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.

. Weight of an object is the greatest on which of the following planets?MeresryMarsVenesJapiter

Answer»

.Jupiteris the largest planet in ourSolar Systemwith the mostmass. Because of Jupiter'smass, you would weigh more on that planet than on any other one in ourSolar System

thnx

2.

nd the area of the parallelogram whose adjacent sides are deterrthevectorsa=3i+j+4kandb=17/+k.

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3.

struct a parallelogram whose adjacent sides are 6.5 cm 8 cm andetween them is 70

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Steps of construction:1. Draw a line AB measuring 6.5 cm.2. Then draw a line through A taking 70° by protector. 3. Then by compass, cut a line measuring 8 cm placing the compass on both the points A and B. Then draw through A first.4. take a measurement of AB 6.5 cm. then through C draw an arc on point D.5. Then join the line BD.

4.

Write the first five term of the sequence 2,n+1

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5.

im 3+x -3Xx—0

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6.

व न मे लता(क) किसी लम्बवृत्तीय बेलन के आधार का क्षेत्रफल 154 सेमी* हैसेमी है। इसका वक़पृषठ ज्ञात कीजिए।

Answer»

बेलन का वक्र पृष्ठ = 2πrh= 2*3.14*10*154= 9671.2cm^2

7.

भारतीय अन्तरिक्ष कार्यक्रम को प्रा भ करने का भ्रेय किसको है?(क) डॉ. अब्दुल कलाम (ख) डॉ. रमन(न) डॉ. विक्रम अंबालाल साराभाई (घ) आर्यभट्ट

Answer»

भारतीय अन्तरिक्ष कार्यक्रमडॉ विक्रम साराभाईकी संकल्पना है, जिन्हें भारतीय अन्तरिक्ष कार्यक्रम का जनक कहा गया है। वे वैज्ञानिक कल्पना एवं राष्ट्र-नायक के रूप में जाने गए। वर्तमान प्रारूप में इस कार्यक्रम की कमानभारतीय अंतरिक्ष अनुसंधान संगठन(इसरो) के हाथों में है।

8.

(3x+5)(2x-2)=(2x+8)(3x-3)

Answer»

(3x+5)(2x-2)=(2x+8)(3x-3)=>6x^2 + 10x - 6x - 10= 6x^2 -6x + 24x -24=>4x -10=18x -24=>14x = 14=>x = 1

9.

ha mat e an isational nunkoJong diviasian method

Answer»

Please have a look at the attachment for the solution of this question.

⇒ √5 = 2.236067977 ............ is non terminating and non recurring decimal. So, √5 is an irrational number.

Hence proved.

Please have a look at the attachment for the solution of this question.

⇒ √5 = 2.236067977 ............ is non terminating and non recurring decimal. So, √5 is an irrational number.

Hence proved.

10.

/If (3+l,y-2) (31)findthevaluesofxandfind the values of x and y.

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11.

8Solve the following equations.a.2x - 3x = 83 5

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8 answers aayega shi hai

x=120 is a right answer

x=119 is correct answer

2x/3 - 3x/5 = 8 10x - 9x /15 =8 x / 15 = 8 x = 8×15 x = 120

2x÷3-3x÷5=85 (2x÷3)-3 (3x÷5)=810x÷15-9x÷15=8(10x-9x)÷15=8 x÷15 =8 x=8×15 x=120

120 is a right answer

10x/15-9x/15=8x/15=8x=120120 is correct answer

the answer is 2x/3-3x/5 =120

X = 120 is the correct answer

2x/3 -- 3x/5 =8

2x--3x/15=810x--9x/15=810x--9x=15×8 x=120 ans.

