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.

Find the distance of the point (6, 8) from theorigin.

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2.

Area of triangle having side 3cm

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3.

3. Look at several examples of rational numbers in the formare integers with no common factors other than 1 and having terminating de(970), where p and arepresentations. Can you guess what property q must satisfy?

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4.

what is property of definite integral

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5.

1. Define the term definite integral.

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The definite integral is defined to be exactly the limit and summation that we looked at in the last section to find the net area between a function and thex-axis. Also note that the notation for the definite integral is very similar to the notation for an indefinite integral.

6.

.The following numbers are obviously not perfect squares.(G) 1057(v) 64000Give reasor.(i) 23453(vi) 89722(ii) 7928(vii) 222000(iv) 222222(vii) 5050502

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7.

The following numbers are obviously not perfect squares. Give reasor0 1057(v) 64000(u) 234523(vi) 89722(m) 7928(v) 222000(iv) 222222()5050503, The squares of which of the followine would beot

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8.

Cgus latealIian3cm(uil

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thanks

9.

EXERCISTick(™) the correct answer.(a) 22 is equal to

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11/4÷3/411/4*4/311/3

11/4÷3/411/4×4/311/3

10.

By using the forsing the formula, find the amount and compound the SL UIL* 6000 for 2 years at 9% per annum compounded annually.

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11.

Tick(/) the cat farther from the tree.

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12.

1. Tick () the correct 11a. The additive inverse of hisvers

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the additive inverse of -5/11 is 5/11

5/11 is the correct answer of the given question

5/11 is the additive inverse of -5/11

the correct answer is 5/11

The additive inverse of -5/11 is 5/11. the end like and comment.

13.

ll nas10. Four times B's age exceeds A's age by twenty years, and one.third of A's age is less than B's age by two years: find their ages.

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like if you find it useful

super

14.

) The age of father is two years less than three times the age of his son. If thesum of their ages is 54 years, find the age of both.

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Let age of son = x yrsThen age of father = 3x - 2

Given,x + (3x - 2) = 544x = 54 +24x = 56x = 14

Age of son x = 14 yearsAge of father (3x - 2) = 3*14 - 2 = 40 years

Thanks

15.

width. Given that area of le Waik ll6. Two years ago, a man's age was three times the square of his son's age. In threetime, his age will be four times his son's age. Find their present agesmlonger and each metre costs 5 less

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16.

22. The point which lies at one third ofthe distance from A(6,-4) toB(-3,8), is(a) (0,3) (b) (3,0)(c) (-3,0) (d) (0,-3)

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answer d ) 0,-3

17.

5 a) Find the equaion Uru UIlb) Find the co-ordinates of the centre and radius of a circle whose equation isx2 +y? + 6x - 8y0.

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18.

Q26.The two vertices of a square are (-1,-2) and (3,2). Find the coordinatesof the other two vertices.

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19.

Q26. The two vertices of a square areof the other two vertices.(-1,-2) and (3,2). Find the coordinates

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20.

Two opposite vertices of a square are (1,2) and (3, 2). Find the coordinates of other twovertices

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21.

gl ven thatThe two opposite vertices of a square are (-2, 3) and (4,3). Find the co-ordinates of the other twovertices30.

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22.

If coordinates of two adjacent vertices of a parallelogram are (3, 2), (1,0)diagonals bisect each other at (2, -5), find coordinates of the other two vertices.

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23.

(2) Prove that the two vertices of a parallelogram areequidistant from the diagonal not containing thesevertices.Figure:Proof:

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24.

Prove that the point (5, 8) lies outside thecircle x^{2}+y^{2}=25

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25.

Examine whether the point (2, 3) lies inside or outside the circlewhose equation is x2 + y2 + 2x + 2y-7-0.

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26.

Examine whether the point (2, 3) liesinside or outside the circle whoseequation is x^{2}+y^{2}+2 x+2 y-7=0

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27.

