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.

4.If one zeroes of the polynomial fx) 5x13x + k is reciprocal ofthe other, than the value of k is

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Let Alpha be the one zero of the given polynomial.

Then the other will be 1/Alpha

P(X) = 5X²+13X+K

Here,

A = 5 , B = 13 and C= K

Product of zeros = C/A

Alpha × 1/Alpha = K/5

1 = K/5

K = 5.

2.

1. If the sum of the zeroes of the polynomial fx x-3kx+4x-5 is 6, then find the valuevalue of k

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3.

cos price of an inverter is Rs. 10. 800.00 and the protit on seling price isne price of the inverter?tb) Rs 13,200.00s 12.000 00

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CP of inverter=10800profit percent=10%profit=(10/100)*10800=1080SP=CP+profit=10800+1080=11880

4.

(8 The crst price of a book self is Rs 15500 & Rs 450 was spent on its polishing. If it is sold foraprofit of 15%, then fnd the Seling price of th article

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5.

2. If the area of a rectangular sheet of metal is 450 cm' and its length is 25 cm, calculate its beliquid that a containerCanariry hath

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6.

If the area of a rectangular sheet of metal is 450 cm and its length is 25 cm, calculate its breadth

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7.

egg should he sell so ay to g8. 13), tind the seling price of the article.cost of an article was 15500マ450 were spent on its repairs. If it is sold for a15%, find the selling price of the article.8. The

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8.

If base of a parallelogram is 18 cm and its height is 11 cm, find its area.

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9.

8. An arscle costs2. The cost price of 8 books is equal so the seling price of 6 books. Find the gain or keaper cent[Rint : If the S.P. of I artsicdle is I, then C.P. of 8 artides is6.

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10.

Divide and find thea find the quotient and theremainder (if any):a) 8r - 15x + 6x2 by 2x + 312x2 + 7xy + 2y2 by 3x + 4y6 x8 – 6 by x² - 40 -2x2 + x - 3 by x - 1Find the quotient and the remainder (ifand also verify the result when:a) 12.x3 – 17x2 + 26x – 18 is divided byb) 5x3 – 12x2 + 13 is divided by 5x +Check using division, if:a) x + 3 is a factor of x2 + 8x + 21A

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11.

man got a 10% increase in his salary. If his new salary isoriginal salary1,54,000 find his

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Let his original salary be ₹ X. Then, (100+10)/100 * X = 154000=> X = 154000*(10/11)=> X = ₹ 140000.

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12.

Triangle ABC and triangle DEFare two similar triangles suchthat measure of angle A is equalto 36 degree and that of angle Eis equal to 74 degree, then findthe measure of angle C.

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70 is the correct answer

70ia the correct answer

70 is the right answer

right answer is 70 because we know that the sum of Angeles of triangle is 180.

angle C =70 degree is the correct answer

13.

man got a 10% increase in his salary. If his new salary isoriginal salary.1,54,000, find his

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14.

1. In Δ ABC and Δ PQR, DD-Op. State any twoAB BCPQ QHangles of two triangles which must be equal sothat both triangles may be similar. Justify youranswer.

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15.

9. Write any two polynomials whose difference is 5r2-8r.

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(10r²+3r) - (5r²+11r)

= 5r²-8r

16.

8. Find the zeroes of the quadratic polynomial 3r2 8r + 4/3

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Given quadratic equation =√3x² - 8x + 4√3 = 0We should factorize the equation first. =√3x²-6x-2x+4√3 = 0 =√3x(x-2√3)-2(x-2√3) = 0 = (√3x-2) (x-2√3) = 0 = (√3x-2) = 0 , (x-2√3) = 0 = x = 2/√3 , x = 2√3.

17.

A man got a 10% increase in his salary. If his new salary is? 1,54,000, findal salary

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18.

ICBSE 200919. (a) It sum of the squares of zeros of the quadratic polynomial fx)- 8r + k is 40, find thevalue of k

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19.