2x\3-3x\5=10x-9x\15=x\15=x=15x8,x=120

isaka uttar hoga 120 shahi uttar hi

120 he ayega bro ye equation one linear hai

2x/3-3x/8=8

10x-9x/15=8x=90

2×/3-3x/5=810x-9x/15=8 x/15=8 x = 8×15 x=120

2×/3-3×/5=8and the answer is 120

120 is the answer of this question

x ka answer hai 120 hai

lcm of denominator= 15 , then 2x-3x/15=8x/15=8x=8×15x=120

x=120 is the answer of question

=120 is a right answer

L.C.M=8,10x-9x=1x,then ,x=8

x=64 hoga kyuki iska lcm = 15

X=120 is the right answer

the value of X will be 120

(10x - 9x)/15=8x/15 =8x=120

120 correct answer

2x/3-2x/5=8

=> (10x-9x)/15=8=> x/15=8=>. x=15×8=>. x=120//

x ka vailue 120 prapt hoga

the correct answer is 48/2

the correct answer is X=120

x-120hi hoga ya xbaraber 120hi hai right answer hai 120

2x/3-3x/5=810x-9x=120x=120

10x-9x=120x=120 is the answer

2x/3 - 3x/5 = 810x/15 - 9x /15 = 8x = 8 × 15× = 120

120 is correct answer

phallay LCM loo 3. 5 ka. phir aaiyga 10x. -9x=8 1x=8 then x =8

x=120 right answer h na

x = 120 Answer. correct answer

2x*5-3x*5=-5x. 8*15=120. 120/5=24. x=24 જવાબ

x= 120 is the correct answer

2x/3-3x/5=810x-9x/15=8x=8×15x=120

23 is the correct answer

120 is the correct answer

x= 120 is a right answer

2×/3- 3×/5=810×-9×/15=8×/15=8×=8×15×=120And finally my answer is 120

2x/3 - 3x/5=810x-9x/ 15 = 8x/15 = 8x= 8 × 15x=120

x/15 = 8 x = 120 is correct answer

x=120 is correct answer

2x/3-3x/5=810x-9x=8*1510x-9x=120x=120

sahi answers h 120 right

10x-9x÷15=8x÷15=8x=8x15x=120

x-120 is the answer of question

10x-9x=15×8x=120the answer is 120

×=120 correct answer

x=120 is correct answer

x=120 is right answer

2x/3 - 3x/5 = 8or, (10x - 9x)/15 = 8 [L.C.M of 3 and 5 is 15]or, x/15 = 8or, x =15 × 8or, x = 120

(10x-9x)÷15=8x=8×15x=120

120 is a right answer

2x/3-3x/5=810x - 9x /15=8x=8×15 x=120

i dont know this........

iska answer hoga 96ayega

12.

A fraction becomes 1/3when 1 is subtracted fromthe numerator and it becomes 1/4 when 8 is addedto its denominator. Find the fraction.

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13.

If we add 1 to the numerator and subtract 1 from the denominator, a fraction reducesto 1. It becomes 1/2if we only add 1 to the denominator. What is the fraction?

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thanks 😘😘😘😘😘

14.

Prove that if a number is tripled, then its cubeis 27 times the cube of the given number.

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I can't understand

15.

(x) Substitute 3 imIT(a) x7x 12 (3) +7 (-3) 12 9+4 12 25

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x*x + 7x + 12 while substituting x = -3 in the above equation = (-3)*(-3) + 7*(-3) + 12 = 9 - 21 + 12 = 21 - 21 = 0

If you find this answer helpful then like it.

16.

© TRS L38 ©

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thanks

17.

5. If 3x+83x-k then k =

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18.

Use the substitution y 3x + 1 to solve for5(3x +1)2 + 6(3x + 1) -8 0.

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5(3x+1)(3x+1) + 6(3x+1) - 8 = 0 3x + 1 = y 5y*y + 6y - 8 = 0 5y*y + 10y - 4y - 8 = 0 (5y-4)(y+2) = 0 y = -2 , 4/5 3x + 1 = -2 , 4/5 x = -1 , -1/15

19.

5. ਹੇਠ ਦਿੱਤੇ ਵਿਅੰਜਕ ਨੂੰ ਹੱਲ ਕਰਨ ਦਾ ਸਹੀ ਤਰੀਕਾatt? Which is correct method tosolve following expression? निम्नलिखितव्यंजक को हल करने के लिए सही विधि कौन सी1।-|o

Answer»

take lcm of denominator and solve it by lcm method

20.

20. cos (sin l3.__5) के बराबर मान होगालय ¥ aA ™

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21.

2sinf —3cosf4sinf —9cos0secl = 5—l3 , ereofled =3 e PSS

Answer»

sec theta = 13/5

cos theta = 1/sec theta = 5/13

sin^2 theta = 1- cos^2 theta

= 1 - (5/13)^2 = 1 - 25/169 = 169-25 / 169 = 144/169

sin theta = 12/13

Now, put the values in the equation

= 2 sin theta - 3 cos theta / 4 sin theta - 9 cos theta

= ( 2*12/13 - 3*5/13 ) / ( 4*12/13 - 9*5/13)

= ( 24/13 - 15/13) / ( 48/13 - 45/13)

= { (24-15)/13} / { (48-45)/13 }

Cancel out that 13.

