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.

solve 15(y-4) -2(y-9) +5(y+6)=0

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2.

Solve the following equation:\frac{x}{5}+11=\frac{1}{15}

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3.

1. Solve:[15(x - 9) -2(x-12)+5(X+6)=0

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4.

15 ( a - 4 ) - 2(a -9 ) + 5 (a +6 ) =0 solve it

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5.

In night angle triangle ABC, 8m, 15 cn and 17 am.atheocndCAe lenghs ofABly. Then, find out sin A, cos A and an A

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6.

lcUses0

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CAD(Computer Aided Design) reduces design time by allowing precise simulation rather than build and test physical prototypes. Integrating CAD with CAM (Computer Aided Manufacturing) streamlines the product development even more. CAD is currently widely used for industrial products, animated movies and other applications.

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7.

СВЕ 3.3-uations by the elimination method and th(ii) 3x + 4y = 10 and 2x-2y-2(iv) -1 and --3

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8.

\frac{2 x+1}{3 x-1}=\frac{3}{2}, \text { then the possible value of } : x^{\prime}

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9.

x 4y 28 where x, y are positive integers. Whatis the least possible value of y?1. 3

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We can put x= 10y = 1/2y = 1/2 can be the least positive valueas 3(10)-4(1/2)=30-2= 28

10.

. If the distance between the points (4, k) and (1, 0) is 5,then what can be the possible value of k?

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11.

For which value of p, does the pair of euations given below has uniqu

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For equations4x + py + 8 = 02x + 2y + 2 = 0To have unique solutions

4/2 = p/2p = 4

Therefore value of p = 4

12.

2. If the distance between the points (4, k) and (1, 0) is 5,then what can be the possible value of k?

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9+k^2= 25k^2= 16k= 4like it if you have understood this otherwise let me know if you need any help

Thanx 🙂

13.

19x-13 = 11x +35ly4 2 3

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19x-13=11x+3519x-11x=35+138x=48x=48/8=6

y/4-1/2=y/3+1y/4-y/3=1+1/2=3/23y-4y/12=3/2-y/12=3/2-y=3*6=18y=-18

14.

ind the15 5ly solve for x and y:10y +x2y+4;15y-5=-2;

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10/x+y +2/x-y=4________(1)15/x+y-5/x-y=-2________(2)let 1/x+y=A and 1/x-y=Buatherefore eqn 1 and 2 will become 10A+2B=415A-5B=-2

Now multiplying eqn 1 by -5 and eqn 2 by 2 we get -50A-10B=-2030A-10B=-4Now by elimination method we have A=16/80=1/5and B=1but 1/x+y=A and 1/x-y =Bputting the values of A and B we get x+y=5____(3) and x-y=1______(4)Now from eqn 3 we get x=5-y Now putting the value of x in eqn 4 we get y=2 and x=5-y i.e x=5-2=3. Therefore x=3 and y=2

15.

7995) 24.(-2 57 rere I4 2 4 33]Ly 5] L-1-2values of x and y.11 212 1

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16.

5. Check whether the polynomial q(t) = 4+* + 4tº - t - 1 is a multiple of 2t + 1.

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0 is the correct answer of the given question

17.

ly liom its centre.construlu Illeasure their lengths.nstruct a tangent to a circle of radius 4 cm rom a point on the concenitradius 6 cm and measure its length. Also verify the measurement by actual

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18.

Factorise the following polynomials1. 4x-202. 75

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1. 4x-20 4 can be taken in common. So it becomes 4(x-5)

thank

19.

Topic: Polynomials1. If x + y = 12 and xy = 32. Find the value of x + y.uolue of x2 + 2y?

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20.

Exercise 3.3Q. 1. Check whether the follouations are quadratic?a(e+ 2)r -2)(ii) + 2)3 = x3-4(iii) x2 + 3x + 1 = (x-2)2

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1) this equation is quadratic equation2) second equation is also a quadratic equation3)third question is not a quadratic equation

21.

. Ten years ago, a father was 10 times as old as his son. Form alinear equation expressing their present age.

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Let us consider that the present age of the father and the son are x and y years.

So, 10 years ago, the father was (x - 10) years old.

Given that :

x - 10 = 10y

=> x - 10y = 10,

which is the required linear equation.

22.

Aman s age is three times his son's age .Ten years ago he was five times his son's age . Find their present ages

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23.

1.Simplify each of the following:6) (16)4

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24.

Date: 1018 12 Page113Find the unknown angles 20 and in5102 the figure shown Bd torslaglaquest llo-120°/ LDADIn olyamalau10°Sol

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angle X=60 angle y=170

<x + 120 = 180(Linear Pair)<x = 180 - 120 = 60°

<y + 10 = 180(Linear Pair) <y = 180 - 10 = 170°

25.

