0cos |
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Answer» sin60=√3/2tan60=√3hence tan60/√1+tan^260√3/√1+3√3/2hence verified |
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| 44. |
0. Simplify the following:ပါ |
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Answer» Correct Ans = 3/52 Please like my answer.. 1/16 is the right answer 3/52 is the correct answer 3/52 it is the right answer...... -3/5+(-12/35 +1/28)= -3/5+(-12×28/35)=-3/5+-336/35= -3/1×7/336=-112/7=-16 |
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| 45. |
Q. 14. Write the element a23 of a 3 _ 3 matrix A = (aij) whoseelements aij are given by aij = | i-j1/2 |
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Answer» For a23, i=2, j=3a23 = |2-3|/2 = |-1|/2 = 1/2. Hope it helps.Mark as best if I am correct. 1/2 is the correct answer 1\2 is the right answer of the following |
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| 46. |
dydxxx 10g x--+ y =-log x |
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Answer» xlogx dy/dx + y = 2/x . logx dividing throughout by xlogx to make it in standard form since it is a linear differential equation dy/dx + y/xlogx = 2logx/x²logx P = 1/xlogx Q = 2/x² integrating factor (IF)= e∫P= e∫1/xlogx= elog(logx)logx solution: y . IF = ∫Q.IF dxylogx = ∫2/x2 . logx dxlet log x = t => x = et1/x dx = dt => ylogx = 2∫t.etdtylogx = 2[t∫etdt -∫(d/dx t . ∫etdt) dt]ylogx = 2[t.et- ∫1.etdt]ylogx = 2[t.et- et] replacing tylogx = 2[logx.elogx- elogx] |
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| 47. |
16.Total surface area of Hemisphere whose radius is 10.5 cm is |
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Answer» The surface area of a hemisphere is 3πr^2So, the answer will be 3 * 22/7 * (10.5) * (10.5) = 99*10.5 = 1039.5 |
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| 48. |
i, te rate ot poising 1sa circular card sheet of radius 28 cm, two circles of radii 7 cm and a rectangle of length 3 cm andFrom a& readth 2 cm are removed. Find the area of remaining sheet. |
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Answer» area of circular card sheet =πr^2=22/7× 28×28=2464 sq.cmNow, area of two smaller circles that was cut=2×π ×r^2=2×22/7×7×7=308sq.cmThen, area of rectangle that was cut= L×B=3×2=6sq.cm hence,the area of remaining sheet = area of circular card sheet - area of two smaller circles+area of rectangle= 2464-308+6=2152sq.cm |
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| 49. |
equation-1S |
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| 50. |
Sum of al even numbers betweenand 150(2) Find the sum of |
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