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.

10. Subtract -5y2 from y

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y^2-(-5y^2)=y^2+5y^2=6y^2

2.

(22*(2/5))/((41/5)) - 11/3 %2B 14*(2/3)

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3.

33. A tower is 50/3 m high. The angle of elevation of its top from a point 50 maway from its foot has measure

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As height of tower is 50√3 m

Distance of observer 50 m

In a right angle triangle perpendicular and base is given.

and we know that from trigonometric ratio

tan thetha = perpendicular/ base

tan thetha = 50√3/50tan thetha = √3

angle of elevation = tan-1 (√3)angle of elevation = 60°

4.

5. The following data has range 11 and median &. What is the value of x? (a is a whole num8, 3, x, 7, 14, 8

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if we assume that the largest value is 14 and the smallest one is 3 then the range is 11 so3=<x<=14now if x = 8 then :3 7 8 8 8 14 and the median is (8+8)/2=8if x=7 then3 7 7 8 8 14 and then the median is (7+8)/2=7.5 so x =/= 7if 3<=x<7 then3 x 7 8 8 14and the median is 7.5 which is wrongif 8<x<=14 then3 7 8 8 x 14 then the median is 8+8/2=8

so x can be any number from 8 to 14 meaning thatx = 8 or 9 or 10 or 11 or 12 or 13 or 14

what is the range of the following data 31,14,0,12,47?

5.

Write the expression in the standard form a+bi(2-4i) (5+9i)(2-41)+(5 + 9 İ)-[] (Simplify your answer )

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👍

6.

233. Atower is 503 m high. The angle of elevation of its top from a point 50 maway from its foot has measureA. 45 B. 60 C. 30 D. 15

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As height of tower is 50√3 m

Distance of observer 50 m

In a right angle triangle perpendicular and base is given.

and we know that from trigonometric ratio

tan thetha = perpendicular/ base

tan thetha = 50√3/50tan thetha = √3

angle of elevation = tan-1 (√3)angle of elevation = 60°

7.

Which of the following is true?I-51 4I-5) 14I-41-5

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As mod value is always true that is

| x | = x , x is positive

So, |-4 | < |-5| is true

Second option is correct

8.

asme Zerosot se sollowing psynonals.41-5b.) 3ON POLYNOMIA

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4x^2 - 5 = 0(2x)^2 - (sqrt(5))^2 = 0

Using a^2 - b^2 = (a + b)(a - b)

(2x + sqrt(5))(2x - sqrt(5)) = 0

x = - sqrt(5)/2, sqrt(5)/2

Therefore, Zeroes are - sqrt(5)/2, sqrt(5)/2

9.

26. Divide 4y3 5y2 6y by 2y.

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10.

26.Divide 4y3 + 5y + 6y by 2y.

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11.

x^2+4x^2=

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12.

(4x+2) 2

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(4x+2)²= (4x)²+(2)²+2(4x)(2)= 16x²+4+16x= 4(4x²+4x+1)

(4x+2)×2 = 8x+4 = 4(2x+1)

square asil ne into2

13.

-O-Dediunic.]34. सदिश 21 +41-5 तथा 1 +21+3k के योगफल के समान्तर एक इकाई सदिशज्ञात करें।[Find a unit vector parallel to the sum of the vectors 21+41-5k andA+2 +32.

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Sum of these two vectors = 3i + 6j -2kunit vector parrell can be achieved by dividing it by its magnitude, √(3^2 + 6^ 2 +(-2)^2)=7unit vector parrell to it = 3/7i + 6/7j - 2/7k

14.

(-2, 3). Hence,Imiu ie oul19. The angles of depression of the top and bottom of a 50 m high building from the top of a tower areand 60° respectively. Find the height of the tower and the horizontal distance between the towethe building. (Use v3 1.73)r and

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15.

2x^2-4x + 2

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16.

Z + 211. Find the locus of a complex number z = x + iy satisfying the relation 2.3: = 2.Illustrate the locus of z in the Argand diagram.

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17.

\begin{array} { l } { \text { be a complex number such that } | Z | = 2 \text { . Then the } } \\ { \text { minimum possible value of } \left| z + \frac { 2 } { Z } \right| \text { is } } \end{array}

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18.

233. A tower is 50 V3 m high. The angie of elevation of its top from a point 50 maway from its foot has measure ..

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19.

The eccentricity of the hyperbola whose latusrectum is 8and conjugate axis is equal to half the distance between thefoci, is(a) 4/3(c) 2/v3(b) 4/v3(d) none of these

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20.

The lines represented by 2x + 3y - 9 = 0 and 4x + 6y - 18 - 0 are(A)Intersecting linesPerpendicular lines to cach other(B)(C)Parallel lines(D)Coincident lines

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21.

1. Find the points of intersection of the lines4x +3y = 5 and x = 2y-7.

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22.

Amrish bought 4 sweaters at250 each and sold themat F 275 each. What was his profit or loss per cent

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Total cost price of 4 sweaters CP = 4*250 = 1000

Total selling price of 4 sweaters SP = 4*275 = 1100

Then, Profit % = [(SP - CP)/CP]*100= [(1100 - 1000)/1000]*100= 100/10= 10%

thanks

23.

Geetha said that 2x+3y=20,4x +6y 26 lines are parallel lines.Do you agree with her ? Justify your answer ?

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24.

9. Amrish bought 4 sweaters at 250 each and sold them275 each. What was his profit or loss per cent?at

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25.

