Explore topic-wise InterviewSolutions in Current Affairs.

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.

c. Solve for x & y8x 5y9

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8x + 5y = 9.....(1)3x + 2y = 4......(2)

Mutiply eq(1) by 2 and eq(2) by 5 and then subtract

We get,16x + 10y = 1815x + 10y = 20

x = - 2

Put value of x = - 2 in eq(1)8*-2 + 5y = 9-16 + 5y = 95y = 25y = 25/5 = 5

Therefore x = - 2, y = 5

2.

n the adjoining figure, plg. Find the unknown angles.125

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3.

A gardener bought 458 apple trees. He wants tplant 15 trees in each row. How many rows cahe plant?How many trees would be left over?

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As 450 is the nearest number divisible by 15Hence =450/15=30 rows Trees left over is 458-450=8 trees.

4.

25.APQR is right angled at Q.QXL PR, XY L RQ and XZ L PQ are drawn. Prove thatX22 = PZXZQ.

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5.

1Z A school wants to plant some trees in 53 rows. The gardener bought 15019 sapfrom a nursery. How many least number of saplings should he bring more soeach row has same number of trees?

Answer»

Number of rows = 53

Number of equal saplings on each row:

Number on each row = 15,019 ÷53 = 283 remaining 20

Find the number of saplings he need to buy to make another row:

Number of saplings = 53 - 20 = 33

Answer: He should bring in 33 more saplings to have 284 equal rows.

6.

probeblistic and deterministic inventory models with examples

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A deterministic mathematical model is meant to yield a single solution describing the outcome of some "experiment" given appropriate inputs. A probabilistic model is, instead, meant to give a distribution of possible outcomes (i.e. it describes all outcomes and gives some measure of how likely each is to occur).It should be noted that a probabilistic model can be quite useful even for a person who believes the entire universe to be deterministic. This utility arises because even a deterministic process may have so many variables that any model that attempts to account for them all is too cumbersome to work with. For example, a coin toss might be deterministic if one could precisely measure everything about the flip, the coin, the floor, the air currents, the tides, the precise location on earth, etc. In practice, this level of deterministic modeling is impossible, so stochastic models are used instead. On the other hand, if one takes quantum mechanics seriously, everything has some level of non-deterministic behavior.

Similarly, deterministic models can be used to great effect even in real-world process that is clearly stochastic. For example, the heat equation works great in many situations despite the fact that it ignores the "random" motion of the atoms involved. Usually, in these scenarios, the distribution of possible final answers is so sharply peaked (i.e. has such a small variance) that there is no need to complicate the model by forcing it to calculate the distribution rather than just a single value.

7.

- 16x² + 8x + 16

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x+4/x-4 is the answer

x+4/x-4 is the right answer

8.

Solve :3 ay t

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6y+2x=3xy/6=xy/2;; 3y+2x=xy;//2y=1; y=1/2; 3/x+2/2=0; 3=X

6y+2x=3xy/6=xy/2;; 3y+2x=xy;//2y=1;y=1/2;3/x+2/2=0;3=x

9.

उन्नघ9-3८058. Ay 0=18. IR Scot=3 wa PRबराबर है -

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10.

3x + 5x + x-8x = 0,

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3x + 5x + x - 8x = 0

8x + x - 8x = 0

x = 0

3x+5x+x-8x=0 9x -8x=0 x=0

11.

2(i) 4 x+8x

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4x^2+8x=4x(x+2) is the answer

12.

Solve x 8x 48 0

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13.

rties of TrianglesFind the unknown marked angles in Fig. 5 and 6:u) x70"Fig. 5

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i) x+x+ 70 = 1802x = 1802x = 110x = 55

ii) 2y + 90 = 180 2y = 180 2y = 90 y = 90/ 2= 45

14.

6.In Fig. 5. 10, ifAC = BD, then prove that AB = CD.Fig. 5.10

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AC = BDdeduct BC from bothso we getAC - BC= BD - BCAB = CD

15.

Fig 5.6. In figure 6, PQbisects ZPand ZQ.Show that PR PSand RQ SQ.Fig 6.

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16.

EPICLICUIUI.17/A school wants to plant some trees in 53 rows. The gardener bought 15019 saplingsfrom a nursery. How many least number of saplings should he bring more so thateach row has same number of trees?