I. After getting an 8% increase in the salary, IMohan's new salary is 1,51,200. What was hisoriginal salary?

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Let us assume that Mohan’s salary before the raise was x

Then they gave him a 8% raise on his salary of x

Then his current salary = original salary + the raise

151200 = x + 0.08x

151200 = 1.08x

==> x = 151200 / 1.08

= 140000

20.

Q28. The angles of depression of the top and the bottom of an 8m tall buildingfrom the top of a multi-storeyed building are 30° and 45°, respectively. Find theheight of the multi-storeyed building and the distance between the two buildingsn29 A man to

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21.

. Find the length of the rectangle whose.a. area - 204 m2, b-12 mc. area 450 cm', b 18 cm

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Formula : area=l*ba)Given : area=204 m sq; b = 12m204=l*12l=204/12=17Therefore length=17 mb)given: area=450cm sq ; b=18 cm450=l*18l=450/18=25Therefore length= 25 cm

22.

2. Tndi tbe seling price wibesini c:t915 and gain-6

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23.

A man got a 10% increase in his salary. If his new salary isoriginal salary154,000, find his"

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24.

A man got a 10% increase in his salary. If his new salary is1original salary.154,000, find his

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25.

Find the equation of the tangents to the circle x2 + y2 = 4 which make an angle of 60° with the positive x-axis in anticlockwise direction

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Let the equation be : y= mx+cSince, angle made with x-axis is 60° , slope(m)= tan 60°= √3

Also, distance of this line from (0,0), which is center of circle ,is radius=2.

So, c²=a²(1+m²) c²= 4(1+3)c= 4So, equation is : y= √3x + 4

26.

4. Find the equation of the tangents to the circle x? + y4 which make an angle of 60° with the positive x-axis in anticlockwise direction

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27.

EXERCISE 6.41. Let Δ ABC ~ Δ DEF and their areas be, respectively, 64 cm2 and 121 cm2. If EF-15.4 cm, find BC.t ch other at the point O.

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28.

15 is negative:(C) x = 0, x = 513. The value of x when the value of 8r x(A) x < 3, x25(B) x > 3, x < 5(D) x = 3, x = 5

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8x - x² - 15

First we find zeroes

-x² + 8x - 15 = 0

-x² + 3x + 5x - 15 = 0

-x ( x - 3) + 5 ( x - 3) = 0

(5 - x) ( x - 3) = 0

So, x = 3 and 5

Therefore, when x

---------------------------------------- - | + | - 3 5

So, 8x - x² - 15 is negitive when x < 3 and x > 5

A) option

29.

The areas of two similar triangles ABC and PQR are 64 cm* anthen the value of BC will be:6.d i 2 1 cm2, respectively. If QR = 15.4 cm,

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Given:area triangle ABC =64 cm and and area PQR =120 cmthen:since both triangles are similarso,64/121=(BC/QR)^264/121=(BC/15)^28/11=BC/15BC=8×15/11=10.909cm

30.

1. After getting an 8% increase in the salary,1,51,200. What wasMohan's new salary ishis original salary?

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please explain

31.

Construct a triangle ABC, given that AB + BC + CA = 9.5 cm,4-60, andC = 450.

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this is a similar ques.the only change you have to make is in the first step where instead of 11, draw a line segment of 9.5cm

the water for a factory stored in a hemisphere tank whose internal diameter is 14m.the tank contains 50kilolitres of water. water is pumped in the tank to fill it's capacity calculate the volume of water pumped into the tank.

32.

52.The angles of depression of the top and the bottom of an 8m tall building fromthe top of a multi-storeyed building are 30 and 450 respectively. Find the heightof the multi-storeyed buiding and the distance between the iwo buildings

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33.

A man got a 10% increase in his salary. If his new salary is? 1 ,54,000, find hisoriginal salary,

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34.