= 9/3

= 3

22.

L3L31Find the values of a and b for which the following hold:

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2a-b = 5-2a -2b 4

2a - b= 5

-2a -2b = 4

add

b= -3

2a = 8

a= 4

23.

Whow thatr's anJong divigian mehedly

Answer»

Assume that sqrt(6) is rational.

Then sqrt(6) = p/q where p and q are coprime integers.

sqrt(6)^2 = 6 = p²/q²

p² = 6q²

therefore p² is an even number since an even number multiplied by any other integer is also an even number. If p² is even then p must also be even since if p were odd, an odd number multiplied by an odd number would also be odd.

So we can replace p with 2k where k is an integer.

(2k)² = 6q²4k² = 6q²2k² = 3q²

Now we see that 3q² is even. For 3q² to be even, q² must be even since 3 is odd and an odd times an even number is even. And by the same argument above, if q² is even then q is even.

So both p and q are even which means both are divisible by 2. But that means they are not coprime, contradicting our assumption so sqrt(6) is not rational.

24.

)(3x + 8)(5-2x)

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25.

Name the following expression-1 +2+3

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This is Arithmetic progression experssion.Which (A.P) Expression .the numbers are in (1+2+3+....)be like ..is called A.P

26.

-Simplify the following expression:owl +

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27.

The angle of elevation of the top of a tower at a point on the ground is 30degree. If the height of the tower is tripled,find the angle of elevation of the top at the same point.

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Let AB be the height of the tower and BC be the distance between the tower and the observation point.

Let∠ACBbe the angle of elevation.

Thereforetan30=h/d⇒h/d=1/√3............(1)

If the height is tripled , let the angle of elevation beθ.

tanθ=3h/d=3*h/dtanθ=3*1/√3=√3θ=60

Thus the required angle is 600 deg.

28.

Factorise the following expression(i) x^3 - 7x^2

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factorisationx³ - 7x²x² (x - 7)

29.

e) 15 x 11 =(i)25 x 12 =

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165 and 300 is the correct answer

(e) ans. 165(i) ans. 300

165 and 300 is the correct answer of the given question

e) 165i) 300 is correct answer.

15×11=16525×12= 300 is the correct answer

15×11=16525×12=300 is a correct answer

165 and 300 is correct ans

165 and 300 is the correct answer

15×11=16525×12=300like my answer no copy

165 and 300 is the correct answer

abe itna assan toh hai answer is 165 and 300

165 and 300 is the correct answer

15*10+15=150+15=16525*10+25*2=250+50=300165 and 300 is correct answer

(e) =165 (i)=300

15×11= 165

25×11=300

15×11=16525×12÷300 is the correct answer

30.

Express the following expression in the form of a +ib

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31.

Exercise7.2Factorise the following expression1. a -4ab+46

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(a-2b)² is the correct answer of the given question

32.

1 Factorise the following expression:80-84)2-6 (p-84)

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33.

Ly+%9 = (14%) + दकरट) 0)

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Like if you find it useful

34.

Divide4693 \text { ly } 23

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4693/23after dividing4693 by 23answer will be204.0434

35.

l steel ball fals through a syrup at constant speed of 10 cm/s. If the steel ball is pulled upwardswith a force equal to twice its effective weight, how fast will it move upwards ?(A) 10 cm/s(B) 20 cm/s(C) 5 cm/s(D) -5 cm/s

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36.

8) The ratio of the height of a tower and the length of its sshadow on the ground is(01)5:1. What is the angle of elevation onaiadijan.o too m from its foot ism rom is fot isGromaa distance of too m from its foot is

Answer»

its height to length ratio gives tanwhich gives angle of elevationtan(theta)=sqrt(3):1 =tan60 angle of elevation is 60 degreee

37.

If [x] denotes the greatest integer less than orequal to x,then the value of \int_{1}^{5}\{\{x-3|] d x is

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38.