9. Amrish bought 4 sweaters at 250 each and sold themat R 275 each. What was his profit or loss per cent?

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Profit = 275-250 = ₹ 25Profit percent = (25/250)*100 = 10%

Please hit the like button if this helped you

26.

Simplify: 4x-+2-11

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(4x×3-1)÷3+2-11x=0 12x-1+2-11x=0×3 so, x+1=0 answer

27.

11. Simplify:

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-67/156 is the correct answer of the given question

-(3/11×-5/6)=-(18×-55/66)=-(18×5/6)=-108/6=-18; -(9/12 × 4/3)=-(3/3)=-1; (5/13 × -6/15)=(-78/3)=(-26); -18-1-26=-45

28.

(5) For what values of x and y, the numbers 3+ ix y and x2 +y + 4i are complexconjugate of each other?

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numbers are conjugateso x^2+y=-3 so x^2=-3-yx^2y=-4(-3-y)y=-4-3y-y^2=-4y^2+3y-4=0(y+4)(y-1)=0so y=-4 or y=1if y=-4 then x=-3+4=1if y=1 then x=-3-1=-4

29.

If the points A(6, 1), B(8, 2), C(9, 4) and D(P, 3) are the vertices of a parallelogram,then find the value of P.

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If they are in order ,then A+C = B+D

then , 6 + 9 = 8 + p (from x coordinates)p = 7

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30.

Express each of the complex number given in the Exercises 1 to 10 inform a + ib.139

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31.

Express each of the complex number given in the Exercises 1 to 10 in theform a + ib3. i-39

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thnx bro

32.

Iarea ofa made by x+2y = 8,5x+3y=1sfind theand y-axis.

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33.

Q.11Simplify:(+2(s -2)3+2)N3-2

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34.

1)If α and β are different complex numbers withβ-1, then find1-αβ1

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35.

EXERCISE5.2Find the modulus and the arguments of each of the complex nuExercises 1 to 2.mbeI. z=

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36.

how many drops of water in 1 min rate

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20 drops of water in 1 min rate

37.

are conjugate complex numbers.ve that (1-2i

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(2-i)/(1-2i)^2=(2-i)/1-4-4i=(2-i)/(-3-4i) Rationalising=(2-i)*(-3+4i)/(-3-4i)(-3+4i)=-6+8i+3i+4/25=-2+11i/25hence they are complex conjugates

38.

V"aandβ are different complex numbers with | β| = 1 , then find 1-αβ

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39.

2. Obtain the302-82+43between u tszeros of the quadratic polynomatand vanity the relationzeros and coefficients.

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40.

A circle is touching the side BC of a Δ.ABC at P and istouching AB and AC when produced at Q and R respectivelyProve thatAQ .= 1/2 (perimeter of ΔΑΒC)

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41.

4. If PS is the median of the triangle with vertices 1P(2,2), Q(6,-1) and R(7,3) then the equationof the line passing through (1-1) and parallelto PS (AIEEE 2014)1) 4x-7y-11-03) 4x+7y+3-02) 2x+9y+7-04) 2x-9y-11-0

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coordinate of S=(13/2,1)

slope of ps=(1-2)/13/2 -2)=(-1)/(9/2)=-2/9

Eq. of the line passing through (-1,1) and parallel to PS is

y-1=(-2/9)(x+1)

9(y-1)=-2x-2

9y-9+2x+2=0

2x+9y-7=0

thank u sir

42.

69. The centre of the circle passing through the points(0,0), (1,0) and touching the circle x2+y 9 is3 1(b) 5(c)(#)(d)(1,ty2)01-42巨V2 2

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43.

The equation to a circle with centre (2, 1) and touchingX axis 1S-

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44.

74OSWAAL CBFind the value of k for which the points2cos2 θ-1sin θ cosθ17,Prove that cot®-tanθProve that sine (1 + tane) + cose (1 +cThe radii of two concentric circles are 13tangent to the smaller circle touching itathe length of AP18.

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45.

Vehicles carrying inflammable materials usually have metallic ropes touchingthe ground during motion. Why? [1]

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When the vehicle is in motion,due to friction in air,the body of the vehicle gets charged.if accumulated,charge becomes excessive,sparking May occur and inflammable materials may catch fire.therefore metallic chains touching the ground are introduced so that the charge quickly leaks to the earth.hence the danger of fire is avoided.so,vehicles carrying inflammable materials usually have metallic ropes touching the ground during motion.

conduct charge to earth

46.

Let C be the circle with centre at (1, 1) and radius 1. If T is the circle centred at (0, y), passing throughorigin and touching the circle C externally, then the radius of T is equal toJEE(Main) 2014, (4,-1), 120]N323224

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47.

) 1:625 (D) 1:259. Find the cost of painting the four walls of a room 10 metres long,5 metres broad and 6 metres high at the cost of Rs 4 per square metre.)(A) Rs. 720 (B) Rs. 880 (C) Rs. 360 (D) Rs. 1200

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Length is 10mBreadth is 5mHeight is 6mArea of 4 walls is 2(l+b)h=2*15*6 sq m=180Cost of painting 180*4Rs 720

48.

Check it OULWrite the time according to the hour and minute hands1.čz88It is.It is

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a) 7:15

b) 9:30

c) 2:45

49.

(i) 3 x 5x

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3×5x=? 3×5x=15

50.

Solvex32.Solver+41:-) = 9.(I.T.I. Motor Mech. AMech., Agl.

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