Answer»

Number of rows = 53

Number of equal saplings on each row:

Number on each row = 15,019 ÷53 = 283 remaining 20

Find the number of saplings he need to buy to make another row:

Number of saplings = 53 - 20 = 33

Answer: He should bring in 33 more saplings to have 284 equal rows.

the right answer. is 33more saplings to have 284 equalrows

17.

a=2^{1 / 3}-2^{-1 / 3}, \text { show that } 2 a^{3}+6 a-3=0

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18.

4. In Figure 4.pllg and is a transversal such that Z1 135Find the measures of 22, 45, <6, <7 and <8.re 5, ABII CD and PQ is the transversal. Ifく1:22-32, finds. In Figure 5the measure of all theangles from 1 to 8.A 43 B359Fig. 4Fig. 5

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19.

If 8xπ, show that cos 7x + cos x = 0.

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20.

Show that sin 8r+ sin 2acos 2x -cos 8x2.cot 3r

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Sin8x + Sin2x/Cos2x - Cos8x>(2sin(x+y/2)cos(x-y/2))/(-2sin(x+y/2)sin(x-y/2)

>2sin5xcos3x/-2sin3x(-sin5x)>2sin5xcos3x/2sin3xsin5x>Cos2x/sin3x>Cot3x

21.

उनुगीलनी 1.11. ... उँठक्रिण्व कलनविधि वावडाब कवि 9.मां.छै. Shea—दी 135 =% 225 (1) 196 == 38220 |2 2 कि e e

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please jaldi

22.

1. Find the value of k when 1(x) is continuous at x -0,(1 - cos 4xwhere 1(x)= 8xIk = 1)80

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23.

the adjoining figure, m lln and p II q. If 475°,prove that 4241 + of a right angle.

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Please mention the figure!

24.

VAKRATUNDA CLASSESBldg No 13/115 1st kurMETRO1 Page :SiddhipateDLCursun or Hotel Bumba 400 022MathsI Lessons: 10and118th Eng. Med30 marks, los2Divide. Write the quotient and remainder. (6r(24 + 4 y2 + 3) - 24250 – 3x2 + x²D ( 21 x ² – 14x² + 7) + 713

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I am trying your questions answering

25.

Write down the abscissaand ordinate of thefollowing from fig 5.11.(i) P (ii) Q(iii) R . (iv) S.

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p=(-4,4) Q=(3,3) R=(4,2) S=(-5,-3)

26.

Saili plants 4 saplings, in a row, in her garden. The distance between two adjacentsaplings is - m. Find the distance between the first and the last sapling.)

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∆ 3/4 ∆ 3/4 ∆ 3/4 ∆so, 3/4×3=9/4

3/4, 3/4, 3/4 then 3/4×3= 9/4

9/4 is the correct answer of the given question.

27.

Lxercise 2.1. The HCF of 27 and one number is 9, and their LCM is 81. Find the other number2. The HCF and LCM of two numbers are 131 and 8253 respectively. If one of the numbers isfind the other.242

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We knowProduct of numbers a and b= LCM (a, b) * HCF(a, b)

(1) Let other number be x Then, 9*x = 9*27 x = 27 Other number is 27

28.

TRY THESEWhich of the following numbers would have digit(i) 192 ⓝ2426 at unit place.(ii) 26

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24 and 26

thanks

24² and 26² are the correct answer

29.

d the distances with the help of the number line given below-5 -4 -3 2 1 023 4 5 6Fig 1.5(ii) d(P, C)(vii) d(P, J)(iv) d3, H)(viii) d(), B)(B,E)(ii) dU, A)K, o) (vi) dO, E)

Answer»

Thanks

30.

6. A dlce is tossed twice. The prolbability of having a number greaterthan 4 on each toss is

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The sample space S is the following:

S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5), (5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

Now favorable event = (5,5)(5,6)(6,5)(6,6)total event= 36probability = 4/36= 1/9

31.

Express each of the following as the sum or difference of lines and cosines.(a) 2 sin 7rsinx (b) 2cos6.x cos 8x (c) 2cos9xsinx; (d) 2coe) sin 4xsin 5x

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1.

{As the formula of the picture, = 1/2 x 2 x cos (7x - x) - cos (7x + x )}= cos 6x - cos 4x

32.

(111)6 -8x , 6 -8y -oY g—.&—= AR e g, L

Answer»

24/6 = 4 এই প্রশ্নের উত্তর

33.