EXERCISE10.1l in the blanks:The centre of a circle lies in_of the circle. (exterior/ inA point, whose distance from the centre of a circle is greater than its radius liesof the circle. (exterior/ interior)) The longest chord of a circle is a) An arc is a) Segment of a circle is the region between an arc andi) A circle divides the plane, on which it lies, inii) All points lying inside/outside a circle are callediii) A continuous piece of a circle isrite True or False: Give reasons for your answers.of the circle.when its ends are the ends of a diameter.points/of the circle.

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28.

Rakesh's age is less than Sania's age by 5 years. The sum of their ages is 27 years. How old are they?

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let sania age be x so Rakesh age is x-5sum of ages x + x-5 = 272x = 32x = 16sania age is 16rakesh is 11 years old

29.

TUUU20.21.)>What is the short form of 300 +60+0.3 +0.009?2 of the flowers in the floof the flowers in the flower pot are blue, of them are pink and the rest are purple.If the flower pot has 28 flowers, how many flowers are of purple colour?

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20)360.30921)blue flower=2/7of 28=8pink flower=3/7 of 28=12purple colour flower=28-(12+8) =28-20=8

20. 360.30921. 8

are the right answer of this question

hey the answer is 25/7 flowers.

bhai lakhan select my answer as best

20)300+60+0.3+0.009=360.309

8 is the correct answer.

30.

A pot has 2 flowers. How manyflowers will 7 pots have?

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1 pot has 2 flowers.7 pots have (2*7) = 14 flowers

Here, A pot has 2 flowers in it, so that doesn't mean that the remaining pots too have 2 flowers each..

31.

Give the derivation of Heron's Formula .

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Please don't use Cos and sin.

I want answer in a simple way.

but that can be done through triangles. ,in which I will use the criteria of INCENTRE .and then I will derive it..

area=√s(s-side1)(s-side2)(s-side3)

I am asking the derivation of Hero 's Formula .

Not the formula.

32.

Rahul's mother's age is 5 years less thanfour times his age. What is his age if hismother is 39 years old?

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let rahul's age be xthen his mother's age=4x-54x-5=394x=44x=11

33.

623) and R(r, 6), find thIf Q(0. I)isequidistant from, p(5,-distances QR and PR.e value,10. Find a relation between randy such that the point (x,y)ǐsegui(3, 6) and (-3, 4).7.3 Section FormulaLet us recall the situation in Section 7.2.Suppose a telephone company wants toposition a relay tower at P between A and Bin such a way that the distance of the tower

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34.

o8BTहै. हर 2

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35.

८ ट६::१५४:५ BT |

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36.

-AUFind the distance between the points A (8, -3) and B (0,9 by using distance formula. 2

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37.

Write any five factors of the following numbers.(ii) 96(0) 42(iii) 28

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Factors of 42: 1, 2, 3, 6, 7, 14, 21,42.

Thefactors of 96. Answer : 1,2,3,4,6,8,12,16,24,32,48,96,

Factors of 28- 1, 2, 4, 7, 14, 28

38.

forr mula method1

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39.

Pratima's age is 6 years less than half the age of her mother. The sum of theirages is 57 years. What is the difference in their ages?

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Let mother's age be xPratima's age=x/2 -6(=y)x+x/2 -6=573x/2=63x=42(mother's age)42/2-6=21-6=15(Pratima's age)Difference=42-15=27 years

40.

(3) 125.51. Pratima's age is 6 years less than half the age of her mother. The sum of theirages is 57 years. What is the difference in their ages?

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P = M/2 - 6 so 2P - M = -12 P + M = 57 2P - M + P + M = 57 - 12 3P = 45 P = 15 M = 42 M - P = 42 - 15 = 27

41.

By distance formula, show that the points (1, -1) (5, 2) and (9, 5) are collinear.