3.Prove that the Greatest Integer Function f: R → R, givenone-one nor onto, where [x] denotes the greatest integerby fox)-x], is neitherless than or equal to x

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A functionf:X→Yf:X→Ywhere for everyx1,x2∈X,f(x1)=f(x2)⇒x1=x2x1,x2∈X,f(x1)=f(x2)⇒x1=x2is called a one-one or injective function.

A functionf:X→Yf:X→Yis said to be onto or surjective, if every element of Y is the image of some element of X under f, i.e., for everyy∈Yy∈Y, there exists an element x in X such thatf(x)=yf(x)=y.

Givenf:R→Rf:R→Rdefined byf(x)=[x],f(x)=[x],where[x][x]denotes the greatest integerleqxleqx:

Step1: Injective or One-One function

For example, if we considerx=1.1x=1.1, we see thatf(1.1)=1f(1.1)=1.

Similarly, if we considerx=1.9x=1.9, we see thatf(1.9)=1f(1.9)=1.

⇒[1.1]=[1.9]⇒[1.1]=[1.9], but given1.1≠1.91.1≠1.9,

f:R→Rf:R→Rdefined byf(x)=[x],f(x)=[x],is not one-one.

39.

cot-XThe domain of definition of the function f(x)=where [x] denotes the greatest integerless than or equal to x is -(A)R(C)R-{0}(B)R-{+ Vn:n e It U{0}}(D) R-{n:nel)

Answer»

answer is c ok

Bhak sale

option C is the correct answer

Bhak salle

40.

For each t e R, let (t) be the greatest integer less than or equal to t.11 1215x-+0+X.(a) does not exist (in R)(c) is equal to 15(b) is equal to0(d) is equal to 120

Answer»

limx-->0+ x{(1/x) + (2/x) +.... +(15/x)}

limx-->0+ x/x{(1+ 2 +.... +15)}

limx-->0+ x/x{15/2(1 + 15)}

limx-->0+ x/x{15*8}

= 120

(d) is correct option

41.

What is Greatest integer?

Answer»

TheGreatest IntegerFunction is denoted by y = [x]. For all real numbers, x, thegreatest integerfunction returns the largestinteger. less than or equal to x. In essence, it rounds down a real number to the nearestinteger.

The Greatest Integer Function is denoted byy= [x].For all real numbers,x, thegreatest integer functionreturns the largest integerless than or equal tox. In essence, it rounds down a real number to the nearest integer.

For example: [1] = 1 [1.5] = 1 [3.7] = 3 [4.3] = 4

TheGreatest IntegerFunction is denoted by y = [x]. For all real numbers, x, thegreatest integerfunction returns the largestinteger. less than or equal to x. In essence, it rounds down a real number to the nearestinteger.

TheGreatest IntegerFunction is denoted by y = [x]. For all real numbers, x, thegreatest integerfunction returns the largestinteger. less than or equal to x. In essence, it rounds down a real number to the nearestinteger.

42.

Find gof and fog, if f:R- R and g R- R are given by f(x) - cos t and g(x)-3x. Show thatgof fog.R and g: R->R are given by f (x)x and g(x3xcos r a

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43.

73

Answer»

4/7*3/4=(4*3)/(7*4)=3/7

Reply step by step method

44.

is 9 m long, 8 m bdeforttafotrcmwde.A room2 m x 1.5 m and threeroad and 6.5 m high. It has one door of dimensionswindows each of dimensions 1 5 m x 1 m. Find the cost ot tonshing the walls at Rs 3.80 per square metre.was

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45.

rdinates of the points of trisection of the line segmeand (-2,-3).

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46.

If a and B are the zeroes of the polynomial x+ 73 + 3, then the value of(a – B)? is

Answer»

For the Given Eq

ans will be 37

47.

6x +21+1= 73-3

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48.

73-158=2IF 29-3

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49.

10. What nüiber mus be adutuWhat number must be subtracted from each term of the ratio 17: 33 so that the ratiobecomes 7: 15?11 If7 ie added to cach of the numbers, the ratio becomes

Answer»

let the number must be subtracted be x.

50.

A) 80160he distance between the points (3, 5) and (5, 7) is:r-coordinate of the point dividing the line-segmeatio 2: 3is:

Answer»

let x1=3, y1=5,x2=5,y2=7√(x2-x1)square+ (y2-y1)square√(5-3)square +(7-5)square√(2)square + (2)square√4+4√82√2answer is 2√2

2 under root 2 ......