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.
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2. Add the following:(a) 3ab, -4ab, 7ab, -5ab |
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Answer» The answer of the following is 1ab 3ab + (-4ab) +7ab+(-5ab)=3ab-4ab+7ab-5ab= -ab +2ab= ab The correct answer is 1ab. the answer of the following is 1ab |
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| 2. |
8. Cost of a caris24.50.000 in year 2008. Price of ear is reduced by 30,000 in 2009. Find thereduction per cent on car.allou find the quantity ofObjec |
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Answer» =(30000×100)/450000=3000000/450000=300/45=60/9=15% is the right answer. |
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| 3. |
Заー2b-ab-(a-b+ab) +3ab + b-a |
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| 4. |
3a–2b–ab(a–b+ab)+3ab+b–a |
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Answer» 3a-2b-ab(a-b+ab)+3ab+b-a3a-a-2b+b-a²b+ab²+a²b²+3ab2a-b-a²b+ab²+a²b²+3ab |
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| 5. |
A reduction of 20% in the price of sugar enables a purchaser to obtain 2 1/2 kg morefor₹160. Find the original price per kg of sugar. |
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Answer» The extra 2.5 kg is obtained because of 20 reduction in price i.e. 20% of 160 = 32 rs.Reduced price 1 kg = 32/2.5 = 12.80 rs.So answer is 12.80 rs.And original price :-20% reduction price means you pay 80% of the original price80% of original price = 12.80 rs/kg100% of o.p. =16 rs/kg. |
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| 6. |
D)Z370Q.14. Areduction of21 % in the price of wheat enable a person to buy 10.5 kg more for Rs 100 whatis the reduced price per kg? |
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Answer» Let in 100 Rs person can buy x kg wheatAfter 21% reduction person can buy (x + 10.5) kg in 100 rs So,10.5 kg wheat cost Rs 21Then 1 kg cost = 21/10.5= Rs 2 |
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| 7. |
1456× 123 |
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Answer» 179088 is the right answer 179088 is the right answer 1456×123=1790088 is the correct answer of the following question. |
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| 8. |
13. If the squared difference of the zeros of the quadratic polynomial f(x)-x+px+45 isequal to 144, find the value of p |
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| 9. |
329गे ६श..श. २०३५१, का, 2 |
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Answer» 329/400 = 0.8225 If you find this answer helpful then like it. |
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| 10. |
4x + 329 एवं 3x +6=8 को हल करें। |
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| 11. |
The excise duty on a certain ltem has been reduced to 760 from 950 Find the reductionper eent in the excise duty on that item |
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| 12. |
if x cube +x squared -2x-3=(x-2)(x squared +ax+b)+5, then find a and b. With proper explanation |
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Answer» x³+x²-2x-3=(x-2)(x²+ax+b)+5 =x³+ax²+bx-2x²-2ax-2b+5a-2=1a=3B-2a=-2B=-2+2a=4 But i want with steps |
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| 13. |
D/fa+b+c#0then prove that(b+c)2+_+ (a+b)2-1.c+a3ca3ab |
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Answer» HIT THE LIKE BUTTON IF YOU ARE SATISFIED (b+c)²/3bc+(c+a)²/3ac+(a+b)²/3ab =(b²+2bc+c²)/3bc+(c²+2ac+a²)/3ac+(a²+2ab+b²)/3ab =(ab²+2abc+ac²+bc²+2abc+a²b+a²c+2abc+b²c)/3abc ={ab(a+b)+bc(b+c)+ac(a+c)+6abc}/3abc=(-abc-abc-abc+6abc)/3abc [∵, a+b+c=0,∴,a+b=-c,b+c=-a,a+c=-b] =(6abc-3abc)/3abc=3abc/3abc=1 (Proved) |
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| 14. |
Numbers a and b both squared and added |
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Answer» squared numbers are a^2 and b^2 now adding them, gives a^2+b^2 thanks |
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| 15. |
329/400 |
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Answer» 0.8225 is the answer here is your answer 329/400 = 0.8225hope its help you correct answer is 0.8225 |
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| 16. |
SE329in decimal form.400 |
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| 17. |
(a) Define Tower of Hanoi problem as a recurrence relation problem(6 marks)and solve it through a recurrence tree. |
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Answer» The tower of hanoi is a mathematical puzzle. It consists of three rods, and a number of disks of different sizes which can slide onto any rod. The puzzle starts with the disks in a neat stack in ascending order of size on one rod, the smallest at the top. We have to obtain the same stack on the third rod. |