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three points are collinear if x1(y2- y3) + x2(y3- y1) + x3(y1- y2) = 0

here, x1= 1 , x2= 5 , x3= 9 y1= - 1 , y2= 2 , y3= 51 (2 - 5) + 5 (5 + 1) + 9 (- 1 - 2) = 0- 3 + 30 - 27 = 00 = 0

42.

Section -C13. Sunil is 48 years old. He is 7 years less than 5 times his daughter's age. What is his daughter'sage?

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given : sunil's age is 48 years ..........(1)

let sunil's daughters age be x

according to the question ,

sunil's age = 5x-7 ............(2)

equating both the equations

5x-7 = 48

5x=48+7

5x = 55

x=11

hence sunil's daughter's age is 11 years

43.

53. The present age of the father is three yearsless than five times the age of his son.After 5 years the age of father will be 3years more than three times the age of theson. The present age of the son is:Ayers(B) 7 years(C) 6 years(D) 9 years

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Let age of son = xThen age of father = 5x - 3

After 5 years age of son = x + 5

Then after 5 age of father= 3(x + 5) + 3

So, according to the given condition5x - 3 + 5 = 3(x + 5) + 35x + 2 = 3x + 15 +32x = 18 - 22x = 16x = 16/2 = 8

Therefore age of son = 8 years

44.

My age is x year. My father's age is 3 years less than 4 times. My age what is my father's age?

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Your father's age is 4x-3 of your age.

thanks

45.

11)2. Write the following in exponential form:(1) (-3) * (-3) * (-3) (-3)

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81 is the right answer

3 to the power of 4 is the correct answer

-81 is right answer

-81 is the correct answer of the given question

(-3)(-3)-(3)(-3)(9)(9)81

81 is the right answer

81 is correct answer.

(-3)×(-3)×(-3)×(-3) = (-3)4

81 is the right answwe

The exponential is (-3)power 4

(-3)×(-3) ×(-3)×(-3)= (-3)^4

-3 power is 4 is correct answer

(3)the power 4 of exponents form.

46.

Bt L6620 |

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x - 1 + 1/x = 6x^2 - x + 1 = 6xx^2 - 7x + 1 = 0

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by : - B ± √B^2-4ACx = ———————— 2A

Accordingly, B^2 - 4AC = 49 - 4= 45

Applying the quadratic formula : 7 ± √45 x = ————— 2

Two real solutions: x = (7+√45)/2= (7+3√ 5 )/2orx = (7-√45)/2 = (7-3√ 5 )/2

47.

d. Write 96 as an exponential with base 81.

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81^³ is the correct answer of the given question

81^3 is the correct answer of the given question

48.

6.) Simple interest on a sum of money for3 years at 8% is 180 less than thesimple interest on the same sum for 4years at 12%. Find the sum

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Principal + 8% p.a. interest on principal for n years = 180 …….. (1)

Principal + 4% p.a. interest on principal for n years = 120 ……… (2)

Subtracting equation (2) from equation (1), we get

4% p.a. interest on principal for n years = Rs.60.

Now, we can substitute this value in equation (2),

i.e Principal + 60 = 120

= Principal = Rs.60.

We know that SI = , where p is the principal, n the number of years and r the rate percent of interest.

In equation (2), p = Rs.60, r = 4% p.a. and the simple interest = Rs.60.

Therefore, 60 =(60*n*4)/100

=> n = 100/4 = 25 years.

49.

The simple interest on a certain sum of money for 5/years at 10% per annum is₹196 less than the simplethe same sum for 4 years at 16% per annum. Find the sum.

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Interest = PRT

Given that interest for 5 years at 10% is Rs 196 less than 4 years at 16%

⇒ P(0.16(4) - P(0.1)(5) = 196

Solve for P:

P(0.16(4) - P(0.1)(5) = 196

0.64P - 0.5P = 196

0.14P = 196

P = Rs 1400

Answer: The principal amount is Rs 1400

50.

(3) 125.5(4) 400.31. Pratima's age is 6 years less than half the age of her mages is 57 years. What is the difference in their ages?other. The sum of their

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