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.

1. Out of 125 votes, 95 are valid. What per cent of votes is not valid?

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out of 125, 95 are valid so 30 not valid not valid percentage = 30*100/125 = 30×4/5 = 24%

125 -95=30 votes are not valid

thnx

2.

Explain Newton's first law of motion.

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Newton's first law:An object at rest remains at rest, or if in motion, remains in motion at a constant velocity unless acted on by a net external force.

please like the solution 👍 ✔️

3.

In an election a candidate got 65% of the total valid votes, 8% of the total votes weredeclared invalid. If the total number of votes cost was 6,00,000. Find the number ofvalid votes polled in favour of the candidate

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total votes = 6000008% invalid⇒92% valid votes=92X600000/100=552000candidate got 65% of the valid votesso he got=65X552000/100=358800

thanks

4.

cample 3: Factorise 6xy -4y + 6-9x.

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5.

के... ही 2l g kak .

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6.

Example 3: Factorise 6ry - 4y 6-9x.

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7.

Solve the equation 3x +2 8x-8 and represent the solution on(ii) The Cartesian plane(i) The number linef the

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thankyou

8.

2l>0, then r belongs2If

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x> 2 to make the denominator +ve , as modulus is always so,

9.

4 Check graphically whether the pair of equationsx +3y62x 3y 12

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Please hit the like button if this helped you

10.

17) Solve graphically and state whether the equations have unique solution or not.2x - 3y = 6 and x + y = 1

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x= 9/5 and y= -4/5thanks

11.

3Factorise.(i)x2 + xy+8x+8

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12.

Satve equations 8x – 3y = 13 and 3x + 2 = 8900AO

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13.

a) I109. The value of 8x8-24is: S(d) none of these(a) -6(b) 3

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14.

16: Show that the cube of any positive integer is of the form 4m, 4ni+ 1 or4n+3 for some integer1.

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15.

State if triangles are possible with the following angles:(i) 30°, 60° and 90°(iii) 60°, 60° and 50°(ii) 40°, 130° and 300(iv) 120°, 40° and 20°

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: i and iv is possible, as the sum of angles is 180, for rest two its not 180

16.

. State if triangles are possible with the following angles:030°, 60° and 90°u) 60 60% and 50(ii) 40°, 130° and 30°(iv) 120°, 40 and 20

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i and iv is possible, as the sum of angles is 180, for rest two its not 180

17.

show that the square of any positive integer of the form 5 Cube + 1 is of the same form when Q is some integer

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Let x be any positive integerThen x = 5q or x = 5q+1 or x = 5q+4 for integer x.If x = 5q, x^2= (5q)^2= 25q^2= 5(5q^2) = 5n (where n = 5q^2)If x = 5q+1, x^2= (5q+1)^2= 25q^2+10q+1 = 5(5q^2+2q)+1 = 5n+1 (where n = 5q^2+2q )If x = 5q+4, x^2= (5q+4)^2= 25q^2+40q+16 = 5(5q^2+ 8q + 3)+ 1 = 5n+1 (where n = 5q^2+8q+3 )∴in each of three cases x^2is either of the form 5q or 5q+1or 5q+4 and for integer q.

18.

13. Find x and y in the following figure.УЛЕ300 DE30°D0

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reshma weight from 80 kilogram to 56 program find the practical percentage decrease

value of x= 60 . y=90 is correct answer.

x= 60,y=120 is the correct answer

x=60° y=90°

value is correct

19.

Q. 13) Solve the equations graphically : 2x + y-2-2y-x-4.What-is the area of the triangle formed by theTwo lines and the line y = 0?

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20.

Ifso,solveCheck graphically whether the pair of equations x+3y-6 and 2x-3y-12 is consistent.them graphically.

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21.

EV9. Triangles[Congruency in Triangles]46.) In the given figure, D is mid-point of AB.DE//BC and DFIIAC. Prove that : DE = BF.50. EDO

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Since df || ec So,de=fcAnd f is midpoint of bcSo bf=fcSo,de=bf

22.

gL+ 3y =84x + 6y =7

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23.

Solve the following linear equations for the unknown variable and verify the solutions22x = 30 - 4x0.25 (4x – 5) = 0.75x +8

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(1) 6x = 30 - 4x 6x + 4x = 30 10x = 30 x = 30/10 = 3

(2) 0.25(4x - 5) = 0.75x + 8 1/4(4x - 5) = 3/4 x + 8 x - 5/4 = 3x/4 + 8 x - 3x/4 = 8 + 5/4 (4x - 3x)/4 = (32 + 5)/4 x/4 = 37/4 x = 37

24.

4x+8=2x-6

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x=-7 is the correct answer

X=-7..........................

-7 is the correct answer.

-7 is right answer4*(-7)+8=2*(-7)_6-20=-20

X=-7 Ans.

X=-7 is the right answer

x is equal to minus 7 answer

4*+8=2*-6 4*-2*=-6-82*=-14*=-14/2*=-7

4x+8=2x-64x-2x=-6-82x=-14x=-14/2x=-7

4x + 8 = 2x - 64x - 2x = - 8 - 62x = - 14x = - 14 / 2x = -7

-7 is the correct answer

x-7 is correct answered

25.