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| 18. |
\begin{array} { l } { \text { A and } \mathrm { B } \text { shared a profit of } 24500 \text { rupees } } \\ { \text { in the proportion } 3 : 7 \text { . Each of them gave } } \\ { 2 \% \text { of his share of the profit to the } } \\ { \text { Soldiers' Welfare Fund. What was the } } \\ { \text { actual amount given to the Fund by each } } \\ { \text { of them? } } \end{array} |
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| 19. |
BThem fa ifinite gometric series is 8. If its second term is 2,nsfirdcommon ralio. |
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Answer» thanks sum of infinite series = a/(1-r) so, a/(1-r) = 8 and second term is =ar = 2 a = 2/rso, 2/r(1-r) =8 => 1/r(1-r) = 4=> r-r² = 1/4 so, 4r²-4r+1 = 0r = 1/2. |
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| 20. |
hich one of the following is the correct set-up for studying thedependence of the current on the potential difference across a resistorand why ? |
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Answer» The option (A) is the correct answer. |
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| 21. |
The 8th term of an A.P. is 32 and its 12th term is 52. Find the A.P. |
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Answer» let rstterm of this A.P. be a , commom difference be dNow, nth term of A.P. is given by:a+(n-1)dso, its 8th term = a+(8-1)d = a+7dbut 8th term of A.P. is 32so, a+7d = 32 ...(1)similarly, 12th term = a+(12-1)d = a+11d = 52so, a+11d= 52 ....(2)Subtracting eq (1) from (2),a+11d - (a+7d) = 52 - 32=》4d = 20=》d= 5putting the value of d in (1),a+7d = a+7×5 = 32=》a+35 = 32=》 a = -3Now, a = -3 and d = 5so, second term of A.P. = a+ d = -3+5 = 2similarly 3rd term = a+2d = -3 + 5×2 = 7so, Required A.P. is : -3,2,7,12,17 ........ |
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| 22. |
28 Find the 10th term of a sequence whose 7ih and 12thterm are 34 and 64 respectively |
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Answer» 7th terma + 6d = 34........ (1) 12th terma + 11d = 64......(2) eq(2) - eq(1)(a+11d) - (a+6d) = 5d5d = 64-34 = 30d = 6 Put value of d in eq(1)a + 6*6 = 34a = -2 Therefore, 10th term = a + 9d = -2 + 10*6 = 58 |
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| 23. |
Find the 12th term from the end in the AP 56,63,70.........329. |
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| 24. |
Find the five irrational numbers between and |
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Answer» 6/31,6/32,6/33,6/34,6/35 |
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| 25. |
120 44 से विभाजित होने पर एक संख्या, भागफल के ।रूप में 432 और शेषफल के रूप में 0 देती है। उसीसंख्या को 31 से विभाजित करने पर शेषफल क्या।होगाA. 5B. 3.4D. 6 |
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Answer» thnks |
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| 26. |
Find the five irrational numbers betweendut |
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| 27. |
?43267. Mangoes are sold at? 432 per kg. What is the weight of mangoes available for |
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| 28. |
583.50, find4.A store has 432 dresses for girls. 11 the cost of each dress iscost of all dresses. |
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Answer» Cost of all dresses ₹2,52,072 |
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| 29. |
A river 10 meters deep and 100 meters wide is flowing at the rate of 4.5 km per hour. Find howmany cubic metre of water runs into the sea per second.4. |
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| 30. |
Find the measure of the side of a square handkerchief of area 324 cm. |
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Answer» Area of square = side²so side =√areaa= √324a= 18 |
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| 31. |
10. The area of a square field is 324 m2.Find the perimeter in cm |
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Answer» Area = 324 sq.m. so each side is 18m Perimeter = 4(18) = 72m |
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| 32. |
| १०2 5n6 Sclan-e)len - गे.(७८90 -9) (७४७9 (ot (0-0) |
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Answer» sec(90-A)=cosecAcosec(90-A)=cosecAcot(90-A)=tanAtan(90-A)=cot AhencesinA*cosecA*tanA/cosecAcosA*tanA-tanA/cotA=tanA/cotA*tanA-tan^2A=tanA-tan^2A |
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| 33. |
Two sides of a triangular field are 85 m and 154 m in length and itsperimeter is 324 m. Find (i) the area of the field and () the length of the perpendicular from the opposite vertex on the side measuring 154m |
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| 34. |
o. The population of a village is 4000. There isrequirement of 150 l water per person dailyThere is a water tank of dimensions 20 mx15 m× 6 m in village. For how many days water ofthis tank will sufficient. |
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| 35. |
8. Two sides of a triangular field are 85 m and 154 m in length and itsperimeter is 324 m. Find (i) the area of the field and (ii) the length of theperpendicular from the opposite vertex on the side measuring 154 m. |
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| 36. |
4324. Write the value of sec |
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Answer» sec(-43π/6)= 1/cos(43π/6)as cos(-x)= cosx= -1.15 |
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| 37. |
The distance from Marura's home to the river is 1 km 420 m. If she fetcheswater 3 times daily from the river, what distance does she cover:(a) every day?(b)in a week? |
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Answer» distance covered to fetch water one time =2×(1km420m) =2 km 840ma) distance covered everyday = 3×(2 km 840m) =6km 2520m = 8km 520m b) distance covered in a week = 7×(8km 520m) =56km 3640m =59km 640 m |
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| 38. |
lementaryangles,)arefind x.If the complement of an angle is equal to the supplement of the thrice of it. Find themeasure of the angle.9. |
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Answer» thanks |
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| 39. |
87. Two numbers x and y are re-spectively 20% and 50% morethan a third number. x is howmuch per cent of y? |
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Answer» let other no. be za/c to que, x=120/100(z) &y=150/100(z) 2y/3=5x/6y=5x/4So, x is 80% of y hope it helps u |
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| 40. |
There are two numbers 'x' and 'y'. Thesum of these two numbers is 22 andthe difference between them is 14.What will be the product of'x' and 'y'? |
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(1) 128 2) 5123) 354 4) 9983. The water tank with length 4 m breadth 1.5 the m is complesfilled with water. If it is to be compactising a bucket of pay meshow many times the bucket should be sed to empty the tank completely750 313004) 600 |
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Answer» length= 40dcmbreath= 15 dcmheight= 10 dcmcapacity of tank = l×b×h = 40×15×10 Lt = 6000 Ltno of times= 40×15×10/8 = 5×15×10 = 750 times |
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| 42. |
x , y , a , \text { and } b \text { if } \left[ \begin{array} { c c c } { 3 x + 4 y } & { 6 } & { x - 2 y } \\ { a + b } & { 2 a - b } & { - 3 } \end{array} \right] = \left[ \begin{array} { c c } { 2 } & { 6 } \\ { 5 } & { - 5 } \end{array} \right. |
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Answer» 3x+4y=2 x-2y=43x+4y+2x-4y=2+85x=10 so x=26+4y=2 so 4y=-4 so y=-1a+b=5 2a-b=-5a+b+2a-b=5-5=0so 3a=0 a=0 so b=5 |
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\begin{array} { c } { \text { Find the matrix } X \text { such that: } } \\ { Y = \left[ \begin{array} { c c } { 3 } & { - 2 } \\ { - 1 } & { 4 } \end{array} \right] \text { and } 2 X + Y = \left[ \begin{array} { c c } { 1 } & { 0 } \\ { - 3 } & { 2 } \end{array} \right] } \end{array} |
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| 44. |
\left[ \begin{array} { c c } { 2 x - y } & { 5 } \\ { 3 } & { y } \end{array} \right] = \left[ \begin{array} { c c } { 6 } & { 5 } \\ { 3 } & { 2 } \end{array} \right] |
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| 45. |
(c)SP = Rs.4325, gain = Rs. 432, CP = |
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Answer» Gain = SP - CP CP = SP - Gain = 4325 - 432 = 3893 |
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| 46. |
2. Find the HCF of 30, 72 and 432. |
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| 47. |
1. Construct the following quadrilaterals,(i) Quadrilateral MOREO=6cmOR = 4.5 cm0 105°R 105° |
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| 48. |
len wir him?9. If of a number exceeds its ? by 44, find the number.of the nectators were in a coV |
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| 49. |
कर िस्वीकरण 16: + 86:८2 - 176: + 105 - 0 को हल कीजिए,1 और के दो मूल हैं। . = v |
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Answer» If you like the solution, Please give it a 👍 |
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| 50. |
5, ABCD is a square with side 2/2 em and inscribed in a cirole.In FigureFind the area of the shaded region. (UseT 314) |
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