GroupSolve for x each of the following (9-179.p r - x- -0

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p^2x^2-( p^2-q^2)x-q^2= 0, p^2x^2-p^2x-q^2x-q^2=0, p^2x(x+1)-q^2( x+1)=0, (p^2x-q^2)(x+1)=0; p^2x=q^2; x=q^2/p^2; x=-1

35.

28.The sum of two numbers is 6 times their geometric mean, show that numbersare in the ratio (3+2/2):(3-22

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36.

EXERCISE 6.4I. Let Δ ABC ~ DEFEF 15.4 cm, find BC.and their areas be, respectively, 64 cm' and 121 c

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37.

There are 156, 208, 260 students in groups A, B and C respectively. Buses are to be hired totake them to a deserted land near a colony, where people used to throw garbage. Thesestudents decided to develop a pond there. Find the minimum number of buses to be hired,if students of each group are accommodated separately and same number of students shouldbe accommodated in each bus.

Answer»

Take H.C.F. of 156, 208 and 260.

=> HCF of 156 and 208

P.F. of 156 = 2×2×3×13P.F. of 208 = 2×2×2×2×13Therefore, H.C.F. of 156 and 208 = 2×2×13 = 52

=> Now , H.C.F. of 52 and 260

P.F. of 52 = 2×2×13P.F. of 260 = 2×2×5×13H.C.F. = 2×2×13 = 52

●Max. number of students per bus = 52

●Total number of students = 156+208+260 = 624 students.

●No. of buses = 624/52 = 12 buses.

38.

5.5. What is the x value if 3 (2x -4) 4x +28?What is the x value if 3 (2x 4)

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3(2x-4)=-4x+286x-12=-4x+2810x=40x=40/10x=4

39.

AABC ADEF and their areas are respectively 64 cm2 and 121 cm2. IEF 15.4 cm, find BC

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40.

Find the slope of the line, which makes an angle of 30 with the positive directionof y-axis measured anticlockwise.

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41.

Question 1. Find the area of the region bounded by the curve y2 - r andthe lines x = 1, x = 4 and the X-axis.

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42.

45)Find the slope of the line which makes an angle of30° with positive direction of the Y-axis, measuredanti-clockwise.

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43.

9. Find the slope of the line, which makes an angle of 30° with3)atev)direction of y-axis measured anticlockwise.Posite6. (i) p

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I m not satisfied

44.

(3) Find the geometric mean of 4 and 25.(4) Find x if x + y = 5, and x-y = 7

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1) geometric mean of 4 and 25 = (4*25)^2 = (100)^2 = 10

2) x + y = 5..... (1) x - y = 7..... (2)

Add eq(1) and eq(2)2x = 12x = 6

Value of x = 6

45.

Solve for x: 9x^2 + 6a^2x + (a^4-b^4) = 0

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Part 1

Part 2

HJ

46.

1 Find the slopes of the lines x + y = 0 and x - y = 0.nontoining the points (2,-3) and

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Slope m = 1 and -1By comparison to y = mx+c

We will write the equation x+y=0 as y=-x+0 Now comparing it with y=mx+c we will get m=-1Similarly for second equation m=1

According to Question m = 1 and -1 slope

x+y=0this is in form of ax×x+bx+c=0a=1,b=1 m=-a/b=-1/1=1x-y=0this is in form of ax×x+bx+c=0a=1,b=-1 m=-1/-1=1

47.

find the equation of a line which is equidistant from the lines x=-2 and x=6

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48.

3 “- Fe 10 37 7 TR

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like the answer if it helps you

49.

What should be added in the polynomial x^3+2x^2-9x+ 1 so that it is completely divisible by x + 4?

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50.

कु) नर 37 +2x— 4, TSR =x=2) =47 3% +2x— 4, VST =x+1y=at+x’ - 27 +x+ 1, TSR =x-&gt;&gt; दा +6x—a, VSTH =x—a

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