4x + 8 = 20

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4x=20-84x=12X=12/4=3x=3

4x=20-84x=12x=12÷4x=3

26.

17) Show that the following integers are cubes of negative integers. Also, find the integerwhose cube is the given integer.(i) -5832(ii) -2744000

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27.

What is his starting salary ahd What ig the aai2) The difference between two positive integers is 2 and the difference between their cubesis 56. Find the numbers.

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which formula have u applied for the second step??

I have written the formula there.I just substituted values.

how???(a+b)^2-(a-b)^2=4ab....

I got it...

28.

A water body is of cuboidal shape of (Cuboid is a right angled parllelo pipped). Itslength 20 m. When 18 /. water is taken out of the water body, its level goes downby 15 cm. Find the breadth of the water body.

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18 litre = 18000cm^3=15*2000*bB=3/5cm

29.

Solve the pair of equations :4x - y = 7 and 2x + y = 13 graphically.

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30.

Solve the following pair of equations graphically and find the vertices of thetriangle formed by these lines and the x-axis:19.4x-3y+4 0, 4x3y-20-0

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31.

Find the value ofthe unknown 'in the following trianglesde3060

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i) sum of interior angles of a triangle = 180=> x + 50° + 60° = 180° x + 110° = 180° x = 180° - 110° x = 70°

sum of interior angles of a triangle = 180=> x + 30° + 90° = 180° x + 120° = 180° x = 180° - 120° x = 60°

tanks

please say answer for other question

32.

5 pencils and 7 pens together cost195 while 7 pencils and 5 penstogether cost ₹153. Find the cost of each one of the pencil and the pen.Solve the following system of equations graphically:2x-3y =1, 4x-3y +1= 0

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33.

2x-3y=84x-2y=12

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34.

Which ofthe following are the cubes of negative integers?a. -270003.b. -34300

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option (a)-27000=cube root(-27000) =-30since,cube (3)=27

35.

Solve each system of eqution-4x-2y-88x +4y-12

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-4x - 2y = 8 ......(1)8x + 4y = -12 ......(2)

2 × eq(1) + eq(2) 0 = 4so absurd, no solution exist

36.

In the given figure, ABAC, BDEC, Prove that ΔΑΒΕ/ACD and ADAE.

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triangle ABE is congruent to Triangle A CD by CPCT

As AB = AC so angle B = angle C so SAS rule ABD is congurent to ACE therefore.Add common part ADE on ABD and ACE so we get ABE is congurent to ACD . By CPCT AD is equal to AE

37.

8. In the given figure, ZCAB- 40, AC - AB and BC BD. Find:(i) LCDB(1) ZACB40°B-

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38.

Solve the pair of equations graphically4x-y=4 and 3x+2y=1412

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4x-y=4; 3x+2y=14; 3(4x-y=4); 12 x-3y=12; 4(3x+2y=14); 12x+8y=56; / -11y=44; y=44/11=4, 4x+y=4; 4x-4=4; 4x=4+4=8; x=8/4=2

X= 2 , y= 4 is the correct answer of the given question

x=2 and y=4 is the correct answer

39.

Find the value ofeach ofthe following expressions:(a) 3x + 8 when x 3(b) xy

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3*3+89+817 is the answer

40.

Which expression is equal to /63y(Assume y is nonnegative.)7yv3y3yy7

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√(63y³)

√(9 × 7 y³)

3y √(7)

2nd option is correct

41.

14. Find the equation of the circle whose centre is (3,-1) and which cut-offan interceptof length 6 from the line 2x-5y+ 18 0.

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42.

is13. Find the equation of the circle whose centre(3,-1) and which makes an intercept of 6 unitson the line 2x - 5y+18 0.

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43.

prove 3+2√5 as irrational

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44.

14. Find the equation of the circle whose centre is (3,-1) and which cut-off an intercepof length 6 from the line 2x -5y + 18 0.

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45.

18. 3x -2y 124x -5y 16

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46.

(4) 80,000which ofthe following alternative means that '20% of one number is equalto 25% of the other number'.18,(2) 6x = 4y(4) 2x-3y(I) 3y = 2x(3) 4x 5y

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Let the numbers be x and y

So, 20% of x = 20/100 × x = x/5

and 25% of y = 25/100 × y = y/4

According to question,

x/5 = y/4

4x = 5y

(3) option is correct

47.

requenciess. Prove that a diameter AB of a circle bisects all those chords which are parallel to thlangent at the point AuRC Dand Fare the mid-points of the sides BC and AC respectivel

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48.

c- , prove thataGiven bdb a prove that 3-5b33a +5b 3c+5d

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49.

Ila linear graph?Side of square (in cm)Area (in cm2)432536164Is it a linear graph?

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Observing the data we get that

Area = side²

So, it is not a straight line that means it is not linear.

50.

, Ila the sum of the4 The area of a trapezium is 180 cm? and its height is 12 cm. If one of the parallel sides isdthe other, find the lengths of the parallel sides.. The area of a traeti

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thanks yaar thank a lot