7. A coin is tossed twice. What are all possible outcomes?What is the probability of the coin coming up "heads"?

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We have4events :HH,HT,TH,TT. We have success, ifHH or,HT, orTH appears. Since all events have the same probability, the probability of success is 3/4.

34.

factories the following expressions4x² -8x+4

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35.

. A coin is tossed twice. If the outcome is at most one tail, wprobability that both head and tail have appeared?

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Maximum one tailH, HH, TT, HT, Tboth head and tail will come two times soprobability = 2/4 = 1/2

12 level question

36.

In the given figure, AB is adiameter of a circle withcentre O. If ADE and CBEare straight lines, meetingat E such that ZBAD 35°and LBED = 259, find() ZDBC (ii) ZDCB(ii) 2BDC.

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37.

6. Express the following rational numbers as decimals numbers2423541151. i) 10001IVii)500500iv) 13ivo25I 3inn

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1- 0.2422-0.7083-.44-28.755- 0.666676-0.69444447- 3.148- 1.222222

1) 0.242, 2) -0.708; 3)-4; 4)-28.75

38.

45Ap+In the given figure, I ll m and p II q, find the measures of a, b, c, d and e.

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39.

that- 2 and v2 are two of its zeros.12. A motorboat can travel 30 km upstream and 28 km downstream in 7 hours.It can travel 21 km upstream and return in 5 hours. Find the speed of theboat in still water & that of the stream.

Answer»

This kind of questions follows the same pattern:

Let the speed of the boat in still water = xkm/hr.

Let the speed of the stream = ykm/hr.

Speed upstream = x - y.

Speed Downstream = x + y.

Now,

Given that boat can travel 30km upstream and 28km downstream in 7 hours.

30/x-y + 28/x+y = 7

Let 1/x - y = a and 1/x + y = b

30a + 28b = 7 ---------------------------- (1).

Also, Given that it can travel 21 km upstream and return in 5 hours.

21/x - y + 21/x + y = 5

Let 1/x - y = a and 1/x + y = b

21a + 21b = 5 ------------------------ (2)

On solving (1) * 21 & (2) * 28, we get

630a + 588b = 147

588a + 588b = 140-----------------------------42a = 7

a = 1/6.

Substitute a = 6 in (1), we get

30a + 28b = 7

30(1/6) + 28b = 7

5 + 28b = 7

28b = 7 - 5

28b =2

b = 2/28

b = 1/14.

We know that,

a = 1/x - y

1/6 = 1/x - y

x - y = 6 ----------- (3)

We know that,

b = 1/x + y

1/14 = 1/x + y

x + y = 14 ------------ (4).

On solving (3) & (4), we get

x + y = 14

x - y = 6

------------

2x = 20

x = 10

Substitute x = 10 in (4), we get

x + y = 14

10 + y = 14

y = 14 - 10

y = 4.

Therefore the speed of the boat in still water = 10km/hr.

Therefore the speed of the stream = 4km/hr.

40.

34A = {x : 11x - 5 > 7x + 3, XE R) andB = {x : 18x – 9 > 15 + 12x, X e R).Find the range of set An B and represent it on a number line.

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41.

1. Use Euclid's division algorithm to find the H(ii) 196 and 38220 (iii) 867 andthe form 6a + 1, or(i) 135 and 225

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42.

рдл : . 1 o. Factorize: x*+-++2-3y: X e )R gy e

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43.

65.A coin is tossed repeatedly twice. What is the probability that the same face does notappear both the times.

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It is not possible to predict the outcome of coin before the result.

44.

12. A die is tossed thrice. Find the probability of getting an odd number at least once

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45.

Solve the following e8x-31.

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46.

प्दिन्ठे पट mode o 79R-8,64,6:3,11-3 64 (-2,gram s, T o

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6.4 is the mode of the data

47.

: Express the following into a single e1-10

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48.

6. Express the following rational numbers in decimal form.242354I. 1)1000500E1. 1 20121.1)WINGIE36

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49.

Train travels at a constant speed of 80 km/h. Draw a time-distance graph for this situationfind:1) the timpe taken to travel 160 km2) the distance covered in 2/h hours.

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Thanks

50.

1)Use Euclid's division algorithm to find the HCF of:135 and 225(ii)196 and 382201 1 gs is of the form-atha form

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