9.A farmer has a field in the form of a parallelogram PQRS asshown in the figure. He took the mid-point A on RS andjoined it to points P and Q. In how many parts of field isdivided? What are the shapes of these parts?The farmer wants to sow groundnuts which are equal to thesum of pulses and paddy. How should he sow? State reasons?P

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26.

2. Solve: 473 x 67 +473 x33 by using distributive property.

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473(67 + 33)473(100)47300 is the correct answer.

47300 is correct answer of given question

473×100=47300its correct answer

27.

6. Divide:(6) 16/6 by 42

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28.

| 9 4 } { 9 3]S =6 12 16° 9]

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(9/16 * 4/12) + (9/16 * - 3/9)

= 3/16 - 3/16

= 0

29.

ही वo oy st (2, 5) और (2, -3) से समान दूरमे

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(x,y)(-2,-5) and (2,-3)m:n=1:1x=1(-2)+1(2)/2=0y=1(-5)+1(-3)/2=-5-3/2=-4

(0,-4)

galat he

30.

Solve[6+{6×42÷2}4+7]

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31.

हा.sin कि oS elलि A" sind

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32.

0 o T oy Oबट इन पट T T &gt; B st57 Tt gLl |

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घन की भुजा में 50 percentage kmi ho अतःa-0.5a=0.5aसम्पूर्ण पृष्ठ का क्षेत्रफल =6(0.5a)^2 *0.25(6a^2)0.25 की ब्रिधी होगी

33.

If we add 6 to 6 times y we get 42.

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The equation will be6 + 6y = 42

34.

42. 7x2-19x-6

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7x² - 19x - 6

7x² - 21x + 2x - 6

7x ( x - 3) + 2 ( x - 3)

( 7x + 2) ( x - 3)

So, x = -2/7 and 3

35.

x %2B 3/6=19/42

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the answer is -52 by 21

36.

Factorise the following6) 7x-42

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37.

p ^ { 2 } - p - 42 by p + 6

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p*p - p - 42 = p*p - 7p + 6p - 42 = (p-7)(p+6) (p-7)(p+6)/(p+6) = p-7

38.

ariaros (π + x) cos(-x兀

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39.

d three different irrational numbers between the rational numbersand7一一11

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40.

(if) (x-2) (x+4)+9=0oS PR

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( x - 2) ( x + 4) + 9 = 0

x² + 4x - 2x - 8 + 9 = 0

x² - 2x + 1 = 0

( x - 1)² = 0

So, x = 1

41.

\operatorname { os } ( \frac { \pi } { 2 } + x ) \cdot \operatorname { sin } ( \pi - x )

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cos(π/2+x)=sinxas π/2 +x=will be in second quadrant and as it is a multiple of π/2 hence cos will change to sinnow sin(π-x)=sinxas π-x will lie in second quadrant and sin is positive hence answer will be sin^2x

42.

volume of a rectangular block of store in 2592dm³ and its dimension are in the ratio 4:3:1, find its dimension

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Let length is 4x, breadth be 3x and height be xVolume=length*breadth*height2592=4x*3x*x2592=12x^3x^3=216x=6

Length=4x=24dmBreadth=3x=18dmHeight=x=6dm

43.

af% ag9e p(x)=x* +x+1 51 g o T# oy St el os

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44.

27. designer cedith of the of caths to wake a fey dress forperformance. 200 children are taking tuwach cloth wilde

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1.6÷9.1

gggdruuhgggcdgjjhrruihtyy

45.

Chap1. Find three different irrational numbers between the rationalnumbers 5/7 and 9/11hor line sins successive

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46.

4.Evaluate after simplificationa)abc(a.+s*+8) for a1, b-2, c3

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thanx

47.

1.Importance of value analysis

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A critical advantage to usingvalue analysisis its potential for reducing costs, which is a benefit that permeates all advantages of the system.

Becausevalue analysis breaks down a product or service into components, it enables you to analyze each component on its own, evaluating itsimportanceand efficiency.

48.

. |Disjite 218 SISl b elL [k | 22ihie LSE KR b 225 901० धु६ 19 iR Hiplbplie Ko o 'L A83 e

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49.

(iv) Sensivity analysis is also

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Sensitivity analysis is also referred to as"what-if" or simulationanalysisand isaway to predict the outcome ofadecision givenacertain range of variables. By creatingagiven set of variables, an analyst can determine how changes in one variable affect the outcome.

50.

Find the roots os x^2+x(c-b)+(c-a)(a-